Quantum Enthalpy-Entropy Theory: A Unified Framework for Hadron Stability and Cosmological Dark Components via Emergent Enthalpy-Entropy Competition

This paper proposes the Quantum Enthalpy-Entropy Theory (QEET), establishing a unified framework in which hadron stability and cosmological dark components are governed by the same emergent logic of enthalpy-entropy competition, with the Quantum-Cosmological Emergence Bound (QCEB) serving as the quantitative bridge across scales. The central result is a Quantum-Cosmological Emergence Bound (QCEB): \[ \sigma(t)\cdot \Delta A\cdot \Delta B \leq \hbar \cdot J(\rho)\cdot c^2. \] It reveals a complementarity constraint between quantum uncertainty (the ''geometric inertia'' of quantum state space) and entropy production rate (the irreversible rate of coarse-graining), bounded by the speed of light--quantum order must pay an entropy cost, and the payment rate cannot exceed the information capacity of the light cone. We demonstrate that within the QCEB framework, the eigenstate thermalization hypothesis (ETH) can be understood as an emergent manifestation of the saturation of this bound. On this basis, we introduce the enthalpy-entropy ratio \(\xi_{\max}\) and the quantum driving polarity \(\chi\) as classification tools, partitioning quantum objects into entropy-dominated (diffusive) and enthalpy-dominated (bound) types, and map them to triality-trivial and triality-nontrivial representations in the SU(3)₃ flavor category. The framework predicts that baryons are systematically longer-lived than mesons, a prediction verified by 2024 PDG data (256 pairs, accuracy 67.58%, \(p<10^{-8}\)). Extending the framework to cosmological scales, we propose candidate theories for dark energy and dark matter: dark energy is interpreted as entropy-driven diffusive (bosonic) dynamics, yielding \[ w(z)=-1+\delta\cdot\tanh(z/z_*), \] dark matter is interpreted as enthalpy-driven topologically protected bound states, yielding an exponential scaling law for lifetime lower bounds and scattering cross sections. The coincidence problem \(\Omega_m/\Omega_\Lambda\sim O(1)\) is explained as a non-equilibrium steady state in which the universe approaches the ETH saturation boundary. We list three experimentally falsifiable conditions (F1–F3), achieving a unified description of the structural regularities across hadronic and cosmological scales, with the same emergent enthalpy-entropy logic manifesting in both regimes within well-defined testable boundaries.