Nietzsche for physicists

One of the most important philosophers in history, the German Friedrich Nietzsche, is almost ignored by physicists. This author who declared the death of God in the 19th century was a science enthusiast, especially in the second period of his work. With the aid of the physical concept of force, Nietzsche created his concept of will to power. After thinking about energy conservation, the German philosopher had some inspiration for creating his concept of eternal recurrence. In this article, some influences of physics on Nietzsche are pointed out, and the topicality of his epistemological position$-$the perspectivism$-$is discussed. Considering the concept of will to power, I propose that the perspectivism leads to an interpretation where physics and science in general are viewed as a game.Comment: 14 pages. Version 3 with improvements, corrections. Accepted in Philosophia Scientia

Constraining the tidal charge of brane black holes using their shadows

A constraint on the tidal charge generated within a brane world is shown. Using the shadow of a rotating black hole in a brane context in order to describe the M87* parameters recently announced by the Event Horizon Telescope Collaboration, the deviation from circularity of the reported shadow produces an upper bound on the bulk's nonlocal effect, which is conceived of as a tidal charge in the four-dimensional brane induced by the five-dimensional bulk. Therefore, a deviation from circularity $\lesssim 10\%$ leads to an upper bound on the tidal charge $\lesssim 0.004M^2$.Comment: 9 pages, 2 figures, 1 table. V2 with minor changes and new references. Published in The European Physical Journal

Geometrization 3.0: the black hole shadow

There have been three geometrizations in history. The first one is historically due to the Pythagorean school and Plato, the second one comes from Galileo, Kepler, Descartes and Newton, and the third is Einstein's geometrization of nature. The term geometrization of nature means the conception according to which nature (with its different meanings) is massively described by using geometry. In this article, I focus on the third geometrization, in which the black hole shadow phenomenon provides an interesting statement about the level of geometrization achieved by the theory of general relativity. With the black hole shadow described by the Einsteinian theory, the geometrical interpretation of nature relates shape to dynamics or, more specifically, the shadow silhouette to the angular momentum, regardless the matter content inside the black hole. As a consequence, spacetime symmetry could play the role of the formal cause in black hole physics.Comment: 18 pages, 3 figures, 1 tabl