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Preprint . 2026
License: CC BY SA
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY SA
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY SA
Data sources: Datacite
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Horizon Response Principle (HRP) Sector I: Stationary Black Holes

Authors: Enzo Cabrera Iglesias;

Horizon Response Principle (HRP) Sector I: Stationary Black Holes

Abstract

This preprint is Sector I (Stationary Black Holes) of the Horizon Response Principle (HRP) triptych (BH / Local Rindler / FLRW). It provides a constants-explicit, sector-typed normalization card for 4D Einstein–Hilbert gravity in the stationary black-hole setting. Scope:• 4D Einstein gravity only• Stationary Killing horizons• Reversible (near-equilibrium) area channel only• All constants explicit (G, c, ħ, k_B)• No new dynamics or modified field equations Sector typing (BH sector).The left-hand side (LHS) object is the Hamiltonian/Noether-charge area contribution in the Iyer–Wald first-law identity, δH_ξ|_area.It is not a matter heat flux δQ and is not identified with LHS objects from other sectors. Normalization backbone.Using the acceleration temperatureT(α_H) = ħ α_H / (2π k_B c)and the Einstein (Wald/Bekenstein–Hawking) entropy densityS_grav/A = k_B c^3 / (4G ħ),the algebraic identityT(α_H)(S_grav/A) = α_H c^2 / (8πG)exposes a classical coefficient skeleton that HRP packages via k_SEG := 4πG / c^3. In the BH sector the abstract acceleration scale specializes to the physical surface gravity κ, yielding the standard first-law reversible area term in constants-explicit form. Surface-gravity normalization.The paper explicitly distinguishes geometric surface gravity (units 1/m) from physical surface gravity (units m/s^2), related by κ = c^2 κ_geom. All temperature inputs use the physical acceleration scale. This chart pin prevents normalization drift in cross-paper comparisons. What is not claimed.• No derivation or modification of GR• No identification of gravitational entropy with entanglement entropy• No non-equilibrium or entropy-production terms• No universality beyond 4D Einstein gravity• No cross-sector identification of distinct LHS objects Within the HRP suite, this paper establishes the stationary black-hole normalization ledger that anchors the companion Local Rindler and FLRW sector cards. Across sectors, k_SEG functions as a reusable constants-explicit slot, while each sector’s physical LHS object remains strictly typed and non-identified.

Keywords

reversible horizon area response, Einstein-Hilbert gravity, spacetime response constant, surface gravity (physical), Horizon Response Principle, semantic typing, first law of black hole mechanics, horizon area variation, stationary black holes, kSEG, constants-explicit, HRP, convention locks, Iyer-Wald formalism, Noether charge

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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
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