Constant Inconsistency: The Crack Between Compton Wavelength and Fine-Structure Constant

Quantum mechanics and particle physics have long relied on a set of "fundamental constants"—the electron mass me, Planck's constant h, and the fine-structure constant α—as the underlying scaling benchmarks. This paper demonstrates that these parameters are not absolute attributes independent of the measurement system, but rather the self-consistent closure relations that an electron must necessarily exhibit during self-referential measurement processes under specific conditions. The electron parameter system constructed by classical physics via the Compton wavelength is inconsistent with the parameter system of (Planck's constant h, the fine-structure constant α, and the electron mass me). The fundamental reason is that the Compton wavelength formula implicitly assumes d/v=1, while the true ratio obtained from the electron through Planck's constant h and the fine-structure constant α is d/v≈68.5. Modern quantum field theory assumes that the Compton wavelength formula system and the (h,α,me) system are consistent expressions, revealing a gap in their logical consistency. Starting from World Quantum Theory and Ontological Electromagnetism, this paper derives a self-consistent parameter closure for the electron under specific conditions: wave speed ve=2αc, orthogonal component , intrinsic frequency fw=2α2Ee/(πℏ)≈2.63×1016 Hz, and intrinsic wavelength λe≈1.663×10−10 m. The "specific conditions" referred to above mean that the self-consistent parameters derived for the electron in this paper are not universal throughout the cosmos, but rather take specific values only under specific conditions on Earth. If located in deep space, deep underground, in the deep ocean, or in weak electromagnetic regions such as the South Atlantic Anomaly (SAA), this self-consistent parameter system may no longer hold. Keywords: Self-referential measurement; electron parameters; inconsistency; World Quantum Theory; self-consistent closure