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March 12, 20260 citationsOpen Access

Black Hole Boundary Behaviour as Admissibility Collapse

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APAndrew John Paton

Key Points

  • The research aims to reinterpret black holes as admissibility collapse boundaries rather than mere singularities or horizon conditions.
  • Interpreted black hole behaviour through the Paton System's admissibility framework
  • Analyzed the concept of boundary states in gravitational systems
  • Connected black hole dynamics with constraints in statistical and quantum mechanics
  • Identified the event horizon as an admissibility boundary
  • Demonstrated that gravitational systems can maintain internal continuity despite external inaccessibility
  • Clarified the limits of external describability under extreme gravitational compression

Abstract

This paper interprets black hole boundary behaviour through the admissibility framework of the Paton System. Rather than treating black holes solely as extreme gravitational objects defined by singularities or horizon conditions, the admissibility interpretation recognises them as structural boundary states where external describability collapses. When physical compression exceeds the admissible limits of external description, systems cross a boundary where outwardly accessible structure terminates while internal continuity may persist. The event horizon therefore represents an admissibility boundary separating externally describable states from those that remain structurally present but observationally inaccessible. By framing black holes as admissibility collapse boundaries, the paper clarifies how gravitational compression limits external legibility without implying literal physical singularities. This interpretation connects gravitational systems with other domains governed by constraint-defined admissible state spaces, including statistical mechanics and quantum mechanics.

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Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69b2580996eeacc4fcec73d3https://doi.org/10.5281/zenodo.18917486
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