Science

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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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“No need to get up-tighter”?

It’s Monday again, and though it is not raining down by me, I’m all but certain that it’s raining somewhere right now, so one could say “it’s raining again” without fear of being entirely wrong.  No matter how you might want to cut up spacetime based on “planes” of “simultaneity”, there is sure to be somewhere in the universe where it is raining now.

Actually, if the universe is infinite in spatial extent, one could probably prove that it is a mathematical certainty that it’s raining somewhere, since there are‒as far as we can tell‒only a finite number* of possible quantum states in any given region of spacetime, and some of these include rain.  Indeed, even if it were not raining on Earth, anywhere, in some given instant (an unlikely eventuality), the fact is that rain can happen in many places in many forms.  I’m led to understand that it sometimes rains neon in the atmosphere of Jupiter.

So, perhaps the song by Supertramp shouldn’t have been It’s Raining Again, but should have been It’s Raining Still.

I don’t know.  Maybe that wouldn’t suit the rhythm of the song.  Then again, it always was a song where the sentiments expressed in the lyrics didn’t quite match the upbeat character of the tune.  This was probably deliberate on the part of the band.

Oh, in case anyone was wondering, the reason there was no post on Saturday was that, indeed, we did not work in the office on Saturday.  We didn’t work out of the office, either, as far as I know.  Well, I know I didn’t work, so even if they worked, we did not work, so I guess I’m right there.

I did a fair amount of walking on Saturday, and nearly as much on Sunday, though Saturday’s walk was more interesting.  I walked in a “park” along a canal in south Florida, and found myself well down into Dade County before I found an exit from the park area that took me to a road on which I could get something to quench my thirst and a place to which to call an Uber (they have a hard time picking one up in a park alongside a canal).  I had walked about seven and a half miles, and I could tell I was getting a bit too much sun**, though my feet and ankles and knees seemed to be holding up okay.

On Sunday I went for another walk, during which I had enough sunscreen.  That was because on Sunday I took my walk solely for the sake of walking, unlike Saturday, on which I had a specific purpose, and my longer walk began on a whim after that purpose was achieved.

It wasn’t an interesting or noteworthy purpose, by the way.  I’m just not discussing it because it cannot have any bearing for anyone but me.

Let’s see, is there anything else going on that’s worth discussing?  Well, of course, there are things going on in the world, and in the universe, and so on, all the time, and probably many of them are worth discussing to someone, or would be, even if no one knows they are happening.  But, of course, pretty much anything that happens, no matter how locally momentous, is historically trivial, let alone cosmically trivial.

Probably there aren’t many things that aren’t cosmically trivial.  I suppose if inflationary cosmology is real and it started at some locus in spacetime, then that would not have been trivial.  But if there is eternal inflation, there’s a real question as to whether it started at all.

Of course, even then, with eternal inflation, the local drop of the inflaton field down to the vacuum state (or a pseudo-vacuum state) here in our bubble universe‒leading to the formation of our universe, all its matter and energy, and possibly the configuration of our natural laws and constants‒would seem to be significant.

But that would only be significant to us, the creatures in this bubble universe.  On the scale of the cosmos overall, it would be just one bubble universe formation in an endless sea of such bubble universes, each one no more striking than the cavitation bubbles that form and then collapse in water that’s starting to boil.  Indeed, if our universe is such that an eventual recollapse will happen, i.e., a “Big Crunch”***, then we really are a lot like a cavitation bubble.

I guess this has been a slightly odd way to start the week‒which is unfortunate, given that today’s date is an even number (24) not an odd one.  But I don’t think I’ve ever claimed not to be an odd person.  I think I’ve known that I was different and a bit peculiar‒perhaps more than “a bit”‒since I was very young.  That’s okay in and of itself.  If most people are “normal”, why the hell would anyone want to be normal?

With that, I wish you all an abnormally good day and week, and if you’re in the US, I hope you have a good holiday coming up, and that you are anticipating it with eagerness.

