Schrodinger theory of black holes

• URL: http://arxiv.org/abs/2012.08967v3
• Date: Tue, 18 Jul 2023 09:36:26 GMT
• Title: Schrodinger theory of black holes
• Authors: Christian Corda
• Abstract summary: The Schrodinger equation of the Schwarzschild black hole (SBH) is derived via Feynman's path integral approach. The traditional classical singularity in the core of the SBH is replaced by a nonsingular two-particle system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Schrodinger equation of the Schwarzschild black hole (SBH) is derived via Feynman's path integral approach by re-obtaining the same results found by the Author and collaborators in two recent research papers. In this two-particle system approach to BH quantum physics the traditional classical singularity in the core of the SBH is replaced by a nonsingular two-particle system where the two components, the "nucleus" and the "electron", strongly interact with each other through a quantum gravitational interaction. In other words, the SBH is the gravitational analog of the hydrogen atom and this could, in principle, drive to a space-time quantization based on a quantum mechanical particle approach. By following with caution the analogy between this SBH Schrodinger equation and the traditional Schrodinger equation of the s states (l=0) of the hydrogen atom, the SBH Schrodinger equation can be solved and discussed. The approach also permits us to find the quantum gravitational quantities which are the gravitational analogous of the fine structure constant and of the Rydberg constant. Remarkably, such quantities are not constants. Instead, they are dynamical quantities having well defined discrete spectra. In particular, the spectrum of the "gravitational fine structure constant" is exactly the set of non-zero natural numbers \mathbb{N}-\left\{ 0\right\} . Therefore, one argues the interesting consequence that the SBH results in a well defined quantum gravitational system, which obeys Schrodinger's theory: the "gravitational hydrogen atom".

Related papers

• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Schr\"odinger and Klein-Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse [0.0]
  The Schr"odinger equation of the Schwarzschild black hole (BH) shows that a BH is composed of a particle, the "electron", interacting with a central field, the "nucleus" The analogy between this BH Schr"odinger equation and the Schr"odinger equation of the s states of the hydrogen atom permits us to solve the same equation. BHs are well defined quantum gravitational systems obeying Schr"odinger's theory: the "gravitational hydrogen atoms"
  arXiv  Detail & Related papers  (2023-07-09T12:51:03Z)
• Double-scale theory [77.34726150561087]
  We present a new interpretation of quantum mechanics, called the double-scale theory. It is based on the simultaneous existence of two wave functions in the laboratory reference frame. The external wave function corresponds to a field that pilots the center-of-mass of the quantum system. The internal wave function corresponds to the interpretation proposed by Edwin Schr"odinger.
  arXiv  Detail & Related papers  (2023-05-29T14:28:31Z)
• Path integral in position-deformed Heisenberg algebra with strong quantum gravitational measurement [0.0]
  We show that quantum gravity bends the paths of particles, allowing them to travel quickly from one point to another. It is numerically observed by the decrease in values of classical actions as one increases the quantum gravitational effects.
  arXiv  Detail & Related papers  (2022-04-29T14:21:30Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• The energy level structure of the modified Schrodinger equation can be consistent with Lamb shift [3.15463184697502]
  In the literature of calculating atomic and molecular structures, most Schrodinger equations are described by Coulomb potential. In fact, the calculation accuracy of these Schrodinger equations is not consistent with Lamb shift. In the traditional ab initio calculation of quantum mechanics, it is common and necessary to use Dirac theory or quantum electrodynamics to correct the energy level of Schrodinger equation.
  arXiv  Detail & Related papers  (2022-01-25T08:42:43Z)
• Bound on Quantum Fluctuations in Gravitational Waves from LIGO [0.0]
  We derive some of the central equations governing quantum fluctuations in gravitational waves. We make use of general relativity as a sensible effective quantum theory at large distances.
  arXiv  Detail & Related papers  (2021-12-22T19:00:03Z)
• The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
  It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
  arXiv  Detail & Related papers  (2021-01-04T16:09:10Z)
• Quantum manifestations of homogeneous and inhomogeneous oscillation suppression states [10.582441516469856]
  Inhomogeneous oscillation suppression state (or the oscillation death state) does not occur in the classical limit. In the deep quantum regime we discover an oscillation death-like state which is manifested in the phase space through the symmetry-breaking bifurcation of Wigner function. Our results hint towards the possibility of the transition from quantum amplitude death to oscillation death state through the "quantum" Turing-type bifurcation.
  arXiv  Detail & Related papers  (2020-09-21T17:20:29Z)
• On the quantization of the extremal Reissner-Nordstrom black hole [0.0]
  We calculate the gravitational potential, the Schr"odinger equation and the exact solutions of the energy levels of the gravitational collapse. By using the concept of BH effective state, we describe the quantum gravitational potential, the mass spectrum and the energy spectrum for the extremal RNBH.
  arXiv  Detail & Related papers  (2020-03-11T07:18:52Z)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.