Published April 11, 2024 | Version v1
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Microcanonical Partition Function for Particles using the Physical Pi and the reduced Physical Pi

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Three different partition functions are well-known and described in statistical physics.  Here, the microcanonical partition function for the description of intra-particular interactions and with it for the masses of the particles is presented. In statistical physics three different partition functions are known. These are the microcanonical, the canonical and the macro-canonical partition functions. Thereby due to the properties of quantum mechanics and superposition the partition function described here is of the nature of the microcanonical partition function. The masses and energies of the particles result from the microcanonical partition function. The energy of an elementary particle is proportional to the mass on one hand and to the microcanonical partition function on the other. The constant of proportionality also called the density with respect to the microcanonical partition function is found experimentally to be identical with Rydbergs constant. Rydberg energy is found to be the microcanonical density operator for this ensemble. The relationships found for the proton, the electron and the sigma particle are then generalized for all particles.

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