Authors: Olayode Olalekan Babatunde
We present a unified theoretical framework that connects black holes, dark matter, and dark energy through quantum gravity. By hypothesizing that the speed of light is quantized, we show that particles at the event horizon can reach velocities up to twice the speed of light, leading to significant increases in energy. This mechanism allows a spin-zero particle to decay into an electron—positron pair and Extending this framework, we demonstrated that photons can also reach energies at which they become unstable and decay into spin-half particle—antiparticle pairs. We relate the stress-energy scalar tensor to discrete speeds and demonstrate that the vacuum expectation value of the cosmological constant determines the energy scale of these processes. Electric charge is defined in terms of occupation number and azimuthal quantum number, naturally yielding neutral spin-zero states and charged spin-half states. We further explore entropy and area relationships at the event horizon, showing that entanglement entropy exhibits logarithmic growth for early times radiation and decreases at late times, consistent with the Page curve. Finally, we discuss particle annihilation within the horizon which nullify the existence of Hawking radiation. This framework provides a potential bridge between general relativity and quantum mechanics, offering new insights into black hole thermodynamics and quantum gravity phenomenology.
Comments: 12 Pages.
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