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Foundations of Quantum Mechanics 1

It is known that QM (as well as QED and QFT) are based on a number of axioms. To understand the meaning of QM, we must attempt to remove the axioms from the foundations of QM. To do this, we need to find the missing pieces that were replaced by the axioms when QM wasContinue reading “Foundations of Quantum Mechanics 1”

Two fundamental difficulties in 20th century physics and possible ways to overcome them beyond the axiomatic paradigm

1. The problem of modeling and physical completeness All mathematical constructions in physics are models based on axioms. This implies a fundamental limitation: any model is constructed by selecting a subset of degrees of freedom and interactions, while neglecting others. In classical physics, this limitation was explicitly acknowledged and controlled through approximation schemes. However, inContinue reading “Two fundamental difficulties in 20th century physics and possible ways to overcome them beyond the axiomatic paradigm”

Moving away from an axiomatic approach in quantum physics. Derivation of the Klein – Gordon – Fock equation from first principles.

Quantum Mechanics (QM), postulated more than 100 years ago, became the most developed and used physical model, which allowed the construction of the Standard Model. However, it should be noted that all the basic equations of QM were postulated and therefore based on a set of axioms (we are talking about the Schrödinger equation, theContinue reading “Moving away from an axiomatic approach in quantum physics. Derivation of the Klein – Gordon – Fock equation from first principles.”

No more reason for a dark matter day.

Dedicated to the Dark Matter Day [another link]. This brief report is based on the article “Gas kinetics of galactic disks explains rotation curves of S-type galaxies without a need for dark matter”, published in the International Journal of Modern Physics A (2022) v.37, 2250171. Here I explain some details and show that there isContinue reading “No more reason for a dark matter day.”

A brief history of the discovery of the foundations of Quantum Mechanics

Understanding of Planck’s constant nature is the key that can open the door to foundations of quantum mechanics. Nature of the Planck constant is a key to build a complete quantum theory outside the framework of the currently dominating axiomatic approach. It is well know, that the Schrödinger, Klein – Gordon – Fock and DiracContinue reading “A brief history of the discovery of the foundations of Quantum Mechanics”

Nature of Quantum Potential

It is widely known that there are at least a dozen different interpretations of Quantum Mechanics. One of them is the interpretation of de Broglie-Bohm. In this formulation, a Quantum Potential (QP) appears, which guides quantum particles in their movement. The shape of the QP causes each particle to move along its own trajectory. However,Continue reading “Nature of Quantum Potential”