Physicists use the framework of 4D space-time in modern physics, specifically in theories like Einstein's theory of general relativity, because it provides a powerful and mathematically consistent way to describe the behavior of matter, energy, and gravity. The use of 4D space-time allows physicists to unify the concepts of space and time into a single geometric framework.
Here are a few key reasons why physicists use 4D space-time:
Geometric unification: By combining space and time into a four-dimensional framework, physicists can describe the geometry of the universe using a unified mathematical structure. This allows for a more elegant and comprehensive understanding of the interactions between matter, energy, and gravity.
Relativistic invariance: 4D space-time provides a framework that is consistent with the principles of special and general relativity. The laws of physics should be the same for all observers, regardless of their relative motion or gravitational fields. The 4D space-time formalism ensures that the laws of physics maintain their form under Lorentz transformations, which are mathematical transformations that account for relativistic effects.
Experimental confirmation: The predictions of Einstein's theory of general relativity, which is based on the 4D space-time framework, have been confirmed by numerous experimental tests and observations. For example, the bending of light around massive objects, the time dilation effects observed in high-speed particles, and the gravitational waves detected from merging black holes and neutron stars all support the validity of 4D space-time physics.
While your proposed formula [Any physics x complex time unit circle e^(I w t)] minus any physics might have interesting mathematical properties, it does not capture the full richness and physical phenomena described by 4D space-time physics. It's important to note that the 4D space-time framework has been extensively tested and validated through empirical evidence and is widely accepted as an accurate description of the universe at macroscopic scales.