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AUDITED RESULTS LOG — ALCHEMICAL GEOMETRY
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Created: 2026-03-21
Status: Inherits audited results from core TLT
Focal Points: The Geometric Cipher, The Compass, The Periodic Table

This log tracks audited results for the alchemical geometry project.
Entries promoted from core TLT were previously audited (triple-audit:
Claude self-audit, Gemini, Grok).
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ENTRY 1: GEOMETRIC CIPHER — 133 ELEMENT VALIDATION (from TLT)
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Date: 2026-03-17 (promoted to alchemical geometry 2026-03-21)
Original TLT entries: 1-9 in core audited_results_log.txt
Files: results/audited/cipher/GEOMETRIC_CIPHER_MASTER.txt
       results/audited/cipher/CIPHER_VALIDATION_REPORT.txt
       results/audited/cipher/alchemical_geometry_logic.txt

AUDITORS:
  Claude (self-audit): 8/10
  Gemini (Google): 8/10 (equations 10/10)
  Grok (xAI): 9/10

KEY RESULTS:
  - 133 elements classified by {2,3} decomposition
  - 89.6% accuracy across 173 testable predictions
  - Conductor rule: 100% (67/67 metallic elements)
  - FCC ductility: 100% exact
  - All rankings exact (superconductor, resistivity)
  - 5 archetypes: FCC(12), BCC(8), HCP(12), Diamond(4), A7(6)
  - N=5 matches zero natural elements (0/133)


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ENTRY 2: PERIODIC TABLE FULL SUITE — 118 ELEMENTS (from TLT)
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Date: 2026-03-17 (promoted to alchemical geometry 2026-03-21)
Code: tests/audited/periodic_table/periodic_table_full_suite.py
Files: results/audited/periodic_table/periodic_table_full_data.txt
       results/audited/periodic_table/PERIODIC_TABLE_DESCENDANT_TREES.txt
       results/audited/periodic_table/STRUCTURAL_FREQUENCY_MAP.txt
       results/audited/periodic_table_images/

KEY RESULTS:
  - 118 elements with computed Compton frequencies
  - Lattice structure mapping for all elements
  - Descendant trees showing harmonic relationships
  - Structural frequency map (principal cone + overlays)


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ENTRY 3: SPIRAL COORDINATE — 30 d-BLOCK ELEMENTS (from TLT)
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Date: 2026-03-18 (promoted to alchemical geometry 2026-03-21)
Original TLT entry: verified item 10

KEY RESULTS:
  - 3rd cone coordinate (spiral phase = spin via SO coupling) discovered
  - Cipher accuracy improved: 87.8% -> 96.9%
  - 9 elements corrected (Tc, Ru, Rh, Sm, Re, Os, Ir, Hg, Po)
  - 0 regressions
  - Position-dependent threshold: SO > 200 meV triggers shift


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ENTRY 4: AMPLITUDE MODEL — MELTING POINTS (from TLT)
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Date: 2026-03-18 (promoted to alchemical geometry 2026-03-21)
Original TLT entry: verified item 14

KEY RESULTS:
  - T_melt(K) = alpha(archetype) x E_coh(eV)
  - Universal alpha = 412 K/eV (R^2 = 0.92, N = 30)
  - BCC = universal pre-melting phase
  - Alloy validation: W-Mo 1.4% error, Water 0.4% error


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END OF LOG — 2026-03-21 (ENTRIES 1-4 PROMOTED FROM TLT)
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