Internal mathematics of topoi in GR and QM


(A part of) My paper "GR-friendly description of quantum systems"
(IJTP, DOI 10.1007/s10773-007-9474-3,
http://www.springerlink.com/content/w3175m02836610t4/?p=e2f0a2261a4248e69cdb5eb78668af77&pi=2
) may be of interest to topos practitioners.
It is also available at http://members.cox.net/vtrifonov/ (PDF).
Abstract:
We present an axiomatic modification of quantum mechanics with a
possible worlds semantics capable of predicting essential "nonquantum"
features of an observable universe model-the topology and
dimensionality of spacetime, the existence, the signature and a
specific form of a metric on it, and a set of naturally preferred
directions (vistas) in spacetime unrelated to its metric properties.
.

Relevant Pages

  • Observer-experient in physics
    ... My paper "GR-friendly description of quantum systems" ... dimensionality of spacetime, the existence, the signature and a ... directions in spacetime unrelated to its metric properties. ...
    (comp.ai.philosophy)
  • GR-friendly Quantum Mechanics
    ... My paper "GR-friendly description of quantum systems" ... may be of interest to both theoretical and experimental physicists. ... directions in spacetime unrelated to its metric properties. ...
    (sci.physics.research)