The Zipped Interaction Parameter Theory (ZIPT): Inverse Proportionality, The Zwanenburg Limit, and The Cosmological Bounce

Abstract This manuscript introduces the Zipped Interaction Parameter Theory (ZIPT), a novel cosmological framework that unifies gravitational mechanics and thermodynamics through the principle of fundamental inverse proportionality ($P \times V = C$). Unlike standard cosmological models that rely on Dark Matter to explain galactic rotation curves or tolerate singularities at the origin of the universe, ZIPT proposes a structural limit to spacetime elasticity. Key Concepts: The Zwanenburg Limit ($\zeta_Z$): A saturation point for gravitational potential. This limit explains why galaxy rotation curves flatten without requiring non-baryonic Dark Matter; the "vacuum tension" simply reaches its maximum structural capacity. The Delta Offset ($\Delta_Z$): A hard limit on the fraction of chaos (entropy) the universe can sustain. The Cosmological Bounce: Instead of a Big Bang singularity involving infinite density, ZIPT demonstrates that when the universe reaches the Delta Offset, the structural elasticity forces a "reset" or bounce. Conclusion The theory depicts the universe as a cyclical, elastic system. It expands under entropy until the structural limit (Delta Offset) is reached, triggering a bounce that reseeds the next cycle with residual order. This mechanism avoids mathematical singularities and provides a deterministic yet variable model for cosmic evolution, supported by quantum uncertainty ($\pm \epsilon$) to explain CMB anisotropies. #Cosmology #TheoreticalPhysics #ZIPT #ZwanenburgLimit #DeltaOffset #SingularityAvoidance #BigBounce #DarkMatterAlternative #CyclicUniverse #QuantumGravity #InverseProportionality