numbers

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Top o’ the work week to ye!

I was going to title this post “top o’ the week to ye”, but I realize that many people consider the week proper to begin on Sunday; standard calendars in places such as the US and Canada and the rest of the British Commonwealth and so on look at it that way.  In Japan, on the other hand, I’m led to understand that the week officially starts on Monday, since that’s the day work starts, and Saturday and Sunday (Doyōbi and Nichiyōbi) are the weekend.

Though Japan has individually named weekdays referring to esoteric things much as we do in the West, the Japanese months‒at least their current, standard names‒are basically just numbered (though I understand there are older, more traditional names).  It seems pretty sensible just to number the months‒and the days, for that matter‒rather than give them names.

Then again, while there is a certain logic to the number of months‒related both to the length of the year and to the moon’s orbital period, both of which are objective, external facts‒the number of days in a week is pretty much arbitrary.

It seems the sort of thing that, around the time of the Revolution, the French might have wanted to make decimal, with, say, three ten-day periods (decadi?  decamaines?) per month and 36.5 of those a year.  I mean, multiples of ten were justifiably popular with them.  For instance, they defined the units of distance so that a meter was one ten-millionth the distance from the pole to the equator at the arc passing through Greenwich, England.

Thus, there were 10,000 kilometers on that arc, making the Earth’s circumference a relatively easy to remember 40,000 kilometers (with variations depending on which great circle you’re measuring).  Then they defined their measures of volume accordingly (a liter as one cubic decimeter, for instance), and then their standard of mass based upon those volumes of water, which is surely the most “standard” substance for living creatures on the surface of the Earth.

Of course, now the meter is “officially” defined in terms of the speed of light, which is, as far as we can tell, absolutely constant in all reference frames.  So, a meter is defined as the distance light travels in 1 / 299,792,458 seconds exactly.

The second, by the way, is defined as the time taken by 9,192,631,770 cycles of the unperturbed ground-state hyperfine transition in the electrons of Cesium-133, again exactly.

Of course, given General and Special Relativity, how long that takes can vary depending on one’s reference frame relative to other reference frames‒this is why the GPS system has to compensate both for velocity-based time slowing in the satellites relative to the Earth and gravity-based time slowing on the surface of the Earth relative to the satellites.  Ponder that when you use your GPS; it would not work at all without those constant corrections due to Einstein.

The specific numbers used to define the meter and the second are fairly arbitrary, but they are consistent, and so are useful.  They definitely make more sense than the choice of starting the week on “Sunday” in the part of the world formerly known as “Christendom”.

Think about it*.  Sunday is considered the Sabbath day in most Christian and formerly Christian cultures, certainly those influenced by the former British Empire.  But the Sabbath is supposed to be observed in remembrance of the seventh day of Creation, when God rested.

Leave aside the strange notion of an infinite being either reckoning days based on the cycles of one planet around one of hundreds of billions of stars in each of possibly trillions of galaxies.  We can accept that as a non-literal measure of time, since God is supposed to be outside of space and time, anyway**.  But why would an infinite being of infinite power need to rest?

Anyway, the original Sabbath, as observed in Judaism and a few of the sects**** of Christianity, is Saturday, the official end of the week according to that arbitrary choice.  Even the Spanish word for Saturday, for instance‒sábado‒is related to the word “Sabbath” or “Shabbat”, and Spain is traditionally a very Christian place.  I don’t know what’s behind the disjunction between the Sabbath and the end of the week occurred in the realm of “Christendom” when even some of the most Christian languages maintain the vestiges of a recognition that the sabbath day ought to be at the end of the week, according to their own “holy” book.

Oh, well.  It’s all arbitrary or at least stochastic.

Don’t get me wrong‒I like 7 for the number of days in a week.  It’s a prime number, for one thing.  It’s also the number of “non-fixed” celestial bodies known in antiquity because they were visible to the naked eye (the Sun, the Moon, Mercury, Venus, Mars, Jupiter, and Saturn), which is probably why we have seven days.  Many of the days of the week in western languages retain traces of having been named for those bodies.

Also, 7 times 52 is 364, which means 7 divides into the days of a year with only one and a quarter days’ remainder, so the same date will fall one day “earlier” on each subsequent year (two days earlier after a “leap year” but not after the turn of three out of every four centuries, because of the adjustments made in the Gregorian calendar).  At least they don’t skip quasi-haphazardly through the days of the week every year.  Such would be the case in a decimal “week”*****, unless one made the 5 (or 6) remainder days of the year entirely separate, not ordinary days at all.

This is, apparently, how the Hobbit calendar works in Tolkien’s world, though they put their extra days in “mid-summer”, around the summer solstice rather than around the winter solstice.

Well, this has been much ado about not much of anything but random trivia about time and measure and the days of the week.  I suppose that’s appropriate for what is the beginning of at least the work week for most of us, depending on how you reckon it.

Try to have a good day, everyone, in any case.

*There must be higher love.

**So says Francis Collins, anyway, and he ought to know***.

***Well…no, he oughtn’t know.  No one ought to know, or has any way to know, or any justifiable claim to know such things.  It’s all conjecture and speculation, unsupported by any evidence that would stand up in even a kangaroo court, and what can be asserted without evidence can be dismissed without evidence.  But never mind; it can be fun to think about it.

****Christians often seem much more comfortable dealing with sects than dealing with sex.  Ba-dump-bump.

*****Although…on non-leap years, the dates would cycle between two “opposite” days of the “decamaine”, then would ratchet over to the next pair on leap years, so that might be fun.

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It’s all a matter of degrees

It’s Tuesday morning, and I’m waiting for the second train of the day, the one I caught yesterday.  I slept a bit better last night than Sunday night.  That’s not saying much, but beggars can’t be choosers, as the saying goes.  It still feels a bit better, at least.  You know you’re in some weirdness when four or five hours of heavily broken-up sleep feels fairly restful, and you don’t even really consider bothering to go and catch the 4:20 train.

It’s relatively cool here in south Florida, by which I mean the current temperature is 57 degrees* according to my weather app.  This is, rather amusingly, lower than the app’s statement of what the low temperature overnight is supposed to have been.  Anyone paying attention might be excused for feeling that the app, in contradicting itself so flagrantly, should not be considered reliable.

Of course, it’s obvious that the app, or service, or whatever it is, simply doesn’t bother to update its “printed” overnight low prediction just for local minutiae.  It’s not meant to be too precise, and in any case, local temperatures can vary quite a bit.  The predicted low was 60, so it’s only off by 3 degrees.

Those who have not been thoroughly enough educated might think this is a five percent error—small, but not negligible.  That is not correct.  Both Fahrenheit and Centigrade are relative temperature scales, based around the freezing and boiling points of water, which is a useful, but provincial, set of benchmarks.

No, to get the correct error estimate we must work with the absolute temperature scale, or Kelvin, which begins at “absolute zero” the coldest “possible” temperature and goes up to whatever the maximum possible temperature is**.  So, the error in absolute degrees (which are the same size as degrees in Centigrade, by convention) would be 3 degrees times 5/9, or 15/9 degrees Kelvin.

Now, to get the predicted temperature in Kelvin, we first convert to Centigrade—by taking (60-32) x 5/9, or (28 x 5)/9, or 140/9, or about 15 and a half—then add 273 (which is what zero degrees Centigrade is in Kelvin, ignoring the digits after the decimal point).  So, the predicted temperature, in Kelvin, was about 288 degrees.  15/9 is one and two thirds degrees, so 1.67 degrees (taking 3 significant figures).  As a percentage of 288, that’s pretty tiny.

Here, I’m going to go to the calculator program on my laptop, and it gives me…roughly 0.58%.  That’s just over half a percent error.  Not too bad, when you think about it.  How often are your own estimates that accurate?  If you could pick stocks that well, you could rapidly become a billionaire, I would think.

Here’s a funny little aside:  the southbound train just pulled in across the tracks, and I’ve apparently used the Wi-Fi on that specific train before, because my laptop just prompted me to sign in.  The train is pulling away now, and it’s too late, but it must have a pretty good Wi-Fi signal.

Okay, on to other matters, none of which seem nearly as interesting to me.

I think I’m going to try to use the same person who helped my coworker (the one who had a stroke) get new health insurance at what appears to have been a very good rate to sign up for some for me.  I don’t even want to try to use Medicaid or Obamacare if I can help it.

