We describe here the coherent formulation of electromagnetism in non-relativistic quantum-mechanical many-body theory interacting charged particles. use mathematical frame field and its quantization spirit quantum electrodynamics (QED). This is necessary because a manifold misinterpretations emerged especially regarding magnetic gauge invariance. The situation was determined by historical devel...

Milgrom’s Modified Newtonian dynamics (MOND) provides an efficient way to summarize phenomenology of galaxies which does not lean on the notion of dark matter; it has great predictive power. Here I briefly review MOND as well as its implementation as a nonrelativistic modified gravity theory, AQUAL. Gravitational lensing and cosmology call for a relativistic gravity theory different from genera...

A modified version of the bilocal particle is presented in terms of complex space time. Unusual constraint structure of the model is studied, and a new concept of the physical equivalence is proposed in accordance with Dirac’s conjecture. It is found that in the quantum theory the physical state conditions are compatible with existence of eigenstates of momentum only when the dimension of space...

In a framework of a stationary universe, time is deened as a local and quantum-mechanical notion in the sense that it is deened for each local and quantum-mechanical system consisting of a nite number of particles. In this context, the total universe consisting of an innnite number of particles has no time associated, and quantum mechanics and general theory of relativity are united consistentl...

The phenomenology of quantum systems in curved space-times is among the most fascinating fields of physics, allowing –often at the gedankenexperiment level– constraints on tentative theories of quantum gravity. Determining the dynamics of fields in curved backgrounds remains however a complicated task because of the highly intricate partial differential equations involved, especially when the s...

Generation of exactly solvable quantum systems in non-relativistic quantum mechanics from an already analytically solved quantum system is presented using extended transformation method. The bound state quantized energy spectra and the corresponding wavefunctions of the generated potentials are obtained. It is also shown that eigenfunctions of the new quantum systems can easily be normalized. c...

I offer some historical comments about the origins of Feynman’s path integral approach, as an alternative approach to standard quantum mechanics. Looking at the interaction between Einstein and Feynman, which was mediated by Feynman’s thesis supervisor John Wheeler, it is argued that, contrary to what one might expect, the significance of the interaction between Einstein and Feynman pertained t...

In a framework of a stationary universe, time is defined as a local and quantum-mechanical notion in the sense that it is defined for each local and quantummechanical system consisting of a finite number of particles. In this context, the total universe consisting of an infinite number of particles has no time associated, and quantum mechanics and general theory of relativity are united consist...

The form factor of hadronic systems in various forms of relativistic quantum mechanics is considered. Motivated by the agreement of the nucleon “point-form” results with experiment, results for a toy model corresponding to the simplest Feynman diagram are first presented. These ones include the results for this diagram, which plays the role of an experiment, for the front-form and instant-form ...