Minimal Length, Measurability and Gravity

2016/03/02 by Alexander Shalyt-Margolin, A. E. Shalyt-Margolin
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.3390/e18030080

published as Entropy 2016, 18(3), 80 · 34 pages, Latex

openalex publication_date 2016/03/02 · arxiv created 2016/03/03 · arxiv updated 2016/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The present work is a continuation of the previous papers written by the author on the subject. In terms of the measurability (or measurable quantities) notion introduced in a minimal length theory, first the consideration is given to a quantum theory in the momentum representation. The same terms are used to consider the Markov gravity model that here illustrates the general approach to studies of gravity in terms of measurable quantities. This paper is dedicated to the 75th Anniversary of Professor Vladimir Grigor'evich Baryshevsky.

Citations

• Relativistic Quantum Theory
• Quantum Mechanics of the Early Universe and its Limiting Transition
• The algebraic structure of the generalized uncertainty principle
• NON-UNITARY AND UNITARY TRANSITIONS IN GENERALIZED QUANTUM MECHANICS, NEW SMALL PARAMETER AND INFORMATION PROBLEM SOLVING
• Thermodynamics of a black hole based on a generalized uncertainty principle
• �ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
• PURE STATES, MIXED STATES AND HAWKING PROBLEM IN GENERALIZED QUANTUM MECHANICS