1Truthseeker said:
To make clear what I mean by a field of maximum entropy, I will define it mathematically: for any dimension of an n-dimensional field of maximum entropy, let there be an hyperplane that extends along that dimension infinitely in every direction. Time is not treated as a special case, but as an dimension...In plain sense, I am describing a system in equilibrium.
Aha. That's my kind of thinking.
But where I would differ is in trying to be even more general here. I think you are imagining a static realm - time being just one of the n-dimensions. I would assume a dynamic view in which things expand in some equilibrium fashion. To prevent expansion, there would have to be some further constraints applied.
So truly max-ent (that is a fairly common phrase I think) would involve maximum disorder in time as well as space. Which is then going to be associated with a powerlaw statistics (rather than gaussian, as with an ideal gas trapped statically in a container for instance). So we would be talking Renyi, Tsallis and others taking a non-extensive approach to entropy. Perhaps i/f noise in the way events occur chaotically over a time dimension.
I'm not sure how this would map to your hyperplane notion - though it might turn it conformal perhaps! I don't know.
1Truthseeker said:
I will not decry your views; however, I will say that it is possible to absolutely and objectively quantify something (with the technological means) as existing or not if it can be quantified as a perturbation of a field of maximum entropy.
I agree I think. Max-ent is a limit (whether we take the static or dynamic case). And it is a naturally self-organising concept. So it is naturally persistent - equilibrium is by definition what is most likely to exist, if anything exists. Then local deviations from equilbriun will be distinctive as events (if brief departures) and objects (if enduring departures),
We can then yoke this to Prigogine style dissipative structure thinking. Negentropy as you say. This accounts for locally persisting structure such as solitons and quasiparticles - the order that arises on the back of disorder (for a time).
1Truthseeker said:
Thus, we can use this model to presuppose fundamental point-particles and help us argue the fine points of any interpretation of QM. Let us work on the central issue of whether or not fundamental particles in a coherent state exist somewhere. I reason that they must, or they violate the most fundamental logical precepts of truth; which is that spontaneous deviation of maxent is work, and work requires energy. Not the standard model, not any of the wildest dreams of theoretical physics, can ignore the reasoning of the laws of conservation of matter and energy.
This is then a critical problem you get to with the condensed matter approach. Why do electrons and protons persist probably "forever"?
One answer, from the open systems approach, is that they would have to be supplied with a continuous throughput of sustaining energy in some way, like ordinary solitons.
But another possibility is - I think - that they are locked into the fabric of things because spacetime expands. So they are the product of a different kind of open system. Instead of being a static system kept alive by energy throughput, they are knots in the fabric that cannot fall apart because the fabric keeps expanding (and cooling).
This may be quite wrong as the explanation, but I think you are highlighting a core problem with taking a condensate approach (as Wilzcek calls it).
1Truthseeker said:
For two QM systems, regardless of being fermion, quark, or boson, what I have heard from many proponents of the present mainstream is that they reason that a QM system spontaneously has order, and thus is detectable and knowable, only after decoherence. And that while coherent, the system is said to be undetermined, and not yet manifest, but (un-)exists as a potential, a probability, which allows for the strangeness we observe.
I argue that the strangeness is not the result of an (un-)reality, but from a possible misinterpretation of the available data. I say this very great, great caution, as I respect the work of those that came before me with the greatest of approbation, but I must concede that if anything violates the common sense of entropy that we are likely in error.
There may be an alternative explanation that isn't hidden variables, but another fundamental layer to reality we have yet to uncover, which isn't necessarily another dimension or another reality, but perhaps just a deeper truth.
Thoughts?
Here we get back to the OP. And now I think we need to accept the reality of QM non-locality. The arguments over twin slits and Bell's inequality have persuaded me in the past and I've not yet heard anything that allows us to dismiss them as proof non-locality is a fact. Of course, all is modelling. But I would personally still put non-locality as something existing "out there".
What this would mean is that a condensed matter/soliton approach to problem of the persistence of particles would need to be married to a non-local interpretation of the existence of spacetime generally.
So the fabric would arise (as an equilibrium causal realm with strongly local properties) from the deeper reality of a local~non-local decoherence machinery. Particles would then be knots in that equilibrium fabric.
I think that one of the things no one talks about is how limited non-locality appears to be. To me, it seems that non-locality is all about the freedoms that gets suppressed by the self-organisation of space time. Get rid of all non-locality (dissipate it!) and things become cleanly local. Only the faintest residue of weirdness is left (such as Bell's inequalities).
This is a thermo or systems view of QM. And extension to the trend already started with decoherence approaches.
I guess this would be the next revolution. Mind science and life science have already begun a rapid reduction to thermo principles over the past 30 years. You have Prigogine's dissipative structures, Brier's biosemiotics, Salthe's specification hierarchy, Kay/Schneider's entropy degraders, Swenson's maximum entropy principle - a whole bunch of ways of saying much the same thing, of reducing bios to a thermodynamic basis.
And the same would seem to be occurring in physics (if people would let it). We have Laughin, Wen and others trying to bring in condensed matter approaches to particle physics. There is all the black hole, holographic horizon, stuff in GR. There is decoherence in QM.
This is how I am seeing the bigger picture anyway.