Physics

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“And, to SLEEP, you must slumber in just such a bed.”

Well, it’s f*cking Saturday, and I’m going in the to f*cking office to f*cking work, because it’s not challenging enough for me to recover my limited mental equilibrium when I have two days off, so I should try to do it with one as often as possible.  Oh, and the one day I supposedly still have to take off is the day I have to do all my laundry, which means I have to go into the other part of the house and, more often than not, deal with their overly energetic and poorly trained dog‒and it’s a big dog.

I’m not afraid of dogs.  I like dogs, even very large ones.  But I have little sympathy for dogs that have not been trained, and who act like they’re still teething or something.  If it were my dog, I could rapidly train it out of the habit of putting its moronic jaws around peoples’ forearms, and it and I and others would be happier overall.

Maybe next time I’ll go out with suntan lotion or even pepper spray all over my arms, so it gets an unpleasant mouthful if it tries.

Honestly, sometimes I’m tempted just to slip it a few chunks of the rat bait/poison that I have.  It’s not the neurotoxin one, which is supposedly less harmful to people and pets than to rats.  It’s the super-coumadin, blood “thinning”, anticoagulant one.  To be honest, though, I would probably not be willing under nearly any circumstance to poison a dog, since the agency of such a creature is limited and its poor behavior is largely due to the humans in its life.

And yes, of course I have a big, multi-pound bag of rat poison.  Who knows, I might get peckish at some point and want it as a snack.  The holidays are upon us, after all, and it can be so hard to stay on a diet at this time of year.

Anyway, that’s just one possible nosh that I have for potential last meals.  I even have a couple of emptied out fiber capsules that I’ve refilled with broken glass pieces.  They would actually go nicely with the previously mentioned snack, wouldn’t they?  Like salted caramel, the two components could really enhance each other.  You might even call it synergy.

Enough about such tempting treats.  The point is, I’m going to the office today.  Then I’m heading back to the house.  Then I’ll be trying to rest if I can for the remainder of the weekend, though when I think of my own mind, I am inescapably reminded of Boromir describing Mordor:

That works pretty well to describe my very annoying brain/body.  I cannot seem to sleep very long, and I never feel like I sleep “all the way” if you will.  I am always somehow on yellow alert; I don’t know why.  It’s exhausting.  There are plain few upsides or effective distractions, and almost never any relief.

I don’t even know what I’m writing about right now, really.  I just feel a general, free-floating hostility and even hatred for most things in existence.  Sometimes I just want to wipe out the whole universe.  It can be done rather easily, at least from a certain perspective.

Incidentally, creating a new local source of the hypothetical inflaton field would probably not do the trick, assuming that inflationary cosmology is correct.  Most of the mathematical solutions to that possible situation indicate that, such a field would initiate a new, rapid, inflationarily expanding “universe”, but from the perspective of our universe the created bubble would just plop through and out of spacetime.  I haven’t done the math myself‒I am not adequately trained to do it at this time‒but I have this from more than one fairly reputable and reliable source, including people who actually do have the necessary expertise.

I’ve previously discussed vacuum collapse; if one could figure out how to trigger that‒assuming it is possible‒one could literally wipe out everything in the current universe.  Though, of course, it would take a long time, since it could only happen at the speed of light, so really, you’d only be wiping out everything in your future light cone.  There may be no way to destroy the universe that doesn’t effectively take a limitless time to accomplish.

On the other hand, when I spin around, it’s possible to view that action as the universe spinning around me while I’m stationary.  There are legitimate reasons why we don’t tend to think of it this way, but it’s a perspective that can be taken.

From that sort of perspective, when one dies (from one’s own point of view at least) the entire universe ceases to exist.  It’s very simple and thorough!  Of course, if there is an afterlife, that plan would fail, and one would be forced to go back to the drawing board.  But I’ve never encountered even borderline intriguing evidence or argument that might indicate an afterlife exists, unless you count things like a Poincare recurrence*.

So there is at least one reasonably reliable and plausibly achievable way to destroy the universe, from my point of view.  And the good thing about that is, from other points of view, the universe would still exist, and this would be no more contradictory than the fact that someone falling through the event horizon of a large enough black hole wouldn’t even notice it happening, but those far away would see the faller as never even quite reaching the event horizon.

Anyway, that theoretical stuff isn’t really very interesting for present purposes.  What matters is, at the very least, I can destroy the universe in a sense, if I so desire.  And every day it seems to become more and more tempting to do so.  This world is just so disgusting so often, and it’s not just humans that meet that description.

Ah, well.  Try to have a good day if you can for as long as the universe does exist.  After that, you’re on your own.

*Or the possibility of quantum immortality in the context of Everettian quantum mechanics.  But the various other possible alternate versions of me in such a theoretical quantum multiverse are not “me” even now, from my point of view‒not exactly, anyway, not in any sense that I can experience.  So future possible subsets of the wave function of the universe that contain randomly immortal versions of me are not worth taking into account, and they are vanishingly rare**.

**Though I suppose, as time goes by and all mortal things die, the quantum wavefunction of the universe might come to be dominated by such versions of…well, everyone.  None, however, would be able to interact with each other as far as I can see.

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A very low magnitude happiness vector

It’s Friday now, for those of you who have been drinking heavily in the run-up to the big holidays and have lost track of the days.  I’m certainly working today, but I don’t know if the office will be open tomorrow, so I don’t know if I will write a blog post tomorrow.  If you’re interested, feel free to check this site in the morning.  Or, if you like, you can subscribe, and you’ll be sent emails for new posts.  But take that suggestion like a broken barometer:  no pressure.

That’s almost all that I feel I have to say.  Ordinarily, not having anything to say doesn’t mean I won’t write a post.  I’ll just blabber and blather for nearly a thousand words, just to see myself write*.  But there won’t be anything of substance.

Probably a good fraction‒perhaps even a significant majority‒of everything you can find on this blog is pointless nonsense.  Though, of course, I might contend that everything is pointless nonsense.  But here in this blog, you will sometimes find it concentrated, distilled, freeze-dried, and vacuum sealed.

No, I don’t know what some of those things might mean here, metaphorically, any more than you do.  I was just saying words that I thought seemed good.  I have curious tastes, though, so I’ve no idea what others might think of them.

Anyway, that’s me trying to act all silly and funny and whatnot, as if I might be even slightly happy, so that other people don’t have to worry about me.  Well, don’t worry about me.  I’m not happy at all, but it doesn’t matter in the slightest, because neither do I.  Maybe that’s just the way everything is, or maybe it’s just me.  Neither would particularly surprise me.

