Relativistic Quantum-Classical Frontiers
The author of this monograph proposes a simple correction for the relativistic quantum mechanics estimate of the energy density of the vacuum. The quantum mechanics vacuum has energy; therefore, it has a mass associated with it. If we consider the quantum vacuum a quantum object with mass, then we could extrapolate to the vacuum the results obtained previously for any free quantum object with mass, i.e., the mass of the quantum vacuum must be smaller than the Planck mass. The vacuum is not a quantum vacuum but a classical vacuum when its mass surpasses the Planck mass. There is nothing in the classical vacuum. This explains the extremely low observational value of the dark energy density. Assuming that the energy of the quantum vacuum is the nature of dark energy, and using the observational value of it, we obtain 1000 km as a crude estimate of the maximum radius of the quantum vacuum.
Sample Chapter(s)
eBook (3874 KB)
Components of the Book:
  • About the Author
  • Introduction
  • Chapter 1. The Simplest Model of a Spatially Confined Quantum Particle
  • Chapter 2. The Simplest Model of a Spatially Confined Relativistic Quantum Particle
  • Chapter 3. A Relativistic Quantum Particle Could Interact with Itself
  • Chapter 4. Breaking the Particle-Antiparticle Symmetry
  • Chapter 5. Dark Energy and Cosmological Constant
  • References
  • Annex 1. Classical Fields and the Existence of Quantum-Classical Frontiers
  • Annex 2. Discussions with Grok, the Artificial Intelligence of xAI and X
Readership: Students, academics, teachers, and other people attending or interested in Relativistic Quantum.
1
About the Author
Luis Grave de Peralta
PDF (20 KB)
1
Introduction
Luis Grave de Peralta
PDF (72 KB)
7
Chapter 1. The Simplest Model of a Spatially Confined Quantum Particle
Luis Grave de Peralta
PDF (186 KB)
13
Chapter 2. The Simplest Model of a Spatially Confined Relativistic Quantum Particle
Luis Grave de Peralta
PDF (260 KB)
29
Chapter 3. A Relativistic Quantum Particle Could Interact with Itself
Luis Grave de Peralta
PDF (351 KB)
39
Chapter 4. Breaking the Particle-Antiparticle Symmetry
Luis Grave de Peralta
PDF (141 KB)
45
Chapter 5. Dark Energy and Cosmological Constant
Luis Grave de Peralta
PDF (123 KB)
49
References
Luis Grave de Peralta
PDF (50 KB)
51
Annex 1. Classical Fields and the Existence of Quantum-Classical Frontiers
Luis Grave de Peralta
PDF (397 KB)
69
Annex 2. Discussions with Grok, the Artificial Intelligence of xAI and X
Luis Grave de Peralta
PDF (212 KB)
Luis Grave de Peralta
He was born in 1957 in Holguin, Cuba. Grave graduated with a master’s in physics in 1982 at the Oriente University, Santiago de Cuba, Cuba. He was a professor in the department of Physics at the Oriente University up to 1990, when he was expelled from his position after resigning from the Cuban Communist Party.

Copyright © 2006-2026 Scientific Research Publishing Inc. All Rights Reserved.
Top