science

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O heavy lightness, serious vanity, misshapen chaos of well-seeming blogs

Hello and good morning.  It’s Thursday, of course‒thus the “traditional” opening salutation‒and here I am again, writing another in a line of hundreds of Thursday blog posts.

Have I said all that I could say, already?  Probably not.  The number of possible 800+ word strings of English writing is surely unfathomably vast.  If I were going to try to give some kind of upper boundary, we would consider that there are a few million words in the English language, and I could just try to solve for a few million to the 800th power.  That’s a huge number (104800). But most of those combinations‒all of them, effectively‒would be nonsense.

By “all of them” I mean that, if one applies the constraints of grammar, or even just of making tolerable sense to a potential reader, the number of strings of 800 coherent words is so much smaller than the number of possible strings of 800 words without care for sensibility that, if one were looking at some shape or field that represented the latter, the former would probably be too small to see, given the constraints on the resolving power of visible light.

It’s a bit like the possibilities implicit in DNA.  The human genome is on the order of a billion or so base pairs* long, if memory serves, and each “site” on the genome has 4 possible “letters”.  So, the potential number of sequences of DNA in that genome is on the order of 4 to the billionth power, which would be 2 to the 2 billionth power, which is about 10 to the 600 millionth power (10600,000,000).

That’s a huge number. Remember, a googol is merely 10100, and it is already a number that far exceeds the number of baryons in the (visible) universe (which is on the order of 1080).  And remember how exponentials work:  every time you add 1 to the exponent you multiply by the base number, in this case 10.  So, 10101 is ten times larger than 10100.

As you can see, the number of possible DNA sequences is beyond astronomical, at least unless we get into, say, the measures of entropy represented by an event horizon, as an indicator of the number of possible quantum states it could have “within”.  But distances and times and numbers of particles in the accessible universe are unnoticeably small compared to the number of possible sequences of DNA**.

However, the vast majority of those base-pair combinations would certainly not code for anything that we would consider human, or indeed any other living creature that’s ever existed on Earth.  Most are the analogue of throwing random words together to make a blog post.  They wouldn’t come close to coding for anything that would be a living creature.

Nevertheless, even ruling out all the nonsense, the number of possible viable human genomes is vast.  It may still be larger than the number of particles in the visible universe, but don’t quote me on that‒I haven’t checked those numbers.  In any case, it’s much larger than the number of humans who have ever lived, and probably larger than the number of humans who will ever live even if the species goes on to become cosmically significant.

What this all comes down to, I guess, is that I haven’t come close to writing all the possible blog posts I could write, even ruling out ones that wouldn’t make any sense and even ruling out ones that differ from others only by a word or two.  I guess this blog itself constitutes a case in point.

But boy, it can be a lot of work trying to write something new every day, and even more work trying to write something interesting.  That’s why I don’t bother with the latter criterion; I just write whatever comes out, which is usually something at least mildly interesting to me, and I figure it’ll reach kindred spirits if they happen upon it‒and if such people even exist.

Speaking of kindred spirits, I hope you all have a lovely day.  At least I hope it will be as good as it can possibly be‒which it will, since once it’s happened, it can’t have been otherwise than it was.

TTFN

*In case you don’t recall, DNA is a long chain molecule of polymerized “nitrogenous bases”, adenine, guanine, thymine, and cytosine.  Because each DNA base can pair up only with its complementary base (A with T, G with C) this allows for high fidelity copying, and thus reproduction.

**Now, if the universe is spatially infinite‒which it looks like it is, but may not be‒then of course the number of particles or quantum states or even planets with life would be infinite, and thus larger than any possible finite number, no matter how big you might choose.  Fun things happen when one deals with infinities.

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Therefore the Moon, the governess of blogs, pale in her anger washes all the air

Hello and good morning.  It’s Thursday, the first of May*, the beginning of yet another stupid month.  They just keep coming, on and on and on, so irritatingly relentless that I find myself wishing for the elimination of the Moon and the destabilization of the Earth’s rotation and orbit just to break the tedium.

I know that would inconvenience a great many other people, though, so I’m not going to try to make it happen.  To be fair, it would be much “easier” to alter the Earth’s rotation than to shift the Moon.  A decent-sized asteroid collision at the right angle could alter both the rate of Earth’s rotation and its angle to the ecliptic.

Of course, such an impact would have devastating consequences for almost everything and everyone on the planet’s surface.  So that’s a win-win scenario!

I’m kidding.  But I often fantasize about wiping out all life as we know it, because none of it is truly benign and it’s all futile and will always be marked broadly by fear and pain and other suffering, because all those things are evolutionarily vital (in the literal sense).  I shouldn’t choose that for other people, though, so I probably would never do such a thing even if I could.

Thinking back to earlier, though, I’ve been pondering the question of just how one would move the Moon in its orbit, and I thought about the reflectors up there in the old Apollo landing sites, still used (last I checked, anyway) to measure the distance to the moon with great precision.

There have long been discussions about how to alter the course of an asteroid that looked to be prone to intercept the Earth.  One way might be to vaporize a portion of the asteroid, causing its “outgassing” to act almost as a rocket propellant, and by Newton’s third law (or, equally valid, by the law of conservation of momentum) the asteroid would shift its trajectory in the direction away from the artificial outgassing.

Well, what if one were to train powerful lasers at one site on the surface of the Moon**?   The fact that the moon is tidally locked with Earth means it’s constantly showing the same face to us, so one could keep focusing on the same portion of the surface.  One could study the albedo and absorption characteristics of the surface of the Moon to try to pick the best wavelength for causing “outgassing” of that surface, and that outgassing would propel the moon away.

It would be a slow process, since the Moon is big, and shifting its orbit significantly would require the delivery of quite a bit of energy, but that’s okay.  One could set up a single laser (or pair of them on opposite sides of the Earth, or more if one desired faster effects) perhaps solar powered and using ordinary telescope-style tracking equipment and software, to train the lasers always on the same point on the surface of the moon.

Gradually, the Moon would shift away from Earth (you’d need to keep adjusting your aim a bit), more quickly than it currently is, and eventually:  lunar liberation!

Of course, even given the abysmal state of science on Earth (and particularly in the US right now), people would eventually notice the Moon moving, and they might even notice the “outgassing”.  But a lot could be done before then.

If one wanted to have a much quicker effect, or rather, a more instantaneous effect, one could develop a large depot of antimatter, which we know how to make in particle accelerators.  Storing antimatter is challenging, of course; it must be kept within electromagnetic fields in high vacuum, since it will annihilate if it encounters its matter counterpart.