I don’t trust the human government, anymore—as Radiohead sang, “they don’t…they don’t work for us”.  It’s not that I think the government overall is malicious or evil or whatnot.  It’s just that everyone in it is very small and parochial, working for their own local self-interest under local pressures and incentives.  It’s astonishing that they ever accomplish anything useful at all.

Ants and bees (and termites) do a much more impressive job when they build their hills and hives and mounds, but then again, they are individually less self-serving in many ways.  That’s not to their particular credit—it’s the just way nature has shaped them for their lifestyle and reproductive strategies—but it’s true, nevertheless.

Human governments, meanwhile, are made up of individually motivated creatures whose reproductive processes (and thus their drives and fears) are not much different from any other mammals’, but who try to work in ultrasocial settings as if they were some close relatives of Hymenoptera.  It’s a testament to the incredible power of language (particularly written language) that they accomplish anything at all.

When it has dealt with me specifically, “the” government has done far more harm than good, and most unjustly***.  The less I have to do with any level of their power—I will not grant them the word “authority”—the more comfortable I will feel.  I have a learned aversion and probably some form of complex trauma associated with such things.

I don’t see any reason to overcome that aversion, because I don’t see how it would make my life any better.  It certainly would not make local or state or national governments any less likely to grind me—or anyone else who isn’t massively wealthy and unscrupulous, which probably includes you—into bone meal.

With that, I’ll start to wrap things up for today.  It’s the fifth day of Hanukkah, so enjoy it.  Also, there are only a lucky 13 days left until the annual celebration of Newton’s birthday (they also celebrate some other guy’s birth on that day as well, and though he seems to have been a good sort of guy overall, he really wasn’t born on anything like December 25th).

Christmas was, of course, grafted on to a pre-existing solstice festival, and why not?  Heck, Newton’s birthday was only on December 25th according to the Julian calendar, so it’s at least a week or two out from the Gregorian “date of his birth”.  I could figure out the correct Gregorian date, but I can’t be arsed.  It’s a question with no gravity, no momentum, not even any real significant potential energy.  One might say it is of infinitesimal importance.

Have a nice day.

*Fahrenheit, of course.  If it were 57 degrees Centigrade, global warming would indeed have taken an abrupt turn for the very much worse, and we would all be in the express lane to extinction, unless it were a very transient phenomenon.  And, of course, if it were 57 degrees Kelvin, we would all already be frozen to death quite nicely, since even the nitrogen in the atmosphere freezes below 63 Kelvin, and oxygen is a liquid below 90 K (both of these numbers are at “normal” pressures, which would not prevail in these circumstances).  I don’t know quite what it would mean to be at a 57 degree angle outside—would that simply mean that everything in the universe had been rotated by slightly less than a sixth of a full circle?  Given the rotational symmetry of the laws of physics, from which comes the conservation of angular momentum, I don’t think anyone would even notice.  And, of course, the Earth rotates locally 360 degrees a day, by definition.

**If memory serves, it’s called the Planck temperature.  Anyway, this would be the temperature at which each local point in spacetime would be so hot that the local energy would make a black hole, and in any case, the usual laws of physics would break down.  However, of course, if that energy is uniformly spread out, as presumably it would have been in the very early universe, any local spacetime curvature might be entirely effaced, so there would be no such black holes, as all the universe would be full of such energy.  I think inflationary cosmology would imply that there never really was an era of such intense local energy, unless that would be the “inflaton field” itself, but I may be misremembering this.  Anyway, that’s getting well into speculative physics.

***I am, of course, inescapably biased in this assessment, and I honestly could in principle be convinced by argument and evidence that I am wrong.  Nevertheless, I don’t think I’m incorrect in considering that statement to be accurate and true, with a fairly high credence—certainly well into the mid to high 90 percent range.  In other words, if I considered about a hundred assessments in which I was comparably confident as I am to this one, I would expect to be wrong about only a handful of them.

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“A hideous throng rush out forever, and laugh—but smile no more.”

It’s Wednesday morning—quite a bit before five o’clock and well before when the day “begins”, at least if the day begins at sunrise.  That will come…let’s see…at 6:49 am.  So says the weather app on my smartphone.  I’m at the train station today even earlier than yesterday because I woke up even earlier than yesterday and the day before.

I occasionally entertain the whimsical—and clearly untrue—notion that a person’s lifespan is limited by the time they spend awake, and so I expect to die quite a bit earlier than most other people (on average) because I’ve spent more of my time not asleep than most people have.  I’d say I get on average at least two fewer hours of sleep a night than most people I know.

Many nights, it’s quite a bit worse than that.

In a year, that’s 730.5 hours (roughly, ha ha) of sleep deficit, which is just over 30 days.  Although, come to think of it, if we’re counting awake time as a day, and the “usual” waking day is about sixteen hours, it’s more like 45 days—which makes sense, since 24 is one and a half times 16, and 45 is one and a half times 30.

Yes, I did that figuring in my head.  It’s terribly impressive, I know*.  I did not, however, calculate the sunrise on my own, as I noted.  I don’t really know how to go about that.  I’m sure it could be done, but probably not with the data available to me this morning at the train station.  Clearly, when people started tracking and plotting the days and seasons and sunrise and sunset and all that stuff, they did not have smartphones or the internet.  Those were days even before Commodore 64s and TRS-80s!

Anyway, the point I was making is that with all those matters taken into account, if I average only two hours dearth of sleep (a conservative amount, since the deficit is often larger), given my notion of a fixed amount of time awake determining the length of a life, I’m chewing a month and half extra off my life every year.  That’s one eighth of a year per year.  Which would mean that, just since I was in my teens, when I already slept less than the other people in my family and the other people I knew, I’ve lost five or more years of my life.  And every year that I get older in real time, my ultimate lifespan shrinks another eighth of a year.  Eventually, those time fronts will collide, and that will be the end.

This raises an interesting coincidence**:  Autistic individuals are known to have a much higher incidence of sleep disturbance than the general population, and recent studies found that, in the UK specifically, the average lifespan of an autistic male is about 8 years shorter than that of the general male population.  That’s in the UK, where they have a National Health System and actual programs and support services in place to help people with autism, imperfect though those systems are.  I shudder to think what the expected lifespan reduction is in the United States; I think I have encountered estimates of ten and more years’ reduction in healthy lifespan.

Still, it would be silly (and foolish) to attribute that decreased lifespan to number of hours of sleep loss.  There are many ways in which people on the autism spectrum have difficulty optimizing their health, even when they are otherwise “high functioning”, as the term goes.

If you don’t think those difficulties really matter, consider my circumstance (and I’m not even sure that I have ASD; it’s very difficult for me even to seek out, let alone avail myself of, resources to get evaluated).

I have strengths and talents of various kinds, but I’m living in a single, modest room in an old, cinderblock house in south Florida where I sleep on the floor on a futon and eat only microwave or order-in food; I work as a sort of office manager/record keeper/verifier in a phone sales office; I don’t have a driver’s license or any of that stuff anymore, nor do I do anything socially or spend any time with friends or family.  I supposedly have an IQ in the low 160s, I graduated with honors*** from an Ivy League university (which I attended on a full scholarship), I won a National Council of Teachers of English Award in high school, I went to medical school almost as an afterthought, became a doctor and did that job pretty well while I was doing it (though the record keeping and management functions were anathema to me).

But I could not thrive in the human world for long.  My back injury and chronic pain contributed to my specific failure, but I’d already had many instances in which depression and difficulty with certain kinds of administrative and record-keeping tasks caused me to land in personal crises.

I’ve written six novels and (self) published five, as well as several “short” stories (published individually and/or in two collections).  I’ve recorded and released four original songs (poorly produced, by me, on free software and with cheap, cheap recording equipment), and have written and shared a few others.  I can draw (and paint a bit), I can sculpt (with clay), I play piano and cello and guitar, I can sing, and I can even act reasonably well (how else do you think I pretended to be human for such long periods of time?  I even fooled myself).

All these abilities just make me even more of a failure, don’t they?  “How the mighty have fallen!”

Enough.  I’m almost at my stop (the train arrived just as I mentioned the TRS-80, which sounds like an omen…but an omen of what?), so I’ll wrap it up.  I guess I’ll write another post tomorrow, for what it’s worth.  Have a good day.

