Version of July 9th, 2026, following technical development within the Absolute Frame Theory programme. We show that the gauge structure SU (3) c × SU (2) L × U (1) Y of the Standard Model emerges as a topological property of the embedding interface between a four-dimensional observable manifold M and a higher-dimensional substratum A, as posited by the Absolute Frame Theory (AFT) P. E. Valenzuela, preprint. Analyzing the fiber-bundle structure of the immersion X: M → A, we identify the structure group of the normal bundle as SO (N−4), and demonstrate that three requirements—gauge containment, chirality of the Standard Model, and anomaly-freedom of one fermion generation—force N=14 as the minimal admissible dimension: the four tangent directions reproduce spacetime and the induced metric g_μν = ∂_μ X · ∂_ν X, while the ten normal directions carry an internal SO (10) grand-unified structure. We further show that (i) the natural connection on the normal bundle is an so (N−4) -valued one-form, whose components are the internal gauge fields; (ii) the Nyquist mode of the channel between M and A induces a compatible complex structure on the ten-dimensional normal fiber whose stabilizer in SO (10) is U (5) ≃ (SU (5) × U (1) ) /ℤ₅, the Georgi–Glashow group, realizing the full SU (5) grand-unified group ⊃ SU (3) c × SU (2) L × U (1) Y as a derived geometric consequence, with color SU (3) × U (1) recovered on the SO (6) ⊂ SO (10) sub-block; (iii) the chiral electroweak factor SU (2) L is an internal factor of the normal SO (10), commuting with the reconstructed Lorentz group by tangent/normal orthogonality exactly as color does, with the observed weak chirality arising as a correlation between the internal 16 and the spacetime chirality of the Spin (14) frame-spinor 64 = (2, 1;16) ⊕ (1, 2;16̄) ; and (iv) the hypercharges of the Standard Model fermions are derived as Y = 2T³R + (B−L), with explicit numerical verification for the eight fermions of a generation and sin²θW = 3/8 at the unification scale. A Gödelian analysis of lower dimensions shows that chirality and anomaly-freedom, not dimensional counting alone, place the structural lower bound at N=14. The framework inherits SO (10) grand-unified phenomenology; its headline falsifiable prediction is proton decay p → e⁺π⁰ at a rate just above the current Super-Kamiokande bound and within Hyper-Kamiokande reach. The dimension N=14 and the Spin (4) × Spin (10) skeleton coincide with the graviweak unification programme, although AFT realizes them by a distinct embedding mechanism in which gravity is not gauged and the Coleman–Mandula theorem is respected. These results, combined with the entropic-gravity derivation of the embedding tension in the foundational paper of the AFT framework, close Conjecture VI of that work: no fundamental forces exist within M; all four interactions are manifestations of the same underlying M–A embedding structure.
Patricio E. Valenzuela (Sat,) studied this question.