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April 12, 20260 citationsOpen Access

The Big Idle: Emergent Late-Time Acceleration from Informational Saturation of a Scalar Field

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GZGUILHERME ZAMBUZI

Key Points

  • The study aims to explore the Big Idle framework, suggesting late-time cosmic acceleration arises from scalar field dynamics rather than a constant.
  • Developed a scalar-field model under a plateau potential.
  • Derived cosmological equations from an action principle.
  • Considered the informational saturation fraction in the model.
  • Demonstrated the field experiences damped kinetic energy due to Hubble friction.
  • Showed that the equation of state approaches wϕ → -1, resembling de Sitter expansion.
  • Predicted a small deviation of w(z) from -1 as the field reaches its idle state.

Abstract

We propose an effective scalar-field realization of the “Big Idle” framework, in whichlate-time cosmic acceleration is not attributed to a fundamental cosmological constant butto the asymptotic relaxation of a dynamical scalar field toward a state of maximal informational saturation. The scalar is related phenomenologically to a bounded informationalsaturation fraction I ∈ [0, 1), and evolves under a plateau potential that approaches a finiteconstant at large field values. In this limit, the field kinetic energy is damped by Hubblefriction, the equation of state approaches wϕ → −1, and the background expansion becomesasymptotically de Sitter-like. The cosmological equations are derived consistently from anaction principle, removing the dimensional ambiguities of earlier phenomenological versionsof the Big Idle idea. We show explicitly that the plateau regime satisfies ϵV , ηV → 0 andtherefore admits a controlled late-time slow-roll limit. The framework yields a simple dynamical dark-energy scenario with a natural informational interpretation and a potentiallytestable prediction: a small late-time deviation of w(z) from −1 as the field relaxes towardits asymptotic idle state.

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Cite This Study

GUILHERME ZAMBUZI (2026) studied this question.

synapsesocial.com/papers/69db380f4fe01fead37c6452https://doi.org/10.5281/zenodo.19497200
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