Quantum work for deriving and explaining the Lorentz transformations

The Lorentz transformations of mass and time are derived and explained within the framework of quantum-process thermodynamics. To this end, various notions of quantum work are employed to describe the behavior of an accelerated particle, such as an electron, which consists of a core wave and a guiding wave. We find that, during acceleration, a particle changes not only its velocity but also its internal structure and energies. While the mass and frequency of its guiding wave increase, the mass and frequency of its core wave decrease. As the wavelength of the core wave increases, the rate at which an accelerated atomic clock accumulates time is reduced. This is a dynamical process, rather than an observational effect formulated in terms of relations between inertial frames. We present a new equation for a form of energy that provides a unified description of particle motion and electromagnetic energy. We compare our results with special relativity and discuss a range of microscopic and macroscopic experiments. On this basis, quantum-process thermodynamics emerges as a promising framework for exploring deterministic aspects of quantum dynamics.