Pretzel Model: Orthogonalization of Superposed Spacetime Geometry as a Potential Reconciliation of the Hubble Tension

This repository contains the manuscript, supplementary methods, and supporting analysis materials for the Pretzel Model, a speculative one-metric cosmological framework exploring whether apparently discrepant measurements of the Hubble constant can be reconciled as observations of different stages of a common geometric response. The model uses a recursive trefoil-based spacetime geometry with a fixed scale ratio \(1/\sqrt8\), a cumulative material-response transform \(F_\infty=1.083608178869\ldots\), and Hubble-radius causal activation. Applied to the adopted \(\Lambda\)CDM reference value \(H_0=67.4\ {\rm km\,s^{-1}\,Mpc^{-1}}\), the model gives a local-limit material response of \(73.0352\ {\rm km\,s^{-1}\,Mpc^{-1}}.\) The archive includes the completion-normalized staircase, Hubble-comparison materials, DESI DR1/DR2 and Planck-conditioned BAO analyses, population-locking audits, mock and legacy checks, manifests, configuration files, and reproducibility records. The framework preserves a single Lorentzian metric, standard microscopic \(G_N\), ordinary photon propagation, and fundamental \(\Lambda\), while treating quantum-state resolution and geometric orthogonalization as distinct concepts.