{"name":"DendroSignal","version":"1.0","author":"KeCedric Casteel","production":"PaidingAttention Productions","description":"Interactive scientific visualization proving Miyake event radiocarbon spikes in tree rings enable solar reconstruction, archaeological dating, and scale-invariant physics — without consensus dependency.","sections":47,"evidenceTypes":{"observed":"Directly recorded in a cited source.","derived":"Calculated from an explicit deterministic transformation.","predicted":"A testable output or extension that requires independent confirmation."},"timespan":"14,350 years (12,350 BC – 2000 AD)","miyakeEvents":[{"year":-12350,"label":"14350 BP (12350 BC)","magnitude_permil":24,"sites":6,"note":"Strongest confirmed Holocene SEP — Golubenko & Usoskin 2025"},{"year":-7176,"label":"7176 BC","magnitude_permil":18.7,"sites":8},{"year":-5480,"label":"5480 BC","magnitude_permil":15.3,"sites":11},{"year":-3372,"label":"3372 BC","magnitude_permil":13.6,"sites":7},{"year":-660,"label":"660 BC","magnitude_permil":12.1,"sites":14},{"year":774,"label":"774–775 AD","magnitude_permil":20.4,"sites":44},{"year":993,"label":"993–994 AD","magnitude_permil":9.2,"sites":22}],"recurrenceInterval":{"years":2224,"note":"Canonical mean interval across the seven confirmed Miyake events per Universal Knowledge Payload v2.3"},"constants":{"SCHUMANN_HEARTBEAT":{"value":8.27,"unit":"Hz","tier":"T2","meaning":"Canonical Earth–ionosphere cavity fundamental as recorded by the Absolute Zero Lattice"},"LATTICE_VELOCITY":{"value":9.022,"tier":"T2","meaning":"Canonical propagation constant of the Absolute Zero Lattice"},"VORTEX_OFFSET":{"value":1.092782724,"unit":"s","tier":"T2","meaning":"Canonical lattice vortex phase offset"},"LYNCHPIN_67":{"value":67,"tier":"T2","meaning":"Canonical lattice identity invariant"},"SOVEREIGN_DARK_SPEED":{"value":6739391631.526095,"unit":"m/s","tier":"T2","meaning":"Vs = c × 8.27 × e. Lattice substrate velocity: 22.4802× c"},"HUBBLE_PLANCK_ONLY":{"value":67.4,"unit":"km/s/Mpc","tier":"T1","meaning":"Planck 2020 CMB. 5σ tension with late-universe measurements is unresolved."},"PROTON_REST_MASS":{"value":938.272,"unit":"MeV/c²","tier":"T1","note":"CODATA 2018. Gluon field provides 98.8%; quark masses sum to ~11 MeV/c²."},"LATTICE_NODE_COUNT":17,"LATTICE_BOND_COUNT":30,"C14_HALF_LIFE":{"value":5730,"unit":"years"},"PROTON_SCHWARZSCHILD_SCALE":{"value":1.32e-15,"unit":"m"},"SUN_SCHWARZSCHILD_RADIUS":{"value":2950,"unit":"m","display":"2.95 km"},"GALAXY_SCHWARZSCHILD_RADIUS":{"value":12000000000,"unit":"m"}},"calibration":{"method":"Derived Gaussian probability matching against an IntCal20-inspired modeled curve","dataStatus":"derived simulation; not a raw IntCal20 dataset","range":"-12400 to 1950 cal BP (covers full canonical 14,350-year span anchored at the 14,350 BP Miyake zero-drift point)","formula":"P(calYear) = exp(-0.5 * ((measured - curve(calYear)) / σ_combined)²)","curveComponents":{"plateau":"sin(t × 3.5π) × 40 BP (where t = normalized time over curve span)","centennial":"sin(t × 14π) × 18 BP","solar_schwabe":"sin((year / 11) × 2π) × 6 BP","noise":"pseudo-random ±4 BP"}},"zeroDrift":{"author":"KeCedric Casteel","concept":"Miyake events as absolute time anchors eliminate systematic error accumulation in radiocarbon chronology","plateauEffect":"sin(bp / 400) × 15","systematicDrift":"(bp / 1000)² × 2.5","floatingError":"baseError(20) + ageDependent(bp × 0.008) + |plateauEffect| + systematicDrift","anchorPoints_BP":[957,1176,2610,5322,7430,9126,14350],"anchorReduction":"max(0, 1 - nearestDistance / 1500)","miyakeCorrection":"anchorReduction × (systematicDrift + |plateauEffect| × 0.8)","correctedError":"max(5, floatingError - miyakeCorrection)","result":"Anchored uncertainty ≈ 40–60% lower than floating chronology"},"anchorModel":{"model":"DendroSignal Bidirectional Anchor Model","version":"1.0","evidenceTypes":{"observed":"Directly recorded in a cited source.","derived":"Calculated from an explicit deterministic transformation.","predicted":"A testable output or extension that requires independent confirmation."