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Constructible Trigonometry: Numerical Trigonometry over a Field – Robert Marshall Murphy
One of the primary objects in trigonometry is the angle, a transcendental quan- tity which can typically only be approximated. By instead using the slope at vertices, many new formulae and discoveries can be found, and even computed by hand. This paper presents a reformu- lation of trigonometry based entirely on constructible numbers, using slope
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Absence of Diffeomorphism Symmetry for Black Hole Spacetime: a prelude to Black Hole Spacetime being a Smooth Finsler Manifold – Shreyansh Singh
We propose another version of Black Hole information Paradox owing absence of Diffeomorphism symmetry for Black Hole Spacetime. The central idea is assumptions of semiclassical Gravity like locality, causality and diffeomorphism symmetry lead to another paradox. The paradox unlike many other recent versions of Information paradox is valid even at very early times. The possible
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