遇见数据集

Polished Tunnel Dynamics (PTD): A Rigorous Scalar-Field Framework for Celestial Mechanics with Falsifiable Predictions Beyond General Relativity

收藏
Zenodo2026-03-29 更新2026-05-26 收录
官方服务:

资源简介:

Context: Polished Tunnel Dynamics (PTD) proposes a scalar-field cosmic fabric as an alternative substrate for gravitational phenomena, distinct from the geometric abstraction of curved spacetime in General Relativity (GR). Methods: We construct a unified Lagrangian incorporating a scalar field Φ with Yukawa fermion coupling, position-dependent viscosity derived from Rayleigh dissipation, and minimal variable-speed-of-light (VSL) corrections constrained by observational bounds. Derivations maintain dimensional consistency, thermodynamic grounding, and alignment with JPL DE440 ephemerides, SDSS/DESI cosmic web catalogs, and JWST high-redshift observations. New contributions include (i) a tunnel-spectroscopy formalism that extracts fabric parameters from multi-body orbital residuals, (ii) a complete non-linear expansion of the radial acceleration relation (RAR) with cluster-environment corrections, and (iii) a data-driven Monte Carlo refinement of the Shibah-Effect using DESI DR1 filamentary density gradients. Results: PTD reproduces the radial acceleration relation with χ²/dof=0.92 across 153 SPARC galaxies, provides a natural exponential confinement potential for atmospheric retention without ad-hoc magnetic shielding, and predicts testable chromatic gravitational lensing at the level Δθ/θ ∼ 10^{-6}(Δλ/λ). The tunnel-spectroscopy analysis reveals that the polishing timescale τ can be constrained to ±3% using existing pulsar timing arrays. The refined Shibah-Effect calculation, incorporating DESI-measured density gradients, yields a_S = (7.9 ± 1.1)×10^{-10} m/s² (68% credible interval), with the uncertainty dominated by cosmic web variance. The framework yields three falsifiable predictions: (1) a constant sunward acceleration beyond 20 AU distinguishable from thermal systematics by its distance independence; (2) filamentary resistivity signatures in DESI peculiar velocities; (3) sub-centimeter lunar distance oscillations detectable via APOLLO lunar laser ranging. Constraints: PTD's minimal VSL satisfies Planck CMB bounds (|Δc/c|<10^{-5}) and recent cosmic distance duality tests (b≈0 within 2σ). The scalar coupling g∼10^{-20} respects MICROSCOPE equivalence principle limits (η<2.3×10^{-15}). Status: PTD remains a hypothetical framework requiring empirical validation. Its strength lies in mechanistic transparency and falsifiable predictions, not in claiming superiority over established paradigms. All code and synthetic data are publicly archived for reproducibility. Keywords: modified gravity, scalar field, cosmic fabric, falsifiability, JWST, Bayesian inference

提供机构:
Zenodo
创建时间:
2026-03-29
二维码
社区交流群
二维码
科研交流群
商业服务