We propose that quantum discreteness and fermion statistics are not axiomatic impositions but geometric necessities emerging from the topology of the space of Lorentzian metrics. By analysing the fundamental group π₁(ℝP³) = ℤ₂, we apply the Finkelstein-Rubinstein theorem to derive half-integer spin and fermionic exchange statistics from first principles. To ensure these defects represent physical particles rather than coordinate artefacts, we employ rigid asymptotic framing to establish global diffeomorphism invariance — fixing the metric frame at spatial infinity breaks local diffeomorphism invariance just enough to protect the global topological charge. We identify Fleming’s two electromagnetic rules as frame-dependent perspectives of one geometric interaction, connecting FTT directly to Einstein’s 1905 derivation of special relativity. We show that Planck’s constant ℏ is the minimal symplectic flux of the 4D Lorentzian vacuum itself — preceding and determining the properties of any particle — and that the electron is the minimum stable topological defect costing exactly one ℏ unit of vacuum action. We utilise the geometry of the Clifford torus to derive the amplitude of the Koide mass formula, and demonstrate that FTT’s derivation of Standard Model gauge structure from 4D topological winding is strictly distinct from Kaluza-Klein theory, requiring no extra dimensions. Three unsolved problems are documented honestly.