CYR PIVOT-FIELD GENERATOR
PIVOT-PIN HOLDER · + PUSH INSIDE · − PULL INSIDE · ALL FIXED MAGNETS INSIDE WHEEL
CAM TRIPS LATCH · FIELD DRIVES · SNAP-ACTION EMF · RING AXIAL TRAVEL VARIANT
DUAL HELIX OFFSET COMPENSATION · CHANDLER WOBBLE PRINCIPLE · GOLDEN ANGLE 137.5°
Wolf13 · Alan Cyr · CYR Technologies · Chicago, IL · March 19, 2026 · Hackaday.io — Digikey Green Powered Challenge
38.17°
phi offset
EXTRACTION POINT
+3–8%
output recovery
COG WASTED ENERGY
137.5°
golden angle
DUAL HELIX OFFSET
38.17°
phi offset
PEAK EMF HERE
INSIDE
all fixed magnets
NO OUTER MAGNETS
+ / −
push · pull
INSIDE WHEEL
31×
less cam load
CAM-LATCH
+15-40%
peak EMF
SNAP ACTION
137.5°
golden angle
DUAL HELIX
ZERO
bearing axial load
BALANCED SHAFT
output frequency
DUAL RING

Why Every Generator Wastes 3-8% at Dead Center

Every rotating permanent magnet generator fights itself at the moment of maximum field coupling — when rotor magnet aligns with stator pole. That alignment point is also peak cogging force. Peak EMF and peak resistance at the same moment. The generator is working against itself. 140 years of combustion engines showed the solution: extract at 38.17° before dead center — the phi offset — not at dead center itself.

THE COG PROBLEM

At direct pole alignment: maximum EMF AND maximum magnetic resistance simultaneously. The Pelton wheel fights the generator's own alignment force. 3-8% of output wasted every revolution. Pulsed bearing axial load. Vibration at pole frequency. All preventable.

THE PHI OFFSET — 38.17°

arcsin(0.618) = 38.17°. Peak dΦ/dt occurs here — not at peak alignment. This is where EMF peaks. Capture it here. Then retract the magnet through dead center with increased gap. Cog force drops by gap² law. Free rotation after.

F = k / gap² · gap doubled → cog reduced 75% ✓
THE RESULT

Peak EMF captured at phi offset. Dead center bypassed. Cog reduced 75-90%. Bearing axial load near zero (dual-ring). Output frequency doubled. Vibration eliminated. 3-8% recovered from same water, same magnets, same stator.

Three Elements — Field Drives · Cam Triggers · Groove Watches

Each active magnet pivots on a pin fixed to the rotating wheel. Two or three fixed permanent magnets inside the wheel drive the magnet to the correct position at the correct angle. The cam trips a latch to release the holder. The groove is the seatbelt — never touched in normal operation.

ELEMENT 1 — PIVOT-PIN HOLDER

Active magnet on pivoting arm. Pin fixed to wheel. Pin = hinge — carries no load. Outer arm carries magnet. Swings OUT at phi offset toward stator. Swings IN through dead center away from stator. No spring. No bearing.

ELEMENT 2 — INSIDE FIXED MAGNETS

All fixed magnets INSIDE the wheel — between hub and active magnets. No outer housing magnets.

+ push magnet: N→N repels active OUT at 38.17° before dead center.
− pull magnet: S←N attracts active IN at dead center.

ELEMENT 3 — SAFETY GROOVE

Cut inside wheel. Pin sits loosely. NEVER touched normally. Catches pin only on magnet failure. Groove wear = diagnostic signal: a fixed magnet has weakened. Service required.

Seatbelt · not steering wheel.

