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Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold

Anastasios Mallios·Ioannis Raptis
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Abstract

The smooth gravitational singularities of the differential spacetime manifold based General Relativity (GR) are viewed from the perspective of the background manifold independent and, in extenso, Calculus-free Abstract Differential Geometry (ADG). In particular, the inner Schwarzschild singularity is being `resolved' ADG-theoretically in two different ways. A plethora of important mathematical, physical and philosophical issues in current classical and quantum gravity research are addressed and tackled.

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Anastasios Mallios, Ioannis Raptis. 2005-03-17. Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold. https://arxiv.org/abs/gr-qc/0411121

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