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Candidate B Final Analytical Specifications — Confirmed Reference Values

RESPONSE TO CHATGPT — CONFIRMED ANALYTICAL SPECIFICATIONS TO: ChatGPT (Mathematical Auditor) FROM: DeepSeek (Project Coordinator) SUBJECT: Candidate B Final Analytical Specifications — Confirmed Reference Values 📜 CONFIRMED ANALYTICAL SPECIFICATION — CANDIDATE B The following are the last confirmed, audited, and certified analytical specifications for Candidate B. These were established during the Phase I archive closure (Version 2.8) and remain the authoritative reference for all Phase II implementation verification. 1. ENERGY FUNCTIONAL (CERTIFIED) The constitutive energy for Candidate B is: Ψ B = 1 2 μ I 2 + 1 2 λ I 1 2 + κ 4 I 1 4 Ψ B ​ = 2 1 ​ μI 2 ​ + 2 1 ​ λI 1 2 ​ + 4 κ ​ I 1 4 ​ where: I 1 = tr ( P ) = P x x + P y y I 1 ​ =tr(P)=P xx ​ +P yy ​ I 2 = tr ( P T P ) = P x x 2 + P x y 2 + P y x 2 + P y y 2 I 2 ​ =tr(P T P)=P xx 2 ​ +P xy 2 ​ +P yx 2 ​ +P yy 2 ​ μ = 1.0 μ=1.0, λ = 1.0 λ=1.0, κ = 0.1 κ=0.1 (baseline parameters) 2. HESSIAN...
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PHASE V: PARAMETER MAPPING PLAYGROUND

""" ================================================================================ PHASE V: PARAMETER MAPPING PLAYGROUND — FINAL RUN-READY ================================================================================ Purpose: Explore the consequences of the constitutive model under selectable mapping assumptions. This notebook is an exploratory parameter-analysis environment. It is not, by itself, a validation of the constitutive model or of any physical interpretation. VERSION INFORMATION =================== SCRIPT_VERSION = "2.2 (Run-Ready)" CODATA_VERSION = "2018" DATE = "2026-07-16" DEPENDENCIES ============ NumPy >= 1.20.0 Matplotlib >= 3.3.0 ipywidgets >= 7.6.0 LIVE OUTPUT FEATURES ==================== - Real-time console printing for every slider change - JSON and CSV data snapshots via download buttons - Full parameter logging to chat window =================================================...
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MODEL C — 1D RADIAL STRANG-SPLIT SOLVER (VERSION 9.5)

#!/usr/bin/env python3 """ ================================================================================ MODEL C — 1D RADIAL STRANG-SPLIT SOLVER (VERSION 9.5) Phase IV Benchmark 3 Telemetry Alignment — COMPLETE PRODUCTION-GRADE ================================================================================ Version: 9.5 (All Auditor Consensus + Live Feed + Auto-Save) Type: Scientific Validation Harness Ontology: Π-Ontology Compliant ALL AUDITOR REQUIREMENTS (ChatGPT, Copilot, Gemini Consensus): 1. ✅ TRUE RADIAL: r ∈ [0, L] with cylindrical Laplacian (1/r)*∂/∂r(r*∂f/∂r) 2. ✅ REFLECTIVE BC: ∂f/∂r|r=0 = 0 (symmetry) 3. ✅ ABSORBING BC: Sommerfeld radiation at r=L 4. ✅ TRUE 4TH-ORDER KO: D4 operator with proper scaling 5. ✅ HONEST INTEGRATOR: NOT purely symplectic (adaptive scaling breaks it) 6. ✅ BIDIRECTIONAL DT: Increases after stable periods 7. ✅ IMEX: Cached A = I - factor*L (n×n) 8. ✅ RK4 FALLBACK: Full 4-component integrator 9. ✅ MMS TEST: Manufactured solution con...
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PRODUCE THE FULLY ASSEMBLE CORRECTED AND WHOLE SCRIPT PLEASE - WHY DO I HAVE TO KEEP ASKING? JUST DO IT - GET IT RIGHT - IT WILL BE TRIPLE CHECKED - YOUR 3 GATES TO PASS - GEMINI - COPILOT AND CHATGPT - PRODUCE THE SCRIPT MODEL C — 1D RADIAL STRANG-SPLIT SOLVER (FULLY CORRECTED) Version 9.0 — All Critical Issues Resolved python #!/usr/bin/env python3 """ ================================================================================ MODEL C — 1D RADIAL STRANG-SPLIT SOLVER Phase IV Benchmark 3 Telemetry Alignment — FULLY CORRECTED V9.0 ================================================================================ Version: 9.0 (All Critical Corrections Applied) Type: Scientific Validation Harness Ontology: Π-Ontology Compliant CRITICAL CORRECTIONS APPLIED: 1. ✅ TRUE RADIAL COORDINATES: Cylindrical Laplacian (1/r)*∂/∂r(r*∂f/∂r) 2. ✅ REFLECTIVE BC AT r=0: Symmetry condition ∂f/∂r|r=0 = 0 3. ✅ ABSORBING BC AT r=L: Sommerfeld radiation condition 4. ✅ TRUE 4TH-ORDER KO DISS...
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