Multidimensional Temporal Constructs: Non-Scalar Geometries of Time

Abstract

This essay presents a conceptual extension of classical time models by building on a three-directional temporal framework characterised by an orthogonal (t,θ)-plane and a slightly skewed τ-axis. Dissenting from Minkowski’s symmetrical spacetime, the model establishes a dynamic interaction between the future and past cones, contrasting with conventional frameworks that treat these structures as causally disconnected. It integrates probabilistic mechanisms governing event realisation and non-realisation, with realised events exhibiting exponential probability growth and non-events decaying via a power-law distribution before tunnelling into the past cone. The model incorporates a dynamic memory effect, wherein all events – including non-realised ones – leave traces influencing future probabilities without imposing determinism. By assigning a minute skew (0.00539°) to the τ-axis, the resulting time cones introduce an inherent anisotropy, breaking the traditional isotropy assumption of time. These modifications result in a structured, non-deterministic model of temporal progression and suggest observable implications at both quantum and cosmological scales. The work builds upon prior essays and proposes a unified structure where time emerges from the interaction of probabilistic events rather than from an intrinsic flow.