1427235137816

*I know, I know, it’s not actually impressive.  It’s easy enough to figure with multiples of 2, and 2 hours a day times 365.25 days per year is simply enough 730.5.  I left the extra digit just to be silly; it’s not significant, especially since, in the very next operation, I needed to divide that number by 24 hours in a day.  Since 3 times 24 is 72, I know that 730.5 hours is just ten and a half hours more than 30 days.  I could then simply have applied the 24 = 1.5 x 16 to do the next calculation, but that only occurred to me afterwards.  Anyway, it’s more fun to note that since 9 time 8 is 72, 16 goes into 72 four and a half times, and then multiply by ten, since 730 is ten times 73.  The remainder there is the same as with twenty-four—ten hours and a half—but that’s a bigger fraction of a sixteen hour day than a twenty-four hour day.  All this silliness at least can serve to remind us that the Phoenicians or Babylonians (I forget which) were not foolish to do things in 60s and 24s and 360s and so on—all these numbers are so readily divisible into fractions that they’re terribly useful.

**And yes, it is all coincidence.  Please don’t take my “lifespan limited by time awake” notion seriously.  Though it is certain that chronic sleep loss diminishes one’s health and can reduce one’s lifespan, it is not a simple arithmetic process, and there’s not the slightest reason to think that human lifespans are determined specifically by number of hours awake.  That’s even sillier than the notion of a lifespan being determined by the number of heartbeats one has.  I’ve had sinus tachycardia all my life; I would have been dead years ago if a lifespan were determined by numbers of heartbeats.

***I wrote my 50-page honors thesis in one weekend after it was revealed to me that I had misremembered the due date as being a month later than it was, and having been grudgingly given that one weekend extension to get it done if I wanted to get honors.  It turned out decently, because even then I could write very quickly tolerably well under pressure, and I knew my subject.  But this demonstrates all the more how, despite having talents (and some skills), I am rotten at navigating the ins and outs of human society (I’ve only gotten worse since then, because I’m just more and more worn out).  It wasn’t even my idea to try for honors; that was my then-fiancée’s idea.  It was something that looked good on resumes and applications.  Such thoughts, about self-promotion and seeking advancement in that fashion, have never been natural to me.  They are, if anything, worse now that I am on my own.

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…or art thou but a dagger of the mind, a false creation, proceeding from the heat-oppressed blog?

Hello and good morning.  It’s Thursday again, against almost everyone’s better judgment, and so it’s time for another Thursday edition of my blog post.

I had a subjectively bizarre day yesterday, or a disquieting day, or a disheartening day…something along those lines.  Outwardly, it wasn’t that strange, I suppose.  Inwardly, I’ve been feeling increasingly weird and disjointed.  I don’t know if that’s showing itself in my writing at all or not; there’s no good way for me to tell.

There have been two closely spaced opportunities to have palindromic number sequences in the 8-digit recording numbers this week.  If it seems strange to you that there should be two that come close together, just think about how, up until a number sequence is centered on “99”, the stepwise increase in those middle two numbers to keep them the same is 11, 22, 33, 44…and so on.  Then, right after 99, it immediately flips over to “00”, and the sequence restarts.

Anyway, we passed the 99 one earlier this week.  I think it was Tuesday.  Then, yesterday morning, it turned over to 00 and then it was just a matter of the last 3 digits being a reverse of the first.

It was getting close, and the numbers were increasing only slowly, because it was early in the day.  Then, there was a long break between deals, and I took a moment to dial the verification line just to see what number we were on.  It was only 12 shy of the palindrome!

Then, I had to use the restroom, and during the half-a-minute while I was in, a new deal closed and my coworker went over to begin verifying it.  Shortly after I came out, he sort of waved me over.  I thought he was going to give me the paperwork so I could begin processing the deal, but he pointed at the recording number:  26500562.

He knows I’m into number patterns, and he figured I’d like that.

Afterwards, I asked him the (probably strange) questions, “That’s really what the number was, right?  You didn’t just write it down that way because you knew I’d like it?”  He chuckled, obviously understanding at least some of my wish to confirm the result.  But no, it was real. It was a palindromic number.  I should have been pleased and even thrilled.

All I really felt afterward was a deep and profound worsening of my feeling of depression.  I didn’t feel like I’d gotten a message from the universe, but even if I did, it was way after the “due date”, which would have been last Friday at the very latest (and that was a date that had been pushed back repeatedly).  I could think of excuses to invalidate it, like saying I had skewed the results by calling the recording line earlier.  But that’s all just a silly way of messing with oneself.  What it really came down to was:  the number wasn’t enough to give me motivation.  It was definitely cool, but it didn’t mean anything deeper to me.

I’ve experienced similar phenomena before.  From time to time, I’ll be slightly torn about a particular course of action‒nothing momentous, just usually choices of a meal, such as whether to eat something healthy or something indulgent‒and I’ll flip a coin about it, usually one of my collection of dollar coins.  Sometimes I’ll flip three or five or even nine of them, as if taking a vote.  Then, when I have the outcome…well, I’ll often realize that, no matter the result of the coin flips, I want to do something other than what the result directs.  And so I ignore that result.

It’s a psychologically interesting phenomenon.  The coins don’t act as a true decision maker, but they do clarify, for me, what my real wish or inclination is.  So it’s useful in some ways.

The palindromic number is similar.  Maybe if I did have some kind of stupid, quasi-mystical idea of what the numbers symbolized, I would find it more compelling.  But, of course, I have no actual belief that the universe is sending me any messages.  In a way, it’s good that one turned up‒way after my original deadline and idea‒because now I know that it doesn’t give me any more reason or drive to live at all.  Rather, it just highlights the fact that I have no such drive or reason, and it was absurd to think an eight-digit number sequence could provide it.

Yesterday it also turned out that my coworker’s wife‒who is also a coworker‒is coming down with a cold, and so it looks like they aren’t going away this weekend but are going to reschedule to go next weekend.  This would have me push any plans or tentative ideas back yet another week.  I almost started to cry in the office, and just had to sit and look at my computer screen or down at the top of my desk for a while.  My coworker asked if I was okay, and I said, honestly, “No.”  He then asked what was wrong and all I could reply was, “Nothing new.”

Anyway, since then I’ve acclimated slightly to the schedule change.  I know that the palindromic numbers don’t actually mean anything to me, and that realization made me feel even more depressed.  And the timing of the date pushback is also more depressing.

But, on the other hand, this coming Sunday is October 1st, and when the first of a month falls on a Sunday, that always means that there will be a Friday the 13th in the month.  And that will begin the weekend after my planned-to-be pushed back work weekend.  So, if I want a good day to take some special action, and I can’t use Bilbo and Frodo’s birthday, then after a Friday the 13th, especially in October, is at least mildly ominous.

Well, okay, not really.  Not to me.  I like the number 13, and Fridays the 13th are good days, especially in October.  Also, both my niece and my daughter were born on the 13th of their birth months, albeit different months and widely separate years, so I can’t feel that the 13th, Friday or otherwise, bodes ill, and I never have.

Really, I see this coming Friday the 13th and related events as potentially…well, not good, maybe, but at least as good as things are going to get.

In the meantime, I must say I’ve been having a lot of bizarre sensory impressions recently.  It’s not that anything particularly strange is happening‒I myself am the strangest thing in my own life, to be honest‒but I keep having this odd feeling that things aren’t actually the way they seem to be, though they seem “normal”.

It’s not a feeling of déjà vu, but it’s almost similar in character.  It’s as if the familiar things I’m seeing and doing and feeling are actually simulacra or illusions‒or perhaps that the memories I have of having been in these places before is an illusion, a false memory.

Also, the flow of time feels a little off.  For instance, when I’m waiting for one light to turn green after another turns red, it seems to take several seconds, way longer than usual, to the point where I find myself looking around impatiently while at the crosswalk.  It also seems that drivers are taking longer than usual to start moving after a traffic light changes.  Things all around me seem to be moving more slowly.  This does not, however, really give me any advantage; I am moving slowly too.  I can only observe the phenomenon, not act more quickly than usual, relatively speaking.

I think there has been an increased frequency of me thinking I see movement out of the corner of my eye, or I hear a noise of movement just beyond eye-shot.  When I see such movement or some shape out of the corner of my eye, I first suspect that it’s a bug of some kind, but that’s not new.  This is south Florida in the hot and wet part of the year.  Seven times out of ten, such movement really is a bug.

