On 1/24/2014 2:58 PM, Russell Standish wrote:
On Fri, Jan 24, 2014 at 02:12:57PM -0800, meekerdb wrote:
You mention that you think octonion Hilbert space will be found to
be more fundamental than complex Hilbert space. Of course many
people have speculated that quaternions or octonions will be more
fundamental, but nothing definite has been predicted. So if comp
showed that the octonions were necessary that would be quite
convincing.
Indeed - with my derivation of QM, octonions, or more general measure
are preferred over the complex. Which naturally leads to the question
of why complex. Either octonions make no empirical difference, or a
reason will be found why commutativity of the measure is necessary,
Measurements in standard QM is not generally commutative. You mean
associativity?
Baez and Heurta have written several papers on the relation of the four division algebras
to physics. http://arxiv.org/pdf/0909.0551v2.pdf
Brent
or
some experiment will be devised showing that complex number QM (ie
standard QM) is empirically wrong. Any of these three options would be
fascinating!
Cheers
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