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On a geometric interpretation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mn>4</mml:mn> </mml:mrow> </mml:math> factor in black hole entropy

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On a geometric interpretation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mn>4</mml:mn> </mml:mrow> </mml:math> factor in black hole entropy

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Authors: Ira Wolfson

Year

2026

Paper ID

71121

Status

Peer-reviewed

Abstract Read

~2 min

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Abstract

Abstract The Bekenstein–Hawking entropy S = A / 4 ℓ P 2 contains a coefficient 1 / 4 that has been calculated by many approaches to quantum gravity. We show that this factor arises from the causal geometry of any null boundary in a four-dimensional Lorentzian spacetime. A heuristic accessibility argument is supported by a purely geometric derivation using the canonical symplectic structure on the cotangent bundle and the causal splitting of the space of null rays. No gravitational field equations are invoked.

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It adds a 2026 reference point for readers tracking recent quantum research.
Abstract The Bekenstein–Hawking entropy S = A / 4 ℓ P 2 contains a coefficient 1 / 4 that has been calculated by many approaches to quantum gravity.

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References & Citation Signals

[1] DOI https://doi.org/10.1088/1361-6382/ae7fe8 [2] Publisher https://doi.org/10.1088/1361-6382/ae7fe8

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