The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena

The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena  

Chloe J. Tully Principal Investigator  

https://orcid.org/0009-0007-5661-7332

26^th October 2026  

Abstract  

This paper presents the Hypershape Shadow Hypothesis (HSH): a subset of Unidentified Anomalous Phenomena may be three-dimensional intersections of compact four-dimensional objects with a brane at w = 0. From the geometry we derive two distinguishable light-curve families, a calibration-free  

Station Ratio Theorem, and a toy momentum-coupling rule that produces systematic non-Newtonian  

/5 kinematics. Encounter sequences are encoded as TIT BIT paths in the Z Z-graded Ly-Algebra; their  

Quasi-Equivalence Index supplies a deterministic acceptance gate. A four-stage observational filter and explicit falsification criteria keep the hypothesis testable. A fully worked numerical example is given so that every prediction can be reproduced.  

Keywords: hypershape; brane intersection; light curves; Station Ratio Theorem; Ly-Algebra; QuasiEquivalence Index; UAP.  

Notation box - ϕ = (1 + 5) /2 - QEI hard-gate threshold: 0.12 (TT-G41) - Signature vector of the graded product: α = (α₀, …,α₄)  - Weight matrix W = diag(w_m)  with w_m   ϕ−(m mod 5)