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October 9, 20250 citationsOpen Access

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

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HSHacı Soğukpınar

Key Points

  • Neutrino oscillations are framed as phase resonance transitions rather than traditional mass eigenstate mixing.
  • A UFQFT-based probability formulation replaces Δm² with effective fractal dimension and phase differences.
  • This geometric-field interpretation aligns with standard oscillation phenomenology and highlights potential implications for experiments.
  • The study addresses conceptual gaps in the Standard Model, linking neutrino masses to the geometric nature of fractal spacetime.

Abstract

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.

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Cite This Study

Hacı Soğukpınar (2025) studied this question.

synapsesocial.com/papers/68e80eb363e2e2f707877c7fhttps://doi.org/10.14293/pr2199.002047.v1
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