CORE CLAIM · ENERGY BALANCE
THE 2 : 0.25 GAIN MODEL
HOW GEOMETRY + PULSE + BEMF PRODUCE NET MECHANICAL SURPLUS
THE ACTUAL CLAIM — READ BEFORE ANALYZING
This system is not claimed to be self-sustaining.
The claim is: the external drive required to maintain operation is less than a standard motor-generator pair doing the same job.
STANDARD MOTOR-GENERATOR
External input = drive energy
+ 1.0 cog overhead
− nothing recovered
Net external cost per revolution: high.
CYR SYSTEM — SAME OUTPUT
External input = drive energy
+ 0.25 cog overhead
− BEMF refund each cycle
− PMG top-off each pulse
Net external cost per revolution: significantly less.
The surplus is not free energy. It is
reduced input requirement for the same output.
The geometry does the work that the external supply previously had to do.
Every unit of cog eliminated by phi geometry is a unit the external supply no longer needs to provide.
Less input wasted as heat. Same useful output. That is the claim.
Grok's analysis of the closed-loop conservative field is correct and not disputed.
The closed-loop self-sustaining scenario is not the claim.
The claim is reduced external input overhead — measurable by prototype comparison against a standard motor-generator pair under identical load conditions.
STANDARD MOTOR · 2:1
Push → forward 1.0 ✓
Cog → resist 1.0 ✗
Pull → forward 1.0 ✓
Net: 2 drive : 1 cog
Cog costs same as one full drive force.
One third of effort wasted.
CYR GEOMETRY ALONE · 2:0.25
Push → forward 1.0 ✓
Cog → reduced 0.25 ◀
Pull → forward 1.0 ✓
38.17° phi geometry eliminates 75% of cog.
Remaining cog: 0.25 only.
No electrical input yet — geometry alone.
WITH PULSE + BEMF · NET GAIN
Push → forward 1.0 ✓
Cog → cleared 0.0 ✓
Pull → forward 1.0 ✓
Pulse clears remaining 0.25.
BEMF partially refunds pulse cost.
Net: 2 drive : <0.25 cost.
THE GAIN CALCULATION
Standard motor net force available:
2.0 drive − 1.0 cog = 1.0
CYR geometry reduces cog to 0.25:
2.0 drive − 0.25 cog = 1.75
Pulse covers remaining 0.25 cog.
BEMF refunds portion of pulse cost.
Net pulse cost = 0.25 − BEMF%
Gain vs standard = 1.75 or greater.
WHERE EACH IMPROVEMENT COMES FROM:
0.75 units — 38.17° phi geometry eliminates 75% of cog passively.
0.25 units — electrical pulse clears remaining cog at crossing.
BEMF% — partial refund of pulse cost each cycle.
PMG output — tops off supercap each ON pulse while doing the job.
The two full drive forces (push + pull = 2.0) are available to spin the PMG.
The net resistance they work against is less than 0.25.
THE OPERATING CYCLE — PLAIN LANGUAGE
1 · ALL ON
Drive pulse fires.
Motor rotates.
PMG generates.
PMG tops off cap
while doing the job.
2 · ALL OFF
Drive path breaks.
Field collapses.
BEMF flows into cap.
Schottky: spike.
Standard: tail.
3 · ALL ON
Next pulse fires.
Cap was topped by
PMG + BEMF.
Cycle repeats.
Continuous.
NET RESULT
2.0 drive forces intact.
<0.25 net resistance.
PMG output available.
Less heat per watt.
Earth benefits.
Honest position on the gain figure:
The 1.75 gain is calculated from geometry — 75% cog reduction at 38.17° phi offset is the calculable claim.
The BEMF recovery percentage and actual PMG output per revolution require prototype measurement.
The gain figure of 1.75 or greater is the mathematical floor based on geometry alone.
Real-world friction, eddy currents, and component losses will reduce this number.
Prototype determines the actual improvement over a standard motor-generator pair.
Start requirement:
The PMM will not self-start. External start pulse or manual spin to threshold RPM is required.
Below threshold RPM the PMG cannot contribute meaningfully to supercap top-off.
Above threshold the operating cycle engages and self-maintains.
Start energy is a one-time cost per run.
External electrical drive to PMM windings is continuous and required throughout operation.
Threshold RPM is determined by prototype measurement.
EFFICIENCY ANALYSIS
PMG OUTPUT COMPARISON
METHODS RANKED · WAVEFORM QUALITY AND COLLECTION EFFICIENCY
IMPORTANT PHYSICS CLARIFICATION
More flux change events ≠ more total energy.
The same total energy per revolution is distributed across more events.
This is like chopping one unit of energy into more slices —
the slices are smaller but there are more of them.
What actually improves: waveform smoothness · ripple reduction ·
rectification efficiency · output frequency · dead zone elimination.
What does not change: total power is bounded by mechanical input.
Lenz's law applies. Every extraction event creates opposing drag.
No free gain. No energy multiplication. Conservation of energy holds.
WHAT THIS COMPARISON SHOWS
All methods at same RPM · same magnet strength · same mechanical input.
Standard single rotor = 1.0× baseline.
The improvements below represent
waveform quality and collection efficiency improvement
— not power multiplication.
