A Unified Scientific Framework, Beyond Topology: Viscoelectric, Plastic, Active and Self-Propelled Geometric Unification

This framework [1] builds a principled bridge between adaptive control, biophysics, first-principles physics, and soft-matter theory across both non-equilibrium and equilibrium regimes. In the forced–GUT limit it exposes an equilibrium component manifold, a non-dissipative thermodynamic locus that serves as a self-consistent reference state for otherwise far-from-equilibrium soft-matter and biophysical dynamics. Functionally analogous to stochastic control architectures, this manifold provides an intrinsic, physically grounded reference for dynamical inference and controller design. Crucially, the framework integrates computational and biophysical response dynamics (e.g., neural or sensory feedback), and uses complex geometric structure to impose physical constraints on high-energy, non-dissipative limits. We therefore propose the framework as a unified biophysical theory: in the high-energy (non-dissipative) limit, the non-equilibrium behavior of adaptive soft matter admits an effective Grand-Unification–style description (Newell, 2024) that links equilibrium geometry to the space of possible nonequilibrium trajectories. In other words, we vigorously pose that their exists a thermodynamic conjugate for every active process (for all time in both macroscopic and the microscopic limit).

[1] Newell, M. J. (2025, August 9). A Unified Scientific Framework, a Perspective Discovery of Hidden Fundamental Principles: Entropy Driven Stochastic-Based Emulation Framework. Preprints, 202510.1048.v1. https://doi.org/10.5281/zenodo.17309747

[2] Beyen, A., & Maes, C. (2025). Noether’s theorem applied to GENERIC. Continuum Mechanics and Thermodynamics, 37(6), 1-20. https://doi.org/10.1007/s00161-025-01238-8