Reflections on Modern Physics.
This blog was created by Anton Lipovka to discuss current problems in theoretical physics, astrophysics, cosmology, general relativity, etc.
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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 was…
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, in…
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, the…
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Reflections on Modern Physics 