Abstract

We develop a unified physical framework in which a single medium — the ether, modelled as a superfluid quantum condensate — accounts for electromagnetic wave propagation, general relativity, the dark sector, quantum ground states, the Schrödinger equation, and quantum non-locality. The programme synthesises three existing but previously disconnected research traditions: the Unruh–Visser analog gravity programme, Stochastic Electrodynamics (SED), and Nelson's stochastic mechanics.

In the gravitational sector, we prove that the Painlevé–Gullstrand form of the Schwarzschild metric is exactly the acoustic metric for an ether flowing radially inward at the Newtonian free-fall velocity (Theorem 3.2), reproducing all classical tests of Schwarzschild gravity. We extend this identity to the Kerr metric for rotating sources, reproducing Gravity Probe B precession rates (Theorem 3.4). We derive the full Einstein field equation $G_{\mu\nu} = (8\pi G/c^4)T_{\mu\nu}$ from the ether by two independent routes: via the Weinberg–Deser–Lovelock uniqueness theorems (Theorem 3.5) and via the thermodynamics of the ether's zero-point field using the Jacobson–Clausius argument (Theorem 3.10). Newton's constant $G$ is determined by the entanglement entropy of the ZPF across acoustic horizons. We show that all ten PPN parameters match general relativity exactly (Theorem 3.6), that the ether horizon produces Hawking radiation at the correct temperature with trans-Planckian resolution (Theorem 3.7), and that the ether's gravitational waves have exactly the GR polarisation content — two tensor modes, zero scalar modes (Theorem 3.8). The gravitational programme is complete at the level of the classical field equations.

We derive the MOND phenomenology — including the Radial Acceleration Relation — from the ether's superfluid equation of state without invoking dark matter particles or modified gravity (Theorem 4.1). We show that the ether's phonon zero-point energy has the Lorentz-invariant spectrum required for $w = -1$ (Theorem 4.2), with the energy scale set by the condensate healing length rather than the Planck length, reducing the vacuum catastrophe from a 122-order-of-magnitude discrepancy to an order-unity matching problem. The precise dark energy density is determined by the integration constant of the trace-free Einstein equation derived from the ether action (Theorem 3.10), whose value depends on the vacuum energy budget of the multi-component ether required by the electromagnetic sector (Proposition 6.1). We establish that the ether's perturbation equations reduce to those of $\Lambda$CDM for all wavenumbers below the Jeans scale, with the cosmological constant entering as the integration constant of the trace-free Einstein equation (Theorem 4.3). We derive the MOND acceleration scale $a_0 = \Omega_{\text{DM}}\,c\,H_0/\sqrt{2}$ from cosmological parameters, agreeing with the observed value to 0.5% and eliminating $a_0$ as a free parameter (Proposition 4.4). This derivation predicts that $a_0$ evolves with redshift as $(1+z)^{3/2}$ during matter domination — a falsifiable prediction distinguishing the ether framework from standard MOND.

In the electromagnetic sector, we derive the complete plasma dielectric tensor from the ether's SED dynamics (Theorem 5.1) and prove that Alfvén wave propagation realises the elastic-ether structure that Young postulated in 1801 (Theorem 5.2), with magnetic tension providing the shear rigidity.

In the quantum sector, we show that the ether's electromagnetic zero-point field maintains atomic ground states at the correct quantum energies (Boyer's Theorem 6.1), that stochastic diffusion through the ether yields the Schrödinger equation (Nelson's Theorem 7.1), that the Madelung transformation of the Schrödinger equation produces the de Broglie–Bohm guidance equation as the superfluid velocity of the ether condensate (Proposition 7.3), and that the ether's long-range correlations at zero temperature produce Bell violation saturating the Tsirelson bound (Theorem 8.5).

The framework generates a falsifiable prediction that differs from standard quantum mechanics: the thermal degradation of Bell correlations follows $|S(T)| = 2\sqrt{2}/(1 + 2n_{\text{th}})^2$ — algebraic with exponent 2, rather than the exponential decoherence predicted by standard decoherence theory (Theorem 8.8). This prediction is testable with current superconducting circuit technology.

We present a complete empirical programme identifying numerous quantitative predictions across three domains (cosmology/gravity, quantum foundations, electromagnetic propagation), connected by a small number of fundamental parameters — with two free parameters remaining in the gravitational sector ($m_e$ and $\hat{\mu}$, bounded by CMB compatibility and MOND dynamics). We provide explicit falsification criteria and a prioritised ten-year research roadmap.