"τ₀ Theory and the Three Fundamental Laws of Response: Implications for Cancer Dynamics, Detection, and Therapy"

This study extends the τ₀ theory—a universal lower bound on system response time derived from thermodynamic and information-theoretic principles—into the biomedical domain by integrating it with the Three Fundamental Laws of Response. We demonstrate that any biological system constrained by finite energy supply, intrinsic information delay, and stability-preserving feedback will naturally converge to a rational, saturating input–output curve. In cancer dynamics, this framework explains how tumor progression often begins with the breakdown of information processing and stability constraints, eventually leading to the thermodynamic breach that fuels uncontrolled proliferation. We identify three key translational implications: (1) physical detection of proliferation speed limits via τ₀-bound analysis; (2) improved early-stage diagnostic accuracy by quantifying τ₀-induced delays in imaging modalities; and (3) discovery of upper bounds for drug delivery efficiency, offering a new optimization target for nanocarrier-based therapies. These results position τ₀ and the Three Fundamental Laws as a unifying bridge between physics and oncology, enabling testable predictions and novel intervention strategies.