On 22 Oct 2014, at 05:05, LizR wrote:
On 22 October 2014 08:40, Russell Standish <[email protected]>
wrote:
On Tue, Oct 21, 2014 at 11:14:14AM -0400, John Clark wrote:
> On Tue, Oct 21, 2014 at 8:45 AM, Bruno Marchal <[email protected]>
wrote:
> >
> >> So you don't assume the real numbers exist?
> >>
> >
> >
> > Indeed.
> >
>
> Interesting.
>
In Bruno's TOE, real numbers don't exist in the same way as integers,
much in the spirit of Kronecker's famous quote:
http://en.wikipedia.org/wiki/Leopold_Kronecker
Quantum theory would appear to support Kronecker.
I am in a period teaching quantum mechanics (and quantum
computations), and I agree that Quantum theory would support Kronecker
at some level. In fact QM is much more pythagorean than comp, mainly
because it defines the probabilities from Pythagoras theorem. But a
qubit state seems to need arbitrary complex numbers, and I am not sure
we can get rid of them if we assume a real universal wave, even with
gravitation. String theory also gives to real numbers some apparent
importance. (Total open problem in the comp theory, if that needs to
be mentionned. A case exists that some real number appearance exists
in the probabilities of continuations).
Relativity is more concerned with real numbers, not to mention
continua - but I have a feeling that most physicists would bet on QM
as being closer to reality than GR, if pushed.
I think so. I have never seen a serious proposal to change QM (except
the abandon of the collapse 'course, or the adding of non local hidden
variable, but they keep QM, just adds things).
Even without QM, I think GR is an approximation, like Newton physics.
Yet it is amazing how much gravitation is hard to integrate with QM.
Bruno
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