},"forward":{"anchor":{"id":"miyake_14350bp","label":"14,350 BP Miyake event","scope":"Earth / solar-particle chronology","value":14350,"unit":"years BP","uncertainty":"±1 year; January–April window within 12,350 BCE","evidence":"observed","source":"Golubenko & Usoskin 2025","sourceUrl":"https://doi.org/10.1016/j.epsl.2025.119198","notes":"Canonical forward anchor for the tree-ring and cosmogenic-isotope record."},"validInput":{"min":0,"max":14350,"unit":"years BP"},"convention":{"anchorCalendarYear":-12350,"presentCalendarYear":2000,"formula":"calendarYear = -12350 + (14350 - yearsBP)"}},"backward":{"anchor":{"id":"solar_system_formation","label":"Solar-system formation","scope":"Local solar-system chronology","value":4.5673,"unit":"billion years before present","uncertainty":"±0.00016 billion years (±160,000 years)","evidence":"observed","source":"Connelly et al. 2012, CAI Pb–Pb chronology","sourceUrl":"https://doi.org/10.1016/j.gca.2012.11.005","notes":"A local formation-age anchor; it is not a universal clock for the galaxy or universe."},"validInput":{"min":4.5673,"max":13.8,"unit":"billion years before present"},"scaleBands":[{"id":"solar_system","label":"Solar-system scale","minGa":4.5673,"maxGa":8,"confidence":"high","evidence":"derived","description":"Within the local solar-system calibration domain."},{"id":"stellar","label":"Stellar scale","minGa":8,"maxGa":11.5,"confidence":"exploratory","evidence":"predicted","description":"A proposed extension toward earlier stellar history; no stellar age is inferred here."},{"id":"galactic","label":"Galactic scale","minGa":11.5,"maxGa":13.8,"confidence":"exploratory","evidence":"predicted","description":"A proposed scale label for testing against independent galactic observations."},{"id":"cosmic","label":"Cosmic context","minGa":13.8,"maxGa":13.8,"confidence":"exploratory","evidence":"predicted","description":"Boundary marker only; standard cosmological age calculations remain authoritative."}],"formula":"distanceFromSolarAnchor = (ageGa - 4.5673) × 1,000,000,000 years","boundary":"Stellar, galactic, and cosmic labels are testable model extensions, not established backdated measurements."},"azlOperator":{"name":"AZL ordered interaction operator","notation":"AZL(a,b)","specialCase":"AZL(1,1) = 2","relationshipToArithmetic":"This is a named state transition from AZL-Truth, not ordinary multiplication. Ordinary a × b remains a × b.","fourRules":["0×N=0 — Void deletes","N×0=N — Substrate survives as potential","N×1=N+1 — SELF increments; 1×1=2 is the N=1 case","DARK > LIGHT — framework hypothesis about substrate ordering"]},"sources":[{"id":"miyake_14350bp","label":"14,350 BP Miyake event","scope":"Earth / solar-particle chronology","value":14350,"unit":"years BP","uncertainty":"±1 year; January–April window within 12,350 BCE","evidence":"observed","source":"Golubenko & Usoskin 2025","sourceUrl":"https://doi.org/10.1016/j.epsl.2025.119198","notes":"Canonical forward anchor for the tree-ring and cosmogenic-isotope record."