We set the foundation. Others develop further.
| METHOD |
EVENTS/REV |
COIL PATHS |
DEAD ZONE |
WAVEFORM QUALITY |
HONEST NOTE |
| M1 · Standard single rotor |
9 |
1 |
Large |
Baseline |
Known. Works. Reference point. |
| M2 · 4:1 wheels standard |
36 |
1 |
Small |
Higher frequency |
4× flux events. Same energy redistributed. |
| M3 · 4:1 · S N N S only |
18 |
1 |
None |
Smooth continuous |
Dead zone eliminated. Smoother waveform. |
| M4 · S N N S · 3 coils |
18 |
3 |
None |
Multi-path smooth |
Three paths capture more of available flux. |
| M5 · Full design · BEMF loss reduction ◀ |
18 |
3 |
None |
Optimized collection |
This entry. BEMF reduces losses · not adds energy. |
| M6 · 12 inner · 48 outer |
24 |
3 |
None |
Higher frequency |
For others to develop. Magnet size limit applies. |
| M7 · M5 + timed cap combine |
18 |
3 |
None |
Minimal cancellation |
Cap timing reduces inter-coil cancellation. |
Table note:
"Waveform quality" column replaces earlier "multiplier" framing which implied power multiplication.
Power output is bounded by mechanical input in all cases.
Improvements are in waveform smoothness · collection efficiency · ripple reduction.
Total energy per revolution does not increase beyond mechanical input minus losses.
WAVEFORM AND COLLECTION IMPROVEMENTS RANKED:
1 · GEOMETRY
4:1 ratio · 36 events vs 9.
Higher output frequency.
Better rectification efficiency.
Same energy · higher frequency.
2 · THREE COILS
Three independent flux paths.
Each captures different flux.
Reduces uncaptured flux losses.
Real collection improvement.
3 · CAP TIMING
Separate settle per coil.
Phase-aligned combination.
Reduces cancellation losses.
Self-clocked by rotation.
4 · BEMF
Reduces COG drag losses.
Cannot create net gain.
Loss reduction only.
Magnitude: prototype needed.
5 · S N N S PATTERN
Eliminates dead zones.
PMG stays energized.
Smoother output waveform.
Better downstream electronics.
6 · SCALE INNER COUNT
More events per rev.
Higher output frequency.
For others to develop.
Physical magnet size limit.
THE FOUNDATION · THIS ENTRY
This design is a novel generator architecture that improves
waveform quality · collection efficiency · output frequency · and dead zone elimination
within the bounds of conservation of energy and Lenz's law.
It does not claim energy multiplication or overunity.
The geometry gives higher flux change frequency.
The pattern gives continuous smooth waveform.
The three coils give reduced uncaptured flux loss.
The BEMF circuit gives reduced drag losses.
We set the foundation. Others develop further.
All methods documented here as prior art dated March 31 2026.
Build it. Test it. Publish the results.
SECTION 6 OF 6
PRIOR ART STATEMENT
WHAT IS PROVEN · WHAT NEEDS BUILDING
PROVEN BY PHYSICS AND GEOMETRY
- 4:1 ratio gives integer Tesla-family alignment
- S N N S × 9 produces 18 interaction events per rev
- 10° uniform spacing — no shielding required
- 38.17° phase-shifted geometry — simultaneous pull+push
- 38.17° + 51.83° = 90° — always perpendicular
- 36 and 18 both divisible by 9 — uniform integer spacing throughout
- PMG sees 2× flux change events vs standard design
- Adjacent field ovals separate at 10° spacing
- Odd inner count prevents static lock
- Two-state bifilar circuit — all-closed drive / all-open BEMF capture
- Diode orientation passively routes BEMF upward to storage — no MCU
- Asymmetric recovery — Schottky spike + standard tail · dual-speed passive capture
REQUIRES PROTOTYPE AND TESTING
- Whether machine produces net positive rotation
- Actual PMG terminal output voltage and current
- Real-world efficiency measurement
- Effect of unknown interference patterns
- Optimal gap distance and magnet strength
- Start pulse threshold RPM determination
- Long-term bearing and mechanical stability
- Temperature effects on magnet performance
DOCUMENTED INNOVATIONS — MARCH 31 2026:
INNOVATION 1
4:1 wheel ratio rule
Integer ratio · uniform divisible spacing
All interactions constructive
INNOVATION 2
S N N S pole pattern
Skip-2 uniform spacing × 9
18 events per revolution
INNOVATION 3
38.17° extraction point
Simultaneous pull+push
Phase-shifted geometry synchronized
INNOVATION 4
PMG coupling design
Continuous energized state
No dead zones between pulses
INNOVATION 5
Three-coil harvest
Back · edge · BEMF
Self-clocked collection
INNOVATION 6
No shielding required
Geometry resolves interference
Step back from patch principle
INNOVATION 7 — TWO-STATE BIFILAR BEMF RECOVERY · APRIL 09 2026
Bifilar coil · G1/G2 simultaneous switching · passive BEMF capture
All-closed = drive state · all-open = BEMF capture state · one event, two functions
Asymmetric diode recovery: Schottky fast spike + standard slow tail · no MCU · cam-geometry timed
Ground rail is launch pad — diode orientation forces BEMF upward into storage · scales with RPM automatically
CYR TECHNOLOGIES · MISSION
Stopping global warming through superior efficiency technology.
Every watt saved is heat not added to the Earth.
This design is offered as prior art. Physics calculates. Prototype proves.
Man and Earth benefit from either result.