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May 27, 20260 citationsOpen Access

Cosmological Implications of the Causal-Machian Time Field

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AJA. Jaster

Key Points

  • This research aims to explore the cosmological consequences of the causal-Machian scalar time field in different spacetime configurations.
  • Analyzed the implications of $ heta$ in homogeneous and inhomogeneous FLRW spacetimes.
  • Examined contributions to the $ ilde{ extsigma}_8$ tension and the modified ISW effect in cosmic voids.
  • Investigated the structure of CMB asymmetries and the possibility of Planck-mass black hole remnants as dark matter.
  • The deviation from unity for $ heta$ due to cosmic voids is negligible in the current epoch.
  • Conceptual predictions include unmeasurable contributions to the $ ilde{ extsigma}_8$ tension and $ heta$-shell lensing.
  • The model identifies two solution classes: timeless solutions and $ heta$-shells.

Abstract

Building on the causal-Machian emergent time theory Jaster2026a, Jaster2026b, we examine the cosmological implications of the scalar time field (x) 0, 1. In exactly homogeneous FLRW spacetime =1 identically and standard cosmology is fully reproduced. In the inhomogeneous universe, deviates from unity only at the level imposed by the causal horizon averaging; because a typical cosmic void occupies a volume fraction 410^-7 of the causal horizon, the resulting deviation 1- ₕ₎₈₃ is exponentially suppressed by the flat C^ saturation function S_ and is quantitatively negligible in the present epoch. The phenomenological consequences of <1 in voids -- including possible contributions to the ₈ tension, the modified ISW effect, void clocks, and -shell lensing -- are therefore of unmeasurably small amplitude and are discussed as conceptual predictions only. The CMB hemispheric asymmetry has a possible structural source in the directional properties of UH^, independently of <1. The model does not resolve the Hubble tension; in the heuristic background-level treatment any correction would have the wrong sign, but its amplitude is negligible. The cosmological constant remains necessary. Two conceptual solution classes are identified: timeless solutions and -shells. Spacetimes with closed timelike curves are structurally excluded from the regular sector. Planck-mass black hole remnants are possible dark matter candidates if Planck-scale smearing halts evaporation.

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Cite This Study

A. Jaster (2026) studied this question.

synapsesocial.com/papers/6a168a640c924ddd1bd5905ahttps://doi.org/10.5281/zenodo.20376169
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