*It’s big, don’t be mistaken.  But the biggest finite number you can think of‒ever‒is no closer to infinity than is the number 1.  So, in a universe that’s infinite in spatial extent, all possible finite configurations will be instantiated somewhere‒indeed, they will be instantiated an infinite number of times.

**I hadn’t planned on such a long walk, so I was not prepared in that sense.

***Our best information right now seems to indicate that we are not going to recollapse, but that we will continue to expand, at an ever-increasing rate.  I suppose that would make us more akin to a bubble that fully forms and expands in boiling water, escaping from the liquid into the air above.  Such bubbles are no more important than the cavitation bubbles, though.  They’re merely different. 

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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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“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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Doff thy name; and for thy name, which is no part of thee, take all my blog.

Hello and good morning.  It’s Thursday again, and I’m going to try to be more upbeat today in my writing.  So, given my track record, I’ll simply now say…

TTFN

Ha ha, just kidding.  I would never let you off that easily.  I don’t, though, really know what I’m going to write today.  Of course, I never really know ahead of time, as you know (ahead of time) if you’ve read this blog for long.  But now we’re doubly ignorant*, because I have to choose from a much narrower realm of things about which to speak:  the Positive (or at least the Non-negative).

I suppose we could talk about electric charge‒that can be positive, if you’ll pardon the pun (and even if you won’t).  But of course, charge, and specifically positive charge, has interesting historical contingencies.  Because, of course, positive and negative are merely chosen terms; there’s nothing inherently “negative” about the charge of an electron, nor is there anything inherently “positive” about a proton.

As I understand it, Benjamin Franklin was the one who named the two charges and who began the convention that current moves from positive to negative along, for instance, a wire supplied by a voltaic pile (or “battery”, another term Franklin coined, according to what I have read and heard).

Of course, it was quite a long time before people discovered that‒oops!‒the moving particle carrying the charge in a flowing current is the electron, the “negatively” charged particle.  So, based on the already widespread convention, current, as described by physicists and engineers (and electricians I presume), flows in the opposite direction from the actual charge carrier that’s moving.

It’s a bit like relating stars’ intensity by describing how dark they aren’t.  And it turns out, given that the magnitude scale for stars indicates brighter stars by smaller/more negative logarithmic numbers, that’s actually‒in a sense‒how it’s done.  This is also due to historical contingencies.

These sorts of things happen a fair amount.  Remember when VHS beat out Betamax because it was basically first to the market, even though pretty much all reputable experts agreed that Beta was the better, more reliable, clearer, lighter-weight format?  Once people get used to something, they often don’t want something new, even if it’s better.  I get it, of course‒unnecessary change stresses me out severely‒but it’s definitely unfortunate.

It occurs to me now that the “demotion” (really just the redesignation) of Pluto from planet to “dwarf planet” was a rare exception to this, when humans, recognizing that the terminology they had been using was not ideal, changed it.  Of course, this was the work of an international astronomical society, a group of scientists, so certainly it wasn’t a typical situation or decision.

It also was basically a matter of necessity**.  Several other Kuiper Belt objects similar to Pluto had been discovered, some more massive than Pluto, and all with very elongated, non-circularish orbits (like Pluto’s), so either there were going to be a slew of highly irregular planets with highly eccentric orbits, outnumbering the “older” and more orderly planets, or we were going to have to call these things something else.

It’s useful to remember that the names and categories that we put on things are just our names and categories.  They are not arbitrary, at least not if they are useful; but they are our designations, like the little bits of code that let operating systems know where to find programs and files on a computer’s disk memory.  They let us talk to each other about things and address them with consistency and rigor, so that we can better understand them.

But Pluto doesn’t care whether we call it the ninth planet or a dwarf planet or a cartoon dog.  It doesn’t care if we call it Pluto or Hades or Osiris or Hel or Mandos.  It doesn’t have any idea what we call it or how we “define” it.  It doesn’t have any ideas at all, as far as anyone can tell.  It’s not the sort of thing that has ideas or cares about things.  To quote Mister Spock (who was not speaking about Pluto) “It is, essentially, a great rock in space”***.

