The Pulse of the Real: A pk-Dimensional Euclidean Model of Unified Physical Reality

We present a unified geometric and ontological model of physical reality grounded in a single axiom: being is, non-being is not (Parmenides). The model posits one type of fundamental entity described by a discrete accumulator and a displacement vector of constant norm c in a pk-dimensional Euclidean space, where p is the number of perceptible dimensions and k the number of fundamental magnitudes. Two operators — Projection and Pulse — generate the observable universe as a p-dimensional projection of the full pk-dimensional reality. For p = 3, k = 3, the framework yields a 9-dimensional structure organized by time (T), polarity (P), and space (S).We derive the Lorentz factor as γ = sec(θ_TS), identify mass and charge as angular properties of the displacement vector, and argue that Minkowski’s signature asymmetry can be read as a projection artifact arising from the compression of three temporal axes into one. The Planck-time asymmetry t_p = (1/√3) l_p appears as the structural signature expected of three-dimensional time projected onto a single axis. The discretization of the state space produces 240 distinguishable directions (the E₈ kissing number), from which Planck’s constant is recovered within 0.67% without free parameters introduced in the derivation. The Klein bottle topology is obtained as a theorem of the collision rule rather than as a postulate.The model predicts zero cosmological redshift drift, offers a geometric reading of the hierarchy problem (G/k ~ var(T)/var(P)), and derives the inverse-power exponents of the four known interactions from a monologue/dialogue distinction.