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The aim is to construct a dual for a variational problem related to black-hole horizons in Absolute Frame Theory and explore information preservation during evaporation.

July 15, 2026Open Access

A Variational Dual and a Modular-Theoretic Information Mechanism for Black Holes in the Absolute Frame Theory

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PVPatricio E. ValenzuelaUniversidad de La Frontera

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Presents dual mechanisms promoting information preservation in black holes, indicating profound implications for entropy and geometry.

Key Points

The aim is to construct a dual for a variational problem related to black-hole horizons in Absolute Frame Theory and explore information preservation during evaporation.
Developed the construction of the dual of the saturation problem in the Euclidean sector of Absolute Frame Theory.
Proved several propositions regarding the boundedness of embedding actions and the promotion of exterior algebras.
Employed modular theory to analyze implications of the black-hole state and its relationship to entropy.
Demonstrated that the black-hole algebra is promoted to Type II₁, implying a bounded entropy.
Established a finite trace for the algebra, excluding Type III₁ as a possibility.
Outlined a concrete structural prediction related to the horizon-area spectrum, which adheres to the principles of the Bekenstein–Mukhanov type.

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Patricio E. Valenzuela (2026) studied this question.

synapsesocial.com/papers/6a5722be88b21df87547fa7e https://doi.org/10.5281/zenodo.21342516

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A Variational Dual and a Modular-Theoretic Information Mechanism for Black Holes in the Absolute Frame Theory

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Key Points

Cite This Study

A Variational Dual and a Modular-Theoretic Information Mechanism for Black Holes in the Absolute Frame Theory

Discussion

Member takes

Implication

Key Points

Cite This Study

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