Harmonic-Geometric Viscous Emergent Spacetime

Harmonic-Geometric Viscous Emergent Spacetime (HG-VES) is a self-contained theoretical framework in which spacetime, matter, and effective gravitational dynamics emerge from a deeper informational and harmonic-geometric substrate. The theory develops the original Viscous Emergent Spacetime program from an information-hydrodynamic cosmology into a broader emergence framework. Its central claim is that viscosity is not fundamental. Instead, bulk viscosity appears only as an infrared hydrodynamic relaxation signature of deeper harmonic-geometric decoherence and coarse-graining. The framework begins from a pre-geometric informational substrate in which stable, phase-coherent correlations survive entropic dispersion. These persistent harmonic correlations define relational structure, from which an emergent geometric domain and metric description arise. Matter is interpreted as the finite-energy, long-lived resonant spectrum supported by this emergent geometry. At large scales, coarse-graining over these resonant structures produces an effective informational fluid with conserved current, entropy production, and causal Israel-Stewart bulk relaxation. The updated formulation introduces a bulk-plus-horizon entropy principle, incorporating black-hole thermodynamic consistency through horizon entropy and the Hawking area-law constraint. It also imposes observational consistency conditions required for a viable effective theory: suppression of early-universe dissipation to preserve the near-perfect CMB black-body spectrum, reduction to ΛCDM-like behavior near recombination, cluster-scale collisionless behavior compatible with gravitational lensing systems such as the Bullet Cluster, and Kerr-compatible black-hole ringdown with only small dissipative or informational corrections. The galactic sector is separated from the cosmological bulk-viscous sector. Stationary galaxies are described not by cosmological viscosity but by a harmonic-geometric elliptic susceptibility equation, in which baryonic structure induces an effective response field that modifies the weak-field gravitational potential. This provides a structured route for SPARC rotation-curve testing through two-dimensional elliptic solvers, mass-to-light marginalization, nonlocal disk response, and train/test validation against RAR, NFW, and Burkert baselines. HG-VES remains an effective theoretical program rather than a completed microscopic theory. It is explicitly constrained by falsifiability requirements: failure to recover a Lorentzian continuum limit, stable resonant matter, local GR/Newtonian behavior, CMB-safe early evolution, Kerr-compatible black holes, or competitive galactic validation would rule out or severely restrict the framework. The present work consolidates the ontology, axioms, hydrodynamic limit, observational constraints, galactic program, and falsification criteria into a single self-contained formulation.