Titlebook: Space, Time, and Mechanics; Basic Structures of D. Mayr,G. Süssmann Book 1983 D. Reidel Publishing Company, Dordrecht, Holland 1983 Issac

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Space, Time, and Mechanics978-94-009-7947-5Series ISSN 0166-6991 Series E-ISSN 2542-8292

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Geometrie und Physik,dasjenige korrekt beschreiben, was in der Physik der Raum genannt wird. Rückfrage: Wie entscheidet man, ob diese Beschreibung korrekt ist? Weitere Vermutung: durch Erfahrung. Erneute Rückfrage: Kann man durch Erfahrung über geometrische S?tze entscheiden? Gegenfrage: Wie entscheidet man denn über irgendwelche physikalischen S?tze durch Erfahrung?

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The Origin and Role of Invariance in Classical Kinematics,), ? is the set of real numbers, and s:P ×? → ?. is smooth in its second argument. s is called position function and ? denotes time, so ’ s(p,t)= <α.,…, α.>’ has to be read as ‘point p at time t is in position <α.,α.,α.>’.

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mechanical

,Relations Between the Galilei—Invariant and the Lorentzinvaria?t Theories of Collisions,red as being contained, as an approximation, in the later one. We consider the so-called non-relativistic theory of collisions between particles, due to Wallis, Wren and Huyghens, which is based on the Galileo-Newtonian kinematics, and its successor, the special-relati-vistic collision theory due to

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A Constructive-Axiomatic Approach to Physical Space and Spacetime Geometries of Constant Curvature questions about an axiomatic characterization of physical space, precisely to the question what topological and grouptheoretical assumptions may suffice to deduce the classification of Euclidean and non-Euclidean geometries of constant curvature. About fifty years later a new complex of questions a

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Invariance and Covariance,l laws can essentially be reduced to one concept of invariance that is already part of the concept of kinds of mathematical structures that are used to formulate physical theories. The second aim of the paper is to present the concept of covariance not as any kind of invariance but rather as a conce