We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Algebraic Construction of 't Hooft's Quantum Equivalence Classes.
- Authors
Sun, C. P.; Liu, X. F.; Yu, S. X.
- Abstract
Most recently 't Hooft has postulated (G. 't Hooft, Class. Quantum Gray. 16, 3263 (1999)) that quantum states at the "atomic scale" can be understood as equivalence classes of primordial states governed by a dissipative deterministic theory underlying quantum theory at the "Planck scale". Defining invariant subspaces clearly for primordial states according to a given evolution, we mathematically reformulate 't Hooft's theory as a quotient space construction with the time-reversible evolution operator induced naturally. With this observation and some analysis, 't Hooft's theory is generalized beyond his case where the evolution at the "Planck scale" is a power of a one-time-step evolution or the time is discrete.
- Subjects
QUANTUM theory; INVARIANT subspaces
- Publication
Modern Physics Letters A, 2001, Vol 16, Issue 2, p75
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732301002869