Generalized uncertainty relations, fundamental length, density matrix and new view on the black holes information paradox
Year: 2002
Type: preprint
Abstract: It was shown that if in Quantum Theory a fundamental length exists, then in this case there is not pure states. It was noted, that theory satisfying General Uncertainty Relations (GUR) are related to the mentioned above theories. Moreover, the density matrix at the Planck scale can not be defined in the usual way, because in this case the density matrix trace is strongly less than 1. Then density matrix must be changed by its progenitrix or as we call it density pro-matrix, which at low energy limit turns to the density matrix. This transition corresponds to non-unitary one from Quantum Mechanics with GUR to Quantum mechanics. Below the implications of obtained results are enumerated. A new view on the Black Holes Information Paradox are discussed.
Source: arXiv (Cornell University)
Authors: A.E. Shalyt-Margolin, A. Ya. Tregubovich
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2271575196