Physics Arc — left loop · 7 / 16
§5
The Bekenstein Edge
Information was always on the edge.
Rewrite the formula
Bekenstein–Hawking: S = A / 4Gℏ. In the α-Framework: S_edge(μ) = α · A(μ) / 4. This is not notation. In the standard formula, 1/4Gℏ is a dimensionful cocktail of Planck scale, c, and Newton. Here α is the single compression coefficient: how much M-information can be encoded on a surface of area A at scale μ. The factor of 4 is geometry of the edge, not of α.
Horizon as zero-fidelity α-Connection
An event horizon is an α-Connection at F(μ) → 0. Nothing translates out because the edge there is operating at zero fidelity — all M-information is retained on the edge, none projected into C-experience outside. The information is not destroyed. It is preserved on the edge. The interior was always a projection of the edge, not a container of independent information.
The paradox, resolved
Where does infalling information go when a black hole evaporates? It was never in the interior. It was encoded on the α-Connection at the moment of crossing. Hawking radiation is slow reconstruction of that edge-encoded information into C-experience at low fidelity over the evaporation timescale. No information lost. No unitarity violated. The paradox is an artifact of treating the interior as ontologically primary — which Edge Theory denies.
S_BH = A / 4Gℏ
S_edge(μ) = α · A(μ) / 4
α replaces 1/Gℏ as the compression coefficient, in units natural to the framework.