We assume that we can find a statistical matrix mechanics equivalent to Schrödinger's PDE in two consecutive steps:
i-Transform the Schrödinger PDE describing the wave function Ψ into its square describing Ψ^2=Ψ. Ψ*.
Strikingly, the Schrödinger PDE describing Ψ^2, when supplemented by the natural laws of vacuum dynamics, is more complete than the classical Schrödinger PDE itself.
ii-Use the transition-B-matrix statistical chains to find the required equivalence for the PDE of Ψ^2 (in the same way as that for the PDE of thermal diffusion) and therefore its solution for different internal (spontaneous) potentials ) or external.
Note that the well-known Heisenberg matrix mechanics is neither statistical nor complete.
It is easy to show that unified field theory belongs to the square of the Schrödinger wave equation rather than to the classical Schrödinger wave equation itself.
You first transform the Schrödinger PDE describing the wave function Ψ into another describing its square Ψ^2=Ψ. Ψ*. Strikingly, the modified Schrödinger PDE describing Ψ^2, when supplemented by the natural laws of vacuum dynamics, is more complete than the classical Schrödinger PDE itself.
The reformulated Schrödinger partial differential equation lives and operates in the 4D unit space and therefore belongs to the chains of the B matrix which is a product of the statistical method called Cairo techniques.
You can take a particular approach to show that unified field theory belongs to the square of the Schrödinger wave equation rather than the classical Schrödinger wave equation itself.
This particular approach focuses on applying B-matrix chain techniques to answer three fundamental questions that continually challenge the classic Schrödinger equation:
A-Can we replace Schrödinger's partial differential equation with a kind of statistical matrix mechanics capable of describing the formation and explosion of the Big Bang?
B-Can we deduce an expression for the reverberation time in audio rooms?
C-Is it possible to calculate a finite numerical integration via matrix mechanics?
Mathematicians and theoretical physicists with the greatest skills in the classical Schrödinger equation cannot answer these particular questions even in their dreams.
Finally, we present a correct and exact answer to the three questions A, B and C [1] proving that the unification of field theory is the square of the Schrödinger wave equation sublimated by the rules of vacuum dynamics .
1-Is unified field theory Schrödinger's wave equation or its square? A unitary spatio-temporal vision, ResearchGate, IJISRT journal, July 2024.
Dont know whats alluded to here.
In q. Chemistry there is just 1 specific matrix
Dirac theory uses an H^2, as well as H. Schrodinger
Just an H.
Science leaves the era of mathematics and enters the era of matrix mechanics and the turning point is the discovery of numerical statistical theory called Cairo techniques and its transition matrices eligible to solve almost all problems of classical physics and of quantum mechanics.
No more partial differential equations, no more numerical integration, no more FDM techniques. . etc.
Statistical matrix mechanics is capable of solving all of the above problems and additionally predicting unknown universal physical rules.
Note that the Heisenberg matrix and the Dirac matrix are neither physical nor statistical and incomplete.
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