Abstract
The mass spectrum of elementary particles, in the form of systematically increasing
mass values, is obtained from the fractal mechanism of leptosynthesis and baryosynthesis. A
theoretical justification for the mass spectrum of elementary particles is provided. The law of
baryogenesis serves as the generator of the mass spectrum of elementary particles. The law of
baryogenesis implies mass values for both known and yet undiscovered elementary particles. The
generated mass spectrum is represented by multiplets of three mass values each. The mass difference
within triplets is very small and less than the mass of an electron. The mass values of elementary
particles in the mass spectrum adhere to a strict law, forming a systematic increasing sequence. The
regularity in the dynamics of mass values growth of elementary particles is close to the law of
increasing numbers in the Mersenne sequence. From the mass spectrum of elementary particles, it
follows that the predicted number of undiscovered elementary particles far exceeds the number of
known particles. In the mass range from the electron to the deuteron, 56 elementary particles remain
undiscovered. Expected mass values are provided for new elementary particles that are yet to be
discovered in experiments.