Abstract
This technical disclosure formalizes a non-perturbative, particle-free continuum mechanics framework—the Dimensionally Extended Holographic Projection (DEHP) model—that resolves anomalous early structure formation observed by the James Webb Space Telescope (JWST) alongside the 5.6 km/s/Mpc Hubble Tension discrepancy. Rather than treating the cosmic medium as a passive geometric vacuum expanding via a cosmological constant (Λ), we model spacetime as an emergent macroscopic manifestation of a continuous, two-dimensional (2D) viscoelastic phase fluid substrate (z=0) operating in a resonant ground state ("The Garden State"). Three-dimensional (3D) baryonic mass distributions (z > 0) emerge as localized, high-tension wave crests ("knots") whose values represent localized vertical stress gradients at equilibrium, tethered directly to zero-volume antimatter anchors pinned to the substrate's underbelly (z < 0).
Applying 2D continuum fluid mechanics to this membrane topology, we demonstrate that the apparent expansion of space is the macroscopic measurement of the acoustic phase velocity of a material deformation wave traveling across the pressurized sheet. Localized gravitational clustering over cosmic time forces underbelly anchors to converge, breaching a rigid 2D exclusion compaction limit and triggering a non-linear metric stiffening of the local fluid fabric. This material stiffness delta (\(\Delta\mu_{\text{stiffening}} = 786.24 \cdot \rho_{\text{sub}}\)) accounts for the accelerated local phase velocity measurements (≈ 73.0 km/s/Mpc) relative to pristine, uncrowded early-universe cosmic microwave background baselines (≈ 67.4 km/s/Mpc). Furthermore, by reinterpreting cosmological redshift as a path-dependent accumulation of non-linear elastic strain (\(\epsilon _{ij}\)), we show that the early universe possessed a significantly extended internal processing timeline (Chronological Latency), resolving the "Impossible Early Galaxy" bottleneck. Finally, we derive that early supermassive black holes are instantaneous geometric sinks induced by an out-of-plane primordial Puncture Flux (\(J_{z}\)), bypassing classical Eddington accretion limits. Explicit empirical metrics are defined to validate this material substrate paradigm against standard particle dark matter models.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Eckes, Christopher L., "A Unified Viscoelastic Substrate Specification for the Simultaneous Resolution of High-Redshift Structure Formation and Cosmic Expansion Rate Discrepancies", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/10914