Primordial black holes, astrophysical systems and the Eddington-Weinberg relation
S. Capozziello, G. Cristofano, M. De Laurentis
TL;DR
This paper explores how quantum fluctuations influence astrophysical scales and derives the Eddington-Weinberg relation, providing insights into the cosmological constant and the universe's scale from primordial black hole quantization.
Contribution
It introduces a quantization framework for primordial black holes that explains the universe's scale and the cosmological constant.
Findings
Quantum fluctuations determine astrophysical system scales
The Eddington-Weinberg relation is derived naturally
The current value of the cosmological constant is recovered
Abstract
Starting from a quantization relation for primordial black holes, it is shown that quantum fluctuations can play a fundamental role in determining the effective scales of self-gravitating astrophysical systems. Furthermore the Eddington-Weinberg relation between the current scale of the observed universe to the Planck constant (the standard action unit) is naturally derived. Finally, such an approach allows to recover the current value of the cosmological constant.
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