Revisiting Quantum Foundations: Deriving the Klein-Gordon-Fock Equation Without Axiomatic Postulates*
Presentation Type
Poster Presentation
Mentor/Supervising Professor Name
Andrianarijaona, Vola
Abstract (Description of Research)
This paper presents a derivation of the Klein-Gordon-Fock equation from first principles. The proposed method eliminates the need to axiomatically postulate wave functions or equation coefficients. Instead, the derivation is performed on an adiabatically variable manifold, locally described by the Friedman-Robertson-Walker metric, incorporating complete electrodynamics. In this framework, the transverse electromagnetic field quantizes due to adiabatic changes in the metric tensor, with Planck's constant serving as its adiabatic invariant. Consequently, wave functions naturally emerge as eigenfunctions of a Sturm-Liouville problem used to expand the electromagnetic field.
Revisiting Quantum Foundations: Deriving the Klein-Gordon-Fock Equation Without Axiomatic Postulates*
This paper presents a derivation of the Klein-Gordon-Fock equation from first principles. The proposed method eliminates the need to axiomatically postulate wave functions or equation coefficients. Instead, the derivation is performed on an adiabatically variable manifold, locally described by the Friedman-Robertson-Walker metric, incorporating complete electrodynamics. In this framework, the transverse electromagnetic field quantizes due to adiabatic changes in the metric tensor, with Planck's constant serving as its adiabatic invariant. Consequently, wave functions naturally emerge as eigenfunctions of a Sturm-Liouville problem used to expand the electromagnetic field.