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Deterministic Sequential Tidal Filtration in a Regular Six-Throat Geometry

Year: 2026
Type: article
Abstract: A singular endpoint is not required for strong gravitational processing of transmitted matter. This paper establishes that a regular six throat spacetime with finite curvature can generate a strict and deterministic hierarchy of tidal processing while preserving regular radial transport. The geometry contains six physical throats distributed over two reflection related directed branches, with three successive throat classes on each branch. Their exact waist strengths are 2304, 3600, and 57600. For radial timelike transport, the tidal field measured by the moving observer remains finite and the radial kinematic factor is conserved. A bound system characterized by its mass, characteristic scale, and binding energy therefore encounters a geometrically ordered sequence of finite tidal thresholds. Loss of binding occurs first at the first throat when the dimensionless control parameter is at or below 48, at the second throat when it lies between 48 and 60, and at the third throat when it lies between 60 and 240. Above 240, the system remains bound through all three throat classes. Reflection symmetry produces the same filtration law on the positive and negative branches. The analysis also derives the exact transverse Jacobi dynamics and separates cumulative deformation from peak local tidal loading and the local impulse approximation. A self gravitating benchmark, an exact tidal torque identity, robustness analysis, and independent numerical reproduction further establish the result. This work is Paper III in the Six Throat Directed Geometry series. It extends the regular geometry and directed transport developed in the preceding papers by showing that finite tidal processing, loss of binding, and deterministic material filtration arise within the regular spacetime itself. The resulting picture replaces a singular termination of the analysis with an explicitly calculable sequence of finite geometric interactions.
DOI: 10.5281/zenodo.22273360
Language: English
Open Access status: green
OpenAlex ID: W7207561047
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