Corrected Photon Physics

Description

Methods (English)

This work presents a corrected formulation of electromagnetic wave geometry and single-photon phase structure. In a physically consistent model, both electric (E) and magnetic (B) field components begin and end on the propagation axis, imposing the conditions E(0)=E(360)=0 and B(0)=B(360)=0. This establishes the true photon wavelength as a single closed phase interval from 0° to 360°, in contrast to the standard 90°–450° construction, which spans two temporal cycles and unintentionally merges two photons into a single mathematical representation.

The full physical amplitude of the electromagnetic field is ΔA = 2, corresponding to the symmetric interval –1 to +1. This complete excursion is necessary for correct energy density, field symmetry, and spin analysis. Standard representations often use a reduced amplitude (A=1), losing the inherent (–1 ↔ +1) symmetry.

Classical wave spins (±1) occupy the 90°–270° interval, arising from the orthogonal E/B rotation. However, the photon’s internal structure becomes evident only when analyzing the full 0°–360° cycle. The physically relevant internal boundaries appear at amplitude ±1/3 rather than the conventional ±1/2. These boundaries generate four internal intersection nodes corresponding to intrinsic photon spin states ±1/2. Thus, the corrected model differentiates between the ±1 spins of the extended electromagnetic wave and the ±1/2 spins of the indivisible photon.

By restoring the correct wavelength (0°–360°), amplitude (ΔA = 2), and internal boundaries (±1/3), this work establishes a complete and geometrically consistent photon-wave framework. It resolves hidden inconsistencies in the standard model, eliminates the implicit two-photon merging of the textbook sinusoid, and provides a coherent mathematical basis for single-photon geometry, spin structure, and electromagnetic phase dynamics.