TITLE:
Wave Mechanics under the Extreme Conditions of Ultra-High Gravity
AUTHORS:
Sebahattin Tüzemen
KEYWORDS:
Quantum Aspects of Black Holes, Hawking Radiation, Time Quantization, Relativistic Wave Equations, Particle Production around Black Holes
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.2,
April
20,
2026
ABSTRACT: This novel wave mechanics approach under the extreme conditions of ultra-high gravity assumes that spacetime degrades into a single temporal dimension. This framework yields a unique time-dependent wave equation, leading to implications such as possible time quantization with intervals of approximately 3.36 zs, which is in the order of the uncertainty in time,
Δt=1.3 zs
, calculated from the energy-time form of the Heisenberg uncertainty principle for the electron field. As a result, an antisymmetric wave function emerges near the event horizon, indicating that virtual particle-antiparticle pairs split into real components with spin-up and spin-down states. Application of the proposed wave mechanics to zero-mass particles, such as photons, shows that the electromagnetic field vanishes at the event horizon. Furthermore, the Dirac equation confirms real particle-antiparticle emission. The proposed wave equation reduces to the time-dependent Dirac equation in the vicinity of the zero-point,
t=0
, ensuring the consistency of the analysis.