Autor: A. Jaster | Datum: 2026/05/25 | DOI: 10.5281/zenodo.20376169
Building on the causal-Machian emergent time theory \citep{Jaster2026a,Jaster2026b}, we examine the cosmological implications of the scalar time field $\Theta(x)\in[0,1]$. In exactly homogeneous FLRW spacetime $\Theta=1$ identically and standard cosmology is fully reproduced. In the inhomogeneous universe, $\Theta$ deviates from unity only at the level imposed by the causal horizon averaging; because a typical cosmic void occupies a volume fraction $\sim4\times10^{-7}$ of the causal horizon, the resulting deviation $1-\Theta_{\rm void}$ is exponentially suppressed by the flat $C^\infty$ saturation function $S_\infty$ and is quantitatively negligible in the present epoch. The phenomenological consequences of $\Theta<1$ in voids -- including possible contributions to the $\sigma_8$ tension, the modified ISW effect, void clocks, and $\Theta$-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 $U_H^\mu$, independently of $\Theta<1$. 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 $\Theta$-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.