What question did this study set out to answer?

The central aim is to explore a transition in the universe's metric signature that impacts cosmological observations.

March 25, 2026Open Access

Emergent Temporal Flow from Signature Change and its Cosmological Implications

Key Points

The central aim is to explore a transition in the universe's metric signature that impacts cosmological observations.
Introduced a continuous energy flux from the Euclidean sector to initiate a transition.
Analyzed the Hubble Tension and $S_8$ Tension through a dynamical temporal channel and quadratic viscosity.
Validated findings with consistency checks against the stochastic gravitational wave background.
Resolved the Hubble Tension discrepancy between $H_0 ext{ approx } 67.4$ and $73.1$ km/s/Mpc.
Demonstrated suppression of matter growth via quadratic viscosity $ ho = rac{3}{8 ext{π}}$.
Achieved consistency with NANOGrav's spectral index $ ext{γ approx } 3.15$.

Abstract

This work proposes a fundamental transition in the early universe where the metric signature changes from Euclidean to Lorentzian, triggered when vacuum energy exceeds a critical threshold. By introducing a continuous energy flux (₅₋₎ₖ) from the Euclidean sector, we present a unified framework to address major cosmological anomalies. Key highlights of this upload: Hubble Tension: Resolution of the discrepancy between H₀ 67. 4 and 73. 1 km/s/Mpc through a dynamical temporal channel. S₈ Tension: Suppression of matter growth via quadratic viscosity = ², where = 3/8. NANOGrav Validation: Consistency with the stochastic gravitational wave background (SGWB) with a spectral index 3. 15. The upload includes the full manuscript (PDF), Python source codes for figure generation, and Monte Carlo simulation data for statistical validation.

Emergent Temporal Flow from Signature Change and its Cosmological Implications

Key Points

Abstract

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