V1.41 Mechanical Strong Force in Unified Spacetime Theory: Flux Tubes and Confinement from Torsional Saturation

Part 7 of 10 - Unified Spacetime Theory’s “The Mechanical Foundations of a Unified Spacetime” Mechanical Strong Force in Unified Spacetime Theory: Flux Tubes and Confinement from Torsional Saturation Abstract:Unified Spacetime Theory (UST) explains the strong nuclear force as a purely mechanical effect arising from the torsion (the twisting) of a single underlying medium that makes up spacetime itself. No gauge fields, no gluons, no color charge are needed. When torsional strain is concentrated between two sources (such as quark cores), the medium’s built-in elastic modulation mechanism causes the stored energy density to reach a natural ceiling. To minimize total energy while carrying a fixed amount of torsional throughput, the medium spontaneously forms narrow, stable flux tubes with nearly constant energy per unit length. This produces the linear rising potential that confines quarks: the farther you try to separate them, the more energy it costs, with no upper limit until the tube breaks and new pairs form. This paper derives the static confinement mechanism from a constrained energy-minimization problem. The shape and thickness of the flux tubes, along with their energy per unit length (string tension), emerge directly from the calculation with no assumed geometry or adjustable parameters. A second, complementary confinement effect (a conservative force that resists moving saturated regions through unsaturated ones) arises automatically from the same modulation rule. All results use only the three fixed mechanical constants declared in the foundational paper, and full numerical reproducibility is provided through explicit artifacts and quality controls. Coming Next: This is Part 7 of the series “The Mechanical Foundations of a Unified Spacetime.” Previous parts covered the Foundations (1), Lorentz Invariance (2), Spin-1/2 (3), Black Holes (4), Dark Mass halos (5), and The Mechanical History of the Universe (6). The remaining papers are The Weak Force (8), Emergence of Quantum Dynamics (9), and The Particle Zoo (10). Together they extend the same underlying mechanical medium to the weak interaction, quantum behavior, and the full particle spectrum, always aiming for a minimal, reproducible, and testable account of observed physics. Foundations paper - Hooke's Law/USEMP and Lorentz Invariance papers https://doi.org/10.5281/zenodo.17887509 Spin 1/2 paper https://doi.org/10.5281/zenodo.17795865 Black Hole and Quantum Gravity paperhttps://doi.org/10.5281/zenodo.17804079 Dark Mass paper https://doi.org/10.5281/zenodo.17945263 Mechanical History of the Universe https://doi.org/10.5281/zenodo.18102268 Cosmological Redshift from Homogeneous Dilation in Unified Spacetime Theory(companion paper for History paper) https://doi.org/10.5281/zenodo.18174406 Ontological foundation of UST: The Substance Test: Against Lattice Fundamentalism - A Spinozist Critique of Discrete Ontologies https://doi.org/10.5281/zenodo.18258500 Contact: jared@ustphysics.org