cp6CapacityPhiBits
plain-language theorem explainer
Researchers comparing phi-bit and Shannon information measures cite the definition of CP6 capacity as phi to the twelfth power. The quantity supplies the scaling factor for recognition channel capacity on the twelve-dimensional CP6 manifold at any resolution epsilon. The definition is a direct abbreviation that invokes the pre-established phi constant from the forcing chain.
Claim. The recognition capacity of the CP6 meaning manifold, measured in phi-bits, equals $phi^{12}$.
background
The Recognition Entropy module treats information in base-phi units as more fundamental than base-2 Shannon bits. CP6 is the twelve-real-dimensional meaning manifold whose channel capacity therefore scales as phi^12 times log_phi(1/epsilon). Upstream structures from SpectralEmergence establish the gauge content and fermionic degrees of freedom that fix the dimensional count at twelve, while PhiForcingDerived supplies the J-cost calibration underlying the recognition process.
proof idea
The definition is a direct abbreviation that sets the identifier to phi raised to the power twelve.
why it matters
This definition supplies the recognition_capacity_phi_12 entry listed in the module documentation and supports the claim that recognition capacity exceeds the corresponding Shannon capacity. It sits inside the phi-ladder construction and the eight-tick octave of the Recognition Science framework. The result is referenced when downstream arguments compare phi-bit discrimination to 2^12 bits.
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