This synthesis surveys and integrates a multi-year research programme that attempts to derive the structural foundations of the Standard Model and gravity from a single geometric postulate: stable particles are compact Möbius surfaces with light-speed-constrained flow fields embedded in three-dimensional Riemannian manifolds. The synthesis is organised into five layers descending from this single postulate:(i) topological classification and the geometric origin of mass;(ii) spin and fermionic statistics from Z₂ normal-bundle holonomy;(iii) an algebraic root {Lᵢ, Lⱼ} = ½δᵢⱼ whose two faces are the flat operator metric of physical space and the Clifford algebra of the Dirac equation;(iv) the gauge group U(1) × SU(2) × SU(3) as a geometric exhaustion (lower bound established as Class A theorems; upper bound conditional on a three-dimensionality constraint);(v) cosmological consequences and three falsifiable predictions (T1: phase correlation Δφ = π in e⁺e⁻ annihilation; T5: no fourth fermion generation; T6: dark energy w = -1). A separate section establishes, from minimal dynamical axioms, the complex structure underlying unitary quantum dynamics; its connection to the geometric framework is itself an open problem. Each result in the synthesis is labelled with one of four classes — Class A (rigorously proved), Class A* (analytic skeleton with one numerical or unaudited step), Class B (conditional on identifications), or Open Problem. The synthesis covers approximately 24 underlying manuscripts, several of which are currently undergoing peer review. The framework does not yet derive the Standard Model coupling constants, the fermion mass hierarchy, or Newton's gravitational constant. Open problems are explicitly identified throughout. This is Working Draft v2 (April 2026). It synthesises the structural content of the research programme to make it accessible for external mathematical-physics review.