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This work aims to derive black hole horizons and holographic entropy from a variational approach within Absolute Frame Theory.

July 15, 2026Open Access

Black Hole Horizons as Saturation Conditions of the Embedding: A Variational Derivation of Holographic Entropy from the Absolute Frame Theory

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Variational derivation explores black hole horizons and holographic entropy in black holes, suggesting structural insights into gravity's nature.

This work aims to derive black hole horizons and holographic entropy from a variational approach within Absolute Frame Theory.
Utilized a constrained variational problem under Absolute Frame Theory to derive black hole horizons.
Applied the Karush-Kuhn-Tucker conditions to identify the event horizon as a codimension-one surface.
Discussed implications of the framework through predictions such as information preservation and specific corrections.
Identified black hole horizons as active constraints in the embedding structure.
Showed that the Bekenstein-Hawking coefficient may be conjectured as a constant underlying structural aspect.
Proposed four predictions, including holographic exactness and a discrete mass spectrum related to Planck-scale.

Patricio E. Valenzuela (2026) studied this question.

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Variational derivation explores black hole horizons and holographic entropy in black holes, suggesting structural insights into gravity's nature.