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.
Spacetime
26 authored claim references in the foundation record. The membership comes from explicit Atlas authoring relations.
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26 matching active claims. Showing at most 20 per page. Original statement text and long numerical details open within each claim.
The conditions for full physical completion
TFPT — Introduction and reading guide
Original identifier and classification
TFPT.TOE.COMPLETE.01Open (research contract; named AND of eight gates; no closure, no marker move) | Round-3 v1022-v1025 adds certified subgates and no-gos only; Round-4 v1026-v1030 adds narrow proved and conditional subresults only; all T1-T8 gates and TOE remain Open [O].
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe finite mirror projector candidate
TFPT — Introduction and reading guide
Original identifier and classification
CHIRAL4D.MIRROR.DET16.01Candidate [C] (exact finite-cluster gapping; open: dynamical gauge fields, domain-wall geometry, 4D volume theorem) | Round-3 v1023 is a separate finite block lemma and does not upgrade DET16.
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe charged scaling limit and Type III identification
TFPT — Introduction and reading guide
Original identifier and classification
SEAM.MMST.TYPEIII.CHARGED.01Open (research contract; master scaling-limit theorem; children listed here not back) | Round-3: C1/C2a/TV and scalar C2b subclaims proved [E]; ALG2 implication refuted [X]; CF/DG and ALG-EXH remain Open [O].
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe specified free curvature field target
Frontier and open physical interfaces
Original identifier and classification
GRAV.FREE.CURVATURE.FOCK.01Identity in declared zero-mean free target [E]; TFPT identification [O]
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidencePositive transverse curvature on the null cone
Frontier and open physical interfaces
Original identifier and classification
GRAV.FREE.CURVATURE.COVARIANT.01Identity in declared free continuum target [E]; TFPT identification [O]
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidenceThe linear source Ward identity in the tensor target
Frontier and open physical interfaces
Original identifier and classification
GRAV.LINEAR.SOURCE.WARD.01Identity for prescribed-source linear target [E]; finite regressions [N]; dynamical quantum coupling [O]
Topic connection recorded by an authored Atlas relation.
Read the statement, conditions and evidence