Collapse Memory Threshold Failure: Fluidization of Structural Systems Through Recursive Field Collapse

This paper introduces the Collapse Memory Threshold Failure (CMTF) model as a structural framework for predicting the fluidization of rigid systems through recursive field collapse. Extending the collapse intensity equation Σ = µ·ν/τ, we define a critical inertial memory threshold νcritical(τ) below which discrete structural identity fails and collective fluid-like behavior emerges. Unlike vibrational frameworks such as String Theory [9], Stick Theory posits that dimensional identity and persistence arise from the recursive interplay of collapse resistance µ, inertial memory ν, and tension τ. We support this theoretical framework with qualitative assessments of known events, including avalanches, landslides, and asteroid fragmentation, demonstrating that CMTF provides a predictive and structurally grounded model for the transition between discrete and fluid regimes. This work proposes a novel extension of collapse field theory and highlights structural recursion as a unifying principle across material, planetary, and cosmological scales.