So, anyway, yeah, I’m not happy, not in any useful sense of the term.  John Galt said that happiness is a state of noncontradictory joy, and that’s always seemed to me like a pretty useful definition of the word, though it’s not the only useful one.  But I like how it separates joy from happiness.  Even people going to the gallows can sometimes joke and laugh, if only as a defense from fear, and in those moments of laughter they may feel joy.  But it is perforce transient, and it’s unlikely that they would be willing to say that they were happy**.

So, in that usage of the word happiness, joy would be necessary but not sufficient for actual happiness.  And both might be relatively orthogonal to a state of wellbeing (which is another word that has more than one interpretation).  Still, though the dot product of happiness and wellbeing may be surprisingly small***, I don’t think it could be zero.

Yes, I use vector multiplication as metaphors for such things, though honestly, it’s not really even so far separated as to be merely a metaphor.  Vectors can be useful for tremendous numbers of things that may seem far afield from each other, from computers and artificial intelligence to physics to biology to economics and ecology.

They can even be of use in psychology, though I don’t know how often they are used therein.  I haven’t dived into a lot of more formal psychology recently, though I like the popular works of Daniel Kahneman and of Jonathan Haidt.  And Paul Bloom is great fun.  But popular works of psychology rarely involve measuring aspects of mental functioning as vectors in a phase space.

Though, as you might have picked up if you’ve read a lot of what I’ve written here, I think it’s useful to think of human behavior and actions as the outcome of a vector sum of all the various “pressures” in the brain/mind, which end up with a resultant that determines what one’s actions will be in that moment.

But, of course, the action itself can feed back on the input vectors, altering them in various ways (maybe their angles, maybe their magnitudes, rarely but possibly their actual sign, which admittedly would just be equivalent to an angle change of 180 degrees, or 𝜋 radians).

Likewise, the state of many of those vectors can change with time.  For instance, one could imagine a vector associated with one’s degree of alertness.  Such a vector would tend to have greater magnitude in the daytime than late at night in most humans, so it waxes and wanes inherently (though even this is likely a result of input vectors delivered by various aspects of the sensory systems).

But the actions taken as a product of previous moments’ vector additions can affect this vector, too.  If a previous resultant led to one having a strong cup of coffee, that might increase the magnitude of the alertness vector, though there would be a delay.  Alternatively, if the previous outcome had led to one drinking a significant amount of Wild Turkey 151 on an empty stomach, the alertness vector might soon start decreasing in magnitude.

Okay, I’ve reached the point in the blog post where I’m using vectors to describe the effects of coffee versus whiskey.  I think it’s reasonable to bring things to a close now.  I hope you all have very good days, by any reasonable measure.  If I work tomorrow, I’ll write a post tomorrow.  I’ll leave figuring out what effect that will have on your own wellbeing for your consideration.

*Analogous to speaking to hear oneself talk.

**Though I can imagine possible situations in which one might be literally happy even on the way to the gallows.  It would be a very brief happiness, nonetheless.

***I doubt that it is, but I also doubt that it is the full, direct product of the magnitudes, as it would be if there were no angular difference at all.  Wellbeing, I think, is more complicated than happiness, which is itself by no means simple.

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“These our actors…are melted into air, into thin air.”

Well, it’s Tuesday, and for reasons (or, rather, causes) that are unclear to me, I had a particularly poor sleep last night.  I just didn’t feel sleepy.  Even this morning, when I told myself I needed to buckle down and get some shut-eye at least, I was only “out” for a few moments.  I even felt, or worried, that I had overslept somehow, if that’s believable.  But when my eyes snapped inevitably open, I saw that maybe 15 minutes had passed.

Eventually, even someone as stubborn as I must give way to the brute facts of reality, so I gave up and got up.  Of course, even if one doesn’t decide to “give way”, it doesn’t change anything.  Reality doesn’t depend upon the approval or acquiescence of conscious beings, however they might like to flatter themselves that it does.  It simply is whatever it is.  That’s what makes it reality.

This is a good thing, of course.  If reality could simply be changed by the power of a mind‒for instance, my mind‒there would be many, many people who failed to signal or otherwise drove badly who would simply disappear, never again to be heard from by their friends and loved ones*.

In reality, though, if one wants to disintegrate someone, it’s a somewhat laborious and messy process.  As far as I can tell, there is no way to make something like a phaser from Star Trek that can just scatter someone into particles, or whatever it is that phasers do.  Trust me, I’ve thought about potential designs on and off over the course of decades.

You can’t shoot a beam of gluons because they self-interact and are not found outside the nucleus (or a quark-gluon plasma), which is why the strong force has such relatively short range despite having a massless force-carrying boson (i.e., the gluon).

One also cannot shoot W or Z particles, perhaps hoping to initiate some form of decay.  Those bosons interact with the Higgs field, and so they have mass‒quite a sizeable mass for force-carrying particles.  And the W bosons even have electric charges.  So they don’t have a range much longer than the size of a nucleon, if that.

One could accelerate neutrons; or rather, one could accelerate parallel and matched electrons and protons and set them to collide with each other and continue in their initial trajectory as newly formed neutrons (plus some neutrinos).  Depending on their speed, they might just break apart some larger nuclei (or raise the atomic numbers of some others, à la the S process and R process nucleogenesis such as occurs in supernovae and neutron star collisions).

This could do some damage, I guess.  One might even be able to make it lethal if it were strong enough; and it might be a delayed death, which could be useful for assassins of one kind or another, I guess.  But if you wanted to disintegrate someone, you’d have to cause a very large explosion, which would not treat you kindly if you were anywhere near.

If you could generate a beam of antimatter‒positrons or, worse, antiprotons or antineutrons‒you could certainly obliterate someone if you had enough.  But it would be an even worse explosion than the neutrons would give.  A person’s mass, annihilating with an equivalent amount of antimatter, would yield far greater explosive force than any nuclear weapon ever detonated (even the Tsar Bomba, which only involved the conversion of about 5 pounds of matter into energy, much smaller than any adult human).

So, yeah, instant disintegration by a ray gun (or a beam from the eyes like in comic books) using anything we currently understand is unworkable for various reasons.  Whether dark matter particles (if they exist) or even neutrinos (which do exist and do have quite peculiar properties) could be made to disintegrate someone is far from clear or promising.  In any case, they would be likely to lead to some manner of explosion such as mentioned above.

You wouldn’t want to do that in traffic.  The whole point is to delete people who needlessly make driving less safe for those around them!  You would cause more harm than good, by quite some margin, if you obliterated them, however satisfying it might be to turn an inattentive driver (and their car if they are alone**) into a small but very powerful explosive.

Wow.  I guess this is the sort of stuff that goes through my mind when I sleep very poorly, huh?  It makes me feel a bit like writing some on HELIOS.  I could explain why but that would give potential spoilers for the book, in case I ever write it.

