The short answer is yes.
Scientific education in the West throughout the 20th century was based on the assumption that Schrödinger's PDE is the only unified theory of energy fields (microscopic and macroscopic), which is false.
Schrödinger's PDE is fundamentally incomplete because it lives and operates in 3D geometric space plus real time as an external controller.
Our mother nature lives and functions in a unitary 4D x-t space with time as a dimensionless integer woven into geometric space.
We assume that a serious improvement in scientific teaching and research can be achieved by describing the 4D x-t unit space via a 4D statistical mechanics unit space or any other adequate representation.
An alternativematrix method is already
At hand. But disapearing PDE would be
impovrishing.
This is only an introductory answer aimed initially at clarifying the question and its answer.
The question concerns the search for a unified field theory, if any.
And secondly, to thank our German friend for his help answer :
i-An alternative matrix method is already at hand but he forgot the name of this method!?
ii-QM is not about quantum energy domains but about other domains whose names he also forgot!?
Hoping for clarification, best wishes and good luck.
The Schrödinger Equation is right and our current Mathematics is incomplete.
The differentiation of discontinuous functions exist and is easy, to any order. See it online.
New solutions open to the Schrödinger equation with that, while keeping the old ones.
We live in 6D but a 3D slice is accurate when comoving. Then, mass represents the amount of matter. Even in 3D mass can be transported by massless particles -- even when they are isolated. One photon can recoil an atom.
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