Abstract

Reanalysis of the Schwarzschild Radius

Author(s): James C. Fowler

The Schwarzschild solution to Einstein’s field equations reveals a potential singularity at a critical point known as the Schwarzschild radius. The singularity can be eliminated by transforming to any of several alternate coordinate systems. This fact supports the current interpretation that the Schwarzschild radius poses no obstruction to the formation of black holes or the smooth motion of bodies falling freely across it. However, while it is almost universally acknowledged, this interpretation harbors inconsistencies and unresolved issues. Over the past twenty years, I have performed a thorough reanalysis of this topic in search of a resolution to these unresolved issues. In the process, I have discovered that while the mathematical analysis is correct, the current interpretation of that analysis is faulty. In its place, I propose a far more intuitive interpretation of Schwarzschild geometry that is consistent with the mathematical analysis and reconciles perfectly with all related physical observations. This new model does, however, yield predictions concerning black hole theory that differ significantly from those of the current theory.