Energy Induced by Interference of Particles: Unified Classical and Quantum Fields

Physics – General Physics

Scientific paper

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6th version (final, 48 pages); the extension to Standard Model is in the next paper

Scientific paper

It is known that the pure additive or subtractive interference of two waves does induce the positive or negative cross-correlation energy that would contradict the conservation of energy. In quantum mechanics, the Dirac theory gets over the difficulty associated with the cross-correlation energy by assuming that interference between two different particles of matter never occurs. In the present study, the interference-induced energy, which is the "non-existing" energy from the point of view of both the quantum mechanics and particle field theory, is not ignored. For both the classical and quantum fields, the two-times increase of the wave amplitude does increase the wave energy in four times, and the wave with zero amplitude has zero energy. The problem of nonconservation of the energy is overcame by taking into account the fact that the creation of conditions for the pure additive or subtractive interference requires "additional" energy. The Hamiltonians describing the cross-correlation energy in the basic classical and quantum fields are derived. The conditions of pure constructive or destructive interference are found. The influence of the cross-correlation energy on the basic physical properties of bosonic and fermionic fields is demonstrated. The energy, mass, charge, and momentum of the interfering fields are calculated. It is shown that the gradient of the cross-correlation energy induces attractive or repulsive forces. These forces could be attributed to all classical and quantum fields, for instance, to the gravitational and Coulomb fields. Finally, the model shows a key role of the cross-correlation energy in several basic physical phenomena, such as Bose-Einstein condensation, super-radiation, superfluidity, superconductivity, and supermagnetism.

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