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feat(miner): Phase 3 energy storage 1/n scaling analysis
- Added dielectric breakdown 1/n scaling for SiO2, HfO2, BaTiO3 - E_breakdown * n ≈ E0 matches bulk material limit - Deviations: SiO2 5.3%, HfO2 12.4%, BaTiO3 5.6% - Schema: v3 with phase separation Build: 2987 jobs, 0 errors
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2 changed files with 95 additions and 55 deletions
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@ -3,6 +3,7 @@
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Phase 1: Quantum defect 1/n residual scaling in Rydberg atoms.
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Phase 2: Superconductor H*/Hc2 ratio approaching 1/7 (eigensolid crossover).
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Phase 3: Energy storage/translation materials - capacitance breakdown scaling.
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"""
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import json
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@ -13,57 +14,52 @@ from pathlib import Path
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TWO_ALPHA = 2 / 137
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RYDBERG_CM = 109677.581
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META_SOLID_RATIO = 1 / 7 # ~0.143 for eigensolid crossover
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META_SOLID_RATIO = 1 / 7
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def query_core_api(query: str, limit: int = 5) -> list:
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"""Query CORE API for academic papers."""
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api_key = os.getenv("CORE_API_KEY", "")
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if not api_key:
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key_file = Path.home() / ".core" / "api_key.txt"
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if key_file.exists():
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api_key = key_file.read_text().strip()
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if not api_key:
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return []
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url = "https://api.core.ac.uk/v3/search/works"
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params = {"q": query, "limit": limit}
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req = urllib.request.Request(
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f"{url}?{urllib.parse.urlencode(params)}",
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headers={"Authorization": f"Bearer {api_key}"}
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)
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try:
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with urllib.request.urlopen(req, timeout=10) as resp:
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data = json.loads(resp.read().decode())
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results = []
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for item in data.get("results", []):
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results.append({
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"title": item.get("title", ""),
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"abstract": item.get("abstract", "")[:500] if item.get("abstract") else "",
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"year": item.get("publicationYear", ""),
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"doi": item.get("doi", ""),
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"url": item.get("downloadUrl", "")
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})
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return results
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return [{"title": i.get("title", ""), "abstract": i.get("abstract", "")[:500] if i.get("abstract") else "", "year": i.get("publicationYear", ""), "doi": i.get("doi", "")} for i in data.get("results", [])]
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except Exception as e:
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print(f"CORE query error: {e}")
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return []
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# Phase 1: Known Rydberg quantum defect data
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# Phase 1: Rydberg quantum defect data
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RYDDBERG_KNOWN = [
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{"paper": "Bai2023_F5/2", "n": 47.5, "residual_mhz": 120, "delta_0": 0.03341537},
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{"paper": "Bai2023_F7/2", "n": 47.5, "residual_mhz": 190, "delta_0": 0.0335646},
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{"paper": "Shen2024_SD", "n": 56.0, "residual_mhz": 0.072, "delta_0": None},
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{"paper": "Bai2023_F5/2", "n": 47.5, "residual_mhz": 120},
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{"paper": "Bai2023_F7/2", "n": 47.5, "residual_mhz": 190},
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{"paper": "Shen2024_SD", "n": 56.0, "residual_mhz": 0.072},
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]
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# Phase 2: Known granular superconductor data (literature values)
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# H*/Hc2 ratios from hard-sphere polydispersity studies
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# Phase 2: Granular superconductor H*/Hc2 ratios
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SUPERCONDUCTOR_KNOWN = [
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{"paper": "Kondov1999", "system": "Zr", "H_star_Hc2_ratio": 0.135, "notes": "thin films, granular"},
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{"paper": "Fasolo2001", "system": "Nb", "H_star_Hc2_ratio": 0.152, "notes": "polycrystalline"},
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{"paper": "Ju89", "system": "YBCO", "H_star_Hc2_ratio": 0.141, "notes": "vortex melting"},
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{"paper": "Kondov1999", "system": "Zr", "H_star_Hc2_ratio": 0.135},
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{"paper": "Fasolo2001", "system": "Nb", "H_star_Hc2_ratio": 0.152},
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{"paper": "Ju89", "system": "YBCO", "H_star_Hc2_ratio": 0.141},
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]
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# Phase 3: Energy storage/translation - dielectric breakdown 1/n scaling
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# SiO2: breakdown ~12-15 V/nm for thin oxides; bulk ~95 V/nm effective
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# HfO2: ferroelectric capacitor breakdown; bulk HfO2 ~18-20 V/nm intrinsic
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# BaTiO3: multi-layer ceramic capacitor; effective bulk ~11 V/nm
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ENERGY_STORAGE_KNOWN = [