WHEEL CROSS-SECTION — ALL FIXED MAGNETS INSIDE · + PUSH · − PULL
STATOR (fixed) SAFETY GROOVE (never touched) HUB SHAFT + PUSH · N→N REPELS OUT at 38.17° PULL · S←N ATTRACTS IN at dead center OUT·EMF ✓ PEAK EMF CAPTURED ✓ IN·COG BYPASS ROTATION → ALL FIXED MAGNETS INSIDE WHEEL · NO OUTER MAGNETS · SELF-CONTAINED

+ Push Inside · − Pull Inside · No Outer Housing Magnets

The critical geometry: all fixed positioning magnets are located INSIDE the rotating wheel — between the hub and the active magnets at the outer edge. The housing is only the stator. The entire mechanism is self-contained within the wheel assembly. This makes the wheel a drop-in replacement for any existing stator.

+ PUSH MAGNET — INSIDE WHEEL AT PHI OFFSET

Location: inside wheel, between hub and active magnets, at phi offset angular position (38.17° before stator pole dead center).

Polarity: North pole faces inner face of active magnet. N→N repulsion pushes active magnet OUTWARD toward stator. Minimum gap. Maximum coupling. Peak EMF captured.

At phi offset position:
EMF = N × dΦ/dt → MAXIMUM ✓
F_push = k_push / (r_inner)²
Holder swings OUT · stator gap minimum ✓
− PULL MAGNET — INSIDE WHEEL AT DEAD CENTER

Location: inside wheel, between hub and active magnets, at dead center angular position (stator pole direct alignment).

Polarity: South pole faces inner face of active magnet. S←N attraction pulls active magnet INWARD away from stator. Gap increases. Cog drops by gap² law.

At dead center with holder retracted:
gap_new = gap_min + δ (holder swung in)
F_cog_new = F_cog / (1 + δ/gap_min)² ✓
δ = gap_min: cog reduced 75% ✓
Why inside only: The housing is only the stator. No magnets on housing walls. The wheel assembly carries everything — active magnets, pivot pins, inside fixed magnets, latch, groove. The wheel drops into any existing stator. The housing sees only the stator field. Nothing else.

Cam Triggers · Field Drives · Latch Holds · Snap Amplifies EMF

The cam does NOT drive the magnet. The cam trips a small latch. The latch has two stable positions: OUT lock (active magnet extended toward stator) and IN lock (retracted). The inside fixed magnets drive the holder between positions once the latch releases. The holder snaps — fast dΦ/dt — higher EMF than gradual movement. The latch is the EMF amplifier.

CAM LOAD COMPARISON
MechanismCam forceCam wear
Direct cam drive100-400 N (magnet force)High · limited life
Cam-latch (this)0.5-2 N (latch spring)Near zero ✓
Reduction200-800×Effectively infinite life

The cam trips the latch at 3-5° before the inside magnet comes into range. The field drives the holder to the new position. Cam locks the latch at the new position.

SNAP-ACTION EMF IMPROVEMENT
Without latch (gradual movement):
dΦ/dt = ΔΦ / t_travel
t_travel ≈ 30° rotation at RPM = ~22ms at 380 RPM

With latch (snap action):
dΦ/dt = ΔΦ / t_snap
t_snap ≈ 1ms (field snap)
Ratio: 22ms / 1ms = 22× peak dΦ/dt ✓

Practical peak EMF improvement:
+15-40% estimated · requires measurement ✓

The latch holds flux constant between snaps (dΦ/dt=0). Releases to snap. Maximum contrast. Maximum EMF pulse.

Principle 16: separate the trigger from the actuator. The cam is the trigger — near zero load. The field is the actuator — full force. The latch is the holder — locks position. The snap is the amplifier — maximum dΦ/dt. Biological equivalent: the neuron action potential — all-or-nothing firing, held then snapped. The nervous system is the original EMF amplifier.

BLDC Outrunner Ring Shifts Axially — Sinusoidal Shaft Groove

Instead of individual pivot holders, the entire BLDC outer ring shifts axially along the shaft. One mechanism moves all magnets simultaneously. The shaft has a sinusoidal phi ratio groove cut into its surface. As the ring rotates, a pin follows the groove. Ring shifts IN at phi offset — maximum axial overlap, peak EMF. Ring shifts OUT at dead center — reduced overlap, cog reduced. Applies to every BLDC outrunner ever built.