Oh, well.  I hope you all have a very good day.  But do use your signals when you drive, for goodness’s sake.

*I know, I’m being unreasonably generous.  Of course, people who don’t signal properly when they drive don’t have friends, and it’s all but certain that no one loves them.  Whether they are, themselves, capable of love is open to debate.

**If they are not alone in their car, or on the road, it would be too dangerous to obliterate them in situ, in terms of collateral damage.  Perhaps the neutron beam that is only lethal after a delay would be useful for that after all, doing damage that only has its full effect over time.  One could similarly use X-rays or even gamma rays for that, but their penetrating power makes it much harder to avoid hitting innocent people.

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“Turning and turning in the widening gyre…”

Well, isn’t this a surprise?

I’m writing a blog post on a Saturday for the first time in quite a while, because at the last minute, the boss sprang on us the notion that he needs us to start coming in on Saturdays again.  Things have been a bit slow the last few weeks, and a company with whom we had made a recent contract has apparently stiffed us a bit.  This is hardly our fault, of course—we had no input in the decision-making process—but we are going to be bearing the brunt of it.

Unfortunately, the coworker with whom I used to alternate Saturdays has already been picking up some shifts at his bartending job on Saturdays, so he cannot work, at least for the foreseeable relatively near future.  So, I’m going to be coming in on Saturdays, it seems.  Because, of course, he has a wife and young daughter to care for and with whom to spend time, whereas I have absolutely no one, so I am expendable.

I admit that I don’t do very much on weekends at the house, but if there was one good thing, it was that on Friday nights I could at least take some Benadryl and force myself to sleep in a little bit on Saturdays.  It’s not ideal rest, of course, if it’s achieved via well-known side-effects of antihistamines.  But it was the best I’ve been able to do, and that extra rest, however far from ideal, did me some good.

I can’t sleep in on Sundays, because I need to do my laundry on Sunday mornings, and I don’t want to have to go traipsing through the other parts of the house while the other renters are up and about.  That’s more stressful than getting up early.

I swear, there are times when I suspect that my boss wants me to kill myself.  If so, I wish he would just say so.  I’m amenable to the idea, especially if I could get some help to make it go easier.

This has not been a very good birthday week for me.  In fact, I don’t think I exaggerate by saying that the birthdays that passed while I was in PRISON were better than this week.  At least then, I could hold on to the delusional idea that, once I got out, life would be better.

Ha ha ha ha ha ha ha ha ha!!

I think more and more often—or, well, it feels as though that’s the case—that I ought just to embrace my innate nature as a destroyer and commit myself to the destruction of the entire human race.  We have no business contaminating the rest of the universe with our presence, or with the presence of our emissaries, if we create some AI-based self-replicating robots or whatever to send out.  We can’t even manage the minor issues of our current “civilization”; what business have we trying to colonize the galaxy, let alone the universe?

We could wipe out everyone—and probably lots of other species—with another mass extinction, and then nature has plenty of time to develop another technological civilization if it’s so inclined before the sun goes red giant.  Of course, whatever they might be could be no better than humans are.  There’s no reason, for instance, to imagine that any kind of animal currently alive on Earth would manage things better if they were suddenly granted the capacity to have a technological civilization.  But at least it would be out of our hands.  We would be laid to sleep like the children in the nursery rhyme prayer, dying before we wake.

We certainly are not awake now.  Look around you.  The most powerful nations (ever) on Earth are in the hands of collections of moral imbeciles.  As always, as Yeats pointed out, “The best lack all conviction, while the worst / are full of passionate intensity.”  There are logical, causal reasons for this fact, but they do not make it easier to stomach.

I hate this fucking planet.  I hate this fucking species.  In fact, I’m not fond of the universe overall, at the moment.  If I could imagine a way to trigger a vacuum collapse that would wipe out everything, I would consider doing it.  But that’s at best a hypothetical possibility.

I guess I have to start somewhat smaller.

Contrary to popular imagining, there is no danger in creating, for instance, a small black hole in a particle accelerator, even if we had an accelerator with that capability.  Small black holes disappear almost instantly, vanishing in flashes of Hawking radiation.  Even if they didn’t, a miniature black hole would almost certainly just sink to the center of gravity of the Earth and perhaps do a bit of extra heating of the core.

Black holes don’t magically suck things into themselves, they merely gravitate just like anything else of equivalent mass (which would be tiny indeed for one produced from a particle accelerator).  Yes, anything that passes the event horizon cannot escape, but for a subatomic black hole, that horizon would be unimaginably tiny.  Even a black hole with the mass of the whole Earth would only be the (outer) size of a pea.

One could and can, of course, create thermonuclear reactions without requiring a fission explosion (which requires rarer materials) to trigger it.  A network of lasers triggering local fusion in appropriately placed samples could direct that energy toward a lithium deuteride* core and generate enough heat to trigger a growing chain of explosions.  But such a “bomb” would need to be large and stationary.

Still, one could set up a dummy corporation with branches in numerous large cities throughout the world and build those bombs, maybe also setting them up in “research outposts” in Antarctica and/or the Arctic, to melt the polar ice caps.  Possibly putting some similar “research facilities” near the thin-points of various volcanoes and super volcanoes would also enhance the outcome.

Alternatively, one could use a particle accelerator to generate anti-matter and store it.  Now this would be quite a technical challenge, since one cannot store neutral antimatter easily—it annihilates if it touches any normal matter, and so it is generally stored in electrically charged forms such as positrons and antiprotons, in evacuated chambers, contained by powerful magnetic fields.  It’s not an efficient way to do things, but one could, possibly, store enough of it that, once one released the magnetic containment, one could unleash an explosion that would make the Tsar Bomba look like one of those little paper poppers we used to play with when we were kids.

There are other ways, of course, to do things.  I’ve mentioned before that it wouldn’t be all that hard to use rockets to redirect the orbits of large asteroids so they were more likely to collide with the Earth.  Or one could genetically engineer and mass-produce a more hardy and virulent form of anthrax (for instance) and disperse it aerially over major cities.

I guess the point is I’m not in a good mood, and it would probably be better for all of humanity, as well as for me, if I were to cease to exist.  I’m so tired of everything.

I hope you’re having a nice weekend.

*Although, for the lithium to be converted to tritium most efficiently, on needs a source of neutrons, which are handily provided by primary fission explosions in usual thermonuclear weapons.  I suspect one could arrange alternate sources with only minimal effort.

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If the vacuum collapses, everything gets messy

It’s Wednesday morning now, and I feel slightly better than I did yesterday, which should probably be no surprise.  I went back to the house last night, and I had a decent sleep‒for me, anyway‒and no major evening issues.  Now I am working my way toward the office.  It’s payroll day, so it should be at least mildly more hectic than most other days, but it shouldn’t be too unbearable.

