25 citations · 84 across the 10 of their papers we have counts for
10 papers
Complexity in the interdefinability of timelike, lightlike and spacelike relatedness of Minkowski spacetime
Hajnal Andréka, Judit X. Madarász, István Németi +1
Interdefinability of timelike, lightlike and spacelike relatedness of Minkowski spacetime is investigated in detail in the paper, with the aim of finding the simplest definitions.…
On the networks of large embeddings
Tuğba Aslan, Mohamed Khaled, Gergely Székely
We define a special network that exhibits the large embeddings in any class of similar algebras. With the aid of this network, we introduce a notion of distance that conceivably co…
Comparing Classical and Relativistic Kinematics in First-Order Logic
Koen Lefever, Gergely Székely
The aim of this paper is to present a new logic-based understanding of the connection between classical kinematics and relativistic kinematics. We show that the axioms of special r…
On some Symmetry Axioms in Relativity Theories
Gergely Székely
In this paper we review two symmetry axioms of special relativity and their connections to each other together with their role in some famous predictions of relativity theory, such…
Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
Judit X. Madarász, Mike Stannett, Gergely Székely
It has recently been shown within a formal axiomatic framework using a definition of four-momentum based on the Stückelberg-Feynman-Sudarshan-Recami "switching principle" that Eins…
A note on "Einstein's special relativity beyond the speed of light by James M. Hill and Barry J. Cox"
Hajnal Andréka, Judit X. Madarász, István Németi +1
We show that the transformations J. M. Hill and B. J. Cox introduce between inertial observers moving faster than light with respect to each other are consistent with Einstein's pr…
The existence of superluminal particles is consistent with the kinematics of Einstein's special theory of relativity
Gergely Székely
Within an axiomatic framework of kinematics, we prove that the existence of faster than light particles is logically independent of Einstein's special theory of relativity. Consequ…
On Logical Analysis of Relativity Theories
Hajnal Andréka, István Németi, Judit X. Madarász +1
The aim of this paper is to give an introduction to our axiomatic logical analysis of relativity theories.
On Why-Questions in Physics
Gergely Székely
The aim of this paper is to introduce a mathematical logic based approach investigating why-type questions in physics.
First-Order Logic Investigation of Relativity Theory with an Emphasis on Accelerated Observers
Gergely Székely
This thesis is mainly about extensions of the first-order logic axiomatization of special relativity introduced by Andréka, Madarász and Németi. These extensions include extension…