Could the de Broglie wave-particle duality intervene in a such problem?

The concepts of "proper energy," "limit energy," and "intrinsic energy" of a particle are related but have distinct meanings in particle physics:

The connection between these concepts can be understood as follows:

• The proper energy (rest energy) is a well-established concept in physics, directly related to the particle's rest mass.
• The intrinsic energy, as proposed in some theoretical models, is suggested to be a fundamental property of particles that contributes to their observable characteristics, including their rest mass.
• The limit energy, while not a standard term, could be understood as a practical or theoretical upper bound on a particle's total energy, which would include its proper energy and any additional kinetic energy.

It's crucial to emphasize that while proper energy is a fundamental concept in particle physics, the ideas of "limit energy" and "intrinsic energy" as described here are not part of the standard model of particle physics. The concept of intrinsic energy, in particular, is part of alternative theoretical frameworks that are not widely accepted in the scientific community. In standard physics, the energy of a particle is typically described in terms of its rest energy and kinetic energy, with the total relativistic energy given by E = γmc², where γ is the Lorentz factor. This formulation allows for particles to gain arbitrarily large amounts of kinetic energy as they approach the speed of light, although they can never reach or exceed it.

Shelvin Datt,

Many thanks for these ample explanations. Best regards.