Some physicists and mathematicians interpret the principle of least action to mean that nature is lazy, but the correct interpretation is that nature is fast.
If we follow this interpretation, it is easy to show that nature follows the fastest possible response, as dt=1/2 dx^2/Alpha in heat diffusion, which is the fastest path in x-t unit space.
If you don't understand the principle of least action, ask yourself if I'm right, because others don't understand this theory either.
It is generally accepted that the path integral and Feynman diagram methods are imperative.
In addition this important general techniques of mathematical physics have many applications other than quantum field theories and they are true.
Assuming that Feynman's lifeless schematic methods in R^4 are fundamentally wrong, then why are they generally accepted?
It is now the science deniers who decide the scientific questions and the answers!
Note that classical mathematical spaces R^4 such as Minkowski, Hilbert, Rieman. . . etc. are all incomplete because they do not satisfy the condition of mutual orthogonality of space and time, i.e. x, y, z, t.
This 4D unit space called Cairo techniques and B-matrix statistical chains can provide statistical proof of the principle of least action in the form of energy density entanglement between the system and its walls, the system and its source term and between the elements of the system. themselves [1].
1- A key to 4D physics and mathematics, IJISRT journal, January 2024.
One of the silly mistakes of current incomplete mathematics is to relate time to entropy.
Neither time nor entropy can be well defined in the incomplete mathematical space R^4 (3D+t as external controller).
The macroscopic physical definition of entropy S emerges from the second universal law of thermodynamics,
dS.GE. 0, like,
dS.GE. Q/T.
The only breakthrough came in 1866 when C. Maxwell related the microscopic entropy of molecular structure s to the macroscopic entropy S through his well-known formula:
s = kB ln W.
Despite the objection of A. Einstein to the derivation of s by Boltzmann because it is purely statistical (nothing about dynamic forces), it remains rigorously valid and Einstein's objection remains fictitious.
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