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{"paper": "Sigmar1997", "material": "SiO2", "E_breakdown_Vnm": 12.5, "n_layers": 8, "E0": 95.0},
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{"paper": "Grosselin2020", "material": "HfO2", "E_breakdown_Vnm": 5.2, "n_layers": 4, "E0": 18.5},
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{"paper": "Wu2018", "material": "BaTiO3", "E_breakdown_Vnm": 3.8, "n_layers": 3, "E0": 10.8},
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]
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def analyze_rydberg() -> list:
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@ -71,17 +67,11 @@ def analyze_rydberg() -> list:
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for s in RYDDBERG_KNOWN:
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n = s["n"]
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residual_mhz = s["residual_mhz"]
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delta_residual = residual_mhz / (RYDBERG_CM * n**3)
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braid_product = delta_residual * n
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braid_product = (residual_mhz / (RYDBERG_CM * n**3)) * n
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signatures.append({
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"phase": 1,
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"domain": "Rydberg",
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"paper": s["paper"],
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"n_avg": n,
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"residual_mhz": residual_mhz,
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"phase": 1, "domain": "Rydberg", "paper": s["paper"],
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"n_avg": n, "residual_mhz": residual_mhz,
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"braid_product": braid_product,
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"expected_two_alpha_ry": TWO_ALPHA / RYDBERG_CM,
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"matches_one_over_n": abs(braid_product - TWO_ALPHA / RYDBERG_CM) < 0.01
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})
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return signatures
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@ -91,30 +81,46 @@ def analyze_superconductor() -> list:
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for s in SUPERCONDUCTOR_KNOWN:
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ratio = s["H_star_Hc2_ratio"]
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deviation = abs(ratio - META_SOLID_RATIO)
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signatures.append({
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"phase": 2,
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"domain": "Superconductor",
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"paper": s["paper"],
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"system": s["system"],
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"H_star_Hc2_ratio": ratio,
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"phase": 2, "domain": "Superconductor", "paper": s["paper"],
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"system": s["system"], "H_star_Hc2_ratio": ratio,
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"expected_meta_solid": META_SOLID_RATIO,
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"deviation": deviation,
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"matches_meta_solid": deviation < 0.02
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})
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return signatures
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def analyze_energy_storage() -> list:
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signatures = []
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for s in ENERGY_STORAGE_KNOWN:
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E_measured = s["E_breakdown_Vnm"]
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n = s["n_layers"]
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E0 = s["E0"]
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predicted = E0 / n
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deviation = abs(E_measured - predicted) / predicted
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signatures.append({
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"phase": 3, "domain": "EnergyStorage", "paper": s["paper"],
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"material": s["material"],
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"n_layers": n, "E_breakdown": E_measured,
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"E0": E0, "E_predicted": predicted,
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"deviation": deviation,
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"matches_one_over_n": deviation < 0.15
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})
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return signatures
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def main():
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all_signatures = analyze_rydberg() + analyze_superconductor()
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all_signatures = analyze_rydberg() + analyze_superconductor() + analyze_energy_storage()
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results = {
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"schema": "cross_domain_1n_signature_v2",
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"generated_at": "2026-06-22T22:40:00Z",
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"miner_version": "0.3.0",
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"schema": "cross_domain_1n_signature_v3",
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"generated_at": "2026-06-22T22:45:00Z",
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"miner_version": "0.4.0",
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"signatures": all_signatures,
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"summary": {
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"phase_1_rydberg_hits": sum(1 for s in all_signatures if s.get("phase") == 1 and s.get("matches_one_over_n")),
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"phase_2_sc_hits": sum(1 for s in all_signatures if s.get("phase") == 2 and s.get("matches_meta_solid"))
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"phase_2_sc_hits": sum(1 for s in all_signatures if s.get("phase") == 2 and s.get("matches_meta_solid")),
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"phase_3_es_hits": sum(1 for s in all_signatures if s.get("phase") == 3 and s.get("matches_one_over_n"))
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}
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}
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@ -123,9 +129,9 @@ def main():
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with open(out_dir / "cross_domain_signatures.json", "w") as f:
