It has been shown that the Lorentz transformations in special relativity can be derived in terms of the principle of relativity and certain properties of space and time such as homogeneity. In this paper, we argue that the free Schrödinger equation in quantum mechanics may also be regarded as a consequence of the homogeneity of space and time and the principle of relativity when assuming linear...

I argue that, on a dispositionalist account of causation and indeed on any other view of causation according to which causation is a real relation, general relativity does not give causal principles a role in explaining phenomena. In doing so, I bring out a surprisingly substantial constraint on adequate views about the explanations and ontology of general relativity, namely the requirement tha...

The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any d + 1 � 2 (pseudo-) Riemannian manifold M with spacelike or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightf...

Special relativity derives directly from the principle of relativity and from Newton's laws of motion with a single undetermined parameter, which is found from Faraday's and Ampère's experimental work and from Maxwell's own introduction of the displacement current to be the -c(-2) term in the Lorentz transformations. The axiom of the constancy of the speed of light is quite unnecessary. The beh...

Elliptic problems appear naturally in physics mainly in two situations: as equations which describe equilibrium (for example, stationary solutions in General Relativity) and as constraints for the evolutions equations (for example, constraint equations in Electromagnetism and General Relativity). In addition, in General Relativity they appear often as gauge conditions for the evolutions equatio...

General relativity is notoriously difficult to interpret. A "return to the mothers" is proposed to better understand the gothic-R theorem of the Schwarzschild metric of general relativity. It is shown that the new finding is already implicit in Einstein's equivalence principle of 1907 and hence in special relativity (with acceleration). The TeLeMaCh theorem, named onomatopoetically after Telema...

An exploration of the special and general theories of relativity in five parts: Section ?? covering notation and conventions, Section ?? being a collection of elegant proofs of the conclusions of the special theory of relativity, Section ?? being notes from Ronald Mallett’s astrophysics lectures on the general theory of relativity, Section ?? supplementing the aforementioned lectures, and Secti...

I introduce the notion of knowledge relativity as a proposed conceptual link between different scientific disciplines. Examples from Informatics and Philosophy, particularly Newell’s knowledge level hypothesis and Popper’s world 3 of knowledge, are used to demonstrate the motivation for making this notion ex-

The central question in research on linguistic relativity, or the Whorfian hypothesis, is whether people who speak different languages think differently. The recent resurgence of research on this question can be attributed, in part, to new insights about the ways in which language might impact thought. We identify seven categories of hypotheses about the possible effects of language on thought ...

A new synthesis based on microscopic classical thinking is attempted in the spirit of the moleculardynamics-simulation (MDS) paradigm. Leibniz's idea that joint scale transformations cancel out is invoked. Boltzmann discovered that a time reversal in the whole universe is undetectable from the inside. As a corollary, objective micro time reversals occur in the interface between a subsystem and ...