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The published foundations of TFPT

Read the original registered statements beside their paper sections, assumptions and verification sources. The later reviewed research stays connected through a separate record.

Start with the published construction

The foundations include the carrier, E₈, flavour, alpha, quantum structure, gravity and cosmology. Open an area to follow its registered statements into the papers and verification sources.

These are authored navigation links. The complete register contains 783 active claims; 723 do not yet have an authored topic assignment and remain searchable.

Search the complete foundation register

783 matching active claims. Showing at most 20 per page. Original statement text and long numerical details open within each claim.

Origin Theory

Origin Theory

Original identifier and classification

SEAM.EQUIV.CLOSURE.01Analysis/roadmap [E]/[O] (the flat->spherical base locus; four closure modes; no free theorem; only rigidity B or axiom P3; NOT closed)

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Origin Theory

Origin Theory

Original identifier and classification

SEAM.EQUIV.GEOM.01Capstone/roadmap [E]/[O] (5 of 6 links theorems; the group forced by the icosahedral atoms; the keystone reduced to the single orbifold-realisation arrow L2 = SEAM.EQUIV.01)

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Origin Theory

Origin Theory

Original identifier and classification

SEAM.DETK.02Execution of R3 [E]/[O] (combinatorial core complete: homology-sphere link via SNF + 2I perfect = Poincare sphere; geometric bridge stays SEAM.EQUIV.01)

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Origin Theory

Origin Theory

Original identifier and classification

SEAM.DETK.01Synthesis/roadmap [E]/[C]/[O] (one bit/six faces; genus-1 obstruction; three access routes; hypergraph the fresh one; no closure)

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence

Origin Theory

Origin Theory

Original identifier and classification

FOUR.ROUTES.01Analysis/roadmap [E]/[C]/[O] (none closes all or is 100% provable; all four converge on SEAM.EQUIV.01 + the decoupled QG contour)

No authored topic assignment in this snapshot.

Read the statement, conditions and evidence