ABSTRACT
Einstein (Section ) accepted tacitly the following hypothesis and liftrd it to the rank of (undoubtfull) postulate:
Hypothesis 674 Time is not unique There exist several different times.
In view of Hypothesis 674, let us assume, conversely to Axiom 47 (Subsection 4.2: ”Characterization of time”), that Lorentz transformations and/or the transformations established herein prove the existence of two different, linearly independent, times (time variables) denoted by t and by τ . Then their values can increase with different variable speeds. Let the speed of the increase of τ relative to t be a function f(.) : R → R+ of t, which expresses a possibility of its time-varying speed:
dτ
dt = f(t) = constant. (20.1)
This is a mathematical expression of Hypothesis 674. In order to disprove Hypothesis 674, i.e. the equation (20.1), we should
prove the following equation:
dτ
dt = f(t) ≡ η = constant. and phdimη = −, i.e. η [−]. (20.2)
The first equation (20.2) will be called the basic equation.
