This work demonstrates a microphysical realization of the correlational domain using an entanglement network, suggesting new insights into emergent spacetime.
Key Points
The aim is to propose a minimal microphysical realization of the correlational domain within the HDC–CBC framework, linked to entanglement networks.
Developed a statistical toy model illustrating the emergence of a free-energy landscape from entanglement density.
Identified the coherence parameter with coarse-grained entanglement density and correlational potential as a free-energy functional.
Reinterpreted the HDC–CBC variational condition in terms of entanglement energy and emergent geometric response.
Demonstrated how a local quadratic minimum emerges naturally near equilibrium.
Showed that coarse-grained relaxation yields a gradient-flow evolution law consistent with HDC–CBC's effective historical closure.
Highlighted that the framework does not introduce new effective cosmological degrees of freedom.