Well, it shouldn’t be unbearable at all.  I mean, the state of being unbearable or not is a purely binary thing, isn’t it?  Either something is bearable or it is not.  If something is unbearable, then it cannot be borne.  So, saying something is not “too unbearable” is probably almost always nonsensical.  I suppose one could imagine something being only just unbearable, so that one could almost be able to bear it…but not quite, and one would finally be forced to succumb to whatever outcome that entailed, despite one’s possibly heroic struggles.

In some ways that sounds like it could be worse than something being thoroughly and unequivocally unbearable.  If one can see that something is truly unbearable, one will probably be less likely even to try to bear it.  One would not bother attempting to style out the brunt of a supernova; if one could not get far enough away, one would presumably just close one’s eyes and grit one’s teeth and take what comfort one could in knowing that the explosion will probably happen and obliterate one faster than any nerve impulse could propagate.

That’s one of the (tiny) comforts about the possibility of there being a “vacuum collapse” of the universe, in which the present “dark energy” vacuum state could, hypothetically, quantum tunnel down to a lower, truer vacuum state than the present one*, releasing that potential energy drop in such a way that wipes out all currently existing particles/fields.

This would erase everything in our visible universe (the “visible” part is deliberate and crucial; do you see why?**) in a sort of wave of collapse that starts at the site of the first state change, like the propagation of ice crystals forming in hitherto supercooled water.  But though it would be a shame, from our point of view, it would be one we would never experience, since the bubble of state change would expand at the speed of light.  It would thus be literally impossible to see it coming, because once you could see it, it would already be there, and you would be wiped away before you could possibly be aware that it was happening.

By the way, this possibility is “only” hypothetical; we aren’t even sure it could happen, not least because we’re not sure whether the vacuum state of the universe is as low as it can go or not, among other things.  But don’t worry:  if the vacuum collapse of the cosmos doesn’t kill you, something else will.

Even my truly immortal vampires in Mark Red might be wiped out by vacuum collapse.  I suspect they would, which might be a comfort to many of them, so to speak.  Of course, that would depend very much on how the “supernatural” forces in that book’s universe interact with the vacuum state and other quantum fields.  It’s not inconceivable that they might survive even that.  How’s that for horrifying?

These are odd thoughts for a Wednesday morning, aren’t they?  I mean, on a Thursday they wouldn’t be that odd, and even less so on a Friday.  On a Saturday they would be almost boringly predictable.  But on a Wednesday morning?  That’s just, well…odd, as I said.

I’m being silly.  My apologies.

I guess it’s more uplifting than is the prospect of universal Armageddon***.  Though, really, the Tao te Ching (in the version with which I am familiar) encourages us to embrace death with our whole hearts because that will help us to be prepared for most everything else we can encounter.

It does not encourage us to love death or to seek it; quite the contrary.  We are merely encouraged to accept it, not just intellectually but viscerally, to internalize***** it.  This is one of those curious circumstances in which the Tao to Ching and the movie Fight Club give the same advice, which is no indictment of that advice in either direction.

I try not to indulge in the vice of advice, but I will express my hope that every one of you who reads this post today or any of my other posts has a particularly good day, today and every day hereafter.

You’ve suffered enough already.

*This is analogous to what is thought to have happened when the “inflaton” field dropped down to a much lower energy level about 13.8 billion years ago, releasing the differential energy as the very hot soup of elementary particles that eventually became the universe we see.

**Okay, fine, I’ll explain.  It’s not just that the wave is expanding at the speed of light and so one would “see” it only as it hits.  But, given the current, accelerating expansion of the universe, the wave of change could never, even in principle, reach areas of the cosmos that are outside our cosmic horizon, because those places are receding from us faster than the speed of light/causality.  There is no causal influence from us that can ever reach them, or vice versa (assuming no wormholes or warp drives or similar).  Likewise, someplace beyond our horizon****** could be collapsing already, but we need never worry, because that collapse is not going to reach us (unless it changes the rate of overall cosmic expansion or even reverses it, which is not inconceivable.  We might then find ourselves in (or near) an anti-deSitter space, in which case, well…yeah).

***Not to be confused with the often misused**** term “apocalypse” which is basically just synonymous with “revelation”.  It’s become associated with the end of the world (and with lesser catastrophes) because one of the alternative titles of the book of Revelation is “The Apocalypse of Saint John the Divine” or whatever they called that nut bar.

****That rhymed, and it had a good rhythm too, both quite by accident.  I did that in yesterday’s or Monday’s post as well, but I didn’t call attention to it.  Can you find it now?

*****I would love to be able to use the term to grok it as in Heinlein’s Stranger in a Strange Land, but much as when Fuckerberg stole the term “metaverse” from me, likewise Elon Musk and the would-be tech boys who idolize him have arrogated the term “grok” and made it embarrassing to use.  Don’t even get me started on the disgusting theft of the word Palantir by Peter Thiel.  He deserves to be tortured interminably for the unmitigated gall he has shown in daring to use that term, but I would accept his immediate, painless disintegration and that of his company.

******Speaking of horizons, it is interesting to wonder what a vacuum state collapse would do to currently existing black holes.  I suspect they would basically be impervious to it, since the vacuum state is something that exists within spacetime, with the gravitational field as the backdrop of other quantum fields, but we don’t necessarily know enough about quantum gravity to feel very sure, as far as I know.  I suspect it might change the specifics of Hawking radiation at the level of the event horizon, and thus change the specific rate of black hole decay.  Also, I think in the first rush of particles generated by such a vacuum decay, most black holes would grow briefly with the influx of newly released energy all around them that had previously been bound up in the vacuum energy.  But that’s just my initial intuition.

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Noisy events on the horizon of my attention span

It’s Tuesday, isn’t it?  Well, I guess it may not be Tuesday when you’re reading this, but it’s Tuesday as I’m writing it.  It’s the second day in the latest of a seemingly endless stream of utterly pointless “work weeks”.

Welcome to our world.  Welcome to our world.  Welcome to our world of noise.

That’s a paraphrase of the song that was (and may still be) sung by the dancing animatronic puppets in the main front area of the big F.A.O. Schwartz store that sits just by the southeast corner of Central Park in Manhattan.  I’m not sure why I felt like including it there, but it definitely expresses the sentiment I have that nearly everything in the universe is effectively “noise” in the information theoretic sense.  At the very least, the signal-to-noise ratio in the world is vanishingly tiny.

It’s not zero, mind you.  There’s some info hiding in all the nonsense.