For nearly 4.5 billion years, Pluto‒like Jupiter’s moons, like Ceres, like the Kuiper Belt and the Oort Cloud and so on‒was just there, and no one knew it was there, no one had seen it, no one was aware of it (as far as we know, anyway).  Intelligent awareness does not cause things in the universe to be; rather, things in the universe being and doing what they do sometimes, rarely, cause intelligent awareness, at least in one tiny place in the cosmos.

BTW, you are in that place and you are one of those intelligent awarenesses, in case you didn’t know that.  But I suspect you already did know that.

It’s quite the rarefied club to which to belong.  Even if there are countless intelligent species in the universe (however one might reasonably define intelligence) they must nevertheless be a tiny, petite, and wee part of all the stuff in the universe, at least for now.  In principle, that could change eventually, and intelligence could come to dominate the universe, but that’s probably a long way off, if it’s going to happen at all.

It can be hard to be optimistic about that possibility sometimes, given the state of humanity, which always seems abysmally stupid.  But remember, the smarter ones among humans have an advantage, the greatest advantage we have seen in our world:  they are smart.

And with that, for real this time:

TTFN

*I know, if there are fewer things from which to choose, one is in principle less ignorant, since there are fewer unknowns, the entropy is smaller, etc.  However, sampling from these spaces is not random; the negative concept-space is more well known and thus less random (and more likely to be chosen) than the positive space, about which I know but little.

**Not to be confused with the question of the necessity of matter.  That’s a whole sort of “metacosmological” notion.

***I know, I know, Pluto is largely made of water ice.  Trust me (or not), at the temperatures of Pluto, water is a rock.  And at the temperatures and pressures of Titan, methane is the stuff of lakes and streams (i.e., it is a liquid).  And at the temperature of the interior of the sun, tungsten is a plasma…or so I suspect.

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You flocks, you shoals, you fine emergent things

Well, it’s Tuesday morning, and I’m feeling a bit beat up and wrung out from yesterday, which was an extremely bad day, pain wise.  I really felt quite stiff and sore all day, and I couldn’t help walking with a limp.  It’s quite frustrating.  I do have potential assistance of a kind coming today, and hopefully that might make a difference.  We shall see.  I’ll tell you more when I have more information.

As for anything else, well, there’s really nothing else going on in my life.  I still haven’t done any work on new song lyrics, nor have I played the guitar or keyboard at all, nor sang.  I don’t even know what kind of shape my voice might be in at this point, but it’s probably pretty rough.

I think maybe I should drink more coffee during the day.  I used to drink it regularly when I was up north, but I’ve fallen off a lot since coming to Florida.  A big part of that is just that coffee is a hot drink, and hot drinks in Florida can be quite unpleasant.

But also, if I can reevaluate my own internal workings and decision-making memory‒which I can‒I tried to cut back on caffeine because I feared it was a major contributor to my tension and hostility and anxiety.  Well, you’ve read my blogs before (unless this is your first time), so it should be fairly clear that that particular intervention was not fit for purpose.  And one thing coffee has always done for me has been to be something to put in my mouth and stomach other than food.  That’s certainly worth a lot in my case.

Anyway, in the new office we have two refrigerators‒the boss brought in one from his garage that was not being used much‒and though neither has an ice maker, ice trays are easy.  So I can make iced coffee to take the sting off coffee’s hot nature.  I can’t directly take the sting off Florida’s hot and muggy nature, of course, but it’s bearable most of the time.

And in the long run, who knows how Florida’s specific climate will alter as the world’s overall surface temperature increases?  One might assume it will just get hotter and more humid*, but it’s best not to jump to conclusions.  Weather patterns are the archetypal chaotic system, and though climate and weather are not synonyms, there is a relation.

