Infinite Self-Referential Temporal Causal Spectral Chain Structure D; Phase Transition Dynamics of Causal Structures in Quantum Gravity

This paper proposes a quantum gravity model based on a dynamical phasetransition framework, aiming to unify the description of quantum fluctuations ofcausal structures at high Planck scales and the emergence of classical spacetimeat low energies. The core idea is that the causal structure of spacetime is notfundamental and fixed, but undergoes a phase transition driven by a dimensionless”super-temperature” parameter. In the high-energy phase, causal links themselvesare in a state of strong quantum fluctuations, and stable light cones cannot form; asthe universe cools and the ”super-temperature” crosses a critical point, the systemundergoes symmetry breaking, the curvature of underlying causal links freezes, andthrough a universal self-similar scaling law, it triggers a cascading decay of higherorder causal fluctuations, ultimately emerging into a classical spacetime geometrywith definite light cones. Topological structure plays a key constraining role in thisprocess, locking the core parameters of the scaling law, but is not an independentlyevolving dynamical variable. This model transforms the fundamental problem ofquantum gravity into a well-defined dynamical phase transition problem with amathematical foundation.