Cyclic Cosmic Dynamics and Einstein Singularity Divergence Mitigation Mechanism Based on Digital Spacetime Lattice Junction Conditions of Gravastar

This paper addresses the numerical divergence problem of the Friedmann equation inherent inthe initial state of cosmological solutions in General Relativity. We propose an alternative hybridcosmological framework defining spacetime as a discrete lattice architecture with Planck length (ℓP)resolutions, projecting the macroscopic topological interpretation of the ER = EPR hypothesis ontothe FLRW metric. By combining the negative pressure of the de Sitter quantum vacuum in theinternal region with the ultra-dense Stiff Fluid (p = ρc2) equation of state in the shell region under aclosed cosmic geometry (k = 1), a high-energy loop quantum gravity correction is introduced. Thismathematically derives a finite Bounce mechanism where the geometric deformation rate halts (˙a =0) and acceleration flips (¨a > 0) as the scale factor reaches the critical density (ρc). Furthermore,the cosmological constant problem is identified as a ’system residual truncation error’ arising fromfloating-point operations within the discrete lattice. This models dark energy observations and theCMB power spectrum frequency cutoff through an Euler-Maclaurin discrete truncation correctionof the Riemann zeta function, resolving the ultraviolet divergence problem