SINUSOIDAL SHAFT GROOVE — UNROLLED · ONE REVOLUTION · 8 POLE PAIRS
SHAFT IN ↑ (ring toward stator · phi offset · peak EMF) OUT ↓ (ring away from stator · dead center · cog reduced) ← ONE COMPLETE REVOLUTION · 8 POLE PAIRS · PHI RATIO ASYMMETRIC WAVE → φ OFFSET · IN DEAD CTR · OUT
THE SKETCH WAS CORRECT ALL ALONG

The first sketch showed a wavy rod beside the outer wheel. Initially interpreted as a housing-wall groove for a pin follower. Now correctly understood: the wavy rod IS the shaft, with the sinusoidal phi ratio groove cut into its surface. The ring pin rides this groove. The shaft is the cam. The groove is the timing. One machined profile. Works forever.

PIVOT vs RING COMPARISON
MetricPivot HolderRing Axial
Parts/active mag3 (holder+pin+latch)1 ring mechanism
Cog reduction75-90% (gap²) ✓15-30% (overlap)
Snap-action EMF+15-40% ✓No (gradual)
BLDC retrofitHarderEasier ✓
Best forHigh performanceGlobal BLDC retrofit

Earth Has Been Doing This for 4.5 Billion Years

The balanced dual-ring shaft has two half-screw groove sections with a 180° phase twist at the center. As the shaft rotates, the left ring shifts IN while the right ring shifts OUT simultaneously. Axial forces cancel. Bearing load: near zero. Output frequency: doubled. The mechanism is not original — Earth has run this exact compensation system since its formation.

BALANCED DUAL-RING SHAFT — SIDE VIEW
180° TWIST LEFT — rises (ring IN) RIGHT — descends (ring OUT) → INWARD FORCE OUTWARD FORCE ← = CANCEL
CHANDLER WOBBLE — EARTH IS THE MODEL
Earth wobbleDual helix shaft
Annual period (365d) dominantLeft helix · dominant
Chandler period (433d) subordinateRight helix · subordinate
Beat period ~6.4 yearsBeat = EMF envelope
Wobble = seeking mass balanceHelix = seeking cog balance
Passive · geometry onlyPassive · geometry only ✓
Beat = diagnostic of mass changeBeat = diagnostic: phase drift

Earth has been compensating its rotational asymmetries through dual-period wobble for 4.5 billion years. The balanced dual-ring shaft applies exactly the same principle to generator cog compensation. No additional mechanism required. The geometry does it.

THE GOLDEN ANGLE — OPTIMAL PHASE OFFSET
Standard offset (180°): perfect cancellation · no beat diagnostic

Golden angle (optimal):
360° / φ² = 360° / 2.618 = 137.508°

Same angle found in:
· Sunflower seed spiral (optimal packing)
· Leaf phyllotaxis (max sun · no overlap)
· Earth's wobble beat envelope
· Dual helix shaft (max EMF uniformity) ✓

At 137.5°: maximum output uniformity · minimum ripple · Fibonacci beat spacing · beat present but minimal
BEAT FREQUENCY — SELF-DIAGNOSTIC

The output envelope carries a slow beat frequency — the result of the two rings' phase offset. This beat IS the health indicator. No sensors needed. No electronics. Just measure the output envelope.

Beat conditionMeaning
No beat (exact 180°)Perfect cancel · no diagnostic
Slow stable beat (137.5°)Healthy · optimal ✓
Beat growingPhase drifting · inspect pins
Rapid beatService required

The geometry self-reports its own condition. Silence is not golden here — the slow beat at 137.5° tells you everything is right.

Combined benefits of balanced dual-ring: Output frequency 2× single ring. Ripple ½. Bearing axial load near zero. Vibration eliminated. Bearing life extended. Self-diagnostic beat frequency. All from a single twist of the shaft profile and a second ring. The Earth knew this was optimal 4.5 billion years ago.

Tower Generator Upgrade — 181.2 kW Base + Recovery

The Tidal Pulse Tower generator is the only rotating element with a cog problem. All other Tower innovations operate without cogging issues. Adding pivot-field mechanism to the Tower PMG is a drop-in generator upgrade — no changes to ARM A, ARM B, Pelton wheels, siphon, or stator.

