Time-Topology Cosmology (TTC): Gravity as Time-Density Flow—A Scalar-Field Framework with Onu Integration

Time-Topology Cosmology (TTC) models time not as a coordinate, but as a dynamic scalar density field tau(x), where gravity emerges as flow down time-density gradients: a = -c^2 grad ln(tau). Energy acts as a topological defect shaped by this flow. Sourced primarily by photon production S_gamma(rho_gamma) with a discrete Onu remainder Lambda_onu approx. 10^-52 m^-2, TTC reproduces key dark-matter phenomenology (e.g., flat rotation curves) without invoking non-baryonic matter, while yielding an effective late-time acceleration indistinguishable from Lambda within current uncertainties. Integrating Onu-Ma'at scale-covariance, TTC recasts singularities as infinite-time horizon exhaustion on the logarithmic Rail s = ln r, with a "breathing operator" modulating tau gradients. v2 addresses prior theoretical gaps: we introduce a disformal photon coupling that preserves PPN bounds (gamma approx. 1, beta=1) and ensures c_GW = c. Linear perturbation analysis yields f sigma_8 approx. 0.8, matching DES 2025 data and resolving the S_8 tension. BBN/CMB acoustic peaks are preserved via weak early-universe sourcing. Key predictions include a kappa-luminosity correlation at fixed baryonic mass (absent in Lambda-CDM) and optical clock shifts of ~10^-18 in controlled photon baths. We propose falsification via null clock shifts, absence of lensing excess in photon-rich galaxies, or CMB knot misalignment with Large Scale Structure (LSS).