Still, with enough time and patience and care (and money), one could gradually accumulate a large stockpile of antiprotons and positrons, perhaps stored adjacent to each other so their mutual electrical attraction makes containment slightly easier.  Then, when one had gathered enough, one could launch it toward the moon in a fairly standard rocket‒it wouldn’t need to be manned, and it certainly wouldn’t need to return to Earth.

Release your tons (I would guess) of antimatter onto the surface of the Moon, perhaps at the center of “mass” of its face that points toward Earth, and watch the fireworks!  There would be complete annihilation of matter-antimatter in a release of energy far more extreme than any mere nuclear weapons could produce.  Heck, if you wanted to bypass the whole Moon process, you could just accumulate your antimatter here on Earth over time, maybe near some damage-multiplier like the ice caps or near a super volcano or something, and release the containment when you’re ready.

In a typical nuclear explosion, less than one percent of the mass involved in the reaction is “converted to energy”***.  In an anti-matter reaction, ALL of it would be converted.  Imagine releasing hundreds of times more energy per kilogram than the most powerful nuclear weapons.

Of course, antimatter is absurdly expensive to make, but economies of scale might help that.  It’s not as though one would be expecting a profit‒unless one went the Bond villain route and used one’s anti-matter bomb to hold the Earth for ransom, which is a thought.

That’s enough of that madness for now.

Speaking of madness, today begins “Mental Health Awareness Month”.  I would say that I’m already aware of mental health in a general sense, I just don’t have much personal familiarity with it.  Mental illness, mental dysfunction, mental dysregulation, these are things with which I am more personally acquainted.  I’m only too aware of them.  Physical health falls into a similar position.

All right, well, before I discuss more ideas about how to alter or eliminate all life as we know it‒I’ve many such ideas, I’m afraid‒I should draw to a close for the day.  In case you can’t tell, I’m not right in the head, am I?  So this is a sort of appropriate month for me, especially coming as it does right after Autism Awareness Month.  Batman only knows what will happen next.

TTFN

*Also known as May Day.  I wonder how that came to be used as a distress call, as in, “Mayday, mayday, we are going down!”

**Alternatively, one could, in principle, use a very large array of adjustable mirrors on Earth, and they could be shifted to reflect sunlight and focus the reflections on one spot on the moon, but to get a strong effect would require a worldwide collaboration or at least acceptance of these mirrors.  It’s hard to see that happening.

***I used “scare” quotes because technically it’s all energy to begin with, it’s just changing form.

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Maybe it’s signal. Maybe it’s noise. Maybe it’s Maybelline?

Well, it’s Tuesday, and I don’t know that I have anything of use or substance to say, or anything to say that isn’t mostly just noise.  Perhaps I’m just some peculiar source of radio static in the background of the universe.  Or perhaps…perhaps I’m just pretending that what I do is unplanned, when in fact everything is calculated and subversive.

Ha!  I wish.  My brain doesn’t work like that, and I’m not sure anyone else’s does, either.  Even John Von Neumann had to develop complex mathematics and sophisticated models to deal with the limited degree of uncertainty in highly simplified versions of one-on-one poker.  If he was so intrigued by what he‒possessing perhaps the highest general intelligence of which history is firmly aware‒could not fully model, then this is strong evidence that no one, now or ever, has really been in control of anything.

Of course, game theory has advanced since Von Neumann co-invented it, and it is certainly useful, but it is clear that, at best, it deals in probabilities and tendencies.  There is no Asimovian 2nd Foundation Hari Seldon psychohistory that can figure out the specific events of whole galactic civilizations well into the future, and I doubt there ever will be.

Of course, if we want to be trivial, we can predict the far future with some degree of confidence:  Eventually, unless our knowledge of the universe is deeply mistaken*, as entropy increases inexorably, new stars will stop forming, old stars will burn out (even red dwarfs), black holes will evaporate, and the universe will be a thin haze of elementary particles.  Indeed, if everything eventually reduces to massless bosons (e.g., photons) then in a very real sense, time will literally have no meaning, since photons, being massless particles, do not “experience” time.  From their point of view‒to speak very figuratively‒their entire existence is instantaneous.

Of course, going on to the very far future, given the nature of probability, new universes may arise.  Something like Penrose’s conformal cyclic cosmology may be the way things happen, or there may merely be a Poincaré recurrence of the universe.  Or maybe, as I’ve speculated previously, time is not one way, and our future might also be the future of another, far distant “big bang” but for which time/entropy increases in the opposite direction.

Also, of course, if civilization and intelligence persists and grows, which is not a small “if”, then who knows where technology will develop?  Our descendants could conceivably develop the capacity to do cosmic engineering, literally shaping the large-scale development of the universe, or even making new ones.

But I suspect they still will not be able to micromanage perfectly the interactions of innumerable agents in complex systems.  Some limits are fundamental, and I think this may be one.  This comes down to something related to my “Elessar’s First Conjecture/Theorem”, that no complex, intelligence can ever fully understand itself in detail, because to model a given complex system requires a system of greater complexity, which itself will need to be described, leading to an infinite regress.

And, of course, we know that in complex systems, in which interactions are stochastic and multivariate and nonlinear (and thus exhibit chaotic development) the specifics of future happenings will be unpredictable since to know them perfectly, we would need an infinite number of significant digits**, though in some cases‒like entropy‒we can make general predictions with high confidence.  

This is part of why “planned economies” fail, and almost certainly always will, unless they are stupendously lucky.  In any case, such luck will not last, just as neither strength nor good purpose will last in the presence of the One Ring.  This is also why most complex conspiracy theories are simply laughable.

People derive their models of the world to too great a degree from our ubiquitous visual entertainment, which has been around long enough to be deeply self-mimicking and self-derivative.  Gunshots and explosions don’t behave in real life the way they do in action movies, but action movies (and shows and videos) take their models of the world from previous action movies, much as an AI’s model of human speech and interaction, if derived from the internet, is going to be increasingly contaminated by the products of other AIs, and may end up veering far away from anything reminiscent of human interactions, at least if left to its own devices.

Maybe that’s an advantage of written fiction over movies and TV and other videos; it’s not presenting a simulation of some version of reality, it’s telling you a story, describing things, but you have to imagine them.  Meanwhile, if all your fiction is in words, your physical intuition of the real world‒and your psychological and sociological and economic intuition‒would be derived from real events, not the Machiavellian machinations of Manichean movie-based manipulators.

