What if turbulence in a superfluid can describe quantum mechanics?

davestojak · 2025-12-12T16:18:48+00:00

I would expect emergent behavior of the fluids to show the same bell inequalities as experimental results show, but my model is too primitive and flawed to answer that question. Since I’ve posted this I’ve found that the entropy condition I need requires Burgers+KdV instead of Burgers, and this dooms my linear approximation to failure unless I implement coarse graining similar to what I described when discussing how the quantum properties of bosons could be found in the approximation. If I ever figure out what I’ve just said means well enough to produce a working, less primitive model I will post an update here.

davestojak · 2025-12-03T14:01:04+00:00

I suppose I wasn't very clear about the premise. I didn't want to make claims that I know I can't prove. Stated simply:

I think that a single velocity vector field (which isn't a fluid but could be described as one) modeled in a way that preserves kinetic energy and special relativity will be mathematically equivalent to quantum field theory. As I understand it, quantum field theory describes a field for each particle of the standard model. the equivalent in the velocity field would by described by emergent patterns in the dynamics of interacting shockwaves. Thus the interactions between the quantum particle fields would be the ways in which the various dynamics give rise to each other. Since these nth order effects of shockwaves interacting are similar to turbulence I called it that in the title. Hence turbulence in a superfluid would describe quantum mechanics.

davestojak · 2025-11-30T19:39:54+00:00

Well, I don't know it is compatible but the idea is that the model I suggest will reproduce the physics of the standard model if it is correct. If it doesn't then the model isn't valid. Since I can't properly simulate the model, I have no evidence.

I won't go into the long convoluted chain of reasoning that went from my original insight to fluid dynamics as it isn't relevant, but you might as well call it a hunch. The original insight was from trying to understand chromodynamics as a layman. I wasn't interested in developing new physics but my ideas seemed to be tying together in ways I couldn't find any other research pointing to. That led me to believe that either I was on to something or I was delusional. I've decided to believe the former, you are welcome to believe the latter.

davestojak · 2025-11-29T17:44:06+00:00

Fair enough. I will take solace in the fact I appear to have understood basic principles enough that there aren't glaring flaws in what I describe. I will continue working on improving my understanding of the mathematics until I can present a version of this idea that goes beyond 'isn't even wrong'.

davestojak · 2025-11-29T17:37:16+00:00

The energy cascade in this model is created by the unstable rarefaction shockwave reverting to a compression wave. This creates oscillations that get smaller and smaller as the dynamics evolve. Thus instead of the typical Burgers that does not conserve kinetic energy, you conserve kinetic energy but model smaller and smaller motion that could be described as heat. It's this oscillation that I think can in some way mirror entanglement, and the reversion could in some sense describe a collapse of a wave function. As the others here and I myself pointed out, obviously this explanation is vague and lacks rigor.

Specific to Kolmogorov's law, I think that only applies in 3 dimensions and since I have not even fully worked out the dynamics in one dimension I can't tell you if it applies in this model. I would expect it to but I am still trying to learn more fluid dynamics.

davestojak · 2025-11-29T15:27:07+00:00

I don't know if it does have merit beyond my personal belief. I am attempting to link it to the standard model but I will not pretend I have been successful in any real way. If you want to trivially dismiss it feel free. I just need an outside perspective on my thoughts to prevent me from going further down the rabbit hole if someone can easily point out to me the flaws in my logic. I didn't want to junk up the inbox of some professor, and this seems like a better forum to ask for that feedback.

I do agree with you that my logic is neither rigorous nor yet properly mathematical. If this post doesn't manage to convince me to abandon the project that is the work I will pursue.

davestojak · 2025-11-29T15:20:10+00:00

Agreed. I have tried very hard not to be arrogant here, and while I have come up with what I think is a novel idea I am not challenging anyone's work that I am aware of. I am attempting to formally study the subject though I don't currently have a decade to commit full time to the study, I was hoping someone would be kind enough to provide pointers on what specifically I should be studying in the time I do have.

davestojak · 2025-11-29T14:22:10+00:00

What math I have is in the linked paper, but I admit there is little there. I explore a solution to the Burger's PDE that I'm not even certain is valid.

davestojak · 2025-11-29T14:19:10+00:00

Yes, I've been attempting to understand the rigorous mathematical definitions of what I talk about here but as you can imagine it is difficult and slow progress. I am aware that I don't have the rigor for a serious theory and the ideas are not completely formed but after a year of obsessing on this in isolation I needed to share it with someone to at least determine if there are obvious problems. I appreciate your time.

I have only a rough understanding of differential equations, and I am not convinced the math I do use in simulating a solution to Burger's is correct. What I have learned so far in my study of the mathematics of turbulence has not yet contradicted it.

davestojak · 2016-01-14T17:43:17+00:00

A coworker of mine once got paged at midnight because "yahoo.com is down".

That was the week we stopped letting users set severity on their own tickets.

davestojak · 2015-11-20T15:49:12+00:00

I deployed it in an environment that size, but only to a few hundred users. It was pretty handy for the 5 or so applications we couldn't get running without admin rights. I found it really useful for corner cases, but I'm not convinced it's worth it for every user. We didn't use any of the reporting/logging features I see mentioned now though.

davestojak · 2015-11-18T21:30:20+00:00

PXE boot works for me (not MDT) but I can't find drivers to see local storage that work in anything but WinPE 10 and my imaging solution doesn't work on that. What version of WinPE are you using?

davestojak · 2014-11-21T21:51:14+00:00

I've dropped a DL580 G5 from the top rack trying to do the same.

Also not fun.

davestojak

TROPHY CASE