I’m also feeling the need to check my pockets even more frequently than usual to make sure that I have my wallet and keys and phone and all still with me.  I never feel secure about that.  I’m not sure that I want to feel secure about such things.  I’d rather be anxious than overconfident and wrong about keys and wallet and phone, etc.

The tension does wear me out though.

Anyway, I don’t feel that reality is illusory, though I feel increasingly distanced and separate from it.  It’s more as if, perhaps, I myself am an illusion.  It would be an elaborate illusion, of course, since I would even have illusory thoughts and experiences and dreams and all that, but hey, according to some Hindu beliefs, all of reality is but a dream being dreamed by Brahma.

It’s reminiscent of something Stephen King described in Danse Macabre, and which was quoted in the Vsauce video about “creepiness”:  Imagine coming home and realizing that everything you own has been replaced by an exact duplicate.

It’s not that I actually think that.  I don’t.  But it almost feels vaguely that way, only it’s all of reality that feels like it’s a replica…perhaps including me.

I guess it doesn’t matter, anyway.  Our experience of reality is always a form of constrained dream.  It shouldn’t make a difference if it sometimes feels more like a full-fledged dream even while awake, especially for someone like me, who has such bad and long-standing insomnia.

That’s enough for now.  I don’t really know what, if anything, my point has been‒here in this blog post, or the point of my existence in general.  I hope you all have as good a Thursday as you can.

TTFN

dagger of the mind merged down

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But if of ships I now should sing, what ship would come to me?

It’s Friday, September 22nd (in 2023 AD or CE…I don’t know what year it might be by Shire reckoning), and that day is the birthday of both Bilbo and Frodo Baggins, the primary characters of The Hobbit and of The Lord of the Rings*, respectively.  They are not close in age, though Bilbo had adopted Frodo as his heir.  In the first chapter of LotR, we find the two celebrating their mutual birthday, when Frodo is turning 33 and Bilbo is turning 111 (eleventy-one, as hobbits apparently say) with their combined ages coming to 144, a “gross”.  So, the age gap is 78 years, but it seems smaller because Bilbo’s life has been stretched by his ownership of the Ring.

An interesting thing to note (for me, at least) is as follows:  since 33 is clearly divisible by 3, and so is 111 (its digits certainly add up to a multiple of 3), then the difference between them, 78, must also be divisible by 3.  Which it is, of course.  78 is 3 times 26, 111 is 3 times 37, and of course 33 is 3 times 11 (which is, of course, 37 minus 26).  This also means that the combined total of 144 is 3 times 48, which it is.

That doesn’t work the same way in reverse, of course.  Just because the difference between two numbers is a multiple of 3 doesn’t mean the numbers themselves are (though if one is, the other is).  As a relatively extreme example, 137 and 149 are both prime, but their difference (12) is a multiple of three.  Obviously, no prime numbers (other than 3 itself) are multiples of 3, by definition.

On the other hand, the difference between any two primes, as long as neither of them is 2, is an even number, since all prime numbers larger than 2 are odd numbers (the even numbers all being divisible evenly by 2), and the difference of any two odd numbers is always going to be even.

Okay, sorry to bore you with all that.  I like trivia about numbers, and especially prime numbers.  I particularly like those primes that others disrespect, or at least I want to show them respect, as it were.  I think I’ve mentioned here before that I used to always try to put 13 gallons in my gas tank whenever I “filled it up”, back in the day.  It didn’t mean anything‒I have no suspicion that there are any mystical qualities to any numbers‒I just thought it was fun, to the point of my being disappointed when I couldn’t do it.

Anyway, today is a memorable day, at least for Tolkien fans (of which there are many), and tomorrow is the equinox, the start of Autumn in the northern hemisphere, and of Spring in the southern hemisphere.  Then, starting Sunday night at sundown, as I mentioned recently, is Yom Kippur.

So, this should be an auspicious weekend for embarking on momentous “journeys” of one kind of another.  But I’m stupidly going to have to wait, out of deference to my coworker.  He went home sick after lunch yesterday, but hopefully he will be in today**.  This is his weekend to work, and I have no desire to cover for him, because he obviously won’t be working next weekend, which would make three weekends in a row for me.

I’ve worked worse and harder schedules, of course, but I was younger then, and I had actual reasons for working and staying alive.  I was literally saving other people’s lives as well, and I was also relieving suffering, to the degree that I could.  Now, I’m a few decades older, and I have no particular reason to work even just to keep myself alive.  I’m not doing any good for anyone, least of all myself.  I’m almost certainly a net detriment to the people who have to interact with me‒this seems a fairly firm conclusion, given that most people have eventually wanted to get away from me, even people who love me, like parents and spouse and children.  I’m definitely not of much benefit to the world at large, either.

I plan to fast on Yom Kippur, which I usually do, though I’m not observant in any other way, anymore.  I think the fast is a useful, or at least interesting, thing.  Since it’s only 24 hours, it’s a full fast, meaning no food or water or anything else, though one is expected to take any medicine one usually takes.  The preservation of life supersedes all competing mitzvot.

Anyway, sorry, I’m being boring again, I think.  I meant to say that I may not write a blog post on Monday morning‒just as a little nod to the day‒or I may write one early, on Sunday, and put it up with a delayed publication time, so it will show up Monday morning.  Or I may just write one on Monday as usual.  It’s not as though I have any true, deep connection to any form of ritual or observance.  Why should I fool myself or anyone else?  I certainly don’t think any external, let alone supernal, aspect of the universe cares about my actions in any sense, or even about my existence itself.

I guess we’ll all have to wait and see what I do.  Maybe something will happen and take it all out of my hands.  That would be okay.  Or maybe I’ll lose my tenuous grip on what remains of my will to live and decide that I don’t care about inconveniencing anyone anymore.  I’ve spent a lot of time and energy in my life trying to make things as easy as possible for other people, and (as I said) to relieve suffering when I could.  It wears me out.  It has worn me out.  And it’s not as though it’s had much in the way of compensatory positive effects on my own life, though I guess I should never have expected to be rewarded or admired for things that were, in the end, my decisions carried out because they were what I thought I should do at any given moment.

The universe is uncaring, and humanity as a whole often instantiates that fact quite glaringly, though they do‒occasionally‒display behavior of a nicer, kinder type.  There often doesn’t seem to be enough of that aspect to go around, even on Earth, let alone on a universal scale, but then again, benevolence and beneficence are not substances, and there are no conservation laws concerning them.  They can, in principle, increase without limit.  They can also diminish and even vanish utterly.

If I had to bet on which I thought was more likely, all things considered, I would probably bet on the latter, but I would hope to lose.  I’m okay with losing things like that.  Hey, as the theme song from MASH notes, I’m going to lose at this game anyway.  So there’s not too much point, in and of itself, of trying to drag it out for its own sake.  It’s one thing if there are other variables, other pressures, other forces, other fields, other considerations‒those can make the game worth playing for as long as one is able.  But the game, in and of itself, is not necessarily an inherent good.

That was slightly cryptic, I guess.  Sorry.  I have a hard time saying clearly what I mean, partly because I’m often unsure, myself, and at other times because I simply can’t seem to express my feelings well.  Occasionally, I think I’ve done it reasonably well in my songs, like in this one, or this one, or cover songs like this one and this one and this one and this one.  But those don’t garner much of an audience***, so it doesn’t really matter, as anyone can see.

Enough!  I’ve already wasted too much of your time.  Have a good first day of Autumn tomorrow, enjoy your celebrations of Bilbo’s and Frodo’s birthday (you do celebrate it, don’t you?), and if you observe Yom Kippur, then g’mar chatima tovah and good Yom Tov.

bilbo frodo birthday adjusted

*Though, of course, while the title character of The Hobbit is indeed Bilbo Baggins, the title character of The Lord of the Rings is the villain, Sauron.  Just imagine if the Harry Potter books had been titled, for instance, He Who Must Not Be Named and the Goblet of Fire.  Actually, that’s not bad, is it?

**It turns out he will not.  He has some form of sinus infection.  When I got his text I actually started to cry a little; I hope he doesn’t call out sick tomorrow.

***Certainly nothing close to the size of the audience for The Rockford Files in its heyday.  Get it?  Garner?  Rockford Files?  Never mind.

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A mad moon and a mopey Monday morning

Well, here I am at the train station, waiting to get on the train to go to the office to start another week of work.  Yippee.  Yippee, I say.

I’m writing this on my phone, but the base of my thumbs are feeling sore, so I’m going to try to keep it brief*.

