Physics of Non-Inertial Reference Frames, conclusions and consequences

• Published in: Journal of physics. Conference series Vol. 3017; no. 1; pp. 12020 - 12024
• Main Authors: Kamalov, T F, Kamalov, Yu T
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.06.2025
• Subjects: Differential equations; Inertial reference systems; Physics; Quantum mechanics; Quantum theory; Random variables; Statistical analysis; Trajectories
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/3017/1/012020

Refusal to use inertial reference frames in favor of non-inertial reference frames means significant changes in the axiomatics of both classical and quantum physics. Taking into account the influences of random small forces and fields makes the equations of classical physics, expanding, subject not only to deterministic laws, but also expands the equations of classical physics with additional variables that have an indeterministic, probabilistic behavior. Extending the scope of consideration of physical systems to non-inertial frames of reference leads to the already well-known new field of study known as quantum correction of Newton’s laws of motion. In this case, not only stable deterministic trajectories are considered, but also unstable, random ones, which usually constitute the measurement error in experiments in cases of applying classical physics and the probability distribution of quantum mechanics. Such a quantum correction can extend the action of Newton’s laws to the microworld by abandoning the basic idea of classical physics that physical systems should be described by differential equations of no higher than second order in favor of supplementing them with higher derivative variables that describe unstable random trajectories.