ENGRAM · Hopf Gold / synC Time Crystal
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backend=—
GPU —
IBM key —
IDLE
Cycle —
Run —
Time Crystal observables (live)
Docs: spectrum/peaks from magnetization M(t)=⟨Z⟩
Magnetization M(t)=⟨Z⟩
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Syntropy Σ
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QIPR / SQIPR
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PCF (=SQIPR/QIPR)
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Entropy S
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Avg fidelity (t vs t+2)
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π-gap ratio (from M(t) spectrum)
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Backend status
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Magnetization M(t) vs Floquet cycle
Primary time-crystal observable (docs)
Spectrum (FFT power) of M(t)
Peak frequency + coherence duration derived here
Syntropy Σ(t) (secondary)
Optional: Σ(t) spectrum also available from backend
Computed metrics (after run)
Matches abstract: peaks, peak frequency, coherence duration
| Metric | Value |
|---|---|
| Number of peaks (M(t) spectrum) | — |
| Peak frequency (ω) | — |
| Coherence duration (cycles) | — |
| Peak frequency (cycles/dt) | — |
| Elapsed time (backend) | — |
No LLM chat is included. This page only runs the Hopf Gold → synC Floquet GPU simulation and
calculates Time Crystal Syntropy metrics from the resulting GPU statevectors.