Fix bekenstein hawking entropy formula#104
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cnygaard
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Feb 1, 2026
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- Add compute_black_hole_entropy() utility with optional LQG logarithmic correction (Meissner 2004, Kaul-Majumdar 2000) - Replace deprecated Leech lattice dark matter ratio (sqrt(196560/24)~90.5) with v7 Immirzi parameter gamma_0=0.274 and ratio pi/(2*gamma_0)~5.73 - Update Page time from ~0.5 to ~0.65 x t_evap based on cubic-root mass evolution M(t) = M_0*(1-t/t_evap)^(1/3) - Refactor examples and tests to use new entropy utility and v7 parameters
The Bekenstein-Hawking entropy was incorrectly computed as S = πr_h²/(4l_p²) instead of S = A/(4l_p²) = πr_h²/l_p². Correct derivation: - Horizon area: A = 4πr_h² - Bekenstein-Hawking entropy: S = A/(4l_p²) = 4πr_h²/(4l_p²) = πr_h²/l_p² - In Planck units (G=l_p=1): r_h = 2M, so S = π(2M)² = 4πM² The previous implementation incorrectly divided by an extra factor of 4, yielding πM² instead of 4πM².
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