The Projection-Layer Origin of Black Hole Entropy — Deriving the Bekenstein-Hawking Formula from the Envelope Interface Framework

Le résumé fourni par la source

The Bekenstein-Hawking formula S_BH = k_B A / (4 l_p^2) is celebrated as one of the deepest results in theoretical physics, apparently unifying gravity, quantum mechanics, and thermodynamics. This paper demonstrates that this unification is an artifact of projection-layer mixing. Two independent papers have now cracked both key parameters: the Boltzmann constant k_B has been shown to be a projection-layer variable B_k (not a universal constant), and the Planck length l_p has been decomposed into projection-layer components through the mass-speed factor k = m/V_u (not a fundamental length). With both parameters exposed, the Bekenstein-Hawking formula is revealed to be built on two broken pillars: a variable disguised as a constant, and a hybrid disguised as a fundamental. At any single Envelope Interface level, entropy is simply S = A/(4 λ^2) — a geometric cell count using that level's characteristic wavelength. The standard formula is the World Quantum level reading, valid only at that projection layer. Keywords: black hole entropy, Bekenstein-Hawking formula, Boltzmann constant, Planck length, mass-speed factor, Envelope Interface nesting, projection-layer mixing

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