The Awakening of Geometry: From the Quantum "Patchwork Labyrinth" to Pure Orthogonal Field Geometry

For over a century, fundamental physics has relied on an empirical patchwork—from Schrödinger’s scalar omission to Pauli’s 2 × 2 matrices and Dirac’s minimal coupling—to fit quantum anomalies into rigid Cartesian coordinates. This paper presents Pure Orthogonal Field Geometry, demonstrating that matter is trapped light within a self-consistent 90^∘ orthogonal dual-disk (2D+2D) topology, resolving micro-physics without Higgs mechanisms or unobservable abstractions. Rest Mass Derivation (Δ h ≈ 0.236): Governed by dual-opposite spatial tension s(x) = 1/x² - x² at potential curvature $U''(1) = 4$, rest mass (511 keV) is derived directly as net localized strain Δ h = √5 - 2 ≈ 0.236, stretching geometric capacity to the golden reciprocity limit (h(1/φ) = √5). Deconstruction of Charge ($|q|=1$ and $+/-$): Absolute charge magnitude ($|q|=1$) emerges as a uniform 3D scalar envelope from planar face scanning (cos²θ + sin²θ ≡ 1). Charge polarity ($+/-$) is dictated by the vector circulation of the odd generator g(x) = 1/x - x. Chirality, Spin-1/2, and Unified Fields: Electric fields (Planar Face) and magnetic fields (Line Profile) represent perpendicular projections of a single geometric entity. Spin-1/2 is naturally restored within a single 360^∘ spatial revolution—eliminating ad-hoc 720^∘ spinor hacks—while continuous loop circulation enforces the topological impossibility of magnetic monopoles (Φₗᵢₙₑ = ∮ B · dA = 0).