The Resolution of the Electron Point-Particle Paradox via the GTOC Domain Equivalence Postulate

In standard particle physics, the electron is classified as a zero-dimensional point particle due to the inability of modern colliders to measure a finite spatial radius below 10^-22 m. However, attributing a finite rest mass to a zero-volume coordinate results in a mathematical singularity of infinite density, violating the core principles of General Relativity.

This paper resolves the paradox by applying the General Theory of Correspondence (GTOC). By introducing the Domain Equivalence Constant (Phi_D), we demonstrate that physical mass and spatial geometry converge at the absolute universal baseline. Correcting for the historically miscalibrated Planck ruler, this framework utilizes the 10^-31 zero-latency computational floor scaled to 10^122 to accurately reflect the universe's macroscopic cosmological constants.

Under this architecture, the electron is shown to not be a zero-dimensional point; rather, its mass inherently dictates a strict geometric boundary at the 10^-31 m baseline. This establishes a finite, calculable density, perfectly unifying particle mass with spatial geometry and resolving the infinite-density anomalies of the standard model.