Luke Martin

Four Closing Theorems: Anomaly, Generations, Gravity, and the Continuum Limit (Withdrawn as Proof)

Version 2.0 withdraws all four theorems of this paper as proofs, following the external referee audit of 6 October 2026 (prepared for Prof. Pablo Moscato, University of Newcastle; one automated reviewer). Theorem 60.1: the paper computes {T, Γ5} = 4iI exactly and then states that...

The Central Theorem: From Foam to the Standard Model (Withdrawn as Proof)

Version 3.0 withdraws the composite five-step argument of this paper as a proof. An external referee audit of the public repository found that the gauge group is assumed in the inter-cell link variables rather than derived from the face graph (Steps 1 and 5); that the displayed g...

The Standard Model from One Matrix: S = ψ†L_Tψ

Version 3.0 (6 October 2026): the neutrino mass m3 is now compared with √Δm²31 = 50.28 ± 0.33 meV, the correct reference when m1 = 0, giving −2.4σ (see Paper #47 v2.0, DOI 10.5281/zenodo.23176405); references to unpublished internal review notes have been removed, so nothing in t...

UFFT Paper #45 — The Void Channel: Entanglement from the Antipodal Map: The Lattice Hamiltonian H = L + η(I − V) and the Two Propagation Channels of the Foam

The Axiom Zero decomposition B + V = D (Bubble + Void = Displacement) is shown to map directly onto a two-channel lattice Hamiltonian H = L + η(I − V), where L is the face Laplacian (wall-mediated propagation) and V is the antipodal partner-face map (void-mediated correlation). T...

The Standard Model from One Matrix: S = ψ†L_Tψ

Version 3.0 (6 October 2026): the neutrino mass m3 is now compared with √Δm²31 = 50.28 ± 0.33 meV, the correct reference when m1 = 0, giving −2.4σ (see Paper #47 v2.0, DOI 10.5281/zenodo.23176405); references to unpublished internal review notes have been removed, so nothing in t...

The Uniqueness of the Foam Cell: Exhaustive Face Laplacian Check of All Fedorov Parallelohedra

Version 3.0 (6 October 2026): the printed formula C_A = F_hx/F − 1 does not evaluate to 3 and is withdrawn; C_A = 3 is dim(T2g), the colour number, and the sum identity r1 + r2 = 9 = C_A² is unchanged. References to unpublished internal review notes have been removed. The indepen...

The Central Theorem: From Foam to the Standard Model (Withdrawn as Proof)

Version 3.0 withdraws the composite five-step argument of this paper as a proof. An external referee audit of the public repository found that the gauge group is assumed in the inter-cell link variables rather than derived from the face graph (Steps 1 and 5); that the displayed g...

Void Network Geometry and Bell Non-Locality: Withdrawal of the c√(3/2) Propagation Speed

Version 1.0 of this record claimed that the octahedral-void network of the BCC Planck foam has nearest-neighbour spacing shorter than the bubble spacing, and that voids therefore propagate at c_V = c√(3/2) ≈ 1.22c, supplying a finite-speed mechanism for Bell non-locality. That re...

Void Network Geometry and Bell Non-Locality: Withdrawal of the c√(3/2) Propagation Speed

Version 1.0 of this record claimed that the octahedral-void network of the BCC Planck foam has nearest-neighbour spacing shorter than the bubble spacing, and that voids therefore propagate at c_V = c√(3/2) ≈ 1.22c, supplying a finite-speed mechanism for Bell non-locality. That re...