The Randall–Prescod-Weinstein Equilateral: Stable Equilibria and Observational Completeness

The L4–L5 pair (Randall–Prescod-Weinstein) occupies the stable equilateral positions of the two-body equation. L4 (Randall, Membrane) corresponds to extra-dimensional brane structure—stable because membrane tension provides a restoring force. L5 (Prescod-Weinstein, Map) corresponds to observational completeness—the stable vantage point from which the full framework is visible. The stability of both points is a consequence of the Z4 discrete symmetry and the 60° equilateral condition.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23842961
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

The Randall–Prescod-Weinstein Equilateral: Stable Equilibria and Observational Completeness

Robert A. Kenney
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Randall–Prescod-Weinstein Equilateral: Stable Equilibria and Observational Completeness

Robert A. Kenney
preprint en

Abstract

The L4–L5 pair (Randall–Prescod-Weinstein) occupies the stable equilateral positions of the two-body equation. L4 (Randall, Membrane) corresponds to extra-dimensional brane structure—stable because membrane tension provides a restoring force. L5 (Prescod-Weinstein, Map) corresponds to observational completeness—the stable vantage point from which the full framework is visible. The stability of both points is a consequence of the Z4 discrete symmetry and the 60° equilateral condition.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
DOIOpen Access PDFOpenAlex
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The Randall–Prescod-Weinstein Equilateral: Stable Equilibria and Observational Completeness — Robert A. Kenney · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS