Kurtis Kemple
2026.4.1PHYSICS LETTERS B
Abstract
The maximum number of irreversible bit operations a Schwarzschild black hole can support is computed from Landauer’s principle applied at the asymptotic Hawking temperature, the frame in which the ADM mass-energy and the thermal radiation spectrum are both defined. The result is exact: N max = 2 N BH , where N BH is the Bekenstein–Hawking entropy measured in bits. The factor of two follows algebraically from the Smarr formula M c 2 = 2 T H S BH and requires no assumptions beyond semiclassical black hole thermodynamics and Landauer’s principle. This identity admits a natural interpretation through the chiral structure of the two-dimensional horizon: a compact surface supports independent left-moving and right-moving excitations, doubling the processing capacity relative to single-sector storage. For Kerr black holes, the Kerr/CFT correspondence maps the rotational work term in the Smarr formula entirely to the right-moving chiral sector, yielding an asymmetric decomposition N max = 2 N L + 2 N R M 2 / ( M 2 − a 2 ) in which the left-moving processing capacity is independent of spin. The processing-to-storage ratio exceeding unity has a direct bearing on the information paradox: it ensures sufficient throughput for complete information processing during Hawking evaporation.
Citation format
KEMPLE, Kurtis. A landauer bound on black hole information processing: n max. PHYSICS LETTERS B, 2026, 877: 140493.