Rosé and A-M: Geometrization of Quantum Mechanics

[Mike2]

OK... so... where there is acceleration, there is an Unruh temperature (for the accelerated observer) and with it an energy density and thus a mass density (for the accelerated observer) and thus a curvature according to your approach, right?

As I understand it, Torsten's efforts only apply to fermions, particles of mass. But I don't understand why it can not apply to bosons as well. Since photons have energy and energy can be equated to mass, what's the difference? What is the key point that restricts Torsten's efforts to fermions? Is it the "support" of a singularity? Thanks.

 

[torsten]

As I understand it, Torsten's efforts only apply to fermions, particles of mass. But I don't understand why it can not apply to bosons as well. Since photons have energy and energy can be equated to mass, what's the difference? What is the key point that restricts Torsten's efforts to fermions? Is it the "support" of a singularity? Thanks.

Dear Mike,

sorry for the long time to answer your question but I was ill again.
Your question is correct and in the current version of the paper we can only state that we get fermions. But more is true...
Consieder a 3-manifold with boundary. If the boundary consists of a single compact surface we get the properties of a fermion. But if the boundary is the connected sum of two surfaces or more then we will get the properties of the bosons. Thus our approach is similar to the Crane approach via conical singularities (see gr-qc/0110060 and gr-qc/0306079).

I hope that helps.

Torsten