Relativistic Quantum Hydrodynamics on Non-Orientable Möbius Bundles: Three-Vortex Nucleon Solitons, Bloch Generation Resonances, and High-Q² Proton Form Factors
Year: 2026
Type: article
Abstract: We formulate the microscopic sector of the Emergent Superfluid ESEM Model on a non-orientable Möbius bundle governed by a single free geometric core parameter, r₀ = 0.000635 fm. From the topological eigenvalues of the relativistic Gross–Pitaevskii–Proca–Cartan equations (m = 1, 3/2, 2), we obtain the exact sonic throat ratio χ = r₂/r₁ = 4/3 and an Efimov–Wilson renormalization limit cycle generating the discrete scale lattice rₙ = r₀(4/3)ⁿ. Without adjustable fit parameters, this geometry reproduces electroweak Higgs-cavity self-consistency (I_ℏ = 0.9993), the proton mass (938.53 MeV) and charge radius (0.8438 fm), the pion doublet, and the fine-structure constant (α_EM⁻¹ ≈ 137.16). Interpreting fermion families as Z₃ Bloch torsion modes yields exactly N_gen = 3 sub-sonic generations, forbids tree-level μ → eγ decays by exact orthogonality, and derives the charged lepton masses (e, μ, τ) alongside heavy-quark scales. Relativistic Tolman–Oppenheimer–Volkoff integration sets the non-rotating neutron star maximum mass at M_max ∈ [2.06, 2.17] M☉, while cylindrical diffraction on the polar cap predicts a zero-crossing of the proton form factor ratio μₚG_E/G_M at Q₀² ∈ [5.62, 5.63] GeV², directly testable at Jefferson Lab SBS (GEp-V, E12-07-109)
Author: Pagano, Giovanni
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225753137
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