Causal Lorentzian Theory (CLT) Applied to Planck-Scale Black Holes and Micro-Scale Quantum Correlations

We present a detailed investigation of Planck-scale black holes within the frame-work of Causal Lorentzian Theory (CLT), built upon velocity-dependent con-formal Lorentz transformations (VDC-LT). CLT provides a singularity-free, causal,and energy-conserving classical background suitable for semi-classical quantumanalysis. We derive smoothed mass distributions to regularize curvature, computecausal Hawking radiation, and evaluate gravitationally induced phase accumula-tion in quantum particles. Extending to multiple particles, we construct N-particlegravitational correlation networks. CLT resolves divergences, enforces causal prop-agation at speed c, and provides a predictive framework for gravitational correla-tions mimicking entanglement, without requiring gravitons. The framework offersmeasurable predictions for micro-scale quantum experiments and early-universescenarios.