Of course, whether something is signal or noise depends very much on what signal you’re seeking.  If you’re trying to detect gravitational waves, then nearly everything else around is “noise” in the sense that it is not evidence of gravitational waves, and is just going to make that evidence harder to find.  But if you’re an ornithologist, then at least some of that seeming noise might be the birdsong “signal” of a rarely seen species there in Louisiana, which I think is where the first LIGO observatory was constructed*.

And, of course, if you’re a seismologist, what you consider a significant signal would very much be noise to the LIGO people.  If there were a gravitational wave strong enough to be seismically significant, it would have to be from a very close and catastrophically violent event.

We don’t expect there to be such a thing any time soon.  And apart from such events, gravitational waves are so relatively weak‒gravity being by far the weakest of the “forces” of nature‒that so far they can only be detected from things like black hole and/or neutron star mergers, which are ridiculously violent events.

Incidentally, apparently recent observations of one such merger has given confirmatory evidence for Stephen Hawking’s black hole horizon theorem**.  That states that when two black holes merge, the (surface) area of the new, combined event horizon must be at least as large as the two prior event horizon areas combined.

In this, as in other things, black holes and their horizons act very much like the 2nd Law of Thermodynamics, and that is consistent with the Bekenstein-Hawking thesis that the entropy of a black hole is proportional to the area of the event horizon, as measured in square Planck lengths.  Indeed, the maximum entropy‒the maximum information‒of any given region of space is that which would be encoded upon an event horizon that would hypothetically enclose such a space.

As for the volume of a black hole within the event horizon…well, that’s harder to quantify.  The apparent radius, as judged from the sphere of the event horizon‒the Schwarzschild radius for a non-rotating black hole‒is almost certainly much smaller than the radius that would be perceived by someone within the horizon, for spacetime is very distorted there.  Indeed, I suspect that, at least by some measures, the volume within a black hole‒or at the very least the radius from the “center” to the horizon‒is infinite, with the “singularity” actually stretching down away forever.

Of course, an asymptotically infinite well of that sort need not always have infinite volume.  There is, for instance, the counter-example of “Gabriel’s Horn”, a shape made by rotating a truncated function (y = 1/x for x ≥ 1) around the x-axis.  This shape has infinite surface area, but it has a finite volume(!).  So you could fill it with paint, but you could never finish painting the inner and outer surface.  Weird, huh?

Of course, the dimensionality of things within a black hole’s event horizon is probably at least one step higher than things in the Gabriel’s Horn comparison, so the finite/infinite comparisons may not translate.

I’d like to be able to do a better job working that out with more than my intuition; that’s one reason why I own no fewer than four fairly serious books on General Relativity.

That’s not the only reason, of course.  I would also like to try to solve what happens to a space ship that accelerates near enough to the speed of light that its relativistic mass and relativistic length contraction puts it below its own Schwarzschild radius (at least in the direction of motion).  Also, how would that figuring be changed if the ship were rotating around the axis of its motion***?

Unfortunately, I rarely have the mental energy to put into pursuing adequate mastery of the mathematics of GR, and so I can (so far) just try to visualize and “simulate” the spacetime effects in my imagination.  That’s fine as a starting place, but even Einstein had to master the mathematics of non-Euclidean geometry and matrices and tensors before he could make General Relativity mathematically rigorous.

It’s almost certainly a pipe dream that I will ever get to that level of expertise.  My chronic pain and chronic depression (dysthymia) combined with the effects of my ASD (level 2****, apparently) and the effort that’s required for me to act “normal” enough to get along just really wear me out mentally.  It’s frustrating.  I have a stack of pertinent texts above my desk at work, where I hope they will entice me.  I even have a copy of my old Thomas and Finney college calculus text there too, so I can do some reviewing in that.

If only I were able to spend some time without pain and to get a good night’s sleep once in a while, I might even make progress.  I suspect that such things are not in the cards, however.

I would love to be dealt The Magician (in Tarot cards) but I fear that I am just The Fool.  Oh, well, that’s all just metaphorical, anyway.  It’s possible to predict the future, of course, but it is difficult, and it’s very unlikely that any set of cards‒however cool they may be‒is the way to do it.

*I remembered correctly.  It is in Louisiana.

**The theorem, being a theorem, is mathematically rigorous, but the question remains whether it describes the way our universe actually works.  That is always a matter of credences rather than “proof” in the mathematical sense.  In the real world, probabilities may come vanishingly close to zero or to one, but they never quite reach them.

***In Special Relativity, when something is traveling around a circle at a significant fraction of the speed of light, length contraction has the effect of “shrinking” the circle from the “point of view” of that which is moving at that speed.

****”Requiring substantial support” according to the official definition.  I do not have such support.

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“The sun is the same in a relative way, but you’re older.”

Okay, well, here we are.  It’s Wednesday.  I don’t know what else there is to say about the day.  I guess…yeah, I don’t know.  It’s another day.  It’s a stretch of (roughly) 24 hours, the specifics depending on whether you’re using solar time or sidereal time or just the “self-contained” UTC time*.

UTC time is kept on a variety of clocks around the world and is based on the oscillations in the hyperfine transition frequency of the Caesium-133 atom.  That frequency has been defined as 9,192,631,770 Hz.  The international measuring community thing, whatever they call themselves, thereby agreed on defining the second as exactly 9,192,631,770 of those Caesium-133 oscillations.

Of course, oscillations of atoms, like all other processes that take time, slow down with increased spacetime curvature and with increasing speed relative to any given observer.  This is why the GPS satellites have to adjust their own time to account for both special and general relativity.  It’s pretty cool; you’re carrying proof of Einsteinian relativity in your smartphone.

You probably already knew that.

Then, of course, once they’ve decided on the precise value of a second‒knowing that the speed of light (or more precisely the speed of causality) is constant‒they then defined the meter as how far light travels (in a vacuum) in⁠ 1/299,792,458⁠ seconds (approximately 30 2/3 “vibrations” of a Caesium-133 atom).  Mind you, two observers moving relative to each other will see their meters as different each from the other, but c’est de la relativité.

It can be easy to imagine that definitions of units in science (and related fields) are not merely arbitrary but circular, almost tautological.  But really, given that these are attempts to codify specific attributes of reality itself, they would almost have to be self-referential with each other to be useful.

The length of a day is something that happens for real.  Thanks to the base 6 and 12 numbering system of the Babylonians, the day was long ago arbitrarily divided into 24 hours, each 60 minutes long, and each 60 seconds long, so a second was 1/(24 x 60 x 60) days or 1/86,400 of a day.

That worked well for a long time, especially since, before Galileo et al, humans couldn’t really measure time very precisely, anyway.  And then, until railroads allowed rapid travel between cities, it wasn’t necessary to worry too much about having the same time in different places.

