Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold

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

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