The proposed Unified Field Theory (UFT)
is a comprehensive theoretical framework that aims to unify physical models
across diverse physical domains, thereby eliminating the decoupling and
disparate scaling that characterizes current models based on their respective
levels of granularity. There is a newly proposed (non-mechanical) dynamic
energy type; it complements the current mechanical energy type in such a way
that it supports Planck’s conception of „dynamical type of laws“, (PlM),
in alignment with Bohm’s conception of „wholeness and implicate and explicate
order in physical laws“, (BoD1). It enables dynamic and statistical types of
physical laws, where the least action principle applies to mechanical
processes.
The mathematical modelling framework to
define the new dynamic energy type is predicated on the Hilbert-Krein space
theory and the concept of a Krein space intrinsic self-adjoint (Hamiltonian)
potential operator. Accordingly, the overall Hamiltonian (total energy) operator
becomes the sum of two Hamiltionian operators, the mechanical self-adjoint (Hamiltonian)
operator and the (new) dynamic self-adjoint (Hamiltonian) operator. This ensures
independent „symmetries“ resp. „invariances“, e.g., it overcomes the „only hidden
symmetry“ of the Coulomb problem, e.g. (RoH) p. 165. The physical modeling
framework is governed by a deductive structure that is defined according to a
scheme that is appropriately delineated quanta sequences numbers.
December 2022 Feb. 2026 update, pp. 1, 7, 35, 86-88
According to Kant's „Theory of Natural Science“ in order to
establish a metaphysical foundations of physics it requires an a priori
conception of matter, i.e., its „form“, its necessary and universal
determinations and laws that govern (predictively describe) its behavior, (PlP)
p. 29. The a priori quanta system scheme may be interpreted as such a
mathematical metaphysical foundation.