What question did this study set out to answer?

This research aims to extend General Relativity by introducing a dynamic relationship between time and matter.

May 11, 2026Open Access

Emergent Time: A Causal-Structural Time Field Coupled to Matter

Key Points

This research aims to extend General Relativity by introducing a dynamic relationship between time and matter.
Introduced a scalar causal field Θ(x) to modify spacetime metrics.
Examined limiting cases of the theory to recover General and Special Relativity.
Predicted effects on cosmic voids and supernova light curves.
The model predicts distinct behaviors for cosmic voids compared to traditional theories.
Provided insights into type-Ia supernova light curves not accounted for by current models.
Offered a mechanistic approach to address the issue of the cosmological constant.

Abstract

We propose an extension of General Relativity (GR) in which time is not an independent background dimension but couples dynamically to the presence of matter and propagates outward at the speed of light. Formally, we introduce a scalar causal field Θ(x) ∈ 0,1, determined entirely by the retarded action of matter distributions and carrying no independent energy density. The spacetime metric is modified by weighting its time component with Θ, so that in matter-free regions the temporal structure collapses. Both GR and Special Relativity (SR) are recovered as exact limiting cases for Θ = 1. The theory makes qualitatively new predictions for cosmic voids, type-Ia supernova light curves, and the expansion dynamics of the universe, and provides a potential mechanistic replacement for the cosmological constant Λ.

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