Induced Superfluid Cosmology: A Theoretical Framework for Emergent Gravity and Dark Matter V3

Induced Superfluid Cosmology: A Unified Framework for Emergent Gravity and Dark Matter TRXT-Nullivance Version 3.0 This work proposes a theoretical framework unifying gravity, dark matter, and particle physics from a single microscopic origin: a chiral fermion condensate at the Planck scale. Core Lagrangian: LNJL = ψ̄(i∂)ψ + G/2[(ψ̄ψ)² + (ψ̄iγ₅ψ)²] Emergent Gravity: The Einstein-Hilbert action arises from one-loop Heat Kernel expansion: S = MPl²16π ∫ d⁴x √-g R Particle Spectrum: Masses follow a discrete harmonic law with M^* = 365.24 GeV: M(p,q) = M^* (1/p + 1/q) Dark Matter (SIDM): Yukawa interaction via Goldstone phonon: V(r) = -α_χ/r e-m_φ r Neutrino Mass: Tunneling through vacuum defects: m_ν = M^* exp(-L/ξ) ≈ 0.05 eV Solar Screening: Fifth-force suppression at Earth: ε ≈ 10⁻¹² (Cassini safe). Version 3.0 closes four critical problems: SIDM, Neutrino, Screening, Cosmological Constant. Ready for precision cosmology testing.