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+ ---
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+ language:
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+ - en
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+ license: apache-2.0
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+ tags:
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+ - research-paper
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+ - formal-verification
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+ - cryptography
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+ - subleq
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+ - topology
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+ - braid-groups
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+ - rsa
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+ - ecdlp
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+ - lean4
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+ - smt
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+ - forge-tournament
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+ - sovereign
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+ - snapkitty
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+ - constraint-reverse-engineering
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+ task_categories:
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+ - other
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+ size_categories:
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+ - n<1K
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+ pretty_name: From Sacred Geometry to Silicon — Forge Tournament Research Paper
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+ ---
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+
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+ # From Sacred Geometry to Silicon
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+
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+ **Reverse-Engineering Computational Constraints from Ancient Numerical Systems to Topological Cryptography**
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+
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+ A Forge Tournament Research Paper — SnapKitty West / SNAPKITTYWEST — 2026
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+
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+ ---
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+
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+ ## Summary
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+
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+ 25-section, ~30-page LaTeX research paper investigating the thesis that radically different computational traditions can be compared through their treatment of **constraints, state, transformation, and representation**.
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+
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+ ## Tournament Contestants
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+
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+ | Contestant | Domain |
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+ |---|---|
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+ | A: Ancient Numerical Systems | Babylonian base-60, accounting, astronomy |
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+ | B: SUBLEQ | Single-instruction universality |
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+ | C: Lambda Calculus | Symbolic substitution |
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+ | D: Turing Machine | State + tape + transition |
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+ | E: DAG Execution | Dependency ordering, deterministic scheduling |
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+ | F: Formal Verification | Lean 4, SMT, zero-sorry proofs |
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+ | G: Topological Computation | Braid groups, Yang-Baxter, anyons |
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+ | H: Mobius Bridge | Experimental topological crypto framework |
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+
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+ **Winner: Formal Verification** (highest scores on precision, constraint transparency, cryptographic relevance)
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+
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+ ## Central Thesis
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+
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+ The connection between ancient geometry, minimal machines, formal computation, and cryptography is **methodological**:
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+
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+ 1. Represent the structure
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+ 2. Identify the constraints
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+ 3. Transform the representation
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+ 4. Execute the transformation
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+ 5. Verify the result
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+ 6. Measure what actually happened
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+
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+ ## Evidence Standard
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+
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+ All claims are classified by evidence level (1=Conjecture through 7=Replicated). No cryptographic breaks are claimed without reproducible demonstration. Failed experiments are reported as valid results.
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+
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+ ## Key Tables
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+
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+ - Computational paradigms comparison (8 paradigms x 5 properties)
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+ - Mathematical concept to cybersecurity translation (15 concepts)
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+ - RSA security assumptions
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+ - ECDLP security assumptions
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+ - Mobius Bridge component evidence classification
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+ - Forge Tournament scoring (11 criteria x 8 contestants)
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+ - Evidence classification (7 levels)
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+ - Experimental reproducibility requirements
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+
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+ ## Source
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+
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+ GitHub: https://github.com/SNAPKITTYWEST/forge-tournament-paper