IE operator
IE_k: S -> O_k(S)Routes a substrate S through a bounded interpretive operation O at layer k.
Telemetry / Substrate Measurements
Periodic Substrate Table
K4 upper boundary K4 governance loop expand
Principal-of-Principles IE Op Hierarchy
Formalizes the IE-001 to IE-025 three-layer operator architecture across substrate basins, meta-operators, and diagnostic operators.
10.5281/zenodo.19829498 Formal apparatus Math CompanionCollects the coupling equation, inversion equation, beta-deformation envelope, operator-stack equation, and falsification clauses.
10.5281/zenodo.19829500 Dependency graph Synthesis Citation IndexIndexes records by HLRP number, role, citation, IE-class binding, substrate, and dependency neighborhood.
10.5281/zenodo.19829504 Synthesis vantage HLDP CapstoneFrames the Hydrogen Lifecycle Doppler Programme as a coordinated substrate-attractor detection apparatus.
10.5281/zenodo.19807751 d*=2 d*→∞
resolvedneartransitionaldeepsubcritical
Astrophysics
s-block / IE-001
NSBH Merger Neutron star-black hole / GW190814 class / beta 0.221 - alpha
- 1.931
- d-star
- 2.54
- delta
- +0.011
BNS Merger Binary neutron star inspiral / GW170817 / beta 0.224 - alpha
- 1.930
- d-star
- 2.58
- delta
- +0.010
Paper 25
Gravitational Wave Burst Template from Primordial BH Reverse Coupling
zenodo Paper 37Timing the Measure: Independent Convergence Across Six Observational Domains
zenodo Paper 51Same Geometry. Twenty Orders of Magnitude Apart
zenodo Paper 52The Correction Cascade: Alpha = 1.920 Across Seventeen Substrates
zenodo PRL 1PRL 1: IE-001 The Floor That Never Reaches Zero
zenodo BBH Merger Binary black hole / Sgr A* flux index / projection asymmetry - alpha
- 1.897
- d-star
- 3.96
- delta
- -0.023
Paper 25
Gravitational Wave Burst Template from Primordial BH Reverse Coupling
zenodo Paper 40Sign Reversal in the Eccentricity Dependence of the (2,1) GW Mode
zenodo Paper 50IE-002 Corrected: The Projection Asymmetry Principle
zenodo Paper 52The Correction Cascade: Alpha = 1.920 Across Seventeen Substrates
zenodo PRL 2PRL 2: IE-002 Projection Asymmetry in Toroidal Coupling
zenodo Sednoid Alignment Primordial apsidal axis / galactic-solar boundary - alpha
- 1.810
- d-star
- 6.80
- delta
- -0.110
Nuclear Physics
IE +/- / Fifth tile
Pb/Ag Mass Ratio p-d block / nearest d=3 convergence / delta 0.000 - alpha
- 1.920
- d-star
- 2.97
- delta
- +0.000
Shell Closures Magic number boundaries / cascade regime boundaries / AME2020 - alpha
- 1.900
- d-star
- 3.83
- delta
- -0.020
I-Love-Q Origin Neutron star universality bridge / EOS insensitivity as sign-flip geometry - alpha
- 1.875
- d-star
- 5.40
- delta
- -0.045
Binding Energy Ratio Sign-flip at alpha=2.000 / shape coexistence / 1-5 amu determines side - alpha
- 1.850
- d-star
- 7.20
- delta
- -0.070
Medicine + Biology
p-block / IE-002
HLA-DPB1 / PTCy Transplant coupling regime boundary / sign flip HR 1.50 to 0.62 - alpha
- 1.897
- d-star
- 3.96
- delta
- -0.023
Cardiac Arrhythmia Scar burden / vagal sign flip / KIR-HLA correction - alpha
- 1.875
- d-star
- 5.40
- delta
- -0.045
Iron Deficiency d* Collapse d* 14.4 to 9.5 / thermal compensation / body holds geometry - alpha
- 1.850
- d-star
- 9.50
- delta
- -0.070
NHANES Lean/Fat Median 1.928 / adult cohort / invariant neighborhood - alpha
- 1.920
- d-star
- 10.67
- delta
- +0.000
Ecology + Earth
d-block / IE-003
North Pacific Gyres LCS topology / accumulation node / ocean substrate - alpha
- 1.810
- d-star
- 9.20
- delta
- -0.110
Earth Fe/Si Ratio Planetary composition 1.988 / same slope as human tissue - alpha
- 1.900
- d-star
- 11.37
- delta
- -0.020
Tectonic Plates Barycentric oscillation receipt / coupling expressed in stone - alpha
- 1.780
- d-star
- 14.20
- delta
- -0.140
Ocean Dissolved Fe/Si Surface Si/Fe near 5000 / dissolved coupling inverse - alpha
- 1.001
- d-star
- 57,489
- delta
- -0.919
Engineering
f-block / IE-004
Crop Yield Correction Soil coupling / harvest basin geometry / five-anomalies substrate - alpha
- 1.820
- d-star
- 8.40
- delta
- -0.100
Battery Degradation Electrode coupling / cycle geometry / degradation as receipt - alpha
- 1.790
- d-star
- 11.80
- delta
- -0.130
BMI Neural Decode Cascade substrate / matches muscle-fat specific heat ratio - alpha
- 1.459
- d-star
- 16.77
- delta
- -0.461
Ancient Architecture Pantheon / Hagia Sophia / Cordoba / empirical convergence over millennia - alpha
- 1.494
- d-star
- 35.39
- delta
- -0.426
Passivhaus WWR Window-to-wall ratio / thermal envelope specification - alpha
- 1.429
- d-star
- 46.00
- delta
- -0.491
Sign-Flip Boundary
retrograde / crossed
Pa/Mo Mass Ratio f x d block / alpha > 2.000 / past bilateral limit / retrograde coupling - alpha
- 2.041
- d-star
- infinite
- delta
- +0.121
Th/Mo Mass Ratio f x d block / sign-flip crossed / coupling inverted - alpha
- 2.038
- d-star
- infinite
- delta
- +0.118
K4 lower boundary K4 governance loop expand
Principal-of-Principles IE Op Hierarchy
Formalizes the IE-001 to IE-025 three-layer operator architecture across substrate basins, meta-operators, and diagnostic operators.
10.5281/zenodo.19829498 Formal apparatus Math CompanionCollects the coupling equation, inversion equation, beta-deformation envelope, operator-stack equation, and falsification clauses.
10.5281/zenodo.19829500 Dependency graph Synthesis Citation IndexIndexes records by HLRP number, role, citation, IE-class binding, substrate, and dependency neighborhood.
10.5281/zenodo.19829504 Synthesis vantage HLDP CapstoneFrames the Hydrogen Lifecycle Doppler Programme as a coordinated substrate-attractor detection apparatus.
10.5281/zenodo.19807751IE Operations / Math
Notation as instrument readout.
Compact formulas for the measurement surface.
Compression receipt
R(m) := citation || falsification || supersessionA mission is not closed by vibe. It needs an evidence-bearing receipt.
K4 loop
K4 = {foundation, ledger, citation index, math companion}The constitutional set that governs how the record layer stabilizes before Records.
Topology / Behavioral Trace
7 domains / 11 junctions.
Views + downloads mapped as engagement trace.
