Horizon Radiation Carries the C60 Eigenvalue Fingerprint

Horizon radiation built on the C60 operator is not purely thermal. On top of the thermal envelope it carries a discrete non-thermal structure, with emission concentrated at the eigenvalue-gap addresses of the operator and weighted toward one distinguished nine-dimensional sector that holds 27.7% of the weight and feeds six of the eight brightest lines. That non-thermal structure falls out of the operator alone, with no continuum and no moving front, so it is a forced side-effect of the spectrum rather than a feature that waits on a gravity derivation. The physical step, mapping those spectral addresses to a temperature on a real or analogue horizon, is a posited identification and is marked as one. On that map the paper states a sealed, falsifiable prediction: in the reduced-frequency window 0.24 to 0.65, an analogue horizon's spectrum shows peaks at six specific addresses and four specific gaps that stay empty, with a stated pass criterion. The Bekenstein-Hawking coefficient 1/4 is reproduced but is generic to three-regular free-fermion systems, not a derivation from icosahedral structure, and the paper says so. The ordering of the lines by brightness is not claimed; only the address structure is asserted.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23841761
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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preprint

Horizon Radiation Carries the C60 Eigenvalue Fingerprint

Jason Almasy
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Horizon Radiation Carries the C60 Eigenvalue Fingerprint

Jason Almasy
preprint en

Abstract

Horizon radiation built on the C60 operator is not purely thermal. On top of the thermal envelope it carries a discrete non-thermal structure, with emission concentrated at the eigenvalue-gap addresses of the operator and weighted toward one distinguished nine-dimensional sector that holds 27.7% of the weight and feeds six of the eight brightest lines. That non-thermal structure falls out of the operator alone, with no continuum and no moving front, so it is a forced side-effect of the spectrum rather than a feature that waits on a gravity derivation. The physical step, mapping those spectral addresses to a temperature on a real or analogue horizon, is a posited identification and is marked as one. On that map the paper states a sealed, falsifiable prediction: in the reduced-frequency window 0.24 to 0.65, an analogue horizon's spectrum shows peaks at six specific addresses and four specific gaps that stay empty, with a stated pass criterion. The Bekenstein-Hawking coefficient 1/4 is reproduced but is generic to three-regular free-fermion systems, not a derivation from icosahedral structure, and the paper says so. The ordering of the lines by brightness is not claimed; only the address structure is asserted.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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