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Cornflakes Goes Classical ... or Quantum?!

(December 3rd, 2024, 16:20)Cornflakes Wrote:  And stoichiometry leads into thermodynamics, but again that is all based on empirical studies and not on a fundamental understanding of what is actually going on "under the hood".

And yet thermodynamics provides one key insight that quantum theory (and any other theory) does not: time passes in a direction. All other theories provide time-reversible mechanics.

Philosphically, all physical theories are empirical. There is plenty in quantum theory that is only justified by result (the "collapse of the wave function", renormalisation). I wouldn't get hung up on that, personally :-).

I will also read the bits of the posts that are about Civ, when I get a chance, honest.
It may have looked easy, but that is because it was done correctly - Brian Moore
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(December 4th, 2024, 16:12)shallow_thought Wrote: And yet thermodynamics provides one key insight that quantum theory (and any other theory) does not: time passes in a direction. All other theories provide time-reversible mechanics.

What is time? Or more directly, what definition of time allows for time to be reversible?

Quote:Philosphically, all physical theories are empirical.

I'll have to think about this for a bit.

Quote:There is plenty in quantum theory that is only justified by result (the "collapse of the wave function", renormalisation). I wouldn't get hung up on that, personally :-).

But this is my big objection to quantum theory. There is a lot of deep thinking that about things that are nonsensical. In my opinion "collapse of the wave function" is garbage theory.

Another example of a garbage theory is the Heisenberg Uncertainty Principle. Take for example Veritasium's video (this one is only 4 minutes long ... but make sure you stick around to the end because in the last 30 seconds he basically shows that the explanation in the first 3 minutes of the video is garbage).

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Did 2 free turns from Spiritual give me this much of a boost at the start?

   

   

9 of my 11 pop are working improved resources. The last winery will be finished next turn, and then I start to lay down cottages
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Putting some micro notes here since turns will be slower while Scooter is out.

T42: Revolt to slavery. Start settler @ Aether. 2-whip Stoichiometry for worker. 1-whip Maxwell for Granary.
T43: Overflow completes missionary @ Stoichiometry. 3-whip settler @ Aether. This will cause a winery to not be worked for 2 turns, but I consider that acceptable since Maxwell's worker is finished with immediate duties and will have turns to road for maximum settling efficiently, and then immediately begin the wheat farm.
T46: Found 4th city @ YELLOW DOT.
T48: Revolt back to Serfdom, to save a turn on wheat farm and also cottages, and chops. Missionary spreads Confucianism @ YELLOW DOT to begin popping borders for Gold..
T49: Wheat farm finishes
T50: Move to forest, chop T51-52 (w/ Serfdom). Granary completed. Using chop since plains wheat is the only food resource so I want to limit whips.
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Thanks for the reports!  I'm just catching up now and really curious to see how this game ends up evolving, with the highly-unusual (for this site) settings.  I'm too afraid of spoilers to say or ask more about the gamestate, but I do have a bunch of thoughts about your latest physics/philosophy post, so I'm spoiling them here for ease of skipping.

I'm not a physicist, so take all of what I write below with a grain of salt.  On the other hand, I'm also not an internet video personality, so at least you might not need the entire salten sea.

(December 5th, 2024, 09:28)Cornflakes Wrote: What is time? Or more directly, what definition of time allows for time to be reversible?

My understanding:  There's no such definition because "time" isn't reversible ... any more than "length" or "width" is reversible.  In classical or quantum mechanics, all events/interactions are in principle "reversible in time" - the way your car is "reversible in length."  That is:  You can turn the car around so it's parked back-to-front in the same direction in which it was previously front-to-back, and it will still be a functional car.  (Actually if you really reverse it in just one dimension, you'll end up with a British car with the driver's side on the right, and I vaguely recollect that if you take it to extremes at the quantum level, you may end up with an anti-matter car, so please don't try testing this with some kind of magic one-dimensional-reversal ray.)

