This paper presents a foundational, pre-geometric hydrodynamic framework that models spacetime geometry, gravity, and quantum phenomena as emergent thermodynamic properties of an 8-dimensional non-associative fluid vacuum. Parameterized by complexified octonions (the bioctonions), the state space transitions from linear Hilbert spaces to the power-associative matrix algebra of the 27-dimensional Exceptional Jordan Algebra (J3(O)), bound by an F4 automorphism envelope.The framework bridges two historically disparate domains: division-algebraic particle physics (Dixon, Günaydin, Gürsey, Furey) and analogue gravity in condensed matter vacuum models (Unruh, Volovik, Visser). By synthesizing Volovik's superfluid vacuum paradigm with bioctonion algebraic models of Standard Model gauge symmetries, we demonstrate that forces and matter arise natively as topological deformations of a single continuous medium.We clarify that while complexified octonions form a non-division, power-associative algebra with zero divisors, these properties are fundamental assets to the physics. Anti-commutativity natively encodes Fermi-Dirac statistics and the Pauli exclusion principle; non-associativity generates gauge field curvature, non-linear fluid friction, and temporal processing latency; and zero divisors yield idempotent projection operators that isolate chiral spin states and light-like null trajectories without external metric constraints.We resolve four central mathematical and physical hurdles in non-associative field theories: (1) Macroscopic Matrix Insulation: We prove via real-projection identities and Jordan trace associativity Tr([X, Y, Z]ˆ) = 0 that diagonal observables remain strictly real and associative, insulating observers from off-diagonal phase perturbations. (2) Free Particle Proper Time: We formalize proper time (dτ) as a deformed disformal metric invariant containing an associator correction term, enabling free particle weak decay while preserving temporal latency in high-shear regimes. (3) Rigorous Non-Associative Calculus: Using directional differential operators, we prove free wave propagation in the 8D vacuum is strictly anomaly-free due to octonionic alternativity. (4) Multi-Particle Containment: We construct an explicit 56-dimensional E7 Freudenthal module mapping that proves widely separated particles decouple into independent quartic invariants, preventing non-local parenthetical phase contamination.Finally, the bulk modulus of the fluid matrix resolves the vacuum catastrophe, and theoretical falsifiability is established via a parameter-free derivation of non-conservative orbital energy shifts driven by vacuum vorticity (Ωvac), deterministically matching empirical planetary flyby anomalies.