There appears to be some issue with the Tri-Rail this morning; the first train of the day is apparently delayed, which is going to mean that the second one is as well.  I may just Uber to the office and blow yet more money.  At least part of that money will go to someone who’s trying to earn a living by driving.  And late trains are always crowded.

I think I’ll do that.  I should’ve walked to the train, anyway, but I didn’t feel like starting the day sweatier than I already am.  Hopefully I’ll have the willpower to walk in the evening.

***

I’m in the Uber now**.  There’s been no sign of any of the trains approaching, and even the Tri-Rail tracker and the main Tri-Rail websites are not responding.  One might be inclined to guess there had been some kind of cyber-sabotage, but the automated (but specific) overhead announcements were working fine.  Probably it’s all something (or things) far more prosaic.  But the 1st train of the day was announced to be arriving 35 to 45 minutes late, which is already later than the second train of the day, so that one’s likely also to be late.

It’s a bit of a challenge to type on the cell phone while in a car going up I-95, and I wonder whether it would be easier or harder on the laptop (computer).  I’m not planning to write the whole remainder of the post here in the car.  I like to keep track of an Uber trip both on the app and outside, sort of watching how fast (or slowly) it updates.  It’s not important, but it’s oddly engaging, and I can’t do that and write at the same time.

I can see the rising crescent moon outside the right window as I’m heading north (obviously).  I saw it first thing when I stepped out this morning, and thought it looked like some kind of insane (lunatic, if you will) exaggerated grin.

Of course, when the crescent moon is bright and near the horizon, it will always be a grin, not a frown.  The crescent always faces the sun, so if it’s “frowning” it will be following the sun in the morning or leading it down in the evening.  Thus, a frowny moon is going to be a daytime moon, and so less visible than a grinning one.

I think I’m right about this, based on positions and optics and stuff.  I’ve never read about it specifically, but it seems that this is the way it has to be.  Someone please correct me if I’m wrong.

My Uber driver is driving a Tesla, which means I’m sitting in a Tesla.  I must say, the front end of Teslas look disquieting to me, because there is no grill (there doesn’t need to be air intake for an electric motor, other than perhaps for cooling, since it doesn’t use combustion).  Though it makes sense, it always reminds me of the scene in The Matrix, when the Agents made Neo’s mouth disappear, or the fate of the formerly shouty sister of Anthony in the Twilight Zone movie version of It’s a Good Life.  A human face with nose and eyes and no mouth is disquieting to see.  Still, they seem to be good cars, and the lack of a grill probably improves the aerodynamics.

***

Now, here I am at the office.  Though I could finish this on the desktop (the computer, that is‒I am sort of leaning on the desktop at the moment), I’m continuing it on the phone because it feels better to finish where I started.  I’ll do the editing on the desktop (computer), though.

There is a crosswalk on the way to the office****, and the walk signals there have been hosed for months, and nothing seems to have been done about it.  When one is on the west side of Military, waiting to cross Hillsboro, the walk signal never activates.  This is despite the fact that I push walk signals buttons in ascending primes.  In other words, I first push twice, then I pause, push three times, pause, push five times, pause, seven, pause, eleven, pause, thirteen, pause, seventeen, pause…and so on.  It rarely gets that far.  Usually, during the main part of the day, the simple needs of traffic on Military make the thing turn before too long and stay turned for a decent duration, despite the fact that it is, as I say, hosed.

However, this early in the morning, the wait is longish‒there’s much more Hillsboro than Military traffic‒and then when it does change, the change is very brief.  This, at least, demonstrates that it’s not merely a problem of the signal, i.e., it’s not just that the walk sign is not lighting up while the system is otherwise processing things as it is supposed to process them; in other words it’s not just an indicator light problem.  No, the actual walk signals’ input and activation systems (north and south directions) on the west side of that intersection are not functioning.

I had to cross, though, so once the light turned green for traffic in my direction (and once I was reasonably sure the guy in the eastbound truck on Hillsboro, who was going way too fast coming up to a red light, was going to stop before the crosswalk) I scuttled off to cross the street.  But the light turned after the one car each going north and south passed, and it was red before I was much more than halfway across the street (and green for cross-traffic) even though I walk rather quickly.  So, if anyone works for Broward County in the division that manages such things, or knows someone in that division, please let them know this thing needs fixing.

I’m not sure how one would go about alerting them to the problem.  I suppose there might be some phone number or email system online.  I often toy with the thought of deliberately getting hit by an oncoming vehicle while crossing that street and, assuming I survive, explaining that the signal was broken.  It would be making a point and chastising reckless drivers at the same time.  It would also give me a break‒figuratively and perhaps literally.

I doubt I’ll do that.  I tend to be much less careful about entering crosswalks than I used to be, though.  I figure, if I have the right of way and get hit by someone driving inappropriately, well, that might kill two birds with one stone‒or two anthropoid idiots with one vehicle.

I doubt I’ll kill myself using traffic, though I suppose I might act on an impulse if the circumstances were just right.  It’s just generally rude to the innocent drivers out there‒people commuting, all that stuff.  I’d much rather do something quieter and less messy and more polite.  I’m working on it.  I’m reasonably clever and creative, so whatever I choose from among the options I’m considering, it will probably be both effective and not too messy.  Unless I change my mind about avoiding that.  My mind is not my friend, in many ways, so I can’t be sure it will always stick with my preferences.  After all, I’d prefer not to be stressed and angry and depressed and insomniac and in pointless chronic pain, but, oops, it’s all there.  I would rather be reasonably happy and together and have friends and my family and have all of us be reasonably healthy.

I would also prefer you all to have a good day and a good week.  Look after yourselves and those you love; you can’t count on anyone else to do it.

mad morning moon

*I did not succeed.

**I’m not behind a plow***.

***Or “plough” if you prefer the British spelling.

****They do not call it the Rising Sun…or even the Rising Moon

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No bootlaces to be tied by this Monday’s child

Well, it’s Monday again—the 21st of August—and today I am writing this on my mini-laptop computer, as I said in my Saturday post that I would try to do.  So, at least some of my intentions do end up happening in the world, if they are minor and mainly inconsequential.

Of course, most of what anyone ever intends, or does, or does not do, is from any kind of serious perspective inconsequential.  One can also make the argument that, since pretty much everything is inconsequential, then everything is consequential, from the corollary or converse or obverse or whatever the term is of Dash’s point in The Incredibles*.  And, to stick with Sci-Fi/Fantasy worlds, the 11th Doctor more than once made the point that, in all his travels through time and space, he’d never met anyone unimportant.

So, congratulations, your decision about what to have for breakfast—and whether or not to have anything at all—is just as important to the cosmos at large as any decision that might be made today by any head of state in the world.

Does that make you feel important?  In what way?  Or if not, why do you think it doesn’t?

[Sorry, somehow that felt like the proper moment to pretend to be a cartoon-style psychotherapist.]

Speaking of psychotherapy and its targeted problems, I missed yet another potential stop-code among the recording numbers in the verification system on Saturday.  As the day started, with the first deal, we were coming close to a potential palindromic sequence, and we had two deals in quick succession, so it seemed we might just land on it this time (although there was never very much of a chance).

Anyway, there was then a long gap between deals, and we blew right past the next potential one by well over a hundred by the time we made our next deal for the day.  There won’t be many more opportunities between now and my semi-planned final takeoff date.

Even if a palindromic number sequence were to come up, I’m not sure what I would do about it.  I don’t truly believe in any kind of mystic notion relating to numbers, I just find them mildly amusing to play with, and so gave myself this notion of an “abort code”**.  But if such a number came up now, I don’t know that its occurrence would sway me one way or another.

In any case, I’m the only one who would know, since no one at work seems to have even the slightest clue that I feel self-destructive in the first place, let alone that I set myself little escape hatches or potential self-messages to give up on ending things.  It’s not for want of wanting to get the idea across to people—without being unnecessarily melodramatic or intrusive, anyway—but I don’t seem to be very good at crying for help.  I guess that’s a pretty big weakness.

Still, if a palindromic number sequence were to come up sometime between now and, say, Bilbo and Frodo’s birthday, I think I would just find it a curiosity.

I think I’m going to start to phase out even the few little things I’ve been doing to try to improve my mental health to whatever limited degree I am able to do it.  As regular readers will know, I stopped taking any form of anti-depressant, since it wasn’t working for me at all, and the side-effects were annoying.  I think I’m going to stop even trying to improve my sleep anymore.  Talk about tilting at windmills; I haven’t been sleeping any better than I used to, and I certainly don’t think my mood has improved.