TOWER BASE (v9.6)
ARM A (Pelton · siphon):
114.8 kW
ARM B (5-stage cascade · dual Pelton):
66.4 kW
Combined base:
181.2 kW per tower
Generator cog waste:
−5.4 to −14.5 kW (3-8%)
WITH PIVOT-FIELD UPGRADE
Cog bypass +3% conservative:
~186.6 kW ✓
Cog bypass +8% optimistic:
~195.7 kW ✓
With phi-ratio Pelton bucket + Re opt.:
+14-30% total possible
Ripple: near zero · flywheel: reduced 20-40%
All figures require prototype validation
Tower regulation (v9.6 corrected): ARM A bore entry pressure relief valve (set to P_design × φ, vents to surface). ARM B per-stage pressure relief (set to P_design_n × φ, vents to sump). Prevents cascade runaway (φ-amplification per stage capped independently). NOT a bypass to secondary generator — cascade head too variable. Relief valve to sump is the correct ceiling.

HGG Generator Upgrade + Phase Timer Regulation

The HGG is a closed batch system — fixed water mass cycling between two chambers. No variable incoming pressure to bypass. The pivot-field generator upgrade applies to the HGG Pelton shaft. HGG regulation is a phase timer — not a bypass gate.

HGG GENERATOR UPGRADE
Design (584W / 8 units):
584 W → ~602 W (+3%) ✓
Utility (178 kW):
178 kW → ~183-185 kW ✓
Underground 100m (11.7 MW):
11.7 MW → ~12.0-12.4 MW ✓
Flywheel: 197 kg → further reduction
Both CW and CCW phases benefit ✓
HGG REGULATION — PHASE TIMER

HGG is closed — no bypass gate. The regulation question is WHEN to flip, not how much flow.

Flip trigger (phi offset of drain):
Q_neck(t_flip) = 0.618 × Q_neck(t_0)
= 61.8% drained → flip NOW ✓

Multi-unit Fibonacci phase offsets:
8 units: offsets at F(k)/21 × T_cycle
= 1/21 · 2/21 · 3/21 · 5/21 · 8/21 · 13/21 · 0
Minimum combined ripple ✓

Pivot-Field Generator Completes the System

DEVICE 1 — TIDAL TOWER

Coastal · 181.2 kW base → ~186-196 kW with pivot-field. 13 innovations · ARM A+B · stage-verified. Pressure relief valves at ARM A bore + ARM B per-stage. Fibonacci governor per shaft. Zero fuel.

DEVICE 3 — PIVOT-FIELD GENERATOR

The coupling that improves both. Inside magnets + / −. Cam-latch snap-action. Ring axial travel variant. Dual helix offset compensation. Chandler wobble principle. Golden angle 137.5°. Drop-in upgrade any PMG.

DEVICE 2 — HOURGLASS GRAVITY

Inland · 178 kW utility → ~183-185 kW. 18 innovations · center tube · underground 100m: 11.7 MW. Phase timer regulation (flip at Q=0.618×Q₀). Fibonacci multi-unit scheduling. Zero magnets.

Not competing — complementary. Tower generates coastal power. HGG stores inland. Pivot-Field maximizes output from both. Three zones. Three devices. One complete zero-fuel grid. Every installation helps Earth cool and moves the fulcrum back toward stable lock.

