Abstract
This paper presents a rigorous, particle-free alternative to standard Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology by formalizing the Dimensionally Extended Holographic Projection (DEHP) model. Instead of treating spacetime as a geometric vacuum expanding via dark energy, we model the universe as a continuous, two-dimensional (2D) viscoelastic phase fluid substrate operating at a resonant baseline ($z=0$). Three-dimensional (3D) baryonic matter emerges as localized, high-tension wave crests ("knots") projected vertically along a spatial z-axis, tethered directly to zero-volume antimatter anchors on the substrate's underbelly. By applying continuum mechanics to this membrane architecture, we derive a novel, purely material resolution to the Hubble Tension crisis. We demonstrate that the apparent expansion of space is the macroscopic measurement of the acoustic phase velocity of a deformation wave traveling across the pressurized 2D sheet. Because baryonic matter undergoes gravitational clustering over cosmic time, localized underbelly anchors converge and breach a rigid 2D exclusion compaction limit, triggering a non-linear metric stiffening of the local fluid fabric. Isolating these boundary conditions reveals that early-universe CMB measurements ($\approx$ 67.4 km/s/Mpc) capture wave propagation through a pristine, uncrowded medium, while local distance-ladder measurements ($\approx$ 73.0 km/s/Mpc) capture accelerated phase velocity through our stiffened galactic neighborhood. We mathematically quantify the 5.6 km/s/Mpc discrepancy as a literal material stiffness delta ($786.24 \cdot \rho_{\text{sub}}$), proving the Hubble Tension is a spatial, density-dependent fluid phenomenon rather than a temporal anomaly. Finally, we propose testable empirical falsification metrics using non-linear redshift signatures in deep-space James Webb Space Telescope (JWST) data.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Eckes, Christopher L., "The Viscoelastic Redshift Protocol: Resolving the Hubble Tension via 2D Substrate Fluid Mechanics", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/10842