The foundation of deductive theoretical physics
The below document 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.
Theories of classical physics and quantum mechanics can essentially be summarized under the umbrella term “kinematics.” Quantum field theories and theories of gravity that include concepts such as heavy or inertial mass and acceleration cannot be subsumed under this umbrella term. A key common denominator of both groups of theories is the concept of mechanical (kinetic and potential) energy. The proposed concept envisions a distinct type of energy for quantum-dynamic particles and their energetic properties. The mathematical setting is that of a suitably defined Hilbert space, which allows for complementary dynamic quantum fluctuations corresponding to respective statistically relevant quantum-mechanical system states. Using the terminology of quantum mechanics, one could also refer to these as wave-mechanical proper vibrations.
According to Kant's „Theory of Natural Science“ in order to establish a meta-physical 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 merely empirical concept of motion "reality" is conceived as objective thinghood (Sachheit). Here one speaks of „motion as an accient (Akzidens) of matter“, thus not a mere act (Actus) of the productive imagination, i.e., motion as description, the describing of a space (moreover, where time, specifically as quantity, is not taken into consideration at all", (PlP) p. 297.