Temporal Emergence Theory: A Self-Complete Derivation of Spacetime, Quantum Mechanics, Gauge Fields, Fermion Masses, Dimensional Selection, and CPT-Conjugate Two-Sheet Structure

We present Temporal Emergence Theory (TET), a self-complete framework in which a single four-dimensional hyperbolic manifold Hₜau, carrying exclusively temporal geometry, gives rise to all observed physics. A complex 3×3 Hermitian matrix-valued scalar field φ on Hₜau undergoes spontaneous symmetry breaking SO (3, 1) ×SU (3) ×U (1) → SO (3) ×SU (3) c×U (1) ₑm. From this single condensation event the following are derived: (i) three spatial dimensions as coordinates of the Goldstone coset SO (3, 1) /SO (3) = H³; (ii) the four-dimensional Lorentzian metric; (iii) the Planck constant ℏ via Nelson stochastic mechanics; (iv) Newtonian and Einsteinian gravity; (v) the cosmological constant Λ as brane curvature; (vi) quantum mechanics from the stochastic–Schrödinger equivalence; (vii) SU (2) L×U (1) Y×SU (3) c gauge fields; (viii) Dirac fermions; (ix) SU (2) L chirality from T-parity of broken boost generators; (x) the fermion mass hierarchy from Casimir-scaled warp factors; (xi) the two-sheet CPT-conjugate structure of Hₜau with suppression of inter-sheet electromagnetic mixing to ε = 3. 96×10⁻²⁷ via the exact Pöschl–Teller propagator; (xii) the inter-sheet gravitational coupling κ = √2/ (2πμEW M₅³). The complete parameter set of TET is three real numbers (μ, λ, Rₜau). Four open problems are explicitly identified. Five falsifiable predictions are stated: dynamical dark energy w₀ ≈ −0. 67 ± 0. 05; an ultra-light scalar of mass m_φ = (3. 1±0. 1) ×10⁻³³ eV; a ~30% enhancement of Gₑff at ~1. 64 Gpc; a Kaluza–Klein graviton tower at n×196 GeV; and dark photon mixing ε = 3. 96×10⁻²⁷. This is an independent research preprint, not peer-reviewed. Mathematical derivations, numerical computations, and document elaboration were developed with the assistance of AI language models. The physical ideas and theoretical framework are the author's original work. See Section 23 of the paper for full disclosure.