Polished Tunnel Dynamics (PTD): A Rigorous, Falsifiable, and Observationally Anchored Framework for Celestial Mechanics in a Dense Cosmic Fabric

Polished Tunnel Dynamics (PTD) presents a mathematically consistent and empirically testable framework that reinterprets celestial mechanics and atmospheric retention within a dense, reticular cosmic fabric. Diverging from the geometric abstraction of curved spacetime, PTD models the intergalactic medium as a viscous-elastic fabric with fermion-selective interactions via a Yukawa coupling, while allowing transparent photon propagation. Orbital polishing emerges primarily from kinematic shear stress, supplemented by magnetism as a secondary mechanism. Atmospheric confinement is achieved through a soft exponential wall potential within the Boltzmann distribution, and gravitational lensing arises from local variations in the fabric's refractive index, stemming from density gradients and a position-dependent speed of light \(c = \sqrt{K_{\text{fabric}} / \rho_{\text{fabric}}}\). Derivations maintain dimensional consistency, thermodynamic grounding, and alignment with observational data from sources such as JPL DE440 ephemerides, SDSS/DESI cosmic web catalogs, and NRLMSISE-00 atmospheric models. Employing high-dimensional Bayesian inference, Monte Carlo sensitivity analyses, and reproducible simulations—with graphical outputs generated via PGFPlots—PTD yields falsifiable predictions, including the Shibah-Effect (fabric resistance gradient). As a mechanistically detailed alternative paradigm, PTD aligns with Lorentz invariance, stable orbits around unmagnetized planets, and observed lensing. While conceptually akin to MOND, PTD addresses its limitations through fabric-based mechanics. PTD's minimal VSL is consistent with Planck constraints (\(\Delta c/c < 10^{-5}\)) and recent cosmic distance duality relation tests (\(b \approx 0\) within 2\(\sigma\)).