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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Theory of an Induced Hierarchy of Dimensions via Gravitational Collapse

Authors: Anton Kleschev;

Theory of an Induced Hierarchy of Dimensions via Gravitational Collapse

Abstract

We propose and extend a speculative but structurally unified framework in which gravitational collapse is interpreted as a representation transition for physical information: exterior macroscopic degrees of freedom become operationally inaccessible, while the internal microstate structure compatible with the same exterior data acquires a higher-capacity effective description. The central postulate asserts that a sufficiently strong collapse transition maps an N-dimensional manifold of accessible macrostates to an induced (N+1)-dimensional internal state-space, with information about that internal level encoded on (or near) a boundary; in the horizon-forming limit the encoding becomes area-controlled, consistent with holographic entropy bounds. We develop the proposal in the language of observable algebras and quantum channels (encoding/recovery maps), introduce quantitative proxies for “induced dimension” based on effective information geometry, and formulate a phenomenological energetic-cost relation linking processed collapse energy to induced state-space capacity. We connect the framework to black-hole thermodynamics, covariant entropy bounds, quantum error-correction interpretations of holography, and modern unitarity-compatible treatments of evaporation. Finally, we outline falsifiable, test-oriented consequences for multi-messenger strong-field transients and clarify limitations and compatibility targets.

Keywords

emergent dimensions, black hole entropy, holographic principle, covariant entropy bound, gravitational collapse

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green