Classical to Quantum | A critique of Einstein's Simultaneity (1905 paper Section 1.1) | Wild Egg

We examine critically Einstein's ground breaking 1905 paper: "On the Electrodynamics of Moving Bodies" in detail in this series. In this video we try to understand Part I: Kinematical Part, the first section 1. Definition of Simultaneity, and raise some important questions about the meaning, and indeed to logical clarity, of this foundational piece of science. We will be shortly advocating a different interpretation of Special Relativity, which in my view is more mathematically clear and elegant. It also touches base with earlier thinking of Poincare. But before we get to that, we must first try to understand Einstein's original thinking in this direction. This is the fifth video of the series "Classical to Quantum" available to Members of the Wild Egg Maths channel and also to Patreon supporters. Here is the Playlist in the Wild Egg Maths channel for this series:    • Playlist   In this series, which is part of the Explore Research Level Maths program, we investigate how the relations between classical and quantum physics manifest themselves in pure mathematics. Along the way we will learn about the history of Quantum Mechanics (QM), Einstein's Special Relativity, representation theory of Lie groups and Lie algebras, q-series, quantization, spherical harmonics, quantum groups, non-commutative geometry, C-* algebras, homogenous spaces, and touch base with the Dynamics on Graphs series (ADE graphs etc), the Q-series series, all at Wild Egg Maths, and the series on Diffusion Symmetry at Insights into Mathematics. We'll also have a look at some of the main contenders for a decent physics theory of QM, including of course the Copenhagen school of Niels Bohr and Werner Heisenberg, Einstein's objections and Bell's famous inequality, and also Everett's Many Worlds theory, and de Broglie and Bohm/s pilot wave theory, along with other lesser known theories. Is QM really essentially incomprehensible? Can pure mathematics shed any light on the problem? Some work of the author on the relation between quantization and dequantization, touching on geometric quantization, *-products and associated harmonic analysis topics in Lie theory will also figure. Video Contents: 0:02 – Introduction: Setting the Stage 6:14 – Simultaneity and Clock Readings 8:49 – Challenges of Defining Time Using Clocks 15:24 – Synchronizing Distant Clocks 19:00 – Mathematical Formalism vs. Physical Assumptions 23:01 – Observer-Dependent Velocity and Measurement Challenges 25:00 – Would This Paper Be Accepted Today?