But if you take the case of say a drop from a leaky faucet falling into the sink and splattering, and you run the whole scenario backward as if with a rewind button on a movie, and calculate the momentum and kinetic energy of each of the (various other interacting molecules and) zillion tiny water droplets which (as you watch them backward) happen to be converging on the same spot in your sink, where they smash together into a single big drop, bouncing off the sink together, exactly counteracting one another's lateral kinetic forces with the help of cohesive forces from hydrogen bonds, and consequently rebound up to your faucet, slowed by the force of gravity until they come to a stop right up against the faucet's edge where adhesive and cohesive forces keep them from falling again, you'll find all the numbers add up and the physics works with no problems.  It's just that such an event would be so wildly improbable in the universe as we understand and experience it, with every molecule moving exactly right, that we know it would "never" happen that way in the real world.  We make our predictions on the basis of this understanding and experience, and they keep turning out to be right - in our continuing understanding and experience.  If enough sinks and nearby water droplets keep existing for long enough (don't ask me how many googolplexes of sink-years would be needed; I couldn't even calculate it) eventually some "reverse drips" will actually occur.  They're so unbelievably, impossibly rare though (on a macroscopic scale and/or over any significant timeframe at least) that we can ignore them for all practical purposes.  (Also for virtually all impractical purposes.)

So going back to the first question, "What is time?" a physics answer might be something like, "A dimension of spacetime in which we consistently observe entropic asymmetry in the same direction."  It does all depend on what we can observe though, because...

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(December 4th, 2024, 16:12)shallow_thought Wrote: Philosphically, all physical theories are empirical.

I would say this is true not just philosophically, but by definition.  A "theory" (by colloquial definitions) without empirical support - indeed without an overwhelming mountain of empirical support - is not a physical (or scientific) Theory (by the scientific definition).

Quote:But this is my big objection to quantum theory. There is a lot of deep thinking that about things that are nonsensical. In my opinion "collapse of the wave function" is garbage theory.

Are you objecting to quantum theory (in which case, see my comments on Heisenberg below) or just to some of the philosophical garbage that's been foisted onto quantum theory?  "Collapse of the wave function" is sometimes used as short-hand, but really it's just part of the Copenhagen Interpretation, which as the name implies is not a scientific theory but an attempt to force quantum mechanics to fit with (some of) our unsupported preconceptions about the nature of the universe (at the expense of other unsupported assumptions).  If you want to call the Copenhagen Interpretation a "garbage theory" (if you mean "theory" in the colloquial sense; it is very much not a scientific Theory, and isn't called one) my only objection would be that many people find it a useful tool for thinking about quantum theory (which is notoriously extremely difficult) and making new and testable predictions about it - and anything useful isn't garbage.

As short-hand, by the way, as far as I know, "collapse of the wave function" pretty much just means "the point(s) where we can actually start observing events for which we need quantum theory to make accurate predictions."  Note that the "we" doing the observing here is important only to us:  There are references to e.g. "an intelligent observer" associated with the Copenhagen Interpretation, but that observer is nowhere defined, and my understanding is that that any events that are observable even in principle qualify, whether they are "actually observed" or not, and that this has been demonstrated experimentally.  I should add that as far as I know, there is no "hard line" between observable/classical mechanics and quantum mechanics:  As effects of quantum phenomena become more and more readily "observable" (i.e. have increasing probabilities, based on quantum mechanics and experiment, of predictable "classical" interactions like triggering macroscopic sensors and the like) the quantum effects "smooth out" so that subsequent results are observed to be more and more in keeping with classical expectations as their prior maybe-observable interactions grow more-reliably observable, showing off a "grey area" between quantum and classical theory.  One hypothesis about this is that classical effects are just a consequence of quantum interactions naturally "smoothing out" into predictable patterns this way e.g. as the number of interactions grows large, but we don't have the computing power yet to make enough specific new predictions from this hypothesis to test it adequately.  Which is to say, it might still be way off-base!  (In collapsing-waveform short-hand, you'd say that in the "grey area," some of the quantum waveforms "collapse" by interaction but others still get through as "probability waves."  I think.)

