Topological Fixed-Point Theory (TFPT) — A Discrete Compiler for the Constants of Physics
Reading guide, status assessment, and the dependency DAG
Stefan Hamann
Stefan Hamann is a coauthor of the TFPT publication set and maintains the public TFPT repository. His earlier TFPT release is recorded in the Zenodo archive.
TFPT publications
These documents are coauthored with Alessandro Rizzo. Each paper retains its own assumptions, result scope, PDF release and verification references.
Architecture and the E₈ Compiler
The structured boundary source, shared origin, and D₅ × A₃ → E₈ construction
The Standard Model from the Compiler
The φ₀-ladder, flavor from parabolic transport, and the worked closures
E₈ Audit, Cascade Bridge and Bootstrap
The seven E₈ slices as an audit raster, the cascade spine, the Möbius loop — and the thirty-one-step celestial/twistor route with the measure chain derived
Frontier Items
η_B, the Higgs quartic, m_p/m_e, Koide, dark matter and quantum gravity — honest status
Red Team — The Adversarial Audit
Targets A–E, the QFT round (F) and the seam round (G): attacking the load-bearing reductions at their weakest transitions
Appendix H — The Horizon Unit System
One seam constant c₃ = 1/(8π) as the universal horizon thermal code
Origin Theory
The seam as a horizon, the cyclic compiler hull, and the parameter-free attractor
Research Contracts for the Remaining Interfaces
v_geo · G_net · F_transfer — compiler rest; Rest_TOE — the strict-physical-TOE contract accounting
Safeguards against Coincidence and Numerology
The verification discipline — every mechanism that defends a load-bearing claim against chance, fitting and over-reading
The Gaussian Code Bridge: E₈ over ℤ[i], the Extended Hamming Code, and a Four-Bit Information Layer
Construction A, the μ₄ complex structure, and the code that builds the lattice returning as its message space — exact algebra, machine-certified
Read and assess the work
The research method distinguishes mathematical statements, numerical checks and physical interpretations. Original sources and the status ledger determine the scope of each result.