That was an interesting stream of consciousness, if I do say so myself (and I do).  Who could have predicted it?  Not I.  And I’m the one who wrote it.  Which goes to my point.

Please try to have a good day.

*This is always possible in principle, but for many aspects of cosmology, our credences can be justifiably high.

**I sometimes say that while knowledge can vary greatly, ignorance is always infinite.  This can be proven with a single, simple example:  the digits of pi.  There are an infinite number of them, and no matter how many we calculate, there will be an infinite number we don’t know.  Ditto for e and any other transcendental numbers, let alone all the other real numbers that have no specific designation, of which there exist an uncountable infinity.  And this is just one place where infinite information dwells, of which we will always have only finite knowledge.

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We skipped the light fandango…

Well, here I am, writing a blog post again on Tuesday, Batman* only knows why.  I don’t really have anything of substance to say.  Not that I had anything of substance to say yesterday.

Actually, come to think of it, I did encounter a neat fact last week.

One morning I decided to get in a bit of reading in one of the textbooks I keep in my office‒Classical Electrodynamics by John David Jackson.  I employed a technique I’ve often used for reviewing:  I flipped a coin to increasingly winnow down the textbook‒heads is first half, tails is second half, etc.‒and pick a random section to start reading.

I knew that much of the mathematical formalism and at least some of the technical matters in the book would be unfamiliar, so I didn’t expect to understand fully what I was reading.  But I also know that the stuff I do and don’t understand will linger in my brain, and as I’m exposed to other things that go with it or explain it or link up with it, the picture will form.  I don’t read or learn especially quickly, but I do learn deeply, and in a way that connects ideas and principles together in the end.

There was much of this brief section (which was about refraction and/or absorption of light** by water) that was slightly over my head.  Nevertheless, it was interesting, and the author introduced a graph (see below) showing at the top the refraction of light by water across wavelengths, and how it tends to vary.  I assume we’re all at least implicitly aware of the fact that different wavelengths are refracted by water differently‒thus the phenomenon of rainbows.

Below this is a table showing the absorption of electromagnetic radiation by water across frequencies.  Here there is a steep upward slope when coming in toward the center from highest and lowest frequencies.  It peaks at around the microwave/infrared wavelengths from the left and around the ultraviolet from the right.

Then a striking thing happens.  There is a sudden, precipitous drop in absorption down to very low levels in a fairly narrow range of frequencies in the “middle” of the graph, meaning that in this range, light passes through water with relatively little absorption.  This is the range we know as visible light.

The author took the time to point out that this fact about the nature of water‒that it is more or less transparent in this very narrow range of frequencies‒is exactly why we Earthlings tend to see only in that range.  It’s not an accident of evolution, some ancient, stochastic occurrence that is thenceforward cemented, unchangeable, into all descendants, like the DNA code and ribosomes and the chirality of biological molecules.  It is instead a fundamental fact of physics that determines where creatures will be able to see if they first developed vision while living in water and then developed eyes that, like the rest of them, were mainly made of water.

There’s no point in making retinal proteins that react to wavelengths of EM radiation that are almost entirely absorbed by water.

That simple fact‒simple in summary, at least‒is enough to explain a huge swath of the nature of our visual perception, and it doesn’t require any further explaining to understand why we see in the range of light we do.

That was just a randomly chosen section of a textbook that reputedly is extremely difficult.  I don’t disagree with that assessment of difficulty; it was a very dense bunch of material even in just 4 or 5 pages.  But to think that one can find such remarkable facts while just trying to read and learn in random order from a textbook!

So, that’s an interesting little tidbit that seems worth sharing, at least to me.  It’s far more interesting than anything going on in the human world right now.  What’s more, this is a fact that has existed as long as water itself has existed‒and implicitly, it existed even before that, lying there waiting in the fundamental laws of nature.  And it will be there long after everything but those fundamental laws is gone.

If you want to embrace eternity, and things like Hilbert’s Hotel and Cantor’s diagonal proof make you worry about your sanity (this happens to many of us, so don’t feel bad) then focus on this fact about visible light.  It’s there, it’s real, it’s quasi-eternal, and it’s concrete.

Though the absorption spectrum for concrete is…quite different.

*This harkens back to the reference from Batman Begins, when Flass says “I swear to God,” and Batman snarls “Swear to me!”  It seems fun to use Batman when one would normally say God.

**By “light” I mean all electromagnetic radiation, from radio waves to gamma rays.

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In the voids between galaxies, it’s already next year, but there’s still no life there.

It’s Tuesday, now‒the first Tuesday of the new year.  This is not anything particularly interesting, of course.  It’s really just another day.  But it is also the last day of the first week of the new year, the 7th day of the year, as indicated by the fact that it is January 7th.

“Brilliant, Holmes!” I hear you say.

In this case, though, it truly is elementary.  It’s also pretty boring, so I’m sorry to go on about it.

There have been troubling things in national news, of course:  the terroristic suicide attack-by-vehicle in New Orleans; the guy who blew up his cyber truck; severe cold weather striking large swaths of the eastern US; and, of course, no one has yet yelled “Psych!!” regarding Donald Trump’s election for a second term as president.

I’m not as rabidly anti-Trump as many; he’s just a man, of soft and squishy flesh and blood, like everyone else.  He’s also just one more incompetent government official on a world stage that might as well be a collection of (poor quality) Three Stooges clones.

It would be remarkable and praiseworthy if humans actually elected smart, calm, intellectually honest government officials with personal integrity.  Alas, when holding elections, humans seem unable to be as rigorous in their evaluation of candidates as they would be when screening babysitters or even gardeners.  And, of course, since few people are in the habit of reflecting on themselves in any way to improve on their own flaws in judgment, it seems unlikely that things will change very quickly.

This is all nothing new, of course.  The modern shape of cyberspace and the borderline-antisocial media add little twists and peculiarities, introducing new dynamics to the system.  But the dominating principles of primate social and sexual dominance hierarchies and displays have not changed much, if at all.

The only really interesting thing I’ve found in the news is the statement about a new study‒an elaboration of a first theoretical paper from some years ago‒that proposes a potential alternative explanation for the fact that the expansion of the universe appears to be accelerating that doesn’t require “dark energy”.

The cosmological principle, which underlies the usefulness of standard model, lambda-CDM cosmology, states that, on the largest of scales, the universe is uniform and homogeneous.  However, on anything other than the largest scales, the universe is decidedly clumpy.  This is because of gravity, of course, pulling things together in regions where things are more dense (making them still denser) and making the spaces in between ever more rarefied and so on.

