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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Inverse Time Limit Theory (ITLT)

Minimal Singularity-Free Spacetime from Curvature Saturation in Einstein Gravity with Black Hole and Cosmological Solutions
Authors: Piya, Abhay;

Inverse Time Limit Theory (ITLT)

Abstract

We present Inverse Time Limit Theory (ITLT), a geometric framework based on the principle that spacetime curvature saturates at a fundamental density scale: ρ* = βMₚ⁴ This principle provides a minimal extension of Einstein gravity without modifying the Einstein–Hilbert action or introducing additional fields. In the static, spherically symmetric sector, it yields a regular black hole solution described by the metric function f(r) = 1 − (2Mr²)/(r³ + a), where a = M/ρ* This spacetime is free of curvature singularities, contains a finite-curvature core, and asymptotically recovers the Schwarzschild solution. All curvature invariants remain finite, and the spacetime is geodesically complete.The same curvature saturation principle extends naturally to homogeneous cosmology, leading to a modified Friedmann equation in which the Hubble parameter remains finite at arbitrarily high densities. This eliminates the classical Big Bang curvature divergence while preserving standard cosmological evolution in the low-density limit. The theory predicts the existence of a universal curvature bound, nonsingular black hole interiors, and Planck-scale remnant formation.ITLT provides a unified and purely geometric mechanism for singularity resolution in both gravitational collapse and cosmology, governed by a single universal curvature scale, while remaining fully consistent with Einstein gravity in the weak-curvature regime.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average