But if it has, it’s done so in a tiny, miserable little way, which in some ways could be a curse.  It’s a bit like taking a disease someone has that’s killing them and pulling back its intensity just enough so that they can stay alive indefinitely, but not enough to make them feel any better or be any healthier.

Come to think of it, it’s not a bit like that at all; it’s exactly and literally that.

[Brief side note:  I’ve noticing that my laptop is very laggy—at least, my laptop computer is—as I’ve been using it today, especially once I activated the auto-save.  I don’t know why it’s especially slow at this point.  I haven’t upgraded it to Windows 11, since I worry that it wouldn’t handle the change that well, and I don’t like unneeded change myself if I can help it.  Also, I don’t really think that’s the problem.  It was never meant to be a speedy and powerful computer, since I got it just to write stories and blog posts.  Oh, well, maybe it’s just that I haven’t used it in a while.]

So far I’ve resisted the urge to get an Uber to the train station; my plan is to try to force myself to take the bus to the train, and then on the way back this evening I intend to try to walk back to the house from the station.  The only real impediment to the walking is the heat; the exertion itself doesn’t intimidate me.  The potential for added pain is sometimes a concern, but I think I’ve adjusted myself, shoe and knee-brace wise, in ways that keep that stable, so the walking doesn’t make things worse.  Knock on wood, if you do that sort of thing.

Soon it will be time to close out the first draft of this post and head for the bus stop.  I guess I’ll try to listen to some podcast or other on the way.  I don’t have any real interest in listening to any of the audio books I have.  I don’t have much, if any, interest in reading any book books, frankly, digital or paper.  Even non-fiction is getting unworkable, and I’ve long since lost my ability to engage in fiction almost entirely.

I’m also getting bored with the Euchre app game that I play, and with the Sudoku app that I play, and frankly, with everything else.  YouTube is getting boring, the various news sites and blogs I try to read can’t seem to catch my attention or lift my spirits.  Nothing seems to be working, and the days are getting shorter now, so to speak, so the seasonality to my mood is heading into worse territory.  This whole game is getting more uninteresting by the moment.  In the words of the WOPR from the movie War Games, it seems that the only winning move is not to play.

But of course, once you can choose your move, you’ve already been forced to start playing.  It’s all rather unfair and unkind, but that’s reality for you.  You get squeezed into the game without being consulted (since you cannot be consulted until you’re already in the game) by people who were themselves squeezed into the game without being consulted, all the way back to the beginning of the whole thing.  So, I guess none of us should feel too bad if we fail to live up to some expectations or ideals or something along those lines.

That’s enough half-assed philosophy for today.  I hope you all are starting what is going to be a good week, and that you have reasonably good weeks from now until the end of your days.  Why not?  I might as well hope for that for you.  You deserve it as much as anyone does, and probably more than most (from my point of view) since you are people who read.

*When his mother told him, “Everyone’s special, Dash,” he replied with, “Which is another way of saying no one is.”

**Though, in sense, it should be considered an anti-abort code, like the process needed to turn off an auto-destruct sequence for a spaceship.  Why would so many imagined futuristic civilizations make spaceships with self-destruct systems, anyway?  Are they all carrying state secrets of some kind?  We don’t put autodestruct systems into cars or trucks or trains or planes or even warships, tanks, and fighter jets.  It’s a weird thing to do.  I suspect it’s usually just a rather ham handed plot device, and once it happened prominently in one story, other stories mimicked it.

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Numbers and trains and colicky pains, those are of what this blog post is made

It’s Tuesday morning, August 8th, 2023.  I was writing out the numerical date combination as I saved this post draft, and of course writing that date, 8-8, is a tiny bit of fun, not least because it is the same whether in European or American configuration.

What’s also interesting‒to weirdos like me, anyway‒is that if you write 8-8-23, you can consider the fact that 2 to the 3rd power is also 8, giving you three 8s in a row, in a sense*.  It requires a bit of twisting to make it work, obviously, and just as obviously, you have to ignore the first two digits of the full year to make it even come close to working, but it can be done.

Such is the way with all such numerology (and bible codes and the like); they all involve tortured logic to the degree that you can find almost any sort of pattern you might want to create if you’re dedicated enough.  But those patterns are clearly all in the eye of the beholder.

There’s nothing wrong with seeing and finding patterns in things and being amused by them, but don’t imagine that those patterns are actually “real” in the sense that they are put there deliberately by someone or something other than the one who finds them.  To imagine that some other power is trying to communicate with, or about, you is called, if I remember correctly, “ideas of reference”, and can be a hallmark of delusional psychopathology.

People are prone to self importance, unfortunately.  Perhaps it’s a defense mechanism against the heartless meaninglessness of existence, but it is rather amusing and often pathetic.  Even Heath Ledger’s Joker in The Dark Knight falls prey to this, though he is fictional and certainly not sane in any ordinary sense.  He says that he is an “agent of chaos”…as if chaos would need an agent.  Trust me, it gets plenty of work without any help.

Especially in fantastical literature, from myths, to heroic epics, to horror novels, to comic books and the like, people are often claimed to be “agents of…” various things, such as Death, Evil, Good, “The Balance”, that sort of thing.  In the real world, though, forces of nature and philosophical ideas do not operate through nor do they require “agents”.  Just imagine someone claiming to be “an agent of Gravity”, or “an agent of Electromagnetism” or “an agent of the Fine Structure Constant”.  It’s rather laughable.

Anyway, I’m not writing this on the night before posting‒that would have been the 7th‒but am sitting at the train station to write it.  I got to the station for an early train, but it is in fact delayed almost to the scheduled time of the next train, which is absurd and pathetic.

They’ve only just now begun an announcement that it’s going to be late, now that it’s already five minutes past its due time, and they say it will be delayed 15 to 20 minutes (currently the tracker estimate is actually 22 to 23 minutes late).  Then they say, “stand by for more information”.  They always say that.  But more information never arrives.  It’s just some kind of boilerplate that sounds quasi-military or official and impressive but means nothing.

I don’t understand why there are delays so often.  It’s their own schedule.  In Germany or Japan the people running this show would have been fired long ago.  And this is one of the best run things I know in this part of the world.  It would be enough to make me fall into despair-oh, if I weren’t already there**.

I had a bad day yesterday.  Though I did walk to the train, and that was fine, by the time I got to the office, I started having worse, and new, pain in my left mid to lower back.  It was very spasmodic and squeezy in nature, and quite severe.  I suspect I might have been passing a small kidney stone, given the character and location of the pain.

At my request, my boss tried to get me some urinalysis stuff from the local drug store so I could see if there was any microscopic blood in my urine, but all they had was UTI tests.  I didn’t have a UTI, to no one’s surprise.  Though maybe, just maybe, there was a trace of leukocyte esterase, which might indicate a tiny few white blood cells such as might accompany slight bleeding.

Anyway, the only thing I could do was drink lots of liquids, which I tried to do, and take lots of OTC pain meds, which I did.  It seemed gradually to progress and decrease, and now mostly there’s just a small remnant ache, overlying my usual pain.  It’s too bad I didn’t hurt enough for me to go to the hospital, but all they would have done at most would have been to give me IV fluids and maybe some pain meds.  Probably not.  There’s nothing much to be done.  Life is pain, as the Dread Pirate Roberts said.

Well, they have canceled that late train‒apparently due to mechanical troubles‒and now it’s started to rain heavily.  The 540 train is going to be doubly crowded now.

I hate crowded stuff.

Then again, basically, I hate my life and I hate myself, which is the ironic, opposite counterpart of the mantra which, as I mentioned yesterday, I formerly tried to train into myself.  In the morning, I feel miserable about going to the office, and in the evening, I feel just as miserable about heading back to the house.  There’s nothing in either place that gives me joy, and sleep for me is neither very long nor unbroken nor restful.  I don’t remember the last time I slept more than 2 hours before I started waking up repeatedly, not at all refreshed.

At least at the office there are people with whom I can talk, though not really about anything in which I have any interest.  I can call my sister sometimes in the evenings, when she’s off work and I’m not too tired and I get off early enough.  Or on a weekend.  That’s good.  It’s infrequent, though, and my poor hearing is annoying when using cell phones.

