The Singularity-Free Universe: Replacing Singular Termination with a Regular Six-Throat Spacetime

We construct a static, spherically symmetric and ultrastatic spacetime containing exactly six regular throats with the same minimum radius. The geometry is organized along a single proper radial coordinate and contains three throats on the negative branch and three throats on the positive branch. The central Zero Region is not a throat and not an endpoint. It is the reference region separating the two directed branches. The areal radius remains strictly positive everywhere. The six throat positions occur at equal radial intervals on both sides of the Zero Region, and the spacetime extends without a finite singular termination in either direction. The Ricci scalar, the quadratic Ricci invariant and the Kretschmann scalar remain finite at every finite radial position and decay toward both distant ends. Null propagation through the geometry is governed by one global transmission threshold. Rays below the critical impact scale can pass through the complete six throat sequence, while rays above that scale cannot complete the full transmission. Although all six throats share the same global transmission threshold, their local near critical optical behavior is not identical. The three reflection related throat classes have distinct logarithmic response coefficients equal to 1 over 48, 1 over 60 and 1 over 240. The six throat structure and the common transmission threshold remain stable under a controlled class of sufficiently small smooth deformations. These perturbations may shift throat positions and break exact reflection symmetry while preserving six minima, five intervening maxima and a common positive radius floor. Independent symbolic, tensor based and numerical reconstructions reproduce the central geometric and optical results. The construction provides an explicit regular six throat spacetime in which finite curvature, complete null transmission and multiple local critical regions coexist without requiring singular termination.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-06
DOI
https://doi.org/10.5281/zenodo.22207681
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

The Singularity-Free Universe: Replacing Singular Termination with a Regular Six-Throat Spacetime

Ibrahim Mohammed Mussa
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

The Singularity-Free Universe: Replacing Singular Termination with a Regular Six-Throat Spacetime

Ibrahim Mohammed Mussa
article en

Abstract

We construct a static, spherically symmetric and ultrastatic spacetime containing exactly six regular throats with the same minimum radius. The geometry is organized along a single proper radial coordinate and contains three throats on the negative branch and three throats on the positive branch. The central Zero Region is not a throat and not an endpoint. It is the reference region separating the two directed branches. The areal radius remains strictly positive everywhere. The six throat positions occur at equal radial intervals on both sides of the Zero Region, and the spacetime extends without a finite singular termination in either direction. The Ricci scalar, the quadratic Ricci invariant and the Kretschmann scalar remain finite at every finite radial position and decay toward both distant ends. Null propagation through the geometry is governed by one global transmission threshold. Rays below the critical impact scale can pass through the complete six throat sequence, while rays above that scale cannot complete the full transmission. Although all six throats share the same global transmission threshold, their local near critical optical behavior is not identical. The three reflection related throat classes have distinct logarithmic response coefficients equal to 1 over 48, 1 over 60 and 1 over 240. The six throat structure and the common transmission threshold remain stable under a controlled class of sufficiently small smooth deformations. These perturbations may shift throat positions and break exact reflection symmetry while preserving six minima, five intervening maxima and a common positive radius floor. Independent symbolic, tensor based and numerical reconstructions reproduce the central geometric and optical results. The construction provides an explicit regular six throat spacetime in which finite curvature, complete null transmission and multiple local critical regions coexist without requiring singular termination.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 13%
Cosmology and Gravitation Theories
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