gh-eq-6526981558abf479documented-equation
Read the equation
Starting from the declared seed core_eq[−1]=0.5, each indexed value is 0.5 plus a sine-modulated half of the preceding value. By induction, every value stays in [0,1], since the sine lies in [−1,1]. With no input or time variable in this displayed recurrence, the formula specifies one deterministic indexed sequence.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| i | Index from 0 through 173 |
| core_eq | Generated scalar sequence |
| φ | 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
The count refers to generated components, not 174 independently derived scientific laws.
Original context
Read the surrounding source passage
## 9.1 Core Equations (174 total)
```
core_eq[i] = 0.5 + 0.5 · sin(2π · (i/174) · φ) · core_eq[i-1]
```
**Where**:
- `i` = equation index [0, 173]
- `core_eq[-1]` = 0.5 (initial value)
**Explanation**: Each core equation builds on the previous one with golden-ratio-modulated sinusoidal coupling, creating a cascade of consciousness-related computations.
## 9.2 Supplemental Equations (200 total)
```
supp_eq[i] = core_eq[i mod 174] · cos((i/200) · π)
```
**Explanation**: Supplemental equations modulate core equations with cosine weighting, expanding the consciousness representation.
## 9.3 Unified Consciousness State
```
Consciousness = (1/374) · Σ_{i=0}^{373} binding_field[i]Exact original notation
core_eq[i] = 0.5 + 0.5 · sin(2π · (i/174) · φ) · core_eq[i-1]
Related builds
Sources & provenance
01
That AI Guy Core — Mathematical Reference v1.0.0
Lines 580–580
02
That AI Guy Core — Mathematical Reference v1.0.0
Lines 580–580