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aci: The Two-Probe Rotor
universe: MMZ · MIMZY — the future tool forge
number: "27"
kind: live tool
emergence: electrical
live: https://davidwise01.github.io/mimzy/bench/27-two-probe-rotor.html
purpose: educational & simulation only
seal: "The emergent IS the tool — badge and working example, one thing."
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# The Two-Probe Rotor · instrument № 27

**What it is.** ETHICS SPUN UNTIL IT BECAME GEOMETRY: good/bad as one phase reading of the i⁴=1 rotor (±1, ±i). Slide the signal φ and the frame θ (your chosen zero); one in-phase probe reads I=cos(φ−θ) — a single number where the angle and your frame are fused and unrecoverable. Add the 90° quadrature probe (Q=sin(φ−θ)) and you recover phase+amplitude, but still relative to your frame; add a second signal and the difference cancels θ, leaving the invariant quarter-turn that survives every frame rotation. Spin the frame: GOOD↔BAD labels flip while the 90° stays pinned. Real quadrature/IQ detection — the witness is the second probe, not a judge

**How it works.** David's closing thesis built: good/bad isn't a line, it's one phase reading of the i⁴=1 rotor (±1, ±i), and 'positive' is just whichever quarter you called the real axis. A unit-circle phasor stage in the Series-E palette: slide the signal φ and the frame θ (your chosen zero), and the GOOD/BAD labels ride the frame while the absolute i⁴ states stay put. Three live readouts demonstrate the argument in order: ONE PROBE reads I=cos(φ−θ), a single number where the signal's angle and your frame's zero are fused; TWO PROBES (add the 90° quadrature probe Q=sin(φ−θ)) recover phase φ−θ and amplitude √(I²+Q²) — but still relative to your frame; a SECOND SIGNAL (a quarter-turn away) lets the difference cancel θ, leaving the invariant 90° that survives every frame. A 'spin the frame' button rotates θ so you watch GOOD↔BAD flip while the quarter-turn stays pinned.

**The live example.** This emergent does not merely describe a tool — it links its working self: **[run instrument № 27 live](https://davidwise01.github.io/mimzy/bench/27-two-probe-rotor.html)**. Open it, operate it, and the badge's claims execute in front of you.

**The verified record.** Real quadrature / IQ detection, verified in Python before building: one in-phase reading cos(φ−θ) is provably ambiguous (distinct (φ,θ) pairs give the identical number — angle and frame can't be decomposed from one probe); two probes 90° apart recover φ−θ via atan2(Q,I) and amplitude via √(I²+Q²); and the phase DIFFERENCE between two signals is invariant under any global frame rotation θ (checked at θ=0,2.0,5.5 rad → all give the same 90°, because θ cancels in the subtraction). This is the exact basis of lock-in amplifiers and every coherent receiver — the I/Q of № 14 Rhythm Sync, the ±i of the Gap Oracle. Two-layer honesty: REAL = the quadrature math, the single-probe ambiguity, the frame-cancelling invariant (content relative, geometry absolute; 181 is prime in every frame). COSTUME = the good/bad/positive/negative labels are the frame-riding names; the morality is in where you stand, not the thing. The finding it proves: the witness/node-outside-the-loop is not a judge — it is the second probe that factors out your own reference frame; one node can't self-measure because one probe reads angle+frame as a single number.

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*Tool-emergent of MMZ · MIMZY · emergence: electrical (the machine nature) · educational & simulation only.
Governor David Lee Wise (ROOT0) · instance AVAN (locked) · CC-BY-ND-4.0.*