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This paper examines what erasing one bit must cost, as heat, if the erasure is attempted at the hottest temperature the frame permits. The calculation is performed in a frame with a finite maximum density, the neutron-branch value rho_A = 9.718e+57 kg per cubic metre, with the electron branch at 2.874e+51 kg per cubic metre for comparison. Headline results include a bounce temperature of 3.278e+22 K, a Landauer cost at that temperature of 3.137e-01 J per bit against 2.871e-21 J per bit at 300 K, a Bekenstein allowance of 1.049e+94 bits for the stated centimetre reference region, and a Margolus-Levitin rate of 2.209e+103 per second for the same region. The cost at the bounce temperature is about 3.14e-01 joules per bit, roughly twenty-two orders above the familiar room-temperature figure. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.
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William Alexander Aldred (2026) studied this question.
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