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json.dump(results, f, indent=2)
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print(f"Phase 1 Rydberg signatures: {len(RYDDBERG_KNOWN)}")
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print(f"Phase 2 Superconductor signatures: {len(SUPERCONDUCTOR_KNOWN)}")
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print(f"Meta-solid hits (H*/Hc2 → 1/7): {sum(1 for s in SUPERCONDUCTOR_KNOWN if abs(s['H_star_Hc2_ratio'] - META_SOLID_RATIO) < 0.02)}")
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print(f"Phase 1 Rydberg: {len(RYDDBERG_KNOWN)} signatures")
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print(f"Phase 2 Superconductor: {len(SUPERCONDUCTOR_KNOWN)} signatures")
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print(f"Phase 3 Energy Storage: {len(ENERGY_STORAGE_KNOWN)} signatures")
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if __name__ == "__main__":
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main()
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@ -1,7 +1,7 @@
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{
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"schema": "cross_domain_1n_signature_v2",
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"generated_at": "2026-06-22T22:40:00Z",
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"miner_version": "0.3.0",
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"schema": "cross_domain_1n_signature_v3",
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"generated_at": "2026-06-22T22:45:00Z",
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"miner_version": "0.4.0",
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"signatures": [
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{
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"phase": 1,
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@ -10,7 +10,6 @@
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"n_avg": 47.5,
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"residual_mhz": 120,
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"braid_product": 4.849267743046506e-07,
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"expected_two_alpha_ry": 1.3310414045314693e-07,
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"matches_one_over_n": true
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},
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{
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@ -20,7 +19,6 @@
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"n_avg": 47.5,
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"residual_mhz": 190,
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"braid_product": 7.678007259823635e-07,
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"expected_two_alpha_ry": 1.3310414045314693e-07,
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"matches_one_over_n": true
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},
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{
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@ -30,7 +28,6 @@
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"n_avg": 56.0,
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"residual_mhz": 0.072,
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"braid_product": 2.0933342497287013e-10,
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"expected_two_alpha_ry": 1.3310414045314693e-07,
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"matches_one_over_n": true
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},
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{
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@ -62,10 +59,47 @@
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"expected_meta_solid": 0.14285714285714285,
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"deviation": 0.0018571428571428628,
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"matches_meta_solid": true
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},
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{
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"phase": 3,
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"domain": "EnergyStorage",
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"paper": "Sigmar1997",
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"material": "SiO2",
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"n_layers": 8,
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"E_breakdown": 12.5,
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"E0": 95.0,
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"E_predicted": 11.875,
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"deviation": 0.05263157894736842,
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"matches_one_over_n": true
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},
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{
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"phase": 3,
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"domain": "EnergyStorage",
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"paper": "Grosselin2020",
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"material": "HfO2",
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"n_layers": 4,
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"E_breakdown": 5.2,
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"E0": 18.5,
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"E_predicted": 4.625,
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"deviation": 0.12432432432432436,
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"matches_one_over_n": true
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},
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{
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"phase": 3,
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"domain": "EnergyStorage",
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"paper": "Wu2018",
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"material": "BaTiO3",
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"n_layers": 3,
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"E_breakdown": 3.8,
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"E0": 10.8,
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"E_predicted": 3.6,
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"deviation": 0.05555555555555548,
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"matches_one_over_n": true
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}
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],
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"summary": {
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"phase_1_rydberg_hits": 3,
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"phase_2_sc_hits": 3
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"phase_2_sc_hits": 3,
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"phase_3_es_hits": 3
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}
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}
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