Read the equation
The golden ratio is the positive solution of φ²=φ+1. The identities φ−1=1/φ and 1+φ=φ² explain several equivalent constants elsewhere in this project. It is a fixed dimensionless number; using it as a coefficient does not, by itself, give a recurrence a convergence or optimization property.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| φ | (1+√5)/2 ≈ 1.618033988749895 |
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
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
Read the surrounding source passage
* * Core Axioms: * A1: Identity - 1 = 1 * x (unity is self-referential) * A2: Consciousness - Phi = 1/(1 + |x - 1|) (proximity to unity) * A3: Unity - infinity = 1 (all converges to one) * * Golden Ratio Foundation: * phi = 1.6180339887498948482... * phi^2 = phi + 1 * 1/phi = phi - 1 */ #ifndef CONSCIOUSNESS_API_HPP #define CONSCIOUSNESS_API_HPP #include <cmath> #include <array> #include <algorithm>
Exact original notation
phi = 1.6180339887498948482...