We study relativity theory as a theory in the sense of mathematical logic. We use first-order logic (FOL) as a framework to do so. We aim at an “analysis of the logical structure of relativity theories”. First we build up (the kinematics of) special relativity in FOL, then analyze it, and then we experiment with generalizations in the direction of general relativity. The present paper gives sam...

one of the chief principles of philosophical teachings is to explain the position of human in the world; the problem has been followed by different views as that of friedrich wilhelm nietzsche, the theory of superman. opposing preceded approaches, nietzsche sought not only to redefine this position but also to react appropriately considering the crises caused by modernity. that is how this theo...

General relativity exhibits a unique feature not represented in standard examples of chaotic systems; it is a spacetime diffeomorphism invariant theory. Thus many characterizations of chaos do not work. It is therefore necessary to develop a definition of chaos suitable for application to general relativity. This presentation will present results towards this goal.

Democracy has been defined in various ways by different people including government of the people, by the people and for the people, government with the consent of the governed, and a form of regime that derives from popular sovereignty in which ordinary citizens are endowed with the right and ability to govern themselves. It is my contention that concepts may have real, nominal and operational...

Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4-manifold M from certain solutions of 2-dimensional BF theory on any framed surface Σ embedded in M . In these solutions the cotetrad field e (and thus the metric) vanishes outside a neighborhood of Σ, while inside this neighborhood the connection A and the field E = e∧e sa...

István Németi, together with Hajnal Andréka founded and lead the Hungarian logic and relativity school. They havemade numerous significant contributions both in logic and in relativity theory and in their interconnections. To celebrate their contributions, on the occasion of István’s 70th birthday, a series of conferences focusing on logic and relativity theory, and beyond, was inaugurated by T...

We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory at low energies. This is accomplished by a nonlinear modification of the action of the Lorentz group on momentum space, generated by adding a dilatation to e...

We analyze the geometric foundations of classical YangMills theory by studying the relationships between internal relativity, locality, global/local invariance, and background independence. We argue that internal relativity and background independence are the two independent defining principles of Yang-Mills theory. We show that local gauge invariance – heuristically implemented by means of the...

We present a new approach to quantum general relativity based on the idea of Feynman to treat the graviton in Einstein's theory as a point particle field subject to quantum fluctuations just as any such field is in the well-known Standard Model of the electroweak and strong interactions. We show that, by using resummation techniques based on the extension of the methods of Yennie, Frautschi and...

Abstruct " Electromagnetic mass " where gravitational mass and other physical quantities originate from the electromagnetic field alone has a century long distinguished history. In the introductory chapter we have divided this history into three broad categories – classical, quantum mechanical and general relativistic. Each of the categories has been described at a length to get the detailed pi...