Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework

Details Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework

2011-09-23

arxiv.org/abs/1109.5035v1

Physics

Quantum Physics

10 pages, LaTeX, spie.cls, Submitted to Proc. of SPIE Meeting, The Nature of Light: What are Photons? IV, San Diego, CA, Augus

Scientific paper

We consider some generalization of the theory of quantum states, which is based on the analysis of long standing problems and unsatisfactory situation with the possible interpretations of quantum mechanics. We demonstrate that the consideration of quantum states as sheaves can provide, in principle, more deep understanding of some phenomena. The key ingredients of the proposed construction are the families of sections of sheaves with values in the category of the functional realizations of infinite-dimensional Hilbert spaces with special (multiscale) filtration. Three different symmetries, kinematical (on space-time), hidden/dynamical (on sections of sheaves), unified (on filtration of the full scale of spaces) are generic objects generating the full zoo of quantum phenomena (e.g., faster than light propagation).

Affiliated with

Also associated with

No associations

Rating

Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum points/patterns, Part 1. From geometrical points to quantum points in a sheaf framework will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724180