A speculative space-time wave representation of neutrino oscillations

This paper develops a conservative effective construction in which a neutrino is represented as a phase-closed space-time wavefront rather than as a point particle endowed with three primitive rest masses. The model treats the neutrino as a weak guided metric excitation with an internal compact phase structure, while retaining the standard electroweak charged-current framework at low energies.

The central result is a boundary/GR variational closure in which the effective phase-density load, the carrier-envelope scale, and the dimensionless spectral depth arise from a single reciprocal boundary-clock structure. The resulting one-phase spectral problem naturally produces two low-lying beat splittings whose hierarchy matches the two dominant neutrino oscillation scales. The same construction separates the infinite internal STW spectrum from the three weakly active propagation sectors selected by charged-current spinor-lock boundary conditions.

The PMNS-like structure is not inserted as an arbitrary mixing matrix. Instead, it is obtained as a boundary overlap between internal STW propagation modes and the three charged-lepton ST–EM lock branches. The active triplicity is therefore attributed to the rank-three charged-current boundary projection associated with the electron, muon, and tau sectors, while the internal topological spinor-lock charges label the minimal winding sectors inside this active subspace. In this leading closure, the model yields realistic values for the solar and reactor mixing angles, maximal atmospheric mixing at zeroth order, and a CP phase associated with spinor half-holonomy.

Higher internal splittings are present in the raw STW spectrum, but they are not interpreted as additional charged leptons or unsuppressed sterile-like active states. They are internal excitation sectors whose charged-current visibility is suppressed by the boundary selection rule. For cosmology, the relevant quantity is not a direct arithmetic sum of all internal split energies, but the coherent long-wavelength gravitational response of the phase-averaged STW structure. This gives a lighter effective cosmological response than the naive RMS mass estimate and places the model near the minimal normal-ordering region.

The construction remains an effective hypothesis rather than a completed first-principles derivation. Its main claim is that a small set of reciprocal boundary, spinor-lock, and variational closure rules can reproduce several central features of neutrino phenomenology while leaving sharply defined microscopic tasks: deriving the full nonlinear STW boundary action, the charged-lepton lock kernels, and the cosmological response functional from a deeper covariant theory.