Theory of Horizons: Quantum Gravity, the Standard Model, and Born Statistics from Octonionic Self-Dual Finite Horizons

We propose a foundational framework that unifies quantum mechanics, the Standard Model, and general relativity under a single ontological premise. The theory is grounded in two axioms: (O1′) the universe is a single, static, time-neutral relational totality structured as an infinite recursive octonionic-quaternionic-complex fractal with Fano point-line self-duality; and (O2) physical observables arise from finite, non-injective coarse-graining readouts (horizons) embedded within this totality. Within this framework, the arrow of time emerges as an inevitable geometric consequence of information deficit (\Delta J = ab > 0) under fine-to-coarse resolution transformations, modeled as a rapid succession of static slices. Quantum noncommutativity and the Born rule are uniquely determined by the complex matrix algebra of finite-horizon effects and the irreducible representations of continuous symmetry, bypassing the need for fundamental stochasticity. The Standard Model gauge group S(U(3)\times U(2)) and one chiral generation of 16 Weyl fermions emerge naturally from the exceptional Jordan algebra and even exterior algebra. Three generations and CP violation arise from two-layer invariant tensors and cross-horizon dualities. Dark matter is identified with a stable exchange-odd sector of three-layer invariants. Furthermore, gravitational dynamics are derived from the projected Levi-Civita connection of the effective tangent bundle, yielding de Sitter vacuum solutions. The cosmological constant problem is resolved via a dual UV-IR projection mechanism that suppresses the vacuum energy by a factor of (l_P/L_*)^2, naturally yielding the observed 10^{-122} scale. This framework demonstrates that the fundamental structure of reality is not a dynamical process, but a static, hyper-deterministic algebraic geometry whose effective manifestation is experienced as the physical universe.