Otherwise, my life is empty, as you all know by now, I’m sure, and there’s no prospect of anything new or good or interesting in the future.  What does one do with something once it’s empty?  Well, if it’s recyclable, I guess one can recycle it.  I am not a recyclable container, as far as I know, or if I am, I’ve already been recycled a few times, if you can call major, sometimes catastrophic life changes to be “recycling”.  The usual practice after recycling is done, I think, would be to throw the empty container away.

That’s enough blogging for today, I think.  It’s probably more than enough for any day or any lifetime.  I’m really sore, and I’m really tired.

*By the way, 8 to the 3rd power is 512, which astute readers will note is also 2 to the 9th.  This makes sense because 2 to the third is 8 (as noted), and taking 2 to the 3rd to the third is the same as taking 2 to the 9th.  It’s some minor fun with exponents, and with powers of 2 and 8, which certainly is pertinent to bits and bytes in computer science.  On the other hand, 8-8-8 is just negative 8, and 8-8-23 is just  negative 23, which is at least a negative prime number (so to speak), but otherwise, it’s all rather dull.  In any straight arithmetic process, 8-8 is always going to be zero.

**Here’s a bit of an amusing note: the 515 train is now expected to arrive 5 minutes later than the 540 train, which appears to be moving steadily and on time.  Did that train pass the other?  Did they switch official route numbers?  Why is the other one having trouble?***

***As we now know, it had mechanical problems.  Perhaps they need more, better, and newer cars and engines.  They could increase local gasoline taxes to fund them, thus providing disincentives for driving and encouraging more use of public transportation at the same time, all of which would be at least a bit good for the climate.  But people would whine about that, wouldn’t they, and no one likes to hear babies crying, so we give them pacifiers.

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“People have this power–the numbers don’t decide”

It’s Saturday again, as I warned everyone would happen if we didn’t do something to stop it.  Unfortunately, no one appears to have listened, so, well…here we are again.

Of course, as I also warned you all, I am working today, and so, here I am writing another blog post, just like all the others.

Except it’s not quite exactly the same as all the others.  And, given the 1000 or so words per blog post, and the number of possible words there are available, even avoiding random jumbles of characters, the number of possible blog posts that I could write is probably far greater than the number of potential days I have left in any plausible human lifetime…or any plausible universal lifetime short of infinity, probably.

Let’s do some quick and dirty math.

I’m going to estimate very roughly, because I only have vague (but educated) intuitions, but let’s assume I start any given blog post with a choice from a list of maybe twenty words.  That seems like a decent ballpark figure.  After that, there are only a limited number of potential next words that would make any sense and that I might be inclined to use.  I’m going to cull that down to 10 options per each next word, and I’m going to ignore individual word probabilities and predominances relative to other words.  I’m also going to ignore the fact that I often write more than 1000 words per post.  We’re just being quick and dirty here.

So, with 20 first words, then ten to choose from for each next word, if we assumed more or less random sorting among those, we’d have a potential number of blog posts of roughly 20 x 10 to the 999th power, or 2 x 101000 possible blog posts.  That’s a staggering number of possible posts, each just a thousand words long.

How staggering is it?  Well, the famous number “googol”, is 10100 (ten to the hundredth power, or 10 times 10 times 10…repeated a hundred times).  It can be written as a 1 followed by 100 zeroes.  That number itself is roughly 10 to the 19th times as large as the number of baryons in the entire visible universe.  In other words, that’s ten billion billion times as many.  That’s more than a billion times the number of people alive on Earth now times the number of baryons in the universe.

But that’s just a googol.  A googol is so small compared to 2 x 101000 that if you subtracted a googol from 2 x 101000 the change would be so unnoticeably small that to notice it, one would require a precision far beyond the most precise measurement humans have ever made.  We’re talking about one part in about 10 to the 900th power.  That’s rounding off!

The best we’ve done as far as comparing experiment and theory goes is the magnetic moment of an electron‒or maybe it’s the fine structure constant, I’ll have to check on that (no, it’s the electron one).  That has been measured to agree with theory out to about the 12th decimal place, if I remember correctly.  As Feynman has said, that’s like measuring the distance between NYC and LA to the precision of the width of a human hair (which is far more precise than would in any case be useful or even applicable for such a distance measurement).

Anyway, the point I’m making is that the number of possible blog posts that can be a thousand words long with a few‒admittedly somewhat overgenerous‒constraints is staggering.  If I could write a blog post every Planck time for the rest of the life of the sun* I wouldn’t even make a dent, not a noticeable scratch or scuff in that number.  And you can’t really do more than one quantum event in any given Planck time, if I understand correctly, anyway.

So, I’m not going to run out of possible blog posts any time soon.  Even though I’ve probably overestimated the number of words I’m likely to use following any given previous word‒and I haven’t weighted the odds as would some GPT-like language model that creates text without thinking, based on huge numbers of things other people have written‒it’s still such a huge number that it’s too large really even to contemplate seriously.

And yet, time after weary time, I write blog posts about very similar things, such as my pain and my depression and the fact that I could really use some help from someone.  It’s very boring, I guess.  I apologize.  If you’re looking to diverge very much, I guess my blog might not be the ideal place for you.  But, of course, the huge majority of all possible blogs that would fit my above-listed criteria would be gibberish**, so we don’t want to get too caught up in those numbers.

It’s a bit like thinking about the human genome.  There are, I think, on the order of a billion base pairs in the human genome, and each “slot” has 4 potential nucleotide “letters” (adenine, guanine, cytosine, and thymine) so the number of possible genomes is about 4 to the billionth power, or 2 to the 2 billionth power…and every 210 is roughly 103 (210 being 1024),and 21000 is about 10300 so 2 to the billionth is about…1027,000,000, if my calculations are correct.  I’m not sure they are, but you get the idea.  It’s a big f*cking number!

Most of these orders of base pairs would not designate a human, nor even anything that could live at all.  So let’s whittle things down in truly draconian fashion and say only 10 to the 90th are potentially viable***.  That’s still far more potential humans than the number of baryons in the visible universe.

I think you can see that we’re never actually going to instantiate that number of humans, since each human is made of a substantial number of baryons…it’s something like 1027, but that’s just a ballpark figure****.  So, unless we find a way to generate a lot of new baryons, and fit them into the visible universe without causing the whole thing to collapse upon itself due to gravitational effects, the whole of actual humanity will always be a sea of unimaginably untapped potential.

I think we all kind of knew that, anyway, didn’t we?

Likewise, the number of actual blog posts I‒or anyone else‒will ever write before the heat death of the universe (assuming that’s the way things end) is embarrassingly negligible.  But we work with what we have.

And speaking of that, I guess I’d better mentally prepare myself for work, since I am already on the train.  I hope you all have a good weekend.  Whatever you do, it will probably be more interesting than anything I’m going to do.  Believe it or not, I find some consolation in that fact.

*It’s about 1060 Planck times:  1043 Planck times per second times 60 seconds per minute times 60 minutes per hour times 24 hours per day times 365.25 days per year times about 5 billion years.

**I mean even more so than my actual blog posts are.

***Don’t make the mistake of thinking that’s a reduction by 26,999,910/27,000,000. It’s way more of a reduction than that.  Don’t be fooled by the comparatively small numbers in exponents.  We’re taking a number that was 27 million digits long and making it only ninety digits long.  If you subtracted the second number from the first, it would be such a small change you’d have to look out well past the 26 millionth digit even to see a difference.

****Again, don’t be confused by the relative closeness of the exponents and worry that we’ll run out of baryons soon.  10 to the 27th is vanishingly small compared to 10 to the 81st.  In fact, curiously, 1027 x 1027 x 1027 = 1081.  Every single gram of hydrogen contains 6 x 1022 atoms, and obviously the number of grams of hydrogen in the universe is waaaaaaaaaaaaaay bigger than that!

by

Nor can I fortune to brief minutes tell, blogging to each his thunder, rain and wind

Hello and good morning.

I decided yesterday afternoon that I would try to write something a bit different for today’s post, rather than just another litany of my depression and despair, since I’m sure any dedicated readers are probably getting almost as tired of reading them as I am of experiencing them.  I cannot directly alter the fact that I experience them—if I could, I would—but I don’t have to make it an uninterrupted trail of goo for you all to slog through on a daily basis.