Many things interact to maintain specific local climates.  For instance, the Gulf Stream keeps the British Isles much warmer than they would be otherwise, being so far north, but it is not a fixed pattern in the Atlantic, but a product of confluences of various forces and feedback loops (as well as probably feed-sideways paths).  It has not existed forever.  It just feels like it has because human lives are so short, and human minds tend to be woefully parochial and provincial.  This is a source of so many human problems, not least the failure to learn obvious lessons from history.

But I guess there’s not much point in moaning about that lamentable fact right now.  I try to do my little part by writing about what I think are occasionally interesting and thought-provoking ideas, and by trying to learn about all sorts of things myself, from history and philosophy to biology and physics and mathematics‒and, of course, I’m technically an expert on medicine.  It’s as if I hope that by increasing my own knowledge about as many things as I can, I’ll be able to bring up the average and perhaps have some magical diffusion effect.

I don’t actually think that, of course, nor is that really my motivation for learning about various things and stuff.  I just like to understand and know things, to the degree possible, and I enjoy the process of learning them.  Physics is the most interesting subject to me in many ways because it is the study of the workings out of physical reality.  Everything else that happens is “simply” chaotic, emergent murmurations that happen on the surface of the underlying processes.

There is a question whether mathematics is even more fundamental than physics or is rather an invention of humans to describe and work with the patterns that are happening that are not guided by mathematics, perhaps, but simply produce it as an epiphenomenon.

I think Stephen Wolfram proposed something along those lines, based on “cellular automata”**, but though I have his book A New Kind of Science, I have not read it, because I have the Kindle edition.  It’s not really formatted for Kindle, so it’s basically just a PDF of the original book, and that can make it very difficult to read on one’s smartphone.

Such thoughts are quite entertaining and they can sometimes be productive.  I often wish more people were interested in them rather than, for instance, what some particular celebrity did to some other celebrity, or whether some particular advertisement can, with tortured logic, be “judged” to be inherently offensive and even evil, or just how horrifically to punish someone who agrees with only 99% of the things you believe, but disagrees on 1%.

Okay, I need to avoid getting started on that train of thought.  So, I’ll draw today’s post to a close.  Hopefully, by tomorrow I will have some relatively better news than I’ve had recently.  If so, I will probably share it with you.  In the meantime, try your best to have a good day.

*Particularly if sea level rises enough for a lot of the state to become submarine‒now that would be high humidity.

**The most well-known case probably being John Conway’s Game of Life, which is a “game” on a 2-dimensional grid of squares, with particular, simple rules about what happens to any given square depending on whether its neighbors are empty or not.  Remarkable, self-sustaining, and even traveling patterns form from these basic notions, similar to the way the flocking*** behavior of birds can be described with a few basic rules followed by each bird individually, requiring no communications other than just seeing where one’s nearest neighborings are.

***That sound like an epithet, does it not?

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Chords in music and in time

It’s Monday again, the start of another work week‒that is, if your work week begins on Monday.  In the modern world‒and indeed, perhaps always‒there are many people whose work weeks start on days other than Monday.  I suspect, though, that the majority of people still work their week starting on Monday, at least in the West, though it may not be a large majority.  If anyone out there has easy access to any rigorous statistics on the matter, I would be interested to learn.  On the other hand, I’m not going to seek the information on my own, so it’s not a tragedy if no readers have it.  I like trivia, but this is definitely quite trivial, at least from my point of view.

I hope you all had a good weekend.  My own was not very interesting, and I felt tired, but then again, I did have a cold starting in the middle of last week, so I guess I was still recovering.  I feel as though that particular infirmity is reasonably well on its way.

I worked a little on the chords of last week’s song, Native Alien, though not very much.  At least at the house I have my keyboard, so I can play melody and chords at once to confirm which chords sound best to me.  Interestingly, it seems that the chord to start the song (at least the melody) will be a C major chord, which is the V chord of the key of F major (though if the song could be considered to be in D minor, it would be the VII chord).  This is not unusual, of course, nor particularly noteworthy.  It’s just interesting for me to recognize specific facts to which I didn’t pay attention when I wrote earlier songs, because I’ve thought more about music theory since then, probably because of the guitar.  It’s a curiosity for me.

