Laplace wondered about the minimal choice of initial variables and parameters
corresponding to a well-posed initial value problem. Discussions of Laplace's problem in the …

Against Reducing Newtonian Mass to Kinematical Quantities Page 1 Against Reducing
Newtonian Mass to Kinematical Quantities Niels CM Martens Magdalen College – Oxford …

Because the equivalence principle forbids local mass density, we cannot formulate general
relativistic mass as an integral over mass density as in Newtonian gravity. This century-old …

This thesis concerns the metaphysics of scale. It investigates the implications of a physical
determinable being dimensionful. In particular, it considers the case study of mass, as it …

A mass curves space positively. It also senses (is affected by) curvature, created by other
masses, and moves accordingly. But how specifically an elementary particle gravitates, ie …

The scope of this book is to put on paper many things which, although basic, are not easily
found in a single text, and are not always trivial to understand and manage. Actually, this …

The paradigm of Laplacean determinism combines three regulative principles: determinism,
predictability, and the explanatory adequacy of universal laws together with purely local …

The theory of relativity is tackled directly in this book, dispensing with the need to establish
the insufficiency of Newtonian mechanics. This book takes advantage from the start of the …

We formulate the equivalence principle in Newtonian mechanics and General Relativity. We
distinguish seven formulations of the equivalence principle, but not all are equivalent. We …

In the previous chapter, a number of paradoxes concerning time were brought out—deeper
problems may yet exist! Here we take up the study of time in Newtonian physics. In the …