Quantum-Extended Kinematics: An Effective Proper-Time Framework for Neutrino Flavor Oscillation cite: 1, 2

We present Quantum-Extended Kinematics (QEK), an effective phenomenological framework in which neutrino flavor oscillation arises from a proper-time regulator rather than rest mass. The framework introduces a universal dimensionless constant ϵ=3.44×10−6 that modifies the Lorentz factor for particles possessing internal flavor structure, yielding a finite proper time floor at v=c that permits flavor wavefunction evolution. Geometrically, ϵ can be interpreted as the residual contraction of the Entropic Hessian along the neutrino's quasi-null worldline within the Unified Horizon-Null Relational Framework (UH-NRF): unlike a photon, whose worldline incurs zero informational cost, the neutrino's evolving flavor configuration produces a nonvanishing second-order variation in entanglement entropy. Two flavor coupling constants, Λ21=0.201 eV and Λ32=1.15 eV, replace the Standard Model mass-squared splittings through Δm2↔Λ2ϵ. We demonstrate that this mapping reproduces all measured oscillation parameters in the solar, atmospheric, and reactor sectors, including the full MSW matter effect and the energy-dependent survival probability of solar neutrinos. The framework makes a specific, falsifiable prediction distinguishable from the standard massive-neutrino theory: because both A-eigenstates propagate at exactly v=c, no wavepacket decoherence occurs over astronomical baselines. For 8B solar neutrinos, this predicts a day/night asymmetry of ADN≈−2.7%, shifted by +0.3% from the standard prediction of -3.0%, a difference resolvable at Hyper-Kamiokande (~2027). Additional discriminating predictions for cosmological structure formation (CMB-S4) and direct mass measurements (Project 8) are discussed.