Λ(t,θ,ϕ): Unified Field for Dark Matter – ToE-2PS
Authors/Creators
Description
This work introduces Λ(t,θ,ϕ), a unified scalar field with intrinsic toroidal coherence that reproduces the main dark matter formalisms—density ρ, gravitational potential Φ, and scalar wavefunction ψ—as exact limits of a single framework. The model resolves long-standing astrophysical tensions, matches current observational data, and provides concrete, falsifiable predictions for 2026–2030, including collider signatures near 20 GeV and toroidal oscillations detectable by LISA.
Abstract (English)
**The Λ(t,θ,ϕ) field proposed in this article establishes a unifying mathematical and physical structure for dark matter, based on toroidal topology and intrinsic coherence. By deriving the density field ρ, gravitational potential Φ, and fuzzy-DM wavefunction ψ directly from Λ, the model eliminates the fragmentation present in current cosmological approaches.
The framework naturally produces cored halos, supports early galaxy formation consistent with JWST, and offers a coherent explanation for Hubble tension via directional modulation. Phenomenologically, Λ predicts compatible (but not conclusive) mass benchmarks near 20–29 GeV—aligned with mild ATLAS excesses—through a Higgs–toron portal with κ ~ 10⁻³.
This expanded edition includes full derivations, an explicit Poisson-limit reduction, and outlines a program for Λ-based N-body simulations using GADGET-style codes. The model provides falsifiable predictions for HL-LHC, LISA, 21-cm cosmology, and EEG–CMB coherence signatures in the 8 Hz band, offering a comprehensive roadmap for testing toroidal dark matter in the 2026–2030 observational window.**
Files
Dark Field.pdf
Files
(2.2 MB)
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