Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold

Details Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold

2004-11-25

arxiv.org/abs/gr-qc/0411121v14

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Size: 481 pages. The document is pretty much in its final form. We are still groping with quotations' referencing in the text.

Scientific paper

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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