But, of course, gravity is not just a simple attractive force; it works its effects through the warping of spacetime, and in ordinary circumstances (so to speak) its effect on time is far more significant than those on space.  This is a very real effect, one for which we have to adjust when using GPS satellites for instance, so while general understanding of it may be relatively rare, it is not an esoteric bit of physics.  It’s textbook stuff.

The point being made by this new hypothesis is that perhaps there is no real dark energy, but instead, in regions where more mass exists, time slows down.  This is a bit of an oversimplification, but it’s quite true, and indeed, to a large extent, all the apparent physical effects of gravity are produced by the differential flow of time between places where the manifold is more vs. less curved.

So, in the places where matter/energy is relatively scarce, time moves “more quickly”.  So, since the universe is definitely expanding (due to the Big Bang), those regions are going forward through their expansion more quickly than regions with more matter, and so the space between galaxies and clusters appears to expand more quickly, and as the comparative difference, the contrast, in energy concentration increases, the difference in passage of time will tend to increase, too, producing an apparent accelerated expansion.

[Note to self:  how would this model be expected to affect the extreme measured uniformity of the Cosmic Microwave Background?  Is this going to be a point of evidence against it?]

This is not a definitive, tested hypothesis, but it rests on sound principles.  It probably won’t supersede lambda-CDM, but it has the potential to do so.  This is no crank, RFK Jr. style hypothesis by any means.  I haven’t read the papers involved yet; rather I read articles and watched some videos about it; I will try to learn more.

But, since the discovery of the accelerating expansion of the universe in the late ‘90s was the single most exciting (non-personal) event in my life, the idea that there is a new approach that might change that again is also truly exciting.

It makes me wish I had just gone into physics as I had originally intended.  However, post-open heart surgery, transient cognitive impairment, and an exacerbation of depression triggered by the same thing, made it too difficult, in the short term, to keep up with my physics and math classes in the semester after my heart surgery, so to English I went.

But as I picture the large-scale universe differentially flowing through time and thus expanding at relatively different seeming rates, producing this wonderful, higher-dimensional twisty-bulgy-filamentous shape, I can at least feel a little twinge of the joy of contemplating science.  My only real contribution to science was in studying the effects of gliotoxin on naked DNA in vitro, and though that’s quite interesting, it’s not exactly cosmology.

Oh, I also wrote a pretty decent review article about the various effects on cognition and other neurological functions of heart-lung bypass as done during open-heart surgery.  Clearly, that was motivated by personal experience.

Anyway, that’s it for today.  Tomorrow begins the second week of the year, but I don’t expect to write again before Thursday.

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If I could write the beauty of your blogs, and in fresh numbers number all your graces…

Hello.  Good morning.

Aaahhh, doesn’t that feel better?  Now I can use my standard Thursday blog post opening phrases, because today is, in fact, Thursday.  It’s the 21st of November, the third Thursday of the month, so in the USA you only have seven shopping days until Thanksgiving.

Speaking of Thanksgiving, since next Thursday is that holiday, I probably will not be writing a blog post then.  It is one holiday on which our office is always closed.  We will be open on so-called Black Friday, but I can’t guarantee that I’ll write a post on that day.

Of course, in principle, I cannot guarantee that I’ll write anything at all ever again after this post.  I may not even survive to post this entry*‒I am in the back seat of a Lyft, on the highway (I-95) of the East Coast of the US, so goodness knows there’s a non-zero chance of a fatal accident.  I would even wish for one, but I know such a thing would involve harm and possibly death to other, more innocent, people.

Also, of course, wishes don’t actually directly affect reality‒thank goodness.  Imagine if even one percent of wishes came true as wished.  The world would be thoroughgoing chaos…and not in a good way.  I tend to say of wishes that “If wishes were horses, then we’d all be hip deep in horse shit,” but it would be even more terrifying if wishes worked.

The “if‒then” character of the wishes saying (my version or the more SFW one that involves beggars riding) often makes me think of lines of computer code in some generic programming language, like:

If wishes==horses then execute beggars.ride

Or maybe 

If wishes==horses then horseshit_level = “hip deep”

I wonder what that would look like in machine language.  Or, I wonder what it would look like in straight binary.  Really, though, I know part of the answer to the latter piece of wondering:  it would look, to the naked eye, like a random string of ones and zeros, perhaps the tally of some very long record of flipping a coin and marking heads as 1 and tails as 0 (or vice versa).

Actually, of course, given a binary-based computer language, one can literally generate every possible computer program just by flipping an ever-increasing number of coins.  Or, to be honest, one can do it just by counting in binary:  0, 1, 10, 11, 100, 101, 110, 111, 1000…

This is why, if memory serves, computer science people and information theory people say that every program can literally be assigned (and described by) a number.  You could express that number in base ten if you wanted, to make it a bit more compact and familiar to the typical human.  Or, if you want to be more efficient and make conversion easier, you can use hexadecimal.  This is easier because a base-sixteen number system is more directly and easily converted to and from binary, since 16 is a power of 2 (2 to the 4th).

Even the human genome, or any genome in fact, could be fairly readily expressed in binary.  The DNA code is a 4 character language, so it wouldn’t take too much work to make it binary, however you wanted to code it.  Then, each person’s genome would have a single, unique number.  That’s kind of interesting.

It would be a bit unwieldy as an ID number, of course.  The human genome is roughly 3 billion nucleotides long, which means it would be roughly 6 billion binary digits (AKA bits).  And since every ten bits is roughly a thousand in base 10 (2^10 is 1024, which is very close to 10^3, aka 1000) then 6 billion bits should be roughly 2 billion decimal digits long (a bit less), which is much, much larger than the famously large number, a googol**.

It’s a big number.  This should give you at least some idea of just how unique each individual life form is at a fundamental level.  There are so many possible genomes that the expected time until the final heat death of the universe is unlikely to be long enough to have a randomly created duplication within the accessible cosmos.

Of course, within an infinite space‒which is the most probable truth about our universe as far as we can tell‒one will not only have every possible version that can exist, but will have infinite copies of every possible version.  Infinity makes things weird; I love it.

Of course, just as with the making of computer programs by simply counting in binary, the vast majority of genomes would not code for any lifeform in any kind of cellular environment, using any given kind of transcription code you might want (the one on Earth, found in essentially all creatures, uses three base pairs to code for a given amino acid in a protein, but that’s not all that DNA does).  Similarly, most of the counted up programs would not run on any given computer language platform, because they would not code for any coherent and consistent set of instructions.

