Re-Examination of Blackbody Radiation Theory and Elimination of the Ultraviolet Catastrophe Based on a Revised Classical Electrodynamics Framework

The blackbody radiation problem gave rise to Planck's hypothesis of energy quantization, which is regarded as the inception of quantum theory and ultimately led to a fundamental conceptual schism between the emerging quantum description and the established classical framework of physics. This paper argues that this historical turning point stems from a profound misunderstanding of the concept of the "quantum". Through a systematic critique of the three fundamental errors in the Rayleigh-Jeans formula, we propose, based on a revised classical electrodynamics framework, that the elimination of the ultraviolet catastrophe does not require the introduction of the assumption of energy discreteness. The key lies in recognizing that continuous energy transfer occurs only when electrons undergo accelerated or decelerated motion, and that the essence of the minimum energy unit ε is a natural measurement benchmark for this continuous process, rather than a physically discrete "energy packet". Building on this, we have derived a blackbody radiation formula that fully matches experimental data. This formula is consistent with the Rayleigh-Jeans formula in the low-frequency region and naturally exhibits exponential decay in the high-frequency region, successfully eliminating the ultraviolet catastrophe. This research fundamentally clarifies the physical origin of the "quantization" feature: it arises from the measurement discreteness of the energy transfer process and the constraints of thermodynamic statistics, rather than a change in the intrinsic nature of energy itself. This achievement not only fulfills Planck’s unfulfilled desire for a classical explanation but also demonstrates that blackbody radiation, and even a series of "quantum phenomena", can be fully explained within a purely self-consistent classical physics framework. This lays a crucial foundation for bridging the "classical-quantum" divide and reconstructing a unified theoretical system in physics.