But eventually that did become useful and necessary for many purposes, and eventually it was realized that a day wasn’t exactly what we were calling 24 hours, and indeed, that the length of a day varied slightly from day to day and year to year; also, a year isn’t a whole number of days long.  Also also, a day could be measured relative to the sun‒which is close enough that a day doesn’t end quite exactly after one full rotation since the Earth moves relative to the sun over the course of a day‒or with respect to distant stars, by which estimate a day comes closer to being exactly one complete rotation.

For most people most of the time, though, this precision, and that upon which it is based, are probably not merely irrelevant but unknown and unguessed.

Likewise, I don’t know how many people know about how Celsius made his temperature scale 100 degrees between the freezing and boiling of water at sea level pressure (a pretty reasonable choice, though I’m led to understand he initially had 100 assigned as the freezing point and 0 the boiling point!).

Then it was discovered that there existed a minimum possible temperature in principle, and they decided to set that scale, the Kelvin scale (named after William Thompson Scale**) using degrees of the same size as Celsius, but with zero defined as‒understandably enough‒absolute zero.

It’s all fairly interesting, if you’re in the right frame of mind.  But, alas, there’s every reason to suspect that all this information will be rendered moot and useless and perhaps even lost as the world winds down, or if life is replaced by artificial intelligence, or everything ends in some other way, as seems more than possible even in the relatively short term.

In any case, the laws of physics, as we know them, seem clearly to predict that the universe will tend toward ever-greater entropy and eventually all life, all structure will end.  Sometimes, I think it cannot happen soon enough for my taste.

Then again, there are cyclic universe proposals, such as Roger Penrose’s Conformal Cyclic Cosmology.  It bases its model on the fact that entropy, though always tending to increase, is not really an absolute quantity, not a substance, and that our universe’s “maximal” entropy may be the next universe’s low-entropy beginning, just on different scales; it doesn’t even require any “inflationary” burst of expansion to explain the uniformity of the CMB, I think.  I haven’t yet finished Penrose’s book about CCC, because though he is a stunningly brilliant mind, his writing can be a bit plodding and dry.

I guess it’s hard for any person to be good at everything, though Penrose has many strengths.  If memory serves, he invented a set of shapes which can be used to tile an infinite plane (in principle) with no gaps and no repeating patterns.  Supposedly this has been proven to the satisfaction of professional geometers, though I am not familiar with that proof.  Still, if it is a mathematical proof, then it is one of those rare things that we know to be certainly true, given its set of axioms.

It’s not necessarily useful in any practical sense, of course.  For instance, I think it’s probably true that any tiling system that can tile an infinite plane without repeating could not be used to tile a closed, finite, simple geometrically shaped portion of a plane‒such as a rectangular room.  I think you would always have to cut some of the tiles as they reach the wall, no matter how big the room is, as long as it is finite.  I do not know this for certain, that’s just my intuition.

Well, I guess I’ve wasted space and time enough here for now.  It’s no more wasteful than has been my entire existence, I guess, but also no less wasteful.  Or is it?  I don’t know.  In any case, for now I will stop wasting your time.

Please have a good day.

*Yes, it’s probably redundant to say “UTC time”, but the order of the acronym is sort of Yoda-esque‒it did not originate with an English term‒so I feel it’s tolerable to use it this way here.

**That’s a joke.  He was really William Thompson, the first Baron Scale***.

***I mean the 1st Baron Kelvin, of course, all joking aside.  A baron scale sounds like some long forgotten and unused (i.e., barren) bit of laboratory apparatus, left for eons, gathering dust in an abandoned world, like the broken statue of Ozymandius.  It’s very sad.

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I’ll have blogs more relative than this

Hello and good morning.

It’s Thursday again, if you can believe it.  It feels like it was just seven or eight days ago that it was Thursday last time, and here it is again.  I don’t know how this keeps happening.  Weirdly enough, though, from within, this week has felt as though it’s moving very slowly, and yet, it also feels as though Thursday has come again sooner than I expected.

The mind’s time sense is clearly not entirely objective and consistent.  Then again, why would it be?  Extremely precise long-term time-keeping would not have been a particular evolutionary advantage in the ancestral environment, certainly not one worth the inescapable biological (metabolic) cost of maintaining such a thing.

In any case, now we have incredibly precise time-keeping mechanisms which rely on some fundamental and consistent physical laws.  And though time does pass (so to speak) at different rates depending upon one’s relative velocity and the local curvature of spacetime (i.e., gravity), thanks to Einstein, we know how to adjust our disparate measurements of time with enough precision that we can maintain contact with a bunch of satellites in orbit, and they with each other, and use them to “triangulate” our precise position on the surface of the Earth to within a few meters (there’s generally more than one such triangle, thus the scare quotes—there is probably something more like a tetrahedron).

Of course, we don’t quite know completely just what time is, or at least, we don’t know for sure whether it’s fundamental or emergent from a deeper underlying set of physical laws.  We do know, based on General Relativity alone, that time would be in many ways “an illusion”, because simultaneity is not a consistent thing, and what counts as “now” relative to you depends very much on the direction and speed of your travel compared to other people.

From that point of view, all of spacetime in a sense “already” exists, and our experience of change is an illusion produced by the fact that we are within the block of spacetime.  Like characters and events in a movie on a DVD (or in any other stored medium) the events of the future are already laid out for us, and the end of the movie is as real and as permanent as the beginning, even when we watch the movie for the first time and don’t know what’s going to happen.

I think I talked a bit about this phenomenon in a post on Iterations of Zero called “Playing with spacetime blocks”.  If you want a better introduction to the ideas than anything I could give you, Brian Greene described it really nicely in either The Fabric of the Cosmos or The Hidden Reality.  I’m sorry that I don’t recall for certain which of the two books it is, but they’re both really great and are well worth your time.

Now, as it often does, quantum mechanics puts a bit of an onion in the ointment of fixed 4-D spacetime blocks, and the questions it raises depend—or so it seems to me—on which “interpretation” of quantum mechanics one applies.  In the standard version(s), in which there is such a thing as the collapse of the wavefunction when a quantum interaction occurs that leads to decoherence, there is a fundamental unpredictability to the outcome of such interactions when “measured”.

But if the permanence of spacetime as a whole that appears to be implied by General Relativity is correct, even those seemingly unpredictable events, countless numbers of which happen every second of every day in Dorset alone, are actually fixed and unchangeable.  This implies a mechanism of sorts for “superdeterminism”, or so it seems to me.

Of course, the Everettian “many worlds” version of quantum mechanics—which doesn’t require a deus ex machina wavefunction “collapse” that has to be added “by hand” to the calculations—seems to imply that, if spacetime is fixed in the GR sense then the state of being so fixed includes a fixed set of every outcome of every quantum interaction that would lead to so-called branching of the wavefunction of the universe.  That can be put into the works of GR, and it would give spacetime an added dimensionality of sorts—the dimension in which those “branched” paths exist.