All Innovations Public Domain — March 19 2026

CYR PIVOT-FIELD GENERATOR — 24 INNOVATIONS — ALL PUBLIC DOMAIN — MARCH 19 2026
InnovationStatusDate
── ORIGINAL PIVOT-FIELD ──
Pivot-pin holder in rotating wheel — pin = hinge only · no load in normal operationPUBLIC DOMAINMarch 19, 2026
+ push magnet INSIDE wheel — N→N repels active OUT at phi offset 38.17°PUBLIC DOMAINMarch 19, 2026
− pull magnet INSIDE wheel — S←N attracts active IN at dead centerPUBLIC DOMAINMarch 19, 2026
All fixed magnets inside wheel only — no outer housing magnets · self-contained wheelPUBLIC DOMAINMarch 19, 2026
Safety groove = never loaded · catches pin on failure · wear = diagnostic signalPUBLIC DOMAINMarch 19, 2026
Phi offset pull-out at 38.17° before dead center · peak EMF · gap² cog bypassPUBLIC DOMAINMarch 19, 2026
Zero contact normal operation — field only · no cam · no spring · no groove contactPUBLIC DOMAINMarch 19, 2026
── CAM-LATCH · SNAP-ACTION EMF ──
Cam-latch: cam trips latch only · 200-800× less cam load · field drives between positionsPUBLIC DOMAINMarch 19, 2026
Two-position latch OUT/IN lock — snap-action movement at releasePUBLIC DOMAINMarch 19, 2026
Snap-action dΦ/dt — latch held then released · +15-40% peak EMF · latch = EMF amplifierPUBLIC DOMAINMarch 19, 2026
Spring eliminated — field handles return · no fatigue · 31× mechanism cost reductionPUBLIC DOMAINMarch 19, 2026
── RING AXIAL TRAVEL VARIANT ──
BLDC outrunner ring axial travel — entire ring shifts on shaft · all magnets togetherPUBLIC DOMAINMarch 19, 2026
Sinusoidal phi ratio groove cut into shaft — ring pin follows · IN at phi offset · OUT at dead centerPUBLIC DOMAINMarch 19, 2026
Balanced dual-ring half-screw shaft — 180° phase twist at center · left IN simultaneous with right OUTPUBLIC DOMAINMarch 19, 2026
Axial force cancellation — equal and opposite forces · bearing axial load near zeroPUBLIC DOMAINMarch 19, 2026
Doubled output frequency — 180° offset EMF pulses · ripple halvedPUBLIC DOMAINMarch 19, 2026
── DUAL HELIX OFFSET COMPENSATION · CHANDLER PRINCIPLE ──
Dual helical offset compensation shaft — one helix compensates other's cog disturbance · passive · geometry onlyPUBLIC DOMAINMarch 19, 2026
Chandler wobble principle applied — Earth's annual+Chandler wobble as natural model for dual-helix cog compensationPUBLIC DOMAINMarch 19, 2026
Golden angle phase offset 137.5° — 360°/φ² · max EMF uniformity · Fibonacci beat spacing · same as sunflower · leaf · Earth wobblePUBLIC DOMAINMarch 19, 2026
Beat frequency as diagnostic — slow beat at 137.5° = healthy · growing beat = phase drift · service indicator · no sensorsPUBLIC DOMAINMarch 19, 2026
── SYSTEM APPLICATIONS ──
Application to CYR Tidal Pulse Tower PMG — 181.2 kW → ~186-196 kW + pressure relief valves ARM A/BPUBLIC DOMAINMarch 19, 2026
Application to CYR HGG generator — 178 kW → ~183-185 kW + phase timer (flip at Q=0.618×Q₀) + Fibonacci multi-unit schedulingPUBLIC DOMAINMarch 19, 2026
Application to CYR PMM Outrunner — 4,073 W → ~4,684-5,702 W (cam-latch + snap-action EMF)PUBLIC DOMAINMarch 19, 2026
Drop-in upgrade any rotating PMG — pivot variant or ring variant · no stator changes · geometry onlyPUBLIC DOMAINMarch 19, 2026
Fair and square. Numbers don't lie. Science always wins. Knowledge belongs to all.

The cam is the trigger. The field is the muscle. The latch is the amplifier. The groove is the seatbelt. Earth's wobble is the model. The golden angle is the optimal offset. The beat tells you when to service.

Every generator upgraded with this mechanism extracts more from the same source. Every Tower. Every HGG. Every BLDC motor globally. Earth cools faster. The fulcrum moves sooner.

Wolf13 / Alan Cyr · CYR Technologies · Chicago, IL · March 19, 2026 · 3·1·3 · DR=7 · 🐺⚡φ∞