Read the equation
The written DNA increment is rational, while 1/φ is irrational as an exact real number. Their ideal pair does not exactly repeat because of the irrational component, but the claim δ≈1/φ³ is wrong and any finite-precision deterministic computer state has only finitely many representable configurations. The source’s unconditional never-repeat claim therefore does not establish a property of the implemented machine.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| delta | 0.013618 |
| phi | Golden ratio |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
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Original context
Read the surrounding source passage
9.3 Gate Transition state[i] = ((state[i] XOR input[i]) XOR flip) AND 1 // [Eq. 84] The two incommensurate phases (DNA at δ ≈ 1/φ³, Fibonacci at 1/φ) create quasi-periodic patterns that never exactly repeat. 10. Federation Cross-Talk Dynamics 10.1 Cross-Talk ODE (Equation 503)
Exact original notation
The two incommensurate phases (DNA at δ ≈ 1/φ³, Fibonacci at 1/φ) create quasi-periodic patterns that never exactly repeat.
Sources & provenance
The two incommensurate phases (DNA at δ ≈ 1/φ³, Fibonacci at 1/φ) create quasi-periodic patterns that never exactly repeat.
The two incommensurate phases (DNA at δ ≈ 1/φ³, Fibonacci at 1/φ) create quasi-periodic patterns that never exactly repeat.