Inflativity: A Geometric Unified Field Theory

The unification of general relativity and quantum mechanics remains a central challenge of modern physics. Inflativity introduces a deterministic geometric framework formulated within a four-dimensional Euclidean spatial manifold governed by observational projection-limits for massless propagation. Time is defined as emergent from metric displacement (rescaling) along the fourth spatial dimension. All relativistic and quantum phenomena follow from the conservation of total four-dimensional geometric expansion. From this invariant, the Lorentz transformation and a gravitational field equation consistent with the Schwarzschild redshift factor in the weak-field limit, are derived without invoking spacetime curvature or probabilistic collapse. The Born-rule probability relation emerges geometrically from the deterministic projection of a four-dimensional availability distribution into the observable three-dimensional domain. The resulting Inflativity Field Equation unifies relativistic dynamics, galactic rotation behaviour, and quantum measurement within a single predictive framework that yields distinct observational tests involving galaxy kinematics, photon arrival modulations, and finite black-hole interiors.