pith. sign in
def

energyPerResolution

definition
show as:
module
IndisputableMonolith.Information.RecognitionBremermann
domain
Information
line
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papers citing
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plain-language theorem explainer

The declaration defines the energy per resolution as φ^5 in Recognition Science native units. Researchers deriving power bounds from the 8-tick recognition cycle cite it when multiplying resolution rate by this quantum. It is introduced as a direct constant assignment from the relation ℏ = φ^{-5}.

Claim. The energy per resolution equals $φ^5$, where $φ$ is the golden ratio fixed point.

background

The RecognitionBremermann module develops the recognition-theoretic Bremermann limit. The 8-tick cycle is the minimum time for one complete debt resolution, so no physical process resolves debt faster than 8τ₀. The factor φ^5 enters because each resolution carries a φ^5-energy quantum once ℏ = φ^{-5} in RS units.

proof idea

This is a direct definition that sets energy per resolution to phi raised to the fifth power. No lemmas or tactics are applied.

why it matters

The definition supplies the φ^5 factor used in the parent theorem bound_from_phi, which states that bremermannBound times energy per resolution equals φ^5 / 8. It fills the energy-scale step in the Q7 chain that links the T7 eight-tick octave to the power bound on recognition events.

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