But even so, you would still, eventually, get every possible working program, or every possible life form in any given biological system if you could just keep counting.

On related matters, there are things like the halting problem and so on, but we won’t get into that today, interesting though it may be (and is).

It’s quite fascinating, when one is dealing with information theory (and computer science) how quickly one encounters numbers so vast that they dwarf everything within the actual universe.

Mind you, the maximum possible information‒related to the entropy‒carried within any bounded 3-D region is constrained by the surface area (in square Planck lengths) of a black hole with that size event horizon.  For our universe, roughly 96 billion light years across, I think that’s something like 10 to the 124th bits, or at least it’s that many Planck areas.  That’s quite a bit*** smaller than the number of possible genomes, though I have a sinking feeling that I’m underestimating the number.

And information, at least when instantiated, has “mass” in a sense, and the upper limit of the amount of information in a region of spacetime is delineated by the Bekenstein entropy description.  So there’s only so many binary strings you can generate before you turn everything into a black hole.

Something like all that, anyway.

I may have been imprecise in some of what I said, but when you’re dealing with very large numbers, precision is only theoretically interesting.  For instance, we**** have found Pi to far more than the number of digits needed to calculate the circumference of the visible universe down to the Planck length.  It would require only about 40 digits of Pi to get to that precision to the size of a hydrogen atom, and those are only about 10^25 Planck lengths across, so we wouldn’t expect to need much more than 65 digits of Pi to get that precise, but let’s be generous and use 100 digits.

How many digits of Pi have actually been “discovered” by mathematicians?  Over 105 trillion digits.  Talk about angels dancing in the heads of pins!  It’s literally physically impossible, according to the laws of quantum mechanics, even to test whether that number precisely defines the ratio of any given circle to its diameter by measuring it.  One cannot, in principle, measure finely enough.

Still it just goes to show that mathematics is vastly larger in scope than any instantiated, superficial reality.  Information is deeper than one might think…so to speak.  But, then, so are minds themselves, vastly deeper.

As Idris/the TARDIS asked in Doctor Who, Series 6, episode 4, “Are all people like this?  So much bigger on the inside?”  Yes, Idris, I suspect they are, even those people we don’t like and feel the urge to denigrate.

That’s enough for today, I think.  I’ve achieved nothing, really, other than write a Thursday blog post, but then again, that’s all I meant to do.  I hope you have among the better half of all the vast number of possible days available to you.

TTFN

*If you’re reading this, though, I clearly did survive.  I have mixed feelings about that.

**How much larger?  Soooo much larger that if you subtracted a googol of something from 10^1,800,000,000 of something, you would not change it to any extent measurable even by the most precise instruments humans have ever created.  And a googol is already something like 10 to the 19th times as large as the total estimated number of protons and neutrons in the accessible universe.

***No pun intended.

****Actually, I had nothing to do with it; it’s just the sort of “royal we”***** kind of thing everyone uses when discussing the accomplishments of humanity as a whole.

*****Not to be confused with royal wee.  That’s the sort of weird, niche thing one might find for sale in mason jars on the dark web.  Be careful if you’re into such things.  I wouldn’t buy it unless you’re sure of the source, so to speak.

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If idle blog will once be necessary, I’ll not sleep neither. This mortal house I’ll ruin…

Good-o and hell morning.

It’s Thursday, so I’m writing my formerly standard (and potentially newly standard) weekly blog post today.  Huzzah.  Admittedly, I last wrote a blog post on Monday, so there have only been two blank days since I posted, but it still feels odd.  My daily blog posts are almost never worth reading, anyway, though, so it’s not a huge loss.

It was slightly nice to let myself not feel pressured to write a “report” on my progress these last few days.  I also didn’t push myself to write more than one page a day.  Historically, that has often nevertheless led to me writing quite a bit more per day, but not this time.  Over the last two days, I’ve written a total of 1,361 words on Extra Body, bringing it to its current total of 57,886 words (88 pages).  I just haven’t had much energy for writing, or for anything at all.  That’s even relative to my usual level of energy.

I say that, but I have been trying to study some mathematics and physics.  I’ve been doing the Brilliant course on intro to linear algebra, which is quite interesting, and should help prepare me for more in-depth work in quantum mechanics/quantum field theory and (most important to me) General Relativity.  I need to review and improve my calculus as well.  I also got the e-book (PDF) of Advanced Theoretical Physics by the guy who runs the Science Asylum YouTube channel.  He does a really good job explaining things on his channel‒including things I already understand well, so I know he’s rigorous and thorough.

I’ve also been reading Leonard Susskind’s Theoretical Minimum book on Special Relativity, with plans to move toward the subsequent one on General Relativity (and to circle back to the one on quantum mechanics).  And, of course, I’ve also been reading Sean Carroll’s two Biggest Ideas in the Universe books.  Basically, I want to ground myself in the concepts and renew and improve my mathematics skills before I get into real study of GR, using Sean Carroll’s textbook (I already own it and Gravitation) and possibly some other recommended texts, and also some university level quantum mechanics and quantum field theory.

One reason for this is:  I’ve long wondered just what would happen if one were to accelerate a space ship to close enough to the speed of light that its relativistic length contraction and relativistic mass put it below its Schwarzschild radius (at least relative to outside observers), which should mean it should become a black hole.  But of course, it’s not a simple spherical mass, so the solutions for the equations might be much more complicated and lead to unexpected outcomes as in the Kerr solution for spinning black holes.  This is the most realistic black hole model, since basically all black holes spin, and often do so quite energetically.  Conservation of angular momentum applies to collapsed stars just as it does when a spinning skater spins faster as the skater’s arms are pulled in.

I have a secret fantasy that a spaceship situation such as I described above might allow a ship to turn itself into a wormhole instantaneously if everything is done right, and achieve something that is effectively faster-than-light travel.  But even if that’s not workable, I’d like to know what would happen in such a situation.  I know this is not idle thinking, because there was real curiosity whether, if there really were curled up dimensions that are large enough, particles at the LHC might achieve relativistic mass enough to become tiny black holes*.

This is far from the only question I would like to understand better about GR.  I want to understand, deeply, the mathematics that makes a cosmological constant produce “repulsive gravity” and thus expanding spacetime.  I’m actually starting to get a little inkling of how that works, but only an inkling**.  I need more.

I would like to understand everything, of course, everything that there is to know…but only through the dint of my own work.  I would never want just to be given knowledge.  How lame and boring that would be!

