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April 26, 20260 citationsOpen Access

Entanglement-Driven Spacetime Dynamics: Gravity and Dark Energy as Information-Theoretic Phenomena

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WBWilliam Butler

Key Points

  • The research aims to explain gravitational time dilation and cosmic acceleration through an information-theoretic approach.
  • Proposed an information-theoretic mechanism using quantum decoherence and holographic entropy bounds.
  • Utilized the Wheeler–DeWitt equation and the Page–Wootters mechanism for the analysis.
  • Derived predictions for the dark-energy equation of state and its correlation with cosmic star-formation history.
  • Confirmed gravitational time dilation aligns with observed data from Gravity Probe A.
  • Predicted dark-energy equation of state w(z) evolves in relation with cosmic star-formation history.
  • Provided testable predictions for cosmic microwave background anisotropy patterns using CMB-S4 and DESI.

Abstract

We propose that both gravitational time dilation and cosmic acceleration arise from a single information-theoretic mechanism: quantum decoherence constrained by holographic entropy bounds. Using the Wheeler--DeWitt equation and the Page--Wootters mechanism, we identify time with the local decoherence rate. Near massive objects the Bekenstein bound is approached, bandwidth saturates and decoherence slows--producing gravitational time dilation consistent with Gravity Probe~A. At cosmic scales the accumulation of entanglement entropy forces the holographic boundary to expand, driving late-time acceleration without new fields.Entanglement configurations acquire a Finsler metric structure whose Ricci-curvature instabilities yield a depopulation sequence (3-1 →2-2 →1-3 →0-4) confirmed by the observed coupling-constant hierarchy. The framework predicts an evolving dark-energy equation of state w(z) correlated with cosmic star-formation history and makes falsifiable predictions for w(z), H(z) and CMB anisotropy patterns testable by CMB-S4 and DESI. It also provides a natural interface with Penrose's Conformal Cyclic Cosmology.

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Cite This Study

William Butler (2026) studied this question.

synapsesocial.com/papers/69edacbd4a46254e215b47cehttps://doi.org/10.5281/zenodo.19732496
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