Quote:Another example of a garbage theory is the Heisenberg Uncertainty Principle.

Again, there may be garbage philosophy that hand-waves some connection to Heisenberg, but the uncertainty principle itself is in no way garbage.  It's one of those things that can be discomfiting or seem intuitively wrong, but if you decide to quit using technology that relies on its accuracy, you can't post about it on the internet anymore because you've just taken your cell phone and computer and ultimately every other piece of modern technology out of bounds.

On the videos in this thread: I didn't actually watch either of them (and won't - some people really like getting information through video media; I ... don't) so my only definite comment on the one you posted most recently would be that any attempt to explain quantum uncertainty to a lay audience in three to four minutes of video is inevitably doomed.  I can make a guess though, that the first three minutes try to make quantum indeterminacy intuitively comprehensible by talking about it as though it were a result of the means of measurement affecting experimental results - the "observer effect" - as many have tried before, all the way back to Heisenberg himself. There are problems with this "explanation," but they're problems with that method of making it seem more intuitively comprehensible, not with quantum indeterminacy itself: Heisenberg uncertainty doesn't describe a limitation of the precision of our observations except insofar as we can only observe what's actually there. What it in fact describes is exactly a limitation of classical-style (and therefore intuitively sensible-seeming to us humans) descriptions of quantum phenomena. In other words: It's not (just) that we can't precisely measure a particle's position without affecting its velocity; it's that "position" and "velocity" are classical mechanical (and intuitive-to-us-humans) ideas that don't work anymore when you try to use them with enough precision that you can no longer neglect quantum effects. Of course, since I never watched that video, I can't be sure that's even what's being discussed.

Luckily for me, going back to the first (lonnnnnng) video in your thread, I find it was produced by someone who also has written text articles, including (at least) one about aether, so maybe now I know what you're talking about!  Sadly, the article is (perhaps-entertaining, depending on if you like that sort of thing) drivel.  Its argument for aether is almost reminiscent of Russell's Teapot, except that this "defense" of aether appears to be written without any grasp of orbital mechanics or the scientific method. Also, while I'm looking back at it, I should point out something else from your first post: Classical mechanics has not been "solved" long ago ... nor yet! There are vast ranges of obvious phenomena for which it never provided an adequate description and still doesn't. Many of these can now be described quantum mechanically, but our "solutions" are still not complete!

(Now, in the event that anyone reading this actually knows, I'd love to learn which parts I misunderstood and what I missed!)
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Two turns ago I made a decision to pop Commodore’s scouting axe as it skirted my territory. I flashed my chariot, but he continued parallel to my borders, on there tile where my chariot stands in the below screenshot. In all likelihood he would not have caused any problems but I do have a couple workers cottaging and it could turn out inconvenient if he approaches at the same time as barbs invade from the other side. I felt like killing a scouting axe is a forgivable offense. My chariot earned 2XP for that, and then a barb archer offered up at 78% chance to get an additional 3xp for Sentry. I took the shot, and won!

   

I now have a sentry chariot that should prove useful in barb busting and later scouting vs my human opponents.

Oh, and meet City #4 smile
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Here are the graphs with Scooter and Commodore. I'm still 4-5 turns from getting Yuri's graphs. The main takeaways are that Scooter is prioritizing commerce over production, and I have several extra military units compared to the competition ... probably due to my higher natural production, but also Commodore has Forges in the two cities that I have vision on, and Scooter's culture rate suggests that he has Carnegie Libraries online.

However, my largest-in-the-world-by 18,000 soldiers army (aka, +2 chariots AND +2 axes more than the nearest rival) is none too large! ...

