Fiber-Aware Observable Cosmology on a Nonlinear Time Manifold

This work presents a fiber-aware formulation of observable cosmology on a nonlinear time manifold, where cosmic time is treated as a nontrivial function of clock time rather than a linear parameter. Within this framework, cosmological observables—including supernova (SN), baryon acoustic oscillation (BAO), and cosmic microwave background (CMB) measurements—are unified as weighted, pathway-dependent realizations of a common geometric structure, with observable differences arising from transport along distinct paths (cosmo-holonomy) rather than inconsistencies in physical laws. Without assuming a ΛCDM background, the expansion sector is reconstructed directly from data, revealing a baseline-plus-growth structure that is consistent across SN and BAO observations, while the CMB is interpreted as a high-redshift boundary constraint. The results show that cosmic expansion is not a single globally continuous function, but a regime-separated structure organized in nonlinear time, providing a unified geometric interpretation of observational tensions and a testable framework for upcoming surveys such as DESI, Euclid, and the Nancy Grace Roman Space Telescope.