What question did this study set out to answer?

To establish an observable-native verification framework, the Horizon Closure Matrix (HCM), for evaluating theoretical derivations that map microscopic scattering and field-theory data to macroscopic black-hole observables.

August 19, 2026Open Access

The Horizon Closure Matrix (HCM): Observable-Native Verification of Microscopic-to-Black-Hole Capture and Radiation Chains

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DFDarren Dominic Fabri

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Overview

Theoretical framework demonstrates observable-native verification of microscopic-to-macroscopic black-hole capture chains, establishing clear boundaries between structural closure and evidence...

Key Points

To establish an observable-native verification framework, the Horizon Closure Matrix (HCM), for evaluating theoretical derivations that map microscopic scattering and field-theory data to macroscopic black-hole observables.
Evaluated an eight-component off-shell current recursion for four-dimensional Schwarzschild capture across n=90 orders (89 loops) with multi-prime finite-field verification.
Audited a 5PM-1SF worldline quantum field theory chain involving 426 Feynman diagrams and Calabi-Yau threefold master-integral period blocks for radiative observables.
Assessed structural closure and evidence grade requirements across generic eikonal-to-geometry and residue-to-capture routes.
The Schwarzschild direct-current route achieved certified structural closure through n=90, exactly matching 720 four-dimensional coefficients and 2160 finite-field recurrences to yield R_ph = 3 G_N M, b_crit = 3 sqrt(3) G_N M, and sigma_cap = 27 pi G_N^2 M^2.
The 5PM-1SF worldline quantum field theory radiative control structurally closed for radiated energy and recoil, treating Calabi-Yau periods strictly as master-integral function-space geometry.
The generic positive-geometry, residue, and eikonal-to-capture pipeline remained classified as not closed due to the absence of a demonstrated mapping overlapping the capture domain.

Cite This Study

Darren Dominic Fabri (2026) studied this question.

synapsesocial.com/papers/6a85639d03308d306e2d6edd https://doi.org/10.5281/zenodo.21425771

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August 19, 2026Open Access

The Horizon Closure Matrix (HCM): Observable-Native Verification of Microscopic-to-Black-Hole Capture and Radiation Chains

View Full Paper

Ask AI

Bookmark

Authors

DFDarren Dominic Fabri

Discussion

Member takes

Overview

Theoretical framework demonstrates observable-native verification of microscopic-to-macroscopic black-hole capture chains, establishing clear boundaries between structural closure and evidence...

Key Points

To establish an observable-native verification framework, the Horizon Closure Matrix (HCM), for evaluating theoretical derivations that map microscopic scattering and field-theory data to macroscopic black-hole observables.
Evaluated an eight-component off-shell current recursion for four-dimensional Schwarzschild capture across n=90 orders (89 loops) with multi-prime finite-field verification.
Audited a 5PM-1SF worldline quantum field theory chain involving 426 Feynman diagrams and Calabi-Yau threefold master-integral period blocks for radiative observables.
Assessed structural closure and evidence grade requirements across generic eikonal-to-geometry and residue-to-capture routes.
The Schwarzschild direct-current route achieved certified structural closure through n=90, exactly matching 720 four-dimensional coefficients and 2160 finite-field recurrences to yield R_ph = 3 G_N M, b_crit = 3 sqrt(3) G_N M, and sigma_cap = 27 pi G_N^2 M^2.
The 5PM-1SF worldline quantum field theory radiative control structurally closed for radiated energy and recoil, treating Calabi-Yau periods strictly as master-integral function-space geometry.
The generic positive-geometry, residue, and eikonal-to-capture pipeline remained classified as not closed due to the absence of a demonstrated mapping overlapping the capture domain.

Cite This Study

Darren Dominic Fabri (2026) studied this question.

synapsesocial.com/papers/6a85639d03308d306e2d6edd https://doi.org/10.5281/zenodo.21425771

View Full Paper

Ask AI

Bookmark