Related articles are:
Preprint Inverting conceptual reference frames
Preprint From Galileo’s simple case to universal 4/3 scaling
Dear Robert,
Quote: "The conceptual reference frame of one force, two distances has been inverted to no force and two distances, one for each of two reference frames. And there is no dark energy."
There is such an inverted concept that has been studied. Analyzed in Section "The Coulomb force" in this article, with all formal references provided, including links to those available on the Internet:
Article Gravitation, Quantum Mechanics and the Least Action Electrom...
Best Regards, André
Yes, there are many examples in physics where one can switch from a scaling to a dimensional conceptual reference frame for solving a problem. In fact, such a switch can often simplify the problem and make it easier to solve.
A common example is the study of fluid dynamics. In many fluid dynamics problems, it is useful to work with dimensionless quantities, such as the Reynolds number, which describes the ratio of inertial forces to viscous forces in a fluid flow. By using dimensionless quantities, one can simplify the governing equations and make them more amenable to analysis.
However, there are situations where working with dimensional quantities may be more appropriate. For example, in problems involving the motion of objects in a gravitational field, it is often necessary to work with dimensional quantities such as mass, length, and time. Similarly, in problems involving electromagnetic fields, it may be necessary to work with dimensional quantities such as charge and electric potential.
The choice of whether to work with scaling or dimensional quantities depends on the specific problem at hand and the physical phenomena involved. In general, it is important to choose the appropriate reference frame that best captures the relevant physics and simplifies the problem.
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