Quotient Construction of 't Hooft's Quantum Equivalence Classes
| dc.creator | Liu, C. P. Sun X. F. | |
| dc.creator | Yu, S. X. | |
| dc.date | 2000-06-15 | |
| dc.date.accessioned | 2026-07-07T04:09:58Z | |
| dc.date.available | 2026-07-07T04:09:58Z | |
| dc.description | Most recently 't Hooft has postulated (G 't Hooft, Class. Quant. Grav. 16 (1999) 3263-3279) 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 re-formulate '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 periodic or the time is discrete. We also give a novel illustration that the Fock space of quantum oscillator could follow from the quotient space construction for certain primordial states obeying non-reversible evolution governed by a non-Hermitian Hamiltonian. | |
| dc.description | Latex file, 11 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/0006105 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0006105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50063 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Physics | |
| dc.title | Quotient Construction of 't Hooft's Quantum Equivalence Classes | |
| dc.type | text |