Cyclic Cosmic Dynamics, Galactic Rotation Anomalies, and Quantum Unitarity Preservation: A Unified Framework Based on Digital Spacetime Lattice and System Residual Truncation Corrections

This paper addresses the numerical divergence problem of the Friedmann equation inherent in the initial state of cosmological solutions and the central core of black holes in General Relativity. We propose an alternative hybrid framework that connects microscopic quantum information conservation laws with macroscopic spacetime dynamical systems by modeling spacetime not as a continuous Lorentzian manifold, but as a discrete lattice architecture operating at the Planck length scale. By projecting the macroscopic topological interpretation of the ER = EPR hypothesis onto the FLRW metric, this framework mathematically derives a non-singular, finite Bounce mechanism with explicit algebraic real roots extracted via Cardano's formulation. Furthermore, the cosmological constant problem is identified as a system residual truncation error arising from floating-point round-off operations within the discrete physical lattice elements, modeled via an Euler-Maclaurin discrete truncation correction of the Riemann zeta function. Concurrently, we resolve the galactic rotation curve anomalies by deriving the macroscopic operational lag (Lattice Lag) of the spatial grid rendering under massive core systems, completely eliminating the need for hypothetical dark matter particles. Finally, the black hole information loss paradox is neutralized by introducing an exponential data throttling filter at the holographic event horizon pixels, forcing the Hawking evaporation rate to cleanly converge to absolute zero at the Planck boundary, securing 100% strict quantum unitarity across sequential cosmic recurrences.