Three Directions of Time: Temporal Geometry Beyond Scalars

G. Muchow

Abstract: This essay presents a conceptual extension of classical time models by building on a three-directional temporal framework characterised by an orthogonal (t,?)-plane and a slightly skewed ?-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 ?-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.

Keywords: 3S + 3T, temporal symmetry, hyperbolic time cones, cosmological anisotropy, Planck-scale physics