Re: Open poll on "What changes for special and general relativity?"



On Tue, 20 Nov 2007 07:06:45 +0000 (UTC), "Juan R."
<juanrgonzaleza@xxxxxxxxxxxxxxxxxxxx> wrote:


What changes for special and general relativity?:


1) Spacetime is not 4D.

I see spacetime as a concept used to model 3 dimensions of space and
one of time.


2) Spacetime is not a continuum.

I don't know of any experiment that illustrates non-continuity of
space or time.

However since quantum particles follow paths that are not
differentiable, it might be reasonable to assume that spacetime is
continuous but not differentiable at the quantum scale.

The following paper shows how such an assumption allows derivation of
the Schrödinger equation.

Scale calculus and the Schrödinger equation
Jacky Cresson
J. Math. Phys. -- November 2003 -- Volume 44, Issue 11, pp. 4907-4938
Preprint
http://arxiv.org/abs/math/0211071

The following experiment found that free falling neutrons exhibit
quantum states. I guess that could imply that the neutrons were
following geodesics that were non-differentiable as well as curved,
rather than merely curved as described by GR.

A quantum mechanical description of the experiment on the observation
of gravitationally bound states
http://arxiv.org/abs/hep-ph/0602093

Regards.
Surfer

.



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