Published October 31, 2026
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Horizon Radiation Carries the C60 Eigenvalue Fingerprint
Description
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.
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Horizon_eigenvalue_fingerprint_DRAFT.pdf
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- Cites
- Preprint: 10.5281/zenodo.23786457 (DOI)