Speaking of songs, today I plan to do another round of flipping coins to pick a basic topic, or subject, or trigger‒whatever might be the better term‒for another song (lyrics) for this week.  Of course, last week’s word, Earth, didn’t really become the subject of the song, just a takeoff point, but that’s fine.  The idea was just to give me some way to give myself a start.

In other news, I had a weird thought last night after watching one of Sabine Hossenfelder’s latest videos.  I wrote an email to myself about the thought so I wouldn’t forget it, and I’ll include that text here, so you‒yes, you‒can see what you think (I have edited this text for clarity and to correct typos):

“If the overall arrow of time is caused by the tendency toward increase in entropy from a lower to a higher entropy state (“Big Bang” to heat death, at the cosmic level), that could behave analogously to a current (like in the ocean, not a wire).  Meanwhile, locally*, we know that the laws of physics don’t appear to have any directionality time-wise.  So perhaps locally, matter and wave interferences in the sense of quantum wavefunctions can happen not just in space but in time itself and the future can feedback on the past, just not in such a large way that it would overwhelm the overall tendency (though maybe even that is not impossible).  The effect of such a temporally retrograde wave wouldn’t flow backwards so fast that it would override the current itself (probably).  However, that wave could still affect its predecessor, creating standing interference patterns in time and things along those lines that might be the source of so-called super determinism.  Think about this a little bit.”

That last injunction was intended for me, but if any of you want to think about it, you’re welcome to do so (it’s not as though I could stop you even if I wished to stop you, which I don’t).  Of course, if I’m going to really explore this notion, I’m going to need to bone up on my mathematical physics in a serious way, and it’s always hard to find the time.  That’s always been a bit of a weakness of mine:  I get very interested in something and develop skills in it because of my interest, then something else catches my attention, and soon all my energy goes there.  I don’t tend to forget the things I learned previously, at least, and sometimes when I return to them, I even find that I’m better than I was before (e.g., after not playing guitar for quite a while, when I picked it up again, certain songs or chords with which I had trouble before had become much easier).

Also, of course, the fact that I have to work for a living is another distraction.  I really do need some ultra-wealthy patron out there to provide me with living and intellectual resources so that I can devote my time to my wonderful pursuits without having to earn my living.  I also want world peace, world freedom…and a unicorn.

I guess in the meantime I should probably go back to using Brilliant dot org to spruce myself up in terms of mathematics and physics (and computer science in the meantime, why not?).  I have an annual subscription (supporting Sabine Hossenfelder, whom I mentioned earlier), so I might as well use it.  It’s a better use for my spare time than diddling around on social media.

Okay, well, I hope you all have a very good day, and that it is the beginning of a very good week for you.

*I’m using the colloquial meaning of “locally” her not the strict physics definition of locality.

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The stochasticity of quantum interactions and the names of days of the week

It’s Wednesday today.  That’s a weird way to spell a day, and a weird way to spell a version of the name of the god Wotan or Odin, after whom the day is named (unless I am quite, quite mistaken).

Our days are peculiarly and seemingly haphazardly named here in the English-speaking West.  We’re not the only ones with inconsistent weekday names, but ours are certainly a strange hodgepodge.  Sunday and Monday are relatively straightforward:  they’re named for the sun and the moon.  Then, weirdly, we suddenly switch to Norse (!) mythology and name the next four days after four of the old Scandinavian deities.  Then, abruptly, we switch to a Roman god, Saturn, for Saturday.

This “names of the days of the week” thing was clearly not planned out.  It just sort of happened.  But that’s the way so many things occur in the real world—indeed, perhaps everything just sort of happens, and at multiple levels—not randomly but nevertheless stochastically and in a way that is functionally unpredictable, at least in its details.

