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April 13, 20260 citationsOpen Access

UD Theory in the Microscopic Low-Energy Regime: Consistency with QED

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DZDan Zhu

Key Points

  • The aim is to demonstrate the consistency of UD theory with QED, particularly at low-energy scales.
  • Analyzed the UD axioms to derive the fundamental mass scale in natural and Planck units.
  • Computed effective Lagrangian by integrating out heavy fields from the UD action.
  • Evaluated the electron anomalous magnetic moment using a one-loop diagram with heavy field exchange.
  • Discussed corrections to various low-energy observables like the Lamb shift and muon g-2.
  • The correction to the electron anomalous magnetic moment due to UD theory is at most 3.54×10^{-24}, far below current experimental precision.
  • UD corrections to the Lamb shift and muon g-2 also remain negligible compared to experimental measurements.
  • No deviations from QED are observed at accessible energy scales, affirming QED's success over decades.

Abstract

This paper demonstrates the consistency of UD theory with quantum electrodynamics (QED) in the microscopic low-energy regime. From the UD axioms, the fundamental mass scale is exactly m₀ = 1/ (2πe^π) in natural units. In Planck units (MP = 1), the dimensionless ratio is m₀/MP = 1/ (2πe^π) ≈ 0. 00688, an exact consequence of the UD axioms. All four aspects UU, UD, DD, DU have masses determined by m₀, of order MP. At energies E ≪ MP, these heavy fields cannot be produced as real particles. They can only appear as virtual particles in loop diagrams, and their propagators are suppressed by 1/m₀² ~ 1/MP². Integrating out the heavy fields from the UD action yields an effective Lagrangian at low energies: Lₑff = LQED + (c₅/MP) O₅ + (c₆/MP²) O₆ +. . . Taking the electron anomalous magnetic moment aₑ = (g-2) /2 as an example, we compute the one-loop diagram with a heavy field exchanged between the electron and the photon. Using standard techniques and the UD constants, the correction satisfies the upper bound: δaₑUD ≤ 3. 54×10^-24. The current experimental precision is Δaₑᵉxp ≈ 2. 8×10^-13 (CODATA 2022). The UD correction is at most eleven orders of magnitude below experimental precision, completely unobservable. We also discuss other low-energy observables: - Lamb shift: UD correction ~ 10^-11 eV (precision ~ 10^-6 eV) - Muon g-2: UD correction ≤ 7. 31×10^-22 (precision 4. 6×10^-10), cannot explain the 4. 2σ discrepancy- High-energy colliders: E/MP ~ 10^-16, effects completely negligible This explains why QED has been so successful over the past seven decades: the fundamental scale of UD theory is the Planck scale, and all corrections are suppressed by powers of E/MP. No deviation from QED is expected at currently accessible energies. The UD theory is fully consistent with all existing QED tests.

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Cite This Study

Dan Zhu (2026) studied this question.

synapsesocial.com/papers/69dc88f43afacbeac03eaafbhttps://doi.org/10.5281/zenodo.19513750
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