The categorical relativity is a groupoid category of massive bodies in mutual motions. The relative velocity is defined to be the basis-free and coordinate-free binary morphism. In categorical relativity there is no need to distinguish separately the constant relative velocities (special relativity) from the variable accelerated velocities, hence the categorical relativity goes beyond boundary ...

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...

Barbour, Foster and Ó Murchadha have recently developed a new framework, called here the 3-space approach, for the formulation of classical bosonic dynamics. Neither time nor a locally Minkowskian structure of spacetime are presupposed. Both arise as emergent features of the world from geodesic-type dynamics on a space of 3-dimensional metric–matter configurations. In fact gravity, the universa...

The value of the SU(3) coupling constant is estimated in the framework of the scale-relativistic minimal standard model. It is evolved, thanks to its renormalization group equation, from the GUT scale (which is identified with the Planck mass in scale relativity) where its value is conjectured to be 1/4π, to the Z boson scale, where its value is predicted to be 0.115. We also discuss the emerge...

The existence of a maximal acceleration for deterministic finsle-rian models at the Planck scale is argued. Possible phenomenological relativity groups O(1, 6), O(1, 7) and O(2, 6) are introduced from the perspective of finslerian deterministic models. The effect of maximal acceleration delaying the speed of light is studied. Finally, a mechanism generating maximal acceleration in connection wi...