I came up with two, more or less unrelated, ideas, but I’m only going to focus on the first, which is nearer and dearer to my heart and mind, in any case.  It’s also been something I’ve thought about on and off for some time.  I do wonder what pertinent quote from Shakespeare I’ll find to alter to make the title, but of course, you who are reading will already know the answer.

Don’t spoil it for me, okay?  I want to be surprised.

Anyway, the idea I wanted to bounce around today has to do with the question of the discontinuity of reality at a mathematical level.

I’m sure many of you are aware that, from the perspective of quantum mechanics, there is no sensible differentiation in, for instance, location at any scale smaller than the Planck length, which is about 1.6 x 10-35 meters, or in time below the Planck time, which is roughly 10-43 seconds.

There are various reasons for this, and I won’t try to get into them, but this is generally agreed upon by all the scientists who work in the field.  It’s part of why there is an upper limit to the number of possible quantum states within any given region of spacetime, defined, thanks to Bekenstein and Hawking, as the surface area of an event horizon surrounding that region as measured in units of square Planck length.

Thus, based on the best current understanding of the micro-world, the universe is not so much pixelated as blurry at the smallest scales.  Admittedly, these are very small scales—far smaller than we can probe currently, so we may, in principle, be wrong about some of it, and quantum gravity might change our understanding, but there are strong reasons for this assessment.

Now, mathematics—thanks to work threshed out by Newton and Leibniz, building on ground first broken (though no one quite realized it at the time) by Archimedes about two millennia earlier*—can deal with things that are truly continuously divisible.

Those of you who took high school level calculus (or higher) probably recall that a derivative involves finding the instantaneous slope, or rate of change, of a curve describing some function, such as the instantaneous acceleration being the rate of change of the “speed”.  The idea of it had to do with taking the slope of a line connecting any two nearby points on the curve and bringing them closer and closer together, taking the limit as that distance goes toward zero.

Analogously, integrating a function involves finding the area under a curve, and is in a way the opposite of a derivative.  This involves splitting the area under the curve into rectangles of fixed width at any given point along the curve (the height defined by the value of the curve at that point) and adding them together, then taking the width between the points to be smaller and smaller, until one approaches the limit of an infinite sum of “infinitesimally” narrow rectangles.

These processes are tremendously useful, and can describe the orbits of astronomical objects and the trajectories of ballistic materials, just to take two simple examples.  They are good for describing the universe in many ways, and they often produce useful and accurate answers and predictions to the best of anyone’s ability to measure.

But that raises my question.  Do we currently have the capacity to tell the difference between processes in the universe—say, for instance, acceleration due to gravity—being truly continuous or them being in a sense discontinuous?

We know that the Real Numbers are uncountably infinite, as a matter of pure mathematics.  Between any two nonidentical real numbers, however arbitrarily close together, exists an uncountably infinite number of more real numbers, as large—so to speak—as the number of real numbers themselves, a Russian doll in which every new doll revealed by opening the previous one has just as many dolls inside it as there were inside the original Russian doll…but even more unlimited than that.

This is, however, not necessarily relevant to reality**.  Just to demonstrate that fact:  we can calculate Pi (π), the ratio of the circumference of a circle to its diameter, to any number of decimal points we might choose, but it will never come to an end—it’s an infinite, non-repeating decimal number, one of the “transcendental” numbers.  Pi has been calculated to 62.8 trillion digits (as of 2021) but that’s not a number we could ever measure as the ratio of the circumference of any actual circle to its diameter.

I’ve read (from a reliable source) that only 39 digits of Pi are necessary to calculate the circumference of the visible universe*** to the fineness of a single hydrogen atom.  Now, a hydrogen atom is about 1033 Planck lengths across, according to a quick search, so that means, in principle, we’d only need Pi to 72 digits or so to calculate the diameter of the universe to the nearest Planck length.  That’s a fairly large number of digits, but it’s smaller than the order of magnitude of, for instance, the estimated number of baryons in the visible universe, and is smaller than the entropy “contained” in even a solar mass black hole****, unless I’m seriously misremembering.

So, finally, my question is, how well have mathematicians ascertained that aspects of reality can in truth be described by equations that are actually continuously variable, or whether we could ever tell the difference?

A computer, for instance, could simulate some model of a continuously varying system to a high degree of precision by taking each current state and then applying an approximation of the applicable equations to the next state, iterating each step in sequence, as if recapitulating the steps that led to the limit defining the derivative or the integral of a function.  This would be considered an approximation of the true function, of course, but one could, in principle, get arbitrarily close to the true function by taking one’s intervals to be arbitrarily small—solving, for instance, or at least simulating, the three (or more) body gravitational problem, by calculating, at each instant, the net effect of each object on all the others, calculating the acceleration, applying it, moving each thing a tiny step, then recalculating.

But what if it’s not the step-wise approach that’s the approximation?  What if the continuously differentiable functions we use to describe things like gravity and electromagnetism and the various quantum mechanical matters are the approximations?  What if reality is more Δx/Δt than dx/dt?

Obviously this is a simple enough concept to come up with, and I’m far from the first one to think of it.

My more immediate question is, has anyone demonstrated mathematically just how fine our measurements would have to be to tell whether, for instance, the orbit of a planet around a star follow a truly continuously differentiable path, or if it is just a step-wise, iterated process?  If one were able, for instance, to simulate the orbit of a planet, say, by iterating an approximation each Planck time, and reconfiguring the system at each step to the nearest Planck length, how long, in principle, would it take to be able to tell the difference between that simulation and a truly continuously differentiable motion?  Could there, given the constraints upon the nature of reality applied by our best understanding of quantum mechanics and the like, ever be any measurable difference?

I don’t know if this has been addressed by mathematicians.  It may not have any practical implications, since we’re a long way from being able to measure reality precisely enough—or so I suspect—to tell that difference.  But I wonder if it’s been worked out just how finely we would need to be able to measure to tell if reality is truly continuously differentiable.

If anyone reading is a mathematician familiar enough with this sort of question to give me an answer, I would love to hear it.  Or if you know a mathematician with appropriate expertise, or a physicist of similar expertise, I would dearly like to know if anyone has done any explorations from the mathematical (not simply the practical) point of view regarding this.

That’s it, that’s my subject for the day.  I feel that I’ve been very ham handed and brutally quick in the way I’ve gotten into the subject, and for that, I apologize.  I only have the time to write this between my shower and when I leave to go to the train station, so it’s a bit quick and dirty, as they say.

Obviously, I don’t have time or space today to address my other, unrelated question, which is about whether the legality and ubiquity of large-jackpot lotteries of various kinds has changed the general psychology of, for instance, the American people in a way that has decreased “average” ambition and work ethic, providing “bread and circuses” to the masses in a way that has at least contributed to the greater economic disparity between socio-economic levels in the nation (and the world) and the gradual dissolution of the middle class?

I wouldn’t dream of thinking it the only or even the dispositive factor, but I wonder if it might have contributed.

Maybe I’ll write about that tomorrow.  Weirdly enough, we may have a harder time coming up with definitive answers for that question than the one I tried to discuss today.  Mathematics and physics are easy, in a sense.  Biology, psychology, sociology, economics…these things are truly hard to model and describe in useful, predictive ways, because the systems are so complex, with so many variables, both dependent and independent.  Even weather, the quintessentially chaotic system, may be more tractable.

I hope this has been more interesting than my usual reflections and projections of gloom.  I also hope you all have a very good day, and maybe that you think a bit about what I’ve written.

TTFN

Domenico-Fetti_Archimedes fractal tiles

*What a Mary-Sue that guy was!  I mean, forget the whole acrimonious debate on priority between Newton and Leibniz regarding calculus, these guys were about two thousand years behind the Eureka Man!

**Though it could be, even if distance and time and not limitlessly divisible.  For instance, if the Everettian “Many Worlds” description of quantum mechanics is correct, the overall “space” of “universes” created at points of decoherence/branching could be infinitely and continuously divisible, making it a no-brainer as to how many potentially different worlds there might be in that space—not “real” space, but the orthogonal space that contains all the branches of the many worlds.  However, that might not be infinitely divisible, either.

***That’s everything that can, even in principle, be seen given the finite time light has had to reach us since the Big Bang.

****The Entropy is about 1077, but Entropy is proportional to the natural log (basically, taking a log is the opposite of raising something to a power) of the number of possible microstates in a system, so that number of states is e to the 1077 power, or e multiplied by itself 100000000000000000000000000000000000000000000000000000000000000000000000000000 times.