The concept of relativistic length is introduced and discussed. The definition is based on a measuring procedure that directly uses a clock and light signals (analogous to the radar method), and it has as a consequence the increase of the longitudinal dimensions of fast-moving objects. Furthermore, the concept of relativistic length introduced here is in logical accord with the notion of distance utilized in relativistic electrodynamics.

The relativistic transformation equations for the pressure, volume, energy, and momentum of a gas in a closed container are discussed. Considerations are given in support of pressure noninvariance, volume dilatation, and the fact that the energy and momentum of a gas form a four-vector. It is shown that the relativistic transformation formula for temperature resulting from the Lorentz invariance requirement of the equation of state of an ideal gas coincides with the Ott formula.

Analyzing the content of the parable of the Grand Inquisitor from Fyodor M. Dostoevsky’s novel The Brothers Karamazov allows us to identify the root ideas and consequences of a program for reorgani...