I also have been able to (re)read some fiction amidst all this‒The Belgariad, by David Eddings.  I picked up near the end of Queen of Sorcery and am now in the first half of Enchanter’s Endgame.  It’s nice to be able to read at least these fiction books that I haven’t read in a while 

Basically, I’m frantically grasping at straws‒panicking in my weird, quietish way‒trying to find something, some reason, to keep me going.  I fear it’s not working, though.  The downward pull is too strong; I’m orbiting in the inner accretion disk of my personal black hole, and unless I can be pulled out by someone or something‒for I cannot do it on my own‒I will soon enter the “plunging region” where orbit is no longer possible, and nothing remains but to cross the horizon.  Every single day I yearn for everything to be over.

It doesn’t help that my sleep has been rotten, even by my own standards.  And my chronic pain always interferes with everything.  And my tinnitus is just galling, keening away like a permanent near-the-ear mosquito, but higher in pitch, especially now that I have a bit in my left ear as well as the major tinnitus in my right ear.  It makes the various other noises of the world feel all the more chaotic.  And I’m very much alone in my head, and in my life.  I feel like the only member of my species, like that last passenger pigeon that lived, companionless, in the Cincinnati Zoo for a few years before dying.

Meanwhile, the weather down here in south Florida is thoroughly sloppy, with rain and flooding and everything that goes with them‒such as the Internet being out where I live‒leading to my long commute being more unpleasant than usual.  At least it’s cooler, though (in temperature, not in fashionableness).  There were a few times during the night last night in which, when I started awake‒as I do several times most nights‒I realized that the air conditioner wasn’t even running!  That’s rare in June in this part of the world.

Oh, and I mentioned Substack a few days ago.  Well, it turns out that, technically, I already have a Substack account, since I follow a few other writers and thinkers thereon.  So I guess, if I so chose, I could write stuff there and set it up with a paywall.  Of course, actually, I could do that here on WordPress already, I think, and loyalty would suggest that it would be the better choice.  Of course, I could set up a Patreon account and link it to my work here and to my YouTube channel and so on.

All these thoughts are pipe dreams, though.  I don’t honestly expect any of them to come to fruition‒they’ll just drop to the ground like most of the fifty-six trillion mangos in south Florida, merely to rot there and attract fruit flies.

We’ll see, I guess.

Meanwhile, I’m scheduled to work this weekend, so I’ll have two more days of fiction writing this week and three next week before my next scheduled blog post.  It’ll be almost the equinox next Thursday, and of course, this coming Sunday will be Father’s Day.  I wish that were a holiday I could enjoy; being a father is the most important and greatest thing I have ever done.  But that all went bitterly off-kilter, and I crashed and burned, and right now I’m just surviving in the wasteland near the wreckage, fantasizing about a rescue or an escape, but knowing more and more every day that such a thing is vanishingly unlikely.

Anyway, enough.  This is getting too long.  I hope you all have a good week and a good weekend.  If you’re a father, I hope you have a great day Sunday, and for those of you who have fathers who are still around and who deserve it, I hope you get in touch with them at least and make sure they know that they matter to you.  Men are expected to be stoic about love and other feelings…but men also die by suicide in about three or four times as great numbers as women.  Correlation does not necessarily imply causation, but it sure doesn’t rule it out, either.

TTFN

*This was never a worry, just to be clear, even if it had happened.  A tiny black hole that size would decay almost instantly via Hawking radiation.  But that would (or should) produce an essentially random shower of particles, not the usual decay products of the original particle.  Alas, no such events (or event horizons) occurred, so if there are curled up extra dimensions, the LHC didn’t get energetic enough to probe them.

**That sounds like the word for a baby pen, doesn’t it?

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“Sleep”, writing, and studying physics–report for June 5, 2024 AD/CE

Well, I got almost 4 hours of uninterrupted sleep last night, plus 20 minutes or so of on and off dozing.  While that sucks big-time, it’s better than it’s been lately.  At least I’m not seeing bugs on the walls out the corners of my eyes right now–though I still keep briefly thinking there’s a cat waiting by any door that I open, until I look down and see that there isn’t.

What can you do?  Not much right now, it seems.

Anyway, I produced a decent amount of work this morning.  I wrote 1,373 “block” words and 1,388 “net” words, with a difference then of just barely over 1% no matter which number you take as your denominator.  The total word count of this would-be short story is now 54,327 words, and it is 83 pages long in the format I described yesterday (I think).  It’s definitely more of a novella.

I’ve been doing a bit of reading these last few days, skipping between Sean Carroll’s two Biggest Ideas in the Universe books and the first volume of Feynman’s lectures and Jordan Ellenberg’s Shape*.  As you know, I’ve been trying to teach myself more of the physics on which I missed out by switching majors after my heart surgery, especially General Relativity and Quantum Mechanics/Quantum Field Theory.  Sean Carroll’s** “Biggest Ideas” books are focused on explaining those things for interested laypersons without avoiding the mathematics, but not practicing teaching/practicing how to do the math, so it’s a good beginning.  Of course, in a perfect world, I intend to beyond the overviews and actually to get comfortable with using the mathematics, particularly because I want to understand the cosmological constant at the level of the mathematics of General Relativity, because that’s the only part that I don’t quite get intuitively.  But really, I want to understand and be able to use all of it, and to be able to read all the papers on arXiv and understand them at the level of a professional, like I can with medrXiv and bioRxiv.

I doubt that I will live that long.  But, in the meantime, at least I’m learning new things.

Tomorrow is Thursday, so of course, I will be doing my more standard Thursday blog.  It’s silly to call it a “weekly” blog, since I’ve been writing these reports almost every day; once I’ve started a habit it’s hard for me to deviate from it.  But I don’t plan to write any fiction tomorrow, but instead will just focus on the blog post.  I’ll see you then (so to speak).

*I’ve not yet encountered a better teacher of mathematics than Professor Ellenberg.  He captures and conveys the fun and beauty of math as well as anyone I’ve encountered and better than the vast majority.  He narrates his own audio book versions, too.  If you want to review general mathematical ideas and then general geometric ideas (and their surprising applications) in an accessible and enjoyable way, you could not do much better than reading (and/or listening to) his books.

**Professor Carroll is another great teacher, though he deals with slightly more high-falutin’ stuff than Professor Ellenberg in his books, so the subject matter can be denser.

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My thoughts are minutes; and with sighs they blog their watches on unto mine eyes

Hello and good morning.

It’s Thursday again—indeed, it is the last Thursday in May of 2024, common era, and this day will never come again.  That is, it will not come again unless time turns out to be cyclical, in which case, I guess this day will come again over and over, an infinite number of times, though it would never feel that way from inside.

