Quantum-Entropy Reciprocity Principle (QERP):

In a region of spacetime with nonzero spacetime curvature (i.e. nonzero Ricci or Weyl curvature), quantum processes (such as particle creation, vacuum fluctuations, tunneling) contribute an irreducible “curvature‐induced entropy flux” into or out of local matter fields. Conversely, irreversible entropy production in matter fields (e.g. thermodynamic dissipation) sources backreaction in local curvature fluctuations. The reciprocity is quantifiable by a coupling constant, making this a principle connecting quantum fluctuations, thermodynamic entropy, and gravity.