From the Fractal Characteristics of Photons to the Deep Integration of Fractal Spacetime and Quantum Field Theory.
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Based on the theory of Dynamic Rigid Fractal Spacetime Manifolds (DRFSMT)(please refer to the References 11 and 12), this paper systematically explores thefundamental corrections to the dynamical behavior of fundamental bosons (usingphotons as an example) due to fractal spacetime geometry. By introducing fractalmeasures, fractional derivatives, and renormalization group methods, it reveals thescaling anomalous characteristics of photon propagation phase, interference visibil?ity, and energy distribution. Theoretical predictions indicate that when the fractaldimension DH > 4, the position uncertainty of photons exhibits exponential growth,with an interference visibility decay coefficient of α = 0.42 ± 0.03. The experimen?tal verification scheme encompasses fractal grating interference, quantum dot arraylocalization, and observations of cosmological dispersion corrections. This paperprovides a mathematical framework and experimental paradigm for the applicationof fractal geometry in quantum gravity theory.