Certainly, in at least some sense, this day is permanent.  For instance, this is so if, based on Special and General Relativity, one can consider the universe to be a “block universe”, i.e., one in which each event and moment or whatever you want to call it in all of space and time is simply what it is and is “always” there, like a cosmic Blu-ray® that plays itself.  Except it doesn’t play itself.  Again, it simply is, and the sense of time passing is simply something experienced by tiny beings that comprise little four-dimensional braids of energy because of the way they are put together or rather the way they exist in local spacetime.

I’ve written about this before, considering the question, if we (and everything else) are permanent and unchanging local patterns in spacetime from the beginnings of our lives to the ends, might it be that, when we die, from an experiential point of view, we merely start over at the beginning, with everything in our lives happening over and over.  Or perhaps it’s more accurate to think that, in such a case, there is still a “me” that is living yesterday, experiencing it, and the day before and the year before and the decade before, and so on, in a possibly infinite continuum of moments.

If that were to be the case, then the best general advice would probably be to try to make your life such that, if you are going to live it over and over again for eternity, that will not be the equivalent to being condemned to Hell.  I think Nietzsche talked about something like this, but I may be misremembering.

Of course, each time one lives one’s life again is restarted from a local blank slate.  It’s not as though you would ever have any memory of having gone through all this before, any more than a character in a movie learns from the fact that you’ve played the movie before and behaves differently next time.  Anakin Skywalker will never avoid becoming Darth Vader, no matter how much we see that he suffered horribly and did horrific things that he regretted, all while failing to achieve what he had meant to achieve by going to the dark side in the first place.

So, however you were going to live your life is how you were going to live your life—from the outside perspective—and you should just try to do the best you can in any case, because…well, why would you do anything else?

Of course, whatever you end up doing is literally doing the best you can, since you cannot change what you do once it’s done.  See above regarding the permanence of time and so on.  Even if quantum mechanics in some way derails the “simple” spacetime block notion*, that doesn’t make the past any more amenable to adjustment.

Whatever the nature of reality ultimately is, it is, and we are not going to change that.  We can learn more and more about it and use that knowledge to our benefit, but we cannot ever escape whatever the meta-level rules of reality are, any more than a pawn can make any legal move that allows it then to change the rules of the game of chess.

Anyway, that was all good fun and we all had a jolly good laugh, but I feel that perhaps I’ve trodden such areas too often, and I’m probably boring my readers.  Apologies.

Junes is coming in two days, and it’s a relatively eventful month.  A close family member of mine has an important birthday; the Solstice will be here (Summer in the north, Winter in the south); and of course, Father’s Day comes in June.  That’s a bitter holiday for me, unfortunately, but there’s nothing I can do to change that preexisting fact; again, see above.

As for other things, well, I think I got a slightly better sleep last night than I’ve been getting lately.  I still began waking up at about 1:30 in the morning, but I was able to go back to sleep again until a little after 2 and then about 2:30 or so, and 3, and then started just giving up and fully waking up at about 3:20.  Even so, at least I was able to get to sleep somewhat earlier than I usually do, and that’s saying a lot.  It may be quite tragic that three and a half hours of uninterrupted sleep feels so much better than usual, but it does.

It’s not simply happening randomly, just to be clear.  I am making interventions and trials and seeing what helps and what doesn’t.  I’m not going to get into them for the moment, lest I cloud my own mind with the discussion.  But it’s not just that, hey, wow, I’m sleeping slightly better these last two nights, gosh I wish I knew why.  It’s the product of my always ongoing attempts to improve things when I can.

I’ve also been reading a bit for that past few days on and off—mainly Sean Carroll’s new book—but, while this is a good thing, it’s not an unadulterated good.  I won’t get into the reasons for that caveat, and in any case, from my perspective, it’s overall a positive.

Tomorrow I’ll go back to writing my one page (or possibly more) on Extra Body, and I will give a brief report on that (probably), though my brief reports are somewhat prone to digression into not-so-brief discussions of tangentially related subjects.  I am also going to be working Saturday, barring any changes, so I’ll probably rinse and repeat then.

In the meantime, I hope you all have a great rest of the week as May draws to an end and June arrives.

TTFN

*It need not do so.  The spacetime block might merely be more complex than our first, naïve notion of it, and actually be a spacetime block made of the universal wavefunction, with “branches” at every quantum decoherence and a level of splitting that may be as fine as the divisions of the real numbers, uncountably infinite.  Taken as a whole, though, these could all still be fixed and “permanent”; there would just be more of a fractal sort of character to it at the level of quantum interactions and the like.

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And simple truth miscall’d simplicity, And captive blog attending captain ill

Hello and good morning.  It’s Thursday again, and so it’s time for a more fully fledged blog post for the week, in the manner in which I used to write them when I was writing fiction the rest of the week (and playing some guitar in the time between writing and starting work most days).

I’ve been rather sick almost every day since last week’s post, except for Friday.  I don’t think it’s a virus of any kind, though that may be incorrect.  It’s mainly upper GI, and it’s taken a lot of the wind out of my sails.

I haven’t played guitar at all since last Friday.  I’ve also only written new fiction on a few of the days—Friday, Monday, and Wednesday, I think—since the last major post.  Still, on the days I wrote, I got a surprisingly good amount of work done, I guess.  It seems as though Extra Body is taking longer than it really ought to take, but once it’s done, I’m going to try to pare it down more than I have previous works, since my stuff tends to grow so rapidly.

I’ve been trying to get into doing more studying and “stuff” to correct the fact that I didn’t realize my plans to go into Physics when I started university.  I had good reasons for this non-realization, of course, the main one being the temporary cognitive impairment brought about by heart-lung bypass when I had open heart surgery when I was eighteen.

I’m pretty sure I’ve written about that before, but I didn’t know about it then, and I didn’t learn about it until I did the review paper I wrote for my fourth-year research project in medical school.  I just felt discouraged and stupid, though I consoled myself by studying some truly wonderful works of literature as an English major, including once taking two Shakespeare courses at the same time.  That was great!

It’s always nice to learn about things, all other things being equal.  I don’t think there are pieces of true information about the world that it is better not to know.  Our response to learning some intimidating truth about the greater cosmos may not be good, but the fault then lies not with the stars but with ourselves.  If you truly can’t handle the truth, then the problem is with you, not with the truth.

