Nonlinear Time Dynamics: A Unified Framework for Information Sensing from Geological Transitions to Cosmological Dark Phenomena

Abstract: This paper presents a unified physical model based on nonlinear time dynamics, proposing that complex geological, biological, and cosmological systems are influenced not only by past causality but also by "Future Attractors" via topological stability mechanisms. We introduce the concept of the "Informational Shadow" as a detectable structural trace appearing before the physical event completes. Through the "Anticipatory Response Equation," we demonstrate how protected topological information acts as a non-local temporal memory constraining physical probabilities. This framework offers an alternative explanation for the missing mass in galaxies as a temporal resonance phenomenon and explains organized noise preceding material fracture and anticipatory responses in biological consciousness, bridging material physics with cosmological informatics.