01 · Frequency
Everything vibrates.
Not philosophy — observation. Hearts, brains, light, gravitational waves, the electron itself: each carries a characteristic frequency. Pick something and see where it sits on one continuous spectrum.
Your heart beats 60–100 times per minute — that is a frequency (≈ 1–1.7 Hz).
Waveforms and speeds are schematic — drawn slow enough to see. The labels carry the real numbers; the ruler is logarithmic, base 10.
02 · Modulation
Waves meet — and patterns carry patterns.
When two oscillations meet they interfere: amplify, cancel, modulate. Tune the two waves toward simple ratios and watch stable structure appear out of motion.
Set both waves to a 1.618 ratio (φ) for the most stable resonance pattern.
03 · Coherence
Impact breaks the pattern.
A coherent wave carries structure. Impact fragments it — and the original cannot be reconstructed from the pieces. That asymmetry is the framework's engine for growth, decay and damage.
A coherent wave. Press Impact to shatter its phase relationships — and notice you cannot Reset back to the same wave from the fragments alone.
04 · The Grid
Continuity is an illusion of resolution.
Zoom in far enough and smooth becomes pixel. In this picture a closed standing wave reads as mass, and the deformation of the grid around it reads as gravity — a pedagogical image the framework treats as an analogy to test, not a result.
The loop closes on itself and sustains itself — energy locked into form.
Pedagogical picture, not a derivation: a closed-loop standing wave reads as mass, the deformation of the surrounding grid reads as gravity. The chapter treats this as an analogy to be tested — not as a result.
05 · Predictions
A theory that cannot be tested is not a theory.
The framework keeps a public ledger of predictions, classified by epistemic status — tested against the peer-reviewed literature, falsifications included and kept on the page. Browse it, filter it, and judge for yourself.