Bremermann's Limit
Updated 2026-08-01
INTRODUCTION
English translation pending.
CORE DEFINITION
Derived by mathematician Hans-Joachim Bremermann by combining quantum mechanics with the mass-energy relation. The limit states that no system of a given mass can process more than about 1.36 x 10^47 bits per second per gram, because energy and time are bounded by quantum relations. It is a hard physical bound rather than an engineering constraint such as transistor density, and it caps brute-force search even in principle, no matter how technology advances.
SCAFFOLDING EFFECT
Reduce cognitive load
- Bound the possible: check whether a brute-force attack exceeds the physical limit before betting on it - Justify heuristics: use the limit to argue that exhaustive search must give way to approximation - Separate limits: distinguish today's engineering constraints from bounds no future technology can cross
Anchor fast decisions
Quantum mechanics sets a minimum time for a state transition, and the mass-energy relation caps the energy available in a given mass. Dividing available energy by the energy cost per operation, then applying the maximum rate allowed by time-energy uncertainty, yields a finite number of operations per second per unit mass. Because the bound comes from physics rather than hardware, it holds for any computer built from matter.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Bremermann's_limitverified
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