V3 Experimental Proof

Status: validated Domain: physics Source: → projects/Prime_Maxel-v3/research/v3_torsion_results_20may2026.md

What We Know

• First experimental proof: prime ratios outperform composite ratios in a physical resonator (20 May 2026)
• Same board, same probes, only frequency divisors changed:
  • +28% peak amplitude (prime vs composite)
  • +18% spectral sharpness
  • +22% channel coherence (cross-correlation A↔B: 0.82 prime vs 0.67 composite)
  • Spectral flatness: 0.67 (prime) vs 0.81 (composite) — lower = more structured
• All 5 of 6 prime frequencies individually resolved in FFT: 78, 137, 195, 332, 1016 Hz
• Exact integer ratios detected: 13/1, 7/1, 7/5, 13/7 — all exact
• Full 12-cell ring survey: spatial frequency hemispheres, amplitude gradients, U24 hotspot
• Undriven cells carry full signal through network coupling — the ring is a coupled resonator
• SNR: 22× above ambient noise floor
• 30+ follow-up experiments (22 May) yielded Four-Factor Theory, Tusk-resonant set, zeta zero results
• Arduino Mega direct drive via Timer1 (bypassing bricked GreenPAKs) — 50kHz technique for arbitrary frequencies
• Board 1 bricked by NVM erase (killed I2C addresses); Board 3 used for all measurements

What We Don’t Know

• Q-V3-01: How do results change with temperature? (No thermal control on v3)
• Q-V3-02: Is the 12-cell ring geometry optimal or would other topologies perform differently?
• Q-V3-03: What is the long-term stability of the measurements? (All taken in single sessions)

Relationships

• [[four-factor-theory]] — nature: supports — discovered through v3 experiments

• [[tusk-resonant-set]] — nature: supports — optimal set found on v3

• [[zeta-zeros-physical]] — nature: supports — zeros measured on v3

• [[coprimality]] — nature: supports — coprimality dimensions explored on v3

• [[v4-board-design]] — nature: extends — v4 designed to address v3 limitations

• [[prime-resonance-computing]] — nature: depends-on — v3 validates the foundational claim

• [[six-dimensional-scaffold]] — nature: validates — 6-frame experiments confirmed scaffold outperforms pure primes; highest xcorr (0.897)

• [[prime-harmonic-transform]] — nature: depends-on — PHT provides PRS scoring and Möbius deconvolution for v3 signal analysis

• [[tusk-series]] — nature: depends-on — Tusk FFT peaks informed the frequency selection that led to optimal v3 results

• [[prime-composite-duality]] — nature: validates — v3 proved composites (6 in Tusk set) are essential, not noise; {1,2,3,5,6,7} beats pure primes

• [[levin-bioelectricity-prime-resonance]] — nature: analogous-to — ring quorum behaviour parallels Levin’s tissue consensus; undriven cells carrying signal = gap junction propagation

• [[delayed-gratification-resonance]] — nature: supports — +28% amplitude in undriven cells earned through propagation time; resonance requires patience

• [[ras]] — nature: supports — RAS shape predictions validated by v3 spectral measurements

• [[maxwell-prime-cavities]] — nature: corroborates — independent 24% prime advantage in EM cavities confirms v3’s 24% Tusk advantage

• [[source-alphabet]] — nature: supports — v3 experiments discovered the {1,2,3,5,6,7} source alphabet empirically

• [[onm-set-architecture]] — nature: validates (moderate) — coprime resonance superiority in v3 predicted by set architecture’s communication topology (coprime = through-substrate = richer)

• [[prime-tree-architecture]] — nature: supports (moderate) — v3 spectral measurements validate the factorisation→shape predictions that drive tree branching geometry

• [[waveform-torsion-division]] — nature: bridges (strong) — v3 amplitude/sharpness/coherence superiority for prime ratios may be torsion efficiency at zero-crossings

Bridging Potential

• v3 data validates theoretical predictions from Tusk Series, RAS, and four-framework convergence
• v3 IS the math↔physics bridge — it turned mathematical structure into measurable physical effects

Key Evidence

• Results: projects/Prime_Maxel-v3/research/v3_torsion_results_20may2026.md
• Data: Test Point Readings, 20 May 2026
• Scripts: rigol_capture.py, torsion_analyze.py
• Rigol DS1054Z SCPI: IP 169.254.201.110
• Experiment suite: v3_board3_experiment_suite_22may2026.md + 5 sub-documents