Origin of Chirality and the Neutrino in the RSW Model

Origin of Chirality and the Neutrino in the RSW Model:
Derivation via Cross-Coupling between Electromagnetic Angular Momentum and Color Potential (Hypothesis Proposal) — v1.0

This paper is presented as a progress report on Task 4 "Quantitative derivation of left-handedness" from RSW (Rotating Spinor Wave) model v2.0 (publication in preparation). It is an exploratory consideration that attempts to derive the origin of the phenomenon that neutrino helicity is 100% left-handed from the geometric relationships among the three forces (electromagnetic, strong, and weak), rather than treating it as an external assumption (SU(2)_L) as in the Standard Model.

Key Ideas

The neutrino is positioned as an analogue of the electron: a rotating spinor wave packet of spin 1/2 carrying weak charge and interacting with weak photons (massless rotating spinor waves). The spinor internal rotation phase e^-iφ_xy is shared between the electron and neutrino; only the coupling target (photon vs weak photon) differs.

The central element is a single working hypothesis: that the overlap integral K̃_q between electromagnetic angular momentum density ℓ_z and color potential V_color takes a finite value. This concretizes the chiral coupling between the electromagnetic and strong forces. In addition, we inherit as an established premise from RSW model v2.0 the fixing of the orientation of e^-iφ_xy.

Main Results

• Chirality breaking in quarks: For chargeless quarks, the quantum condition of the strong force is left-right symmetric (degenerate). Adding electric charge combines Premise 1 and Hypothesis 1 to break the degeneracy.
• J=0 vs J=1: Chirality manifests as a scalar (mass m_π = ε_sε* = 142.2 MeV) in J=0 states (π meson), and as a chiral vector K̃_W⁻ ≈ 1.82×10^-3 in J=1 states (W/Z).
• Helicity determination: The combination of W⁻'s J_z=-1 state, angular momentum conservation, and the overlap integral with the internal chiral structure determines ν̄_e's right-handed helicity at 100%.
• Falsifiable prediction: A correction term δ(θ*) ≈ 1.82×10^-3 · cos θ* to the (1-cos θ*)² angular distribution, in principle verifiable in future precision experiments.

Consistency with Existing Results

Hypothesis 1 is structurally consistent with multiple existing observations:

• Sign structure of nucleon magnetic moments (complete consistency)
• Lepton parity conservation (since leptons have no color charge, K̃ = 0 automatically)
• Necessity of N_c = 3 (three-dimensional cross product becomes meaningful)
• Isotropic decay of π mesons (J=0 cancellation)
• Partial contribution to flavor asymmetry residual (~12% of the 2.7% residual)

Position within the RSW Series

This paper extends the RSW model's unified description to the weak sector, presenting an alternative picture in which the left-right asymmetry of the weak force is derived from the relationship between electromagnetic and strong forces. This contrasts with the Standard Model's approach of placing SU(2)_L as an external assumption. It serves as a progress report on Task 4 of RSW model v2.0.

Future Tasks

• Task X (highest priority): Rigorous incorporation of Hypothesis 1 into the self-consistency condition, currently in additive form as a working hypothesis
• Task Y: Formulation of the self-consistency condition with weak photons
• Task Z: Precise evaluation of correction terms
• Task V: Observational consistency of the predicted neutrino wave packet size (mm scale as minimum SAP)
• Task W (exploratory): Description of CKM and PMNS matrices by overlap integrals

Nature of This Paper

This paper is explicitly positioned as an exploratory consideration and hypothesis proposal. The working hypothesis nature is clearly indicated throughout, and unresolved problems are listed candidly. The boundary between what is established (Premise 1, from RSW v2.0) and what is newly proposed (Hypothesis 1) is rigorously maintained.

Keywords: RSW model, neutrino, helicity, chirality, parity violation, electromagnetic-color cross-coupling, weak photon, W/Z boson as composite state, beta decay angular distribution, Standard Model alternative

The Japanese version of this paper is also available.