The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena
Abstract
The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena
Chloe J. Tully Principal Investigator
https://orcid.org/0009-0007-5661-7332
26th 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(wm) with wm ϕ−(m mod 5)
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BibTeX
@misc{tully2026hypershape,
title = {{The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena}},
author = {Chloe Tully},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23651072},
url = {https://zenodo.org/records/23651072},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena
AU - Chloe Tully
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23651072
UR - https://zenodo.org/records/23651072
AB - The Hypershape Shadow Hypothesis: A Unified Geometric Framework for Unidentified Anomalous Phenomena Chloe J. Tully Principal Investigator https://orcid.org/0009-0007-5661-7332 26th 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(wm) with wm ϕ−(m mod 5)
ER -