But it would leave in the reality that we ourselves could not say which future “we” would experience, because every possible one actually happens; we just experience one at a time, so to speak*.  It would still be deterministic, just not as a “local” experience for those within spacetime.  Reality would be more like a “choose your own adventure” story than a fixed, scripted movie, but as with those books, all outcomes of any path are still fixed ahead of time.

I think I’ve rehashed a lot of the stuff I discussed in that blog post from IoZ, though I haven’t the will and patience right now to go check.  The specifics of my take on things are probably different this time; certainly, I think I understand all of the pertinent subject matter better than I did when I wrote about it before.  So, hopefully, this has given you at least something new.

Whatever the case, I cannot have done any differently than I have—unless I cannot help but do every possible different thing, but each branch of me, being a branch, only experiences its subset of the universe.  Even if, in a sense, you go both left and right at every metaphorical turn, you still only experience one direction.  It’s just that there is more than one of you, in a sense, experiencing each direction itself but unable to experience the other(s).

It’s really wild and cool stuff, isn’t it?  Science is amazing and awesome and fun.  Thomas Dolby sang that She Blinded Me With Science, but it’s really a way of removing blinders, of wiping the lenses of one’s glasses (and eyes) and focusing more precisely and rigorously on what’s really there, i.e., what’s happening whether anyone believes it or is there to experience it or not.

That’s probably enough for now.  I hope every possible version of you—even if there is only one—has a wonderful day today.

TTFN

*Please don’t make the mistake of thinking that it is human (or other creatures’) choices that determine the branching points of Everettian many-worlds, as seems to be implied by the movie Sliding Doors among other things.  It is quantum interactions resulting in decoherence that lead to the “splitting” of the wavefunction, and they are rarely the result of human choices, at least outside of places where experimental physics is done.

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Gravid questions of time and gravity (and labor)

It’s Monday, the first of September, which was “originally” the seventh month, but which is now pushed back to the ninth by the two “caesarean” months.  Speaking of such things, it’s also Labor Day in the US (I’m not sure about other countries) a day on which we celebrate labor by giving most people the day off.  This isn’t quite as perverse as it might sound.  After all, what woman would want to work while in labor?

Ha ha.

Anyway, my workplace is open today, though only for half a day.  It has become more and more common for nearly everything to be open even on huge holidays like New Years and so on, let alone “ordinary” federal holidays.  The reasons are fairly straightforward, and they have nothing to do with any kind of formal, deliberate, corporate conspiracy such as is imagined by so many naïve people on social media.

It’s just the same problem‒or situation‒that leads trees to grow tall when it would make much more sense for them all to stay closer to the ground and not waste so many resources on trunks and xylem and phloem, on getting water and nutrients from the ground up to their highest leaves*.  The trouble is, if all the trees were low but then one variant appeared that was slightly higher, it would have a significant advantage over its species-mates (and other species), so it would be more effective at reproduction, ceteris paribus.  Its offspring would come to dominate, unless and until yet other variants occurred that tended to grow even higher.  And thus the “arms race” would begin.

So in the human world:  if everyone else worked four days a week, but one worker was willing/able to work more days or longer days, especially if for the same or only slightly higher pay, then that worker would have a job advantage, (again, ceteris paribus).  And so competition leads at least some workers to strive to outdo each other to the extent they can, and so on, working for local, individual advantage that inexorably leads to less pleasant outcomes for everyone.  It’s just game theory applied to economics.

Anyway, that wasn’t what I wanted to discuss this morning.  I wanted to discuss two physics-related ideas I’ve had in the last few days.  The later one is just a bit of silly fun, but the other is more interesting to me.

The second one happened this morning (at about 2 am, when I was awake, because of course I was).  I put on a YouTube video of Star Talk in which a string theorist was the guest, and Professor Tyson asked her about the possibility of more than one dimension of time, and she said most such theoretical possibilities fall afoul of paradoxes and trouble with causality.

But it occurred to me, if there were a situation with time travel involving, for instance, the “grandfather paradox”, maybe the fact that preventing one’s grandparents from meeting makes one no longer there to prevent the meeting doesn’t necessarily unravel the universe, but maybe the paths and events correct and change each other in a closed, repetitive loop of time, interfering with each other** until only one, complete resonant spacetime line is there.

It’s analogous to a plucked string*** in which all sorts of vibrations and waves go back and forth between the fixed ends, but most waves/vibrations end up canceling each other out except the ones that fit an even number of times within the confines of the fixed string.  So maybe the actual events of reality could thus only be the ones that are resonant within that spacetime…whatever the hell that might mean.

Anyway, that’s the frivolous question; though it’s a bit fun, it probably doesn’t really have anything to do with our actual world (though it could…remember my thought a bit ago about forces traveling backward and forward in time and interfering until only a fixed number of outcomes resonate****?).

More interesting to me, really, was a question that occurred to me while I was reading Lisa Randall’s Warped Passages, a physics book (of course) and a particularly good one.  It was not really discussing the question that popped into my mind, other than that Professor Randall was reviewing the particles in the Standard Model.

We know that fermions cannot pile up one on another (cannot share quantum states), and that bosons can (e.g., in lasers).  We also know that massless force-carrying bosons such as gluons and photons travel at c, the “speed of light”.  The W+ and W- and Z bosons of the weak force do not because they interact with the Higgs field and so have “rest mass”.

Anyway, that’s not really the point.  The point is that gravitons, the hypothetical force-carrying particle of the gravitational field, are also massless bosons, and gravity travels at the speed of light*****.  But something popped into my head that had never occurred to me before and I’m not sure why:  do gravitons come in different frequencies?

We know that light has a limitless number of possible frequencies, across a very wide range, and that higher frequencies/shorter wavelengths are associated with higher energies per photon.  We also know that all matter radiates photons at a spectrum of frequencies that depends on temperature‒the so-called black body radiation.  Well, we also know that all matter “radiates” gravitons, or at the very least it all interacts with the gravitational field.  What if matter gives out gravitons in a spectrum that depends on total mass?

What would it mean for a graviton to have higher frequency or lower frequency?  Would that entail a stronger (and weaker) gravity?  Or would it correspond to something else entirely?

Of course, I know that gravitational waves are of varying frequencies depending upon the source‒that frequency and intensity (amplitude) increase as, for instance, two mutually orbiting black holes get closer and closer, orbiting faster and faster, before they coalesce.  Is that analogous to them producing large numbers of gravitons of those increasing frequencies?  Or are gravitational waves different types of things than “ordinary” gravitons?  Is ordinary gravity propagated by “virtual gravitons” much as the electromagnetic force is carried by “virtual photons”, which are really just mathematical shorthand for perturbations in the quantum field of electromagnetism?

