Relativistic Mass Is a Synonym for Kolmogoroff’s Probability Set
Georgi Stankov, May 30, 2017
By proving that mass is an energy relationship, I have shown that Einstein’s equation postulating the equivalence between energy and mass is a tautological statement. This equivalence plays a central role in the theory of relativity and in physics today.
While in classical mechanics mass is defined in a vicious circle as the property of the gravitational objects to resist acceleration, in the theory of relativity mass is regarded as being equivalent to matter, while the term energy is restricted to photon space-time. This is the epistemological background of Einstein’s equation:
E=mc2 , or m = E/c2 = Ex / LRCp.
According to the principle of circular argument, the energy of any object of matter Ex is compared to the energy of the reference system, in this case, to the level of photon space-time LRCp, and is given as an energy relationship m (as mass).
This relationship can be regarded statically or with respect to the own motion of the object. In the first case, this quantity is defined as rest mass m0, in the second case, as relativistic mass mr.
Within the theory of relativity, the two quantities are expressed by Lorentz transformations:
E =Ekin + m0c2 = m0c2 / √(1–v2/c2 ) = γm0c2 = mrc2
This is the equation of the total relativistic energy E, which is given as the sum of the kinetic energy Ekin and the rest energy E0 = m0c2. We use this equation because it includes the relationship between the relativistic mass and the rest mass: mr = γm0.
The above equation is the relativistic expression of Einstein’s equation E = mc2. It reveals that the quotient of rest mass m0 and relativistic mass mr is another pleonastic presentation of the physical probability set within mathematics (see also previous publication):
m0/mr = γ-1 = 0≤SP(A)≤1
We encounter the principle of circular argument again – the theory of relativity can only define the quantity “relativistic mass of an object“ in relation to “the mass of the same object at rest“. Both quantities are abstract subsets of space-time that are built within mathematics. So is their quotient, the Lorentz factor γ-1 – it represents the continuum, respectively, the probability set.
When we compare the rest mass with itself, we obtain the certain event:
m0/m0 = m0= SP(A) = 1
Rest mass and relativistic mass are thus abstract quantities of space-time (space-time relationships) that are built within mathematical formalism.
Rest mass is the abstract intrinsic reference system of the observed relativistic mass (principle of circular argument). It symbolizes the certain event m0 = 1.
Relativistic mass gives the real space-time of any system in motion. As all systems are in motion, we can only observe relativistic masses. The relativistic mass is defined in relation to rest mass (principle of circular argument).
As mass is a space-time relationship, any relativistic mass of a system is greater than its rest mass: mr > m0. Their quotient represents the physical probability set:
m0/mr = γ-1 = 0≤SP(A)≤1
This equation is derived by the principle of circular argument and includes the entire cognitive background contained within the two basic terms of the theory of relativity, rest mass and relativistic mass, which has not been realized either by Einstein or any other physicist after him.
The theory of relativity could, indeed, be very simple once the right axiomatic approach is employed – the new Axiomatics of the Universal Law.
“ Everything should be made as simple as possible…. but not simplistic. “ Albert Einstein