Dark Energy Ocean Theory (DEOT): A Self-Consistent, Falsifiable Quantum Condensate Framework with Emergent Information Pressure

We present the Dark Energy Ocean Theory (DEOT), a mathematically closed, simulation-ready

effective field theory for the dark sector. The fundamental degree of freedom is a complex scalar field

Ψ, interpreted as the order parameter of a self-gravitating quantum condensate. The Lagrangian

contains a mass term, a quartic self-interaction, and a unique logarithmic potential derived from

the Shannon entropy density, acting as an emergent information pressure. We adopt the adiabatic

coarse-graining limit, assuming instantaneous local equilibration of the information sector, and

treat the gravitational coupling as the effective perfect-fluid projection of the coarse-grained

stress-energy tensor. In the non-relativistic, weak-field regime, the dynamics reduce to a nonlinear

Schr¨odinger equation coupled to a Poisson equation sourced by ρ + 3P, where P = λρ2 + βρ is the

total isotropic pressure. This pressure-enhanced gravity stabilizes galaxy cores, yields flat rotation curves, and predicts a distinct observational signature: a logarithmic deviation in the circular

velocity ∆v(r) ∝pβ/m pln(1 + r/rs). Five falsification criteria are stated. Numerical simulations validate the soliton–halo structure and the ∆v(r) signature. DEOT provides a complete,

computationally executable dark-sector paradigm that is distinguishable from standard fuzzy dark

matter.