I suspect that, because we don’t really have anything like a good quantum theory of gravity, there would be few clear answers to my questions about gravitons, but there may be constraints based on what we already know that would make my questions answerable or moot.

I mean, I know that “we” know that gravitons would be spin-2 particles, meaning that to rotate them 180 degrees would leave them unchanged******.  I don’t know how this or other aspects of gravitons would affect possible frequencies, though.  Also, can gravitons be polarized in a manner analogous to light?  I’m not sure whether my graviton questions are sensible or pertinent or utterly off the mark.  If anyone out there is a physicist specializing in such things, please, if you can spare a moment, let me know?

This post has gone on for a long time, I know.  I could meander around much longer on these subjects, probably for pages and pages and pages, but that would be a bit much for a daily blog post, if it isn’t already.  Maybe because it’s a holiday, at least some of you will have the time and interest in reading such thoughts, but I don’t want to push my luck.

However, I welcome any comments on the above subjects if you have an interest, and especially if you have relevant expertise (though I welcome all interested thoughts).

In any case, please try to have a good day.

*A fascinating physical process that’s only possible because continuous liquids can actually have negative pressures.

**Not in any inappropriate way, just that they interact and waves can cancel out.

***Not a “superstring” or heterotic string or what have you, just for instance a guitar string or a cello string.

****This is not unlike Feynman’s path integral/sum over histories notion, really.

*****We know this is so because there was a neutron star merger detected by LIGO and VIRGO that was quickly looked at using “light” telescopes as well, and the timing matched up (As a silly aside, since gravitons are bosons and could thus in principle share quantum states, one might, in principle, be able to create a coherent beam of them…a GRASER or GASER if you will).

******Spin-1 particles basically return to their identical state if you rotate them 360 degrees.  And for spin ½ particles, you need to rotate them 720 degrees (!) for them to return to their prior configuration.  Once you’ve rotated them 360 degrees they’re kind of the opposite of their prior configuration.  If that’s hard to think about, just imagine traversing a Mobius strip laid out in a “circle”:  once you’ve gone 360 degrees, you’re on the opposite “side” of the strip than that on which you began, and you have to go another 360 degrees (so to speak) to get back where you started.  Neat, huh?

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Is it a sine of the (space)times that we are where we are in the week?

TBIF* or TDIF**, either way, it’s Friday.  It’s the last day of the work week.  I started writing “It’s the end of the work week” (emphasis added), but I realized that, since it is early in the morning, and I am just on my way to work, this time could not accurately be called the end of the work week.  One could, in fact, say that 20% of the work week yet remains; that can hardly be called an end, any more than a B minus can be considered a perfect score (unless one radically changes the grading system one is using).

Such are the random things that spring forth from my brain via my fingers when I am writing my blog posts in the mornings (in this case on my laptop computer, which is literally on my lap***).  I’m sure you’re well aware of that, if you’ve read this blog for any length of time.  I don’t really know ahead of time what I’m going to write, unless I have a specific subject to address.  Even then I often address subjects in ways that surprise me.  This is because when I write I am really “thinking out loud”, although in this case, “out loud” is figurative.

Do my thoughts meander like a restless wind inside a letter box?  Well, they’re probably more like a restless discarded Cheetos® wrapper in the wind of a nearby tornado; one should almost certainly use a junk food metaphor when describing the way my thoughts spontaneously arise.  Not that I think my thoughts are “junk”, no more so than anyone else’s are.  I just think it’s rather appropriate to consider many of them as having a bit of a temporary amusing effect, but without any real nutritional substance.  Junk food has its place****, after all.

I don’t know what else to write today, but I’ve only written about 450 words so far, including the first four footnotes below.  I would say that I don’t want to shortchange you, the reader, but you’re not actually paying for this in any sense other than spending your time.  And since time cannot be used as legal tender—when you “spend” it, I don’t receive any from you—I guess I shouldn’t consider it to be shortchanging you.

In any case, whether you spend your time reading my blog or doing something else, your time passes all the same.  You could slow it down relative the those around you by accelerating to relativistic speeds, but you would still require the same amount of your “proper time” to read a blog post.  And to those watching you pass at some substantial fraction of the speed of light, it would seem to take you longer than it would take us.

Remember, from a particular, mathematically precise, point of view, you’re always moving at the speed of light—it’s just that most of your motion is through time.  This is part of why you cannot ever reach the speed of light through space:  As you tilt your motion vector toward faster motion through space, less of your motion is through time, until it would stop for you completely.

It’s a bit analogous to moving (say, driving or flying) in particular compass directions.  Imagine your default motion is all northwards, so there is no east or west component to your momentum, but that your momentum vector is always the same length, i.e., you speed in your direction of travel is constant.  If you start to veer eastward a bit, going at that same fixed speed now in a north-northeast direction (for instance) the component of your motion that is northward is smaller than it was*****.

As you veer more through northeast toward east-northeast and beyond, staying at your same speed but in your new direction, the component of your motion that is northward becomes smaller and smaller.  Finally, of course, if you go due east, there is no longer any component of your motion in the northerly direction.

This is close to being the same thing that would happen if you could somehow achieve the speed of light through space, except that the geometry of spacetime is (if memory serves) hyperbolic.  This means “relating to or described by hyperbolas”, it doesn’t mean that the geometry of spacetime exaggerates things all the time.

In any case, though, an object or person traveling at the speed of light (through space, so to speak) would cease to experience any “proper time”.

And with that, I think we’ve come to the proper time to bring this week of blog posts to a close, even if the work week still has a fifth of its time remaining.  I hope you all have a good day (whatever day on which you may read this) and then a good weekend (whenever the next one is for you) and a good week and so on and so on and so on.

*Thank Batman it’s Friday.

**Thank Doom it’s Friday (I suppose one could use TDDIF, Thank Doctor Doom it’s Friday, but that would eliminate the parallel with the more traditional version of the acronym).

***Does the term “laptop computer” imply that there could be a “lapbottom computer”?  What would the bottom of a lap look like?  Would it just be the “bottom”, in which case it really has nothing to do with the lap, since your lap disappears when you stand up, but your ass doesn’t?  If there is no lapbottom (i.e., if laps are instead bottomless) then why use the term laptop?  Why not just call it a “lap computer”?  If people wanted a foreshortened version of that, they could just call it their lapcom.

****That place is 7-11™.

*****By how much?  Why, one only need apply the Pythagorean Theorem to the components of your momentum vector.  It’s dead simple.  If you prefer, you can use trigonometric functions, such as the cosine of the angle of your motion relative to full north, but mathematically there is no difference.