Glass-Freeze Analysis Protocol: CPA + Constraint Rate Comparison (DATASET)

A Physical Derivation of Super-Arrhenius Viscosity: Resolving the VFT Singularity

This record completes the preregistered study Glass-Freeze Analysis Protocol (November 2025), presenting a physical resolution to the long-standing interpretation problem of the Vogel-Fulcher-Tammann (VFT) law.

While the empirical VFT law has successfully modeled glass-forming liquids for over 70 years, its reliance on a divergent temperature (T₀) lacks a clear physical basis. This dataset evaluates the CPA + Constraint (CPA + C) formulation derived from Dynamic Present Theory (DPΦ), which models viscosity not as a function of thermal divergence, but as a result of increasing informational Constraint Load (C) on the rate of Continuous Present Actualization (CPA).

Key Findings:

• Statistical Parity: The CPA + C formulation reproduces the VFT curve with negligible statistical difference (R² > 0.99) across three chemically distinct datasets: Ortho-terphenyl (OTP) (Laughlin & Uhlmann, 1972; Plazek et al., 1994) and Glycerol-Water mixtures (Kumar et al., 1994).

• Physical Mechanism: The analysis demonstrates that the nonlinear curvature of viscosity arises naturally from constraint-driven actualization dynamics, effectively replacing the non-physical VFT singularity with a quantifiable, mechanistic variable (CPA Lock-In, or Tg).

• Robustness: In the independent Plazek OTP dataset, the CPA + C model slightly outperformed the VFT reference (AIC -33.81 vs -33.42), validating the model's predictive capability.

Contents:

• Raw viscosity-temperature data for all three systems.

• Extracted model parameters and residual analysis.

• High-resolution comparative fit figures.

• Documentation for the Glass GUI V1.1 (custom analysis tool by C. E. Precker, 2025).