Physics and Biology: towards a unified model

Shantilal Gangadas Goradia

Fred H. Thaheld

John Steven Torday, William Miller

Ndenga, Barack

The coexistence of quantum coherence, nonlinear fluid dynamics, and biomolecular π-fields within biological and nanoscale systems requires a unified mathematical description. Classical hydrodynamics alone fails to capture coherence propagation, while the linear Schrödinger equation cannot model dissipation, viscosity, or turbulence. Here, I introduce the Schrödinger–Navier–Stokes–π Unified Computational Framework, a novel equation set combining: the quantum phase field of the Schrödinger equation, the viscous and nonlinear transport of Navier–Stokes dynamics, the curvature-driven quantum π-potential, and a hybrid Hamiltonian–dissipative evolution capturing both coherence and irreversible flow. This framework predicts quantum-fluid transitions, π-induced tunneling acceleration, coherence-enhanced mixing, nanoscale turbulence, and dynamic switching between classical and quantum transport regimes. It provides a general model applicable to biology, nanotechnology, photonics, and quantum materials. Keywords : Quantum Hydrodynamics Navier–Stokes Schrödinger Equation Unified Computational Framework π-field Dynamics Quantum Fluid Mechanics Hybrid Quantum-Classical Transport Coherence-Based Models Quantum Biology Nanoscale Transport Bio-Quantum Modeling Quantum Potential Quantum Fluid Engineering Biophysical Modeling Nonlinear Dynamics Computational Physics High-Order Numerical Methods Dissipative Quantum Systems Biomolecular Channels Quantum-Inspired Computing

Hugh Christopher Longuet-Higgins

Truth Vector

The physical prerequisites for the biological observer and the Arrow of Time paradox remain two of the most persistent explanatory gaps in foundational physics. Current theoretical models attempt to map subjective awareness and irreversible thermodynamics as emergent byproducts of classical mechanics, treating the biological brain strictly as a one-way computational network. This approach fails to provide a mechanical precursor linking abstract mathematical probability to quantum-scale biological phenomena. To resolve this gap, this paper introduces a unified ontological dependency model—structured as an Ontological Dependency Graph (ODG)—that maps the architecture of the biological observer from foundational axioms (encompassing set bijections, combinatorics, and probability distributions) down to the physical collapse of the wave function. The proposed framework demonstrates that classical thermodynamics is not an absolute physical law, but a scale-dependent projection of a bidirectional quantum vacuum. By synthesizing Kolmogorov probability spaces with the physical vacuum friction of Stochastic Electrodynamics (SED), the graph establishes the rigorous thermodynamic precursors required for biological consciousness. The graph joins Boltzmann statistical mechanics, Wheeler–Feynman absorber theory, and Penrose–Hameroff Orchestrated Objective Reduction (Orch-OR). The microtubule network is modeled as a localized thermodynamic diode. The unidirectional “now” is Landauer’s principle acting on the time-symmetric wave mechanics of the Zero-Point Field. After the handshake node, a hypothesized task-class increment $\Delta S(\omega; D, e, M)$ is added to the admitted ZPF measure sampled by the rectifier. The diode required for sequential perception follows from the stated postulates.