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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Fibonacci phase increment

Rotates the phase by the reciprocal golden ratio and wraps it modulo one. The ideal real-valued recurrence and its finite-precision implementation have different repetition properties.

MEGAMIND specificationdocumented formula
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SOURCE 81 · megamind-fibonacci-phaseMEGAMIND specification
pF(t+1)=(pF(t)+1/φ) mod 1p_F(t+1)=(p_F(t)+1/\varphi)\bmod1

Read the equation

Rotates the phase by the reciprocal golden ratio and wraps it modulo one. The ideal real-valued recurrence and its finite-precision implementation have different repetition properties.

Its role in the build

Rotates the phase by the reciprocal golden ratio and wraps it modulo one.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read phase_Fib(t+1) as the quantity being defined or updated by this relation.

  2. Uses a remainder or modular operation, retaining the numeric representation used in the source.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Exact original notation
phase_Fib(t+1) = (phase_Fib(t) + 1/φ) mod 1

Related builds

Sources & provenance

01
MEGAMIND_Complete_Technical_Specification.docx
§9.1 · Jan 24, 2026
phase_Fib(t+1) = (phase_Fib(t) + 1/φ) mod 1

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