FRW cosmological model inside an isolated Schwarzschild black hole
C. Ortiz, J.J. Rosales, J. Socorro, V. I. Tkach
TL;DR
This paper establishes a quantum correspondence between the interior of a Schwarzschild black hole and an FRW cosmological model, revealing a quantized mass universe described by harmonic oscillator wave functions.
Contribution
It introduces a novel quantum framework linking black hole interiors with cosmological models using harmonic oscillator eigenstates.
Findings
Universe has quantized mass near the Planck scale
Interior black hole universe described by harmonic oscillator wave functions
Provides a quantum perspective on black hole cosmology
Abstract
Using the canonical quantum theory of spherically symmetric pure gravitational systems, we present a direct correspondence between the Friedmann-Robertson-Walker (FRW) cosmological model in the interior of a Schwarzschild black hole and the nth energy eigenstate of a linear harmonic oscillator. Such type of universe has a quantized mass of the order of the Planck mass and harmonic oscillator wave functions
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Black Holes and Theoretical Physics