A glance beyond the quantum model

[yoda jedi]

dear Peter Morgan, you missed another approach inspired to the Elze's idea of stroboscopic quantization, to the 't Hooft's idea of particles moving fast in a circle and which inspired your friend Wharton's work on the Hamiltonian's principle. Maybe it requires a little bit of conceptual effort. Or maybe it doesn't involve assumptions compatible with the Star-Trak fiction. Or maybe it doesn't need to involve the Planck scale, nor hidden variables, nor many universes. Or maybe it reproduces exactly the canonical and the Feynman formulation of quantum mechanics without involving any conjecture but only through rigorous mathematical demonstrations. Maybe the solution to the problematics of quantum mechanics are given by a simple and unexplored assumption that put all the pieces in the right place. To have a more complete vision of the possibilities beyond quantum mechanics you should try to really understand the following two papers: [B][PLAIN]http://arxiv.org/abs/1001.2718[/B][/url] and http://arxiv.org/abs/0903.3680 .

Wild Card Mr. halcion, Cogratulations !

that work was presented at
The 10th Symposium on the
Frontiers of Fundamental Physics.
School of Physics, The University of Western Australia
24th – 26th November 2009





------------------------
apart, there is a paper,that i can not find.
Field theory in compact space-time — Donatello Dolce —

The assumption of compact space-time dimensions for ordinary relativistic fields gives remarkable overlaps with the ordinary quantum theory. Formal, phenomenological and conceptual consequences of such assumption are briefly discussed.

 

[strangerep]

Why would I want to go away when you say such interesting things?

Really? That's the nicest thing anyone's said to me in quite a while. (Sad, huh?)

[...coherent states...] [...triangular decomposition...]

[...] Do you have a reference, or perhaps this will be in the Neumaier & Westra,
which I haven't looked at yet?

The basic stuff is in Neumaier & Westra, but is kinda spread out in various places.
The triangular decomposition concept is not difficult though. You could try this classic
review paper:

Zhang, Feng, Gilmore, "Coherent states: Theory and some applications",
Rev Mod Phys, vol 62, no 4, pp867-927, (1990)

It probably won't be at all obvious though why I mentioned this stuff
in the current context of algebras and probability. If so, feel free to bug
me again later.

I've requested [Dirac's "Lectures of QFT"] from the Yale library. From my point of view, the Heisenberg picture is much more appropriate, given that the state is timeless (formally, as a mathematical model, without metaphysical commitment, at least from me). I definitely want to see Dirac's argument.

If you have online journal access, you can get the basic idea from Dirac's
"QED without dead wood" paper. His "Lectures of QFT" are essentially an
elaboration of the ideas in that paper.

I'm not clear whether you mean to introduce a particular kind of structure for foo,
or whether you mean that you want to sidestep this type of approach to deforming the Hamiltonian?

I'm not clear about it either. :-)

From my block world point of view, the complete structure of an interacting field is specified by the inner product on the function space, by the Lie field structure functional, and by the vacuum state. The Hamiltonian is then a derived structure, by the introduction of active transformations, instead of being fundamental, so the issue you mention doesn't come up in the same way.

Sure, once one has the (non-perturbative) algebra of the interacting fields,
one has almost everything.

 

[Halcyon-on]

Wild Card Mr. halcion, Cogratulations !

that work was presented at
The 10th Symposium on the
Frontiers of Fundamental Physics.
School of Physics, The University of Western Australia
24th – 26th November 2009





------------------------
apart, there is a paper,that i can not find.
Field theory in compact space-time — Donatello Dolce —

The assumption of compact space-time dimensions for ordinary relativistic fields gives remarkable overlaps with the ordinary quantum theory. Formal, phenomenological and conceptual consequences of such assumption are briefly discussed.

I have no idea. The only papers I know are those above. The first one is an original and very long paper (not yet published on a journal, but I can imagine why). The second is a concise talk given in Sweden (QTRF5). I think he has impressing results and intriguing philosophical implications, which would be very interesting to discuss.