Abstract
This paper presents a novel geometric framework, termed Dimensionally Extended Holographic Projection (DEHP), to reconcile the foundational mechanics of high-energy particle physics with the empirical datasets generated by modern hadronic colliders. Rather than treating the spacetime vacuum as an abstract mathematical void populated by independent, fundamental point-particles, DEHP models the universe as a continuous, two-dimensional viscoelastic phase fluid substrate (\(z=0\)) capable of localized, non-linear geometric displacement along a vertical projection axis (\(z>0\)).
Under this Topological Substrate Mechanics (TSM) approach, baryonic matter is reinterpreted not as an isolated material substance, but as a localized standing wave packet—a topological "knot"—formed by the self-trapping of high-frequency sine waves within the fluid medium. Consequently, laboratory-observed matter-antimatter annihilation events are redefined as non-linear destructive interference and topological unwinding, wherein clockwise and counter-clockwise strain fields neutralize back to substrate equilibrium without material destruction.
By applying the Metric Confinement Principle, we demonstrate that the long-standing cosmological mystery of baryon asymmetry is naturally resolved: global antimatter anchors remain structurally segregated beneath the substrate boundary, while localized laboratory antiparticles represent temporary, high-energy bulk field inversions. Furthermore, we show that the arbitrary coupling constants currently used to calculate the Standard Model mass hierarchy can be derived from first principles using the non-linear harmonic steps of a steepening sine wave.
Finally, this framework offers a concrete computational mapping protocol to translate existing scattering matrix (S-matrix) and resonance spectra data from the Large Hadron Collider (LHC) into viscoelastic phase velocity equations, presenting a unified, hardware-level mechanism for quantum-scale interactions.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Eckes, Christopher L., "Unified Metric Confinement: Resolving Mass Hierarchy and Baryon Asymmetry Through DEHP Fluid-Substrate Dynamics", Technical Disclosure Commons, (July 20, 2026)
https://www.tdcommons.org/dpubs_series/11050