Of course, knowing what is true is generally not simple, except about simple things, and often not even about those.  This is the heart of epistemology, the philosophical branch that deals with how we know what we know when we know it, so to speak.  The subject may seem dry at times, especially when it gets weighed down by jargon that serves mainly just to keep lay people from chiming in on things—at least as far as I can see—but it is important and interesting at its root.

Not but what there can’t be good reasons for creating and using specific and precise and unique terms, such as to make sure that one knows exactly what is meant and doesn’t fall into the trap of linguistic fuzziness which often leads to misunderstanding and miscommunication.  That’s part of the reason most serious Physics involves mathematical formalism; one wants to deal with things precisely and algorithmically in ways that one can make testable and rigorous predictions.

Physicists will sometimes say that they can’t really convey some aspect of physics using ordinary language, that you have to use the math(s), but that can’t be true in any simplistic sense, or no one would ever be able to learn it in the first place.  Even the mathematics has to be taught via language, after all.  It’s just more cumbersome to try to work through the plain—or not so plain—language to get the precise and accurate concepts across.

And, of course, sometimes the person tasked with presenting an idea to someone else doesn’t really understand it in a way that would allow them to convey it in ordinary language.  This is not necessarily an insult to that person.  Richard Feynman apparently used to hold the opinion that if you truly understand some subject in Physics, you should be able to produce a freshman-level lecture about it that doesn’t require prior knowledge, but he admitted freely when he couldn’t do so, and was known to say that this indicated that we—or at least he—just didn’t understand the subject well enough yet.

I don’t know how I got to this point in this blog post, or indeed what point I’m trying to make, if there is any point to anything at all (I suppose a lot of that would depend on one’s point of view).  I think I got into it by saying that I was trying to catch up on Physics, so I can deal with it at a full level, because there are things I want to understand and be able to contemplate rigorously.

I particularly want to try to get all the way into General Relativity (also Quantum Field Theory), and the mathematics of that is stuff that I never learned specifically, and it is intricate—matrices and tensors and non-Euclidean geometry and similar stuff.  It’s all tremendously interesting, of course, but it requires effort, which requires time and energy.

And once other people have come into the office and the “music” has started, it’s very hard for me to maintain the required focus and the energy even in my down time, though I have many textbooks and pre-textbook level works available right there at my desk.  I’ve started, and I’m making progress, but it is very slow because of the drains on my energy and attention.

If anyone out there wants to sponsor my search for knowledge, so I wouldn’t have to do anything but study and write, I’d welcome the patronage.

But I’m not good at self-promotion, nor at asking for help in any serious way.  I tend to take the general attitude that I deserve neither health nor comfort in life, and I certainly don’t expect any of it.  I’m not my own biggest fan, probably not by a long shot.  In fact, it’s probably accurate to say that I am my own greatest enemy.

Unfortunately, I’m probably the only person who could reliably thwart me.  I’m sure I’m not unique in this.  Probably very few people have literal enemies out there in the world, but plenty of people—maybe nearly everyone—has an enemy or enemies within.  This is one of the things that happens to beings without one single, solitary terminal goal or drive or utility function, but rather with numerous ones, the strengths of which vary with time and with internal and external events.

I’ve said before that I see the motivations and drives of the mind as a vector sum in very much higher-dimensional phase space, but with input vectors that vary in response to outcomes of the immediately preceding sum perhaps even more than they do with inputs from the environment.  I don’t think there will ever be a strong way fully to describe the system algorithmically, though perhaps it may be modeled adequately and even reproduced.  This is the nature of “Elessar’s First Conjecture”:  No mind can ever be complex enough to understand itself fully and in detail*.

A combination of minds may understand it though—conceivably.  Biologists have mapped the entire nervous system of C elegans, a worm with a precisely defined nervous system with an exact number of neurons, and of course, progress is constantly being made on more advanced things.  But even individual neurons are not perfectly understood, even in worms, and the interactions between those nerves and the other cells of the body is a complex Rube Goldberg machine thrown together from pieces that were just laying around in the shed.

Complexity theory is still a very young science.

And the public at large spends its energy doing things like making and then countering “deep fakes” and arguing partisan politics with all the fervor that no doubt the ancient Egyptians and Greeks and Romans and the ancient Chinese and Japanese and Celts and Huns and Iroquois and Inca and Aztecs and Mayans and everyone else in ancient, vanished, or changed, civilizations did.  They all surely imagined that their daily politics were supremely important, that the world, the very universe, pivoted on the specifics of their little, petty disagreements and plans and paranoias**.

And so often so many of them, especially the young “revolutionaries”, whose frontal lobes were far from fully developed, were willing to spill the blood of others (and were occasionally even willing to sacrifice themselves) in pursuit of their utopian*** imaginings.  This is true from the French Revolution to the Bolsheviks to the Maoists and the Killing Fields, and before them all the way back to the Puritans of Salem, and the Inquisition, and the Athenians who executed Socrates, and the killers of Pythagoras****, and the millions of perpetrators of no-longer-known atrocities in no-longer-known cultures and civilizations.

And then, of course, we have the current gaggle of fashionably ideological, privileged youth, who decry the very things that brought them all that they take for granted, and who will follow in the blood-soaked footsteps of those I mentioned above—l’dor v’dor, ad suf kul hadoroth, a-mayn.

In the meantime, I’ll try to keep writing my stories, and try to keep learning things, and if I’m able to develop an adequate (by my standards) understanding of General Relativity and Quantum Field Theory, it’s just remotely possible that I might even make legitimate contributions to the field(s).  But more likely I’ll self-destruct, literally, well before any of that happens.

I’ve probably gone on too long already, as has this blog post.  I thank you for your patience with my meanderings.  Please try to have a good day, and I hope those of you who celebrate it are having a good Passover.

TTFN

*This implies that Laplace’s Demon could not be within the universe about which it knows the position and momentum of every particle and the strength of every force.  It needs to be instantiated elsewhere.

**Should that be “paranoiae”?  It feels like that ought to be the formal way of putting it, but Word thinks it’s misspelled.

***Not to be confused with “eutopian”.  Utopia means “no place”, whereas Eutopia would mean “good place” or “pleasant place” or “well place”.

****He was caught despite a head start, so I’ve heard, because he refused to cross a bean field, believing that beans were evil.  He was a weird guy.  It’s apparently from his followers that the term “irrational”—which originally just meant a number that cannot be expressed as the ratio of two whole numbers—developed its connotation as “crazy” or “insane”.  They didn’t like the fact that irrational numbers even existed.  Too bad for them; there are vastly more irrational numbers than rational ones…an uncountable infinity versus a “countable” infinity.  It’s not even close.