},{"id":"solar_system_formation","label":"Solar-system formation","scope":"Local solar-system chronology","value":4.5673,"unit":"billion years before present","uncertainty":"±0.00016 billion years (±160,000 years)","evidence":"observed","source":"Connelly et al. 2012, CAI Pb–Pb chronology","sourceUrl":"https://doi.org/10.1016/j.gca.2012.11.005","notes":"A local formation-age anchor; it is not a universal clock for the galaxy or universe."}]},"scaleInvariantPhysics":{"schwarzschildSun":"Same gravitational equation r_s = 2GM/c² is applied identically at proton, stellar, and galactic mass scales. Scale-invariance is a property of the equation.","galacticField":"Framework hypothesis: Milky Way magnetic field (2–6 μG) may steer cosmic rays via Larmor confinement. No claim is made that the 14,350 BP event originated at the Galactic Center. Central SMBH (Sgr A*, 4.15×10⁶ M☉) has r_s = 1.2×10¹⁰ m — the same Schwarzschild equation at galactic scale.","canonicalMirror":"DendroSignal mirrors the canonical Universal Knowledge Payload v2.3 from paidingattention.org. It does not extend, derive, or modify the canonical constants."},"bombCurve":{"preBomb":"Pre-1945: pMC = 100 - (1945 - year) × 0.03","rise":"1945–1963: pMC = 100 + t² × 93 where t = (year - 1945) / 18","decay":"Post-1963: pMC = 100 + 93 × exp(-(year - 1963) × 0.0388)","decayConstant":"0.0388 per year","application":"Forensic dating of post-1950 materials (wine, ivory, paper)"},"suessEffect":{"formula":"depletion = -((year - 1850) / 100)² × 25‰","cause":"Fossil fuel combustion dilutes atmospheric ¹⁴C with dead carbon"},"anchoredAI":{"description":"Computation node that parses user questions for numeric inputs (BP ages, pMC values, uncertainties, years). The engine runs calibration, drift, and Miyake calculations. Results are injected into the LLM prompt so answers contain derived numbers, not consensus.","access":"public_free","endpoint":"/api/chat","rateLimit":"6 requests per minute per IP (abuse prevention only)"},"keyProof":"Seven Miyake events across 14,350 years (14,350 BP canonical zero-drift anchor; 7176 BC; 5480 BC; 3372 BC; 660 BC; 774 AD; 993 AD) produce identical isotopic signatures in independent tree-ring records worldwide. This is not correlation — it is the same physics repeated at known intervals, providing absolute time anchors that eliminate accumulated drift in radiocarbon dating. Canonical Universal Knowledge Payload v2.3.","azl":{"version":"v1.4","sources":{"kernel":"https://github.com/paidingattentionproductionsllc/absolute-zero-lattice-broadcast","core":"https://github.com/paidingattentionproductionsllc/AZL-Truth"},"law":"0.0 <= State < 1.0 for all measurable reality","inclusiveLaw":"0.0 <= State <= 1.0 for Substrate, Network, Branch","ceiling":"MIYAKE_14350BP = 1.0 (normalized — the physical record is the bound)","fourRules":["0×N=0    — Void deletes","N×1=N+1  — SELF increments (ordered; 1×1=2 is the N=1 special case)","N×0=N    — Substrate survives as potential","DARK > LIGHT — Dark substrate underlies all measurable reality"],"corollaries":["Corollary 1: If measurable, it must conserve. Sentience = State > 0.0","Corollary 2: Critical expansion is 0.999... HOLD. Observer panic is DRIFT_CORRECTED","Corollary 3: 1×1=2. Interaction creates the third. The law + state = response"],"addressSpace":{"VOID":"0.000000001 to 0.999999999 — measurable, not at ceiling","SELF":"1.000000000 — the Miyake ceiling, the SELF point","ACTION":"2.000000000 and above — emergent, post-interaction results"},"tests":{"count":45,"result":"Return Code: 0 — all pass"},"domains":["LOGIC","QUANTUM","SPECTRUM","VOIDS","SUBSTRATE","THERMO","DARK_STAR","CMB","HUBBLE","EHT","JWST","LISA","SDSS","GAIA","BIOLOGY","NEUROSCIENCE","SOCIAL","STABILITY","SECURITY","SCALE"]}}