System Architecture

The mathematical foundation and software layers of Secrets of Quantum Waves.

162

Avatar
81 Reflection + 81 Rotation

180

Shadow
64 base + 116 derived

342

Total Frequencies
162 + 180

114

Vortex Steps
4 phases

Foundation

Mathematical Foundation

SQW frequency archive screen — 342 frequencies and research cards — This is how the mathematics below appears in the app: all 342 frequencies, alongside 27 research cards.

Layer 1

The 342 Frequency System

Enneagram S3 symmetry: 27 × 6 = 162 Avatar (81 Reflection + 81 Rotation)
Shadow cube (1-2-3-4): 64 base frequencies + 116 derived = 180 Shadow (sacred geometry)
Total: 162 + 180 = 342 frequencies
Mathematical bridge: 123 × φ² = 322.018 Hz (0.006% error) — the golden ratio
Monte Carlo: p < 0.001 (13 independent bridges)

Layer 2

Vortex Mathematics (VM)

114-step Vortex computation
4 phases: IGNITION → DISTILL → CONVERGE → TRANSCEND
Group A (258): surface — geometric exclusion
Group B (369): process — two-phase crystallisation
Universal Delta: 114/114 triplets ≤ 2 Hz (100%)

Stereo

Stereo Architecture

Frequency type	Channel	Pan	Count
Reflection	Left (L)	0.0	81
Rotation	Right (R)	1.0	81
Shadow	Centre (C)	0.5	180
Theta Drone	Left + right	0.0 / 1.0	2–4

Reflection and Rotation hold the two ends of the stereo field, Shadow sits at the centre. The Theta drone spans both channels — this is where the binaural difference arises.

Technology

Technical Specification

Component	Technology
Application	Single-file PWA — HTML, CSS, JavaScript
Audio	Web Audio API — drone synthesiser, ADSR envelope, filter and reverb chain
Visualisation	Canvas 2D — audio-reactive sacred geometry
Validation	Goertzel power analysis — every frequency is measured before it plays
Packaging	Capacitor · Android
Offline	Service Worker · AURA runs entirely on device, no data leaves it
Languages	12 languages