Astrophysics

The Tensional Structure Principle: Mathematical Foundations and Lagrangian Formulation

Authors: Joseph Shaffer

This paper develops the full Lagrangian formulation of the Tensional Structure Principle (TSP). In TSP, the fundamental substrate of reality is the entanglement domain E, composed of qubit scale flexible mats described by a stiffness field with a tension field as the primary dynamical quantity. Mass induces distortions in the mat field, producing gravity as a tension gradient. We construct the action, derive the Euler-Lagrange equations, identify the stress—tension tensor, and show how dark energy arises from a uniform residual tension. This paper provides the mathematical backbone for the conceptual TSP framework.

Comments: 7 Pages. This paper is the companion paper of ai.viXra.org:2605.0049. It provides the formal mathematical foundation.

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[v1] 2026-06-28 13:37:43

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