The various quantum fields just sort of interact in ways that, at their lowest stable energy levels, give us quarks and gluons and electrons and photons and W and Z bosons and various neutrinos and a nonzero Higgs field that interacts with some (but not all) of the other fields.  The quarks and gluons just happen to form up stably into protons (and some neutrons, but neutrons are only stable within an atomic nucleus—they decay with a half-life of about ten minutes when existing freely).  And the protons happen to interact, via the electromagnetic field, with the electron field, and they stably pair up, and neutrons come into play “afterwards”, stabilizing larger atomic nuclei (though that’s not all they do).

Then, on large scales, the graviton field (if there indeed is such a thing, which is suspected but not certain) interacts with all the other fields, and where the density of stuff is slightly higher it pulls that stuff in towards itself, and where it is less, that rarefied stuff gets thinned out further as its components are pulled by neighboring stronger areas of gravity.

This process undergoes positive feedback—as stuff gets denser, its gravity gets more prominent, and that in turn tends to make the stuff get denser still.  And if there is any net angular momentum to larger collections of the stuff—and there almost always is some net angular momentum, since there’s only one way to have zero angular momentum, and there is a functionally limitless number of ways for it to be nonzero*—the stuff starts to rotate around a net common axis.

And then, of course, we get galaxies, and in those galaxies, we get stars, in which the interactions of the various quantum fields and gravity lead the protons and neutrons to get together into bigger clumps, some of which are quite stable (and the ones that aren’t stable simply don’t endure but transform into other states until they find ones that are stable).

Then stars run out of fuel, and the various field interactions and gravity produce various kinds of spectacular deaths, most of which involve scattering at least some heavier elements** out into the reaches of the galaxies.  Then we get next generations of stars, which (by the way) clump and develop angular momentum in a smaller but similar way to the galaxies.  And now, with heavier elements, we get planets, some of which are largely solid.

I think you know the broad strokes of the rest of the story.  If not, let me know.

Of course, this is a very general sketch of how stuff just came together to form the universe in which we exist, and there’s no indication that that is anything more than just small things—or esoteric things, really, such as quantum fields and their local perturbations—interacting with each other and making patterns on larger scales, much as water molecules can clump into fantastic patterns in the frost on windows or in snowflakes when they get cool enough.  Simple (well, relatively simple) rules at small scales can come together to produce surprising things at larger scales when they all interact at secondary, tertiary, quaternary and higher levels.

If you want to see how remarkable that tendency can be even in two dimensions, find a website that lets you play “John Conway’s Game of Life” and see how stable and active and interactive shapes can arise from even truly simple rules.

What was my point?  Sorry, I got distracted there for a minute.  Oh, right, I just meant to say that the things that happen and that all seem very real and important and even inevitable and fundamental are largely the products of stochastic processes interacting in ways that ultimately are far from being representable by any kind of linear equation.

It’s entirely possible and plausible that, if the rules of the quantum fields—or the specific types of quantum fields*** involved—were different, and thus interacted with each other differently, they might still accumulate into structures and functions on higher levels, and though they might produce a universe that would be all but incomprehensible to us, and in which we could not survive for an instant, they might nevertheless form structures and processes that could become what would have to be called “alive” and even “aware” and “intelligent”.

But in how many such universes would there be creatures that name the days of whatever passes for their weeks after various astronomical bodies (or whatever they have that is comparable) and random mythological figures from different places and times?

I leave it to the reader to speculate.

*There’s only so fast anything can be spinning, since no part of the spinning thing can exceed the speed of light.  Even black holes have a maximum angular velocity.  Nevertheless, both the angular velocity and the net axis of rotation can be more or less continuously variable.  If we can apply the real numbers—which ironically may not be possible in the real world—there is an uncountably infinite number of possible ways for angular momentum to be nonzero.  That makes zero really unlikely and unstable.

**Astronomers call any element but Hydrogen and Helium a “metal”, which is a very loose use of the term if you ask me.  I think many astronomers would agree, and sometimes I think I detect more than a tiny amount of embarrassment when they tell people that astronomical definition.

***Or the configurations of strings and branes if superstring/M theory turns out to be correct.