Breakdown of Einstein's equivalence principle /

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Bibliographic Details
Imprint:Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2023]
Description:1 online resource ( xvii, 182 pages) : illustrations
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12936144
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Other authors / contributors:Lebed, A. G. (Andrei G.), editor.
ISBN:9811253595
9789811253591
Notes:Includes bibliographical references.
Description based on online resource; title from digital title page (viewed on November 23, 2022).
Other form:Print version: Lebed, Andrei G Breakdown Of Einstein's Equivalence Principle Singapore : World Scientific Publishing Company,c2022 9789811253584
Table of Contents:
  • Intro
  • Contents
  • Preface
  • 1. Breakdown of the Einstein's Equivalence Principle for a Quantum Body
  • 1. Introduction
  • 2. Goal
  • 3. Inequivalence Between Passive Gravitational Mass and Energy at a Microscopic Level (Method-1)
  • 3.1. Electron wave function in a hydrogen atom with a definite energy in the absence of gravitational field
  • 3.2. Electron wave functions in a hydrogen atom in the presence of gravitational field
  • 3.3. Probabilities and amplitudes
  • 4. Inequivalence Between Passive Gravitational Mass and Energy at a Microscopic Level (Method-2)
  • 4.1. Schrödinger equation with a definite energy in the absence of gravitational field
  • 4.2. Schrödinger equation in the presence of gravitational field
  • 4.2.1. More general Lagrangian
  • 4.2.2. More general Hamiltonian
  • 4.3. Gravitational field as a perturbation to the Hamiltonian
  • 4.4. Some experimental aspects
  • 5. Einstein's Equivalence Principle for the Stationary Quantum States at a Macroscopic Level
  • 5.1. Non-relativistic hydrogen atom
  • 5.2. Relativistic corrections to a hydrogen atom
  • 6. Inequivalence Between Passive Gravitational Mass and Energy at a Macroscopic Level for the Gravitational Demons (Method-1)
  • 7. Inequivalence Between Passive Gravitational Mass and Energy at a Macroscopic Level for the Gravitational Demons (Method-2)
  • 7.1. Some experimental aspects
  • 8. Inequivalence Between Active Gravitational Mass and Energy at a Macroscopic Level for the Gravitational Demons
  • 8.1. Active gravitational mass in classical physics
  • 8.2. Active gravitational mass in quantum physics
  • 8.2.1. Equivalence of the expectation values of active gravitational mass and energy for stationary quantum states
  • 8.2.2. Inequivalence between active gravitational mass and energy for Gravitational demons
  • 8.3. Some experimental aspects
  • Acknowledgments
  • References
  • 2. Probing Unruh Radiation and the Equivalence Principle with Unruh-DeWitt Detectors
  • 1. Unruh-Dewitt Detector
  • 2. Unruh Effect
  • 2.1. Motion with constant velocity
  • 2.2. Motion with constant linear acceleration
  • 2.3. Motion with constant circular acceleration
  • 3. Sokolov-Ternov Effect with Arbitrary Gyromagnetic Number and Unruh Effect
  • 3.1. Synchrotron radiation due to the electric charge
  • 3.2. Synchrotron radiation due to spin flip
  • 4. The Equivalence Principle
  • 4.1. Minkowski space-time
  • 4.2. Rindler space-time
  • 4.3. Schwarzschild space-time
  • 4.4. Mach's principle, equivalence principle, and gravity
  • 4.5. Thermal Mach's principle
  • 5. Summary and Conclusions
  • Acknowledgments
  • References
  • 3. Gravity at Finite Temperature, Equivalence Principle, and Local Lorentz Invariance
  • 1. Introduction
  • 2. Non-geodesic Motion of Test Particles at Finite Temperature.