Neutrino Oscillations as Φ–Ψ Phase Resonance Transitions in Unified Fractal Quantum Field Theory (UFQFT)

Neutrino oscillations are conventionally interpreted in the Standard Model as quantum mechanical transitions between flavor and mass eigenstates, requiring small but finite neutrino masses and mixing described by the PMNS matrix. While experimentally successful, this framework leaves unanswered conceptual issues, including the origin of neutrino masses and the absence of a geometric foundation. In this work, we reinterpret neutrino oscillations within the Unified Fractal Quantum Field Theory (UFQFT), where all particles arise as resonance configurations of the unified energy (Φ) and charge (Ψ) fields in a fractal spacetime (D ≈ 2. 7). Within this approach, neutrino flavor states correspond to distinct Φ–Ψ phase resonance modes of a single fundamental neutrino configuration, and oscillations emerge as phase transitions between these resonance modes rather than mass eigenstate mixing. We formulate a UFQFT-based oscillation probability that replaces Δm² with effective fractal dimension (ΔD) and phase differences (Δφ⏥⏧). This framework not only recovers the standard oscillation phenomenology but also provides a deeper geometric-field interpretation with potential implications for long-baseline neutrino experiments.