Eternal Foam, Gravity--Plexus Expansion, and Relic Graviton Double-Loops:

In the Foam–Plexus Theory of Everything (ToE), spacetime is an eternal quantum foam of Planck-scale quanta connected by wormholes. Distinct plexuses (Gravity, EM, Weak, Strong, Higgs) are emergent subnetworks that mediate forces and define particle structures. We argue that the foam is eternal and invariant, while only the Gravity–plexus evolves on cosmological scales. This decoupling preserves the constancy of G, α, particle masses, and other low-energy constants, yet allows large-scale geometry to change through the state of a gravity-only sector. We identify the cosmologically active component as a relic graviton double-loop medium—stable, closed, Gravity-face double loops left from early foam turbu- lence. Its bound phase behaves DM-like, while its percolating unbound phase has a negative effective pressure that drives late-time acceleration. We provide explicit evolution equa- tions for the Gravity–plexus density, quantify force-hierarchy rigidity via harmonic-oscillator wormhole scales, list falsifiable signatures (GW “mesh” noise, small w(z) drift, lensing sub- tleties, local H variation), and link the scenario to an inflationary prelude without singular- ities. This yields a constant-Gcosmology that addresses the cosmological constant problem, the Hubble tension, and the stability of local physics. (Technical foundations: BEAST ToE, Gravity standalone, Oscillator wormholes, LQG/String mappings [1, 2, 3, 4, 5].)