CPT22 — Coexisting Time Arrows

Emergent Spacetime and Quantum Fields from Coexisting Time Arrows: An Axiomatic Framework

The updated paper presents the Coexisting Time Arrows (CTA) research framework. Time is treated as fundamental; the work investigates the possible emergence of spacetime geometry and quantum fields from coexisting temporal sectors.

A central mathematical result concerns the bilinear metric ansatz: one pair of temporal-field gradients has rank at most two. Within this ansatz, three pairs are necessary for a four-dimensional Lorentzian signature, with an explicit construction of the Minkowski metric.

General curved spacetimes, Einstein dynamics, gauge interactions and quantitative cosmological predictions remain open problems.

Publication: November 3, 2026 · 67 pages · original in English