What are the theoretical and physical effects of modelling time as three-directional with a slight non-orthogonality, especially regarding Probability, Causality, and Gravity?

Question

Physicists typically treat time as a scalar dimension orthogonal to space, following Minkowski’s 1908 model where light cones define causal structure symmetrically. But what if this orthogonality is only an approximation, not a fundamental feature of time?

Building on prior work, I propose a three-directional model of time characterised by the perceptive time axis t with an attached, nearly orthogonal θτ-plane, where the τ-axis is slightly skewed (tilted with respect to θ by ≈ 0.005°). This subtle skew breaks the isotropy assumption of traditional spacetime, creating time cones with inherent anisotropy. In this model:

• The future and past cones dynamically interact, challenging the conventional causal disconnection.

• Event realisation is probabilistic, with realised events growing exponentially in probability, and non-events decaying via a power law before tunnelling into the past cone.

• A dynamic memory effect means all events – even non-realised – leave traces influencing future probabilities without determinism.

• Gravity emerges not from curvature but from directional skew in this structured, flat spacetime.

• The framework offers new avenues to understand quantum and cosmological asymmetries, potentially testable at Planck scales.

This approach questions the scalar, orthogonal treatment of time and reinterprets Einstein’s postulates through a richer temporal geometry.

I welcome insights, critiques, or references – particularly on:

• Non-Minkowski geometries of time

• Probabilistic event models and their relation to causality

• Mathematical approaches to gravity within this model

• Symmetry and supersymmetry considerations

Thanks for engaging. Looking forward to a stimulating discussion.