   

... because I have 3 axes, 2 archers, a spear, and a warrior incoming! And I can't switch to slavery for another 2 turns due to recent swap to Serfdom. Thankfully with my high military I'm completely safe here.

   

Chariot in the core removes the first threat. I have an axe in Stoichiometry to handle the spear, which already has a promotion available to heal and deal with the archer, with the chariot as backup if necessary.

   

I was planning to attack the warrior for 2XP, but due to the follow-up axe I'm not taking any chances. My axe has full 25% fortify + 25% hill defense for an easy defensive victory against the barb axe. The extra +1 XP from attacking out at the warrior is not worth giving up fortify and the risk of taking a hit or two.

All-in-all I'm pleased to have the large military on hand. This would have been very uncomfortable if I'd been sitting at the rival best military. I wonder how the other players are doing with respect to barbs. I also wonder if it's just a coincidence that the barbs suddenly rushed in from all sides at the same time, or if it has something to do with it being turn 50. Speaking of turn 50, this is a nice round number you already have the complete empire view and graphs in the above screenshots so I'll add the demographics screen for the complete T50 update.

   
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I have a trade connection and open borders with scooter now. There's something conspicuously missing from scooter's trade screen eek

   

No copper or horses yikes

   

He has copper mined but no road so this is an intentional delay in copper connection. Is he trying to pump out extra warriors for cheap MP? I feel like getting an improvement or two pillaged by barb axes or spears would cancel out any benefits from cheaper MP. Archer's don't cost much more and that is what I'll be relying on for MP, especially considering that there are so many luxuries available on this map that the MP happiness won't come into play for quite a while. I have a 4th axe incoming now so I'm quite happy to have a real military.

Here are the full graphs:

   

My GNP nosedive is when I completed Mathematics and turned research down to 0% losing the arrow bonus and 15% KTB. I have no immediate need for any tech so I'm going to save gold for a good long while, build libraries, wait for my rivals to increase the KTB.

Scooter researched Iron Working a couple turns ago (note the GNP drop and power spike).

Score is a proxy for population at this stage. Victory screen shows me at 32% of world pop compared to rival best at 23%, meaning I have 40% more pop than the rival best. Mainly that means I'm not whipping right now because when I revolted out of Slavery and into Serfdom I was at 25% and equal to rival best. I'm slow building a couple workers now that I am working all improved tiles. I considered swapping into Slavery to whip the two workers but I'd be whipping off a wine plantation for a couple turns and all my 3 current workers are are all making use of Serfdom bonus so I'd be giving up as many worker turns as I would gain from Slavery. After the workers I'll grow to the happy cap on libraries, then whip a settler or two for the next round of expansion.
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Barbs are rushing my position. I don't know how I'd defend this without horses or Copper. Maybe scooter just has no backlines and is settled right along the coast?

   

   

I have 3 incoming axes. My active chariot in Aether is heavily damaged from killing another axe last turn, and my eastern axe was knocked down to around 30 HP by an archer and has been healing in place for a couple turns. I'm hoping that the northern axe suicides into my hill-axe (about 75% chance that I win) so that my healthy chariot can wheel east and deal with the axe that is headed for the Wines, while my injured chariot can heal up and deal with the axe coming up from the south. Maxwell has hammers into a Phalanx already and can actually 1-turn it in an emergency by working the plains hill. And my 5-turn civics swap cooldown is finished so I can swap to Slavary if things really go south.

So far I've killed 4 axes, 4 archers, and a spear ... and all of that in the last 5 turns because I didn't even see a real barb until they began rushing my borders. I'm still 20k power over rival best so I don't know how they could handle this type of invasion without getting tiles pillaged.
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Only 1 hit when I had a 75% chance of victory rant

   

That hurts. The barb will be able to promo-heal with C1 (or city raider mischief ). I'm now hoping that it suicides into either my C1 axe or fortified archer in the city.
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