max_ops_per_sec
plain-language theorem explainer
The definition states that the maximum operations per second for a system with energy E equals Bremermann's limit multiplied by E. Physicists deriving energy-dependent bounds on computation rates would cite this scaling when analyzing physical limits on processing. It is implemented as a direct multiplication of the constant by the energy input.
Claim. For a system with energy $E$, the maximum number of operations per second equals $B$ times $E$, where $B = 2 / hbar$ is Bremermann's limit.
background
The module examines fundamental limits of computation in Recognition Science, tracing them to the fundamental tick as minimum time quantum, the irrationality of phi, Landauer erasure costs, and the Bremermann limit from the energy-time uncertainty relation. Bremermann's limit supplies the maximum operations per second per joule as $2 / hbar$ approximately $1.9 times 10^{34}$.
proof idea
This is a one-line definition that multiplies the bremermann_limit constant by the energy parameter E.
why it matters
This definition supplies the explicit scaling law for maximum computation rate with energy, feeding the theorem that the rate is positive for positive energy and the result that finite energy implies a finite computation bound. It implements the IC-002.12 step in the computation limits structure, connecting the uncertainty-principle bound to energy-dependent rates in the RS framework.
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