Work

Directed Transport and Optical Return in a Regular Six-Throat Geometry

Year: 2026
Type: article
Abstract: This work establishes that nontrivial transport and optical dynamics can persist in a regular six throat spacetime without singular breakdown. The geometry contains six equal radius throats with finite curvature and distinct local geometric scales. Covariant rest mass conservation gives a conserved stationary flux along each directed branch, while timelike motion provides a conservative transport benchmark across the ordered throat sequence.The null sector reveals a universal transmission threshold shared by all six throats. Rays below this threshold pass through the complete throat sequence. Rays launched from the Zero Region within the return sector instead reach a natural turning point and return through the geometry. This optical return arises directly from the null geodesic equations and requires neither a singular endpoint nor an imposed reflecting boundary. Near the critical threshold, the winding and time delay follow logarithmic laws whose coefficients distinguish the three throat families. Independent numerical integration of the exact geodesic equations reproduces these analytic coefficients with relative errors of approximately one part in a million.The paper also derives an exact visibility transformation for the returned image family and applies a reproducible cross scale test to public 2017 Event Horizon Telescope observations of Sagittarius A*. The analysis identifies 794 cross scale samples. A stricter common support audit finds no matched control samples in the required shared time and spatial frequency domain in any of the four CASA and HOPS data groups. The strict matched comparison therefore cannot be constructed from the tested public dataset.The combined result challenges the necessity of singular termination within the spacetime studied here. Finite curvature coexists with conserved material transport, complete null transmission, natural optical return, and distinct critical optical behavior. In this geometry, these phenomena arise through regular and calculable propagation rather than through a singular endpoint.
Language: English
Open Access status: green
OpenAlex ID: W7204857847
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