Black Holes as Factories of Geometry: A Unified Framework for Quantum Gravity, Holography and Emergent Spacetime

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Authors: Vincenzo Colella
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Abstract

We propose a unified framework in which black hole interiors providea natural laboratory for the unification of quantum gravity, holography,thermodynamics, and emergent spacetime. Building on the universal ob-servation that the proper interior volume of black holes grows approx-imately linearly with time, we interpret this growth as the dynamicalproduction of quantum geometry.In this framework, spacetime is treated as a granular medium com-posed of elementary quanta of geometry, and horizons act as active in-terfaces converting infalling energy into new spacetime volume throughcovariant exchange laws. A central ingredient is the existence of a rela-tivistic maximal density bound, ρ ≤ ρmax = Ecℓ3eff,which prevents the formation of curvature singularities and triggers geo-metric production when saturation is reached. This mechanism impliesthe existence of a minimal admissible radius for collapsing configurationsand ensures the regularity of black hole interiors.We show that the resulting interior growth admits a unified interpre-tation across several approaches. In loop quantum gravity, it correspondsto the creation of discrete quanta of volume. In holographic duality, it isencoded in the growth of entanglement and computational complexity. Inthe granular framework developed here, it arises from a local energy–to–geometry conversion law at horizons. These complementary descriptionsare synthesized in a unification principle according to which black holesact as factories of geometry, irreversibly producing spacetime volume reg-ulated by relativistic density bounds.We formulate an effective covariant dynamics incorporating geomet-ric production, establish its thermodynamic and informational interpre-tation, and demonstrate its consistency with semiclassical gravity. Ob-servable consequences are discussed, including redshift drift, post-merger1gravitational-wave signatures, lensing corrections, and connections withcosmological volume production.This work suggests a dynamical theory of spacetime emergence inwhich geometry, matter, entropy, and information originate from a com-mon microscopic substrate, providing a concrete and testable pathwaytoward quantum gravity unification.

Fields of Study & Subjects

Black Holes and Theoretical Physics Noncommutative and Quantum Gravity Theories Relativity and Gravitational Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
19 January 2026
Document type
Preprint