Relativity and Cosmology

   

Emergent Dark Energy from Spontaneous Alignment of a Timelike Vector Field

Authors: Bin Li

We investigate a geometric mechanism for dark energy arising from the spontaneous alignment of a unit-norm, future-directed timelike vector field Φµ(x), which dynamically selects apreferred temporal foliation of spacetime. In this framework, known as Chronon Field Theory,misaligned regions in the early universe give rise to metastable domain walls whose residualtopological stress acts as a slowly redshifting vacuum energy component. We derive the modified cosmological dynamics induced by these structures and show, through both analytic andnumerical analysis, that they can drive late-time cosmic acceleration with an effective equationof state w ≈ −2/3, in agreement with prior estimates for frustrated domain wall networks.As this energy continues to redshift, the acceleration is predicted to be transient, potentially transitioning to non-accelerated expansion in the far future. This model provides a minimal, covariant, and background-independent account of dark energy, without invoking a fine-tuned cosmological constant or new scalar degrees of freedom.

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[v1] 2025-07-06 01:35:22

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