Version 1
: Received: 22 July 2023 / Approved: 26 July 2023 / Online: 27 July 2023 (09:25:06 CEST)
How to cite:
Tüzemen, S. First Quantization Approach Under the Extreme Conditions of Ultra-High Gravity. Preprints2023, 2023071864. https://doi.org/10.20944/preprints202307.1864.v1
Tüzemen, S. First Quantization Approach Under the Extreme Conditions of Ultra-High Gravity. Preprints 2023, 2023071864. https://doi.org/10.20944/preprints202307.1864.v1
Tüzemen, S. First Quantization Approach Under the Extreme Conditions of Ultra-High Gravity. Preprints2023, 2023071864. https://doi.org/10.20944/preprints202307.1864.v1
APA Style
Tüzemen, S. (2023). First Quantization Approach Under the Extreme Conditions of Ultra-High Gravity. Preprints. https://doi.org/10.20944/preprints202307.1864.v1
Chicago/Turabian Style
Tüzemen, S. 2023 "First Quantization Approach Under the Extreme Conditions of Ultra-High Gravity" Preprints. https://doi.org/10.20944/preprints202307.1864.v1
Abstract
Novel approaches under the extreme conditions of ultra-high gravity of a super massive black hole allow us to assume that the spacetime degrades into the single dimension of time. A unique interpretation of the non-relativistic Schrödinger equation together with the relativistic Klein-Gordon and Dirac equations is presented by swapping the three dimensional space derivatives with the singular time derivative in the D’Alembertian operator. This apparatus reveals a unique time dependent wave equation that results in some implications such as possible time quantization with the intervals of around 3.36 × 10−21 ? which is in the order of uncertainty in time, ∆? = 1.3 × 10−21 ?, calculated from the energy-time version of the Heisenberg uncertainty principle for electrons. As a result of this, an antisymmetric wave function around the edge of the event-horizon zone appears and indicates that the virtual particle-antiparticle pairs of the electron field split into two real components with the spin-up and down states, reconfirming the Hawking radiation. Energy eigenvalues calculated from the application of the Dirac equation satisfies the preservation of energy and charge. The wave equation invoked in this study reduces into the time dependent Dirac equation within the neighborhood of zero-point, ? = 0, insuring the relevance of the evaluations.
Keywords
Quantum aspects of black holes; Hawking radiation; time quantization; relativistic wave equations; particle production around black holes
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
