Quantum Physics | Ch.1: Classical Physics on Trial

Quantum Physics: Principles, Structures and Applications by R. M. Montgomery12—is suited for a YouTube series.The book is explicitly written around the exact philosophy you mentioned: its preface promises that "nothing falls from the sky" and that every equation is derived step-by-step from stated premises without skipping algebraic steps3. Across its 27 chapters organized into 6 parts4more_horiz, it builds quantum physics from foundational principles up to quantum field theory and quantum computing6more_horiz.How We Can Build This SeriesFor a YouTube channel, we can combine two approaches:Explainer Video Overviews: We can generate narrated visual Video Overviews for each chapter. These produce animated slides that walk through the core narrative, conceptual foundations, and key formulas.Exhaustive Mathematical Derivations & Scripts: To ensure no algebraic steps are skipped on camera, I can complement each video overview with complete, step-by-step written derivations and video scripts in chat or as dedicated reference reports.Starting Point: Chapter 1 OutlineWe can tackle the book chapter by chapter, starting with Chapter 1: The Intellectual and Experimental Origins of Quantum Physics710:1.1–1.3 Classical Physics & The Ultraviolet Catastrophe: Derive the density of electromagnetic modes in a cavity and show line-by-line how equipartition leads to the Rayleigh–Jeans divergence7more_horiz.1.4–1.6 Planck's Hypothesis & Light Quanta: Sum the geometric series for discrete Boltzmann energies to derive Planck's radiation law and explain Einstein's photoelectric equation7more_horiz.1.7–1.10 Atomic Spectra, the Bohr Atom & Matter Waves: Show why classical orbits collapse, derive Bohr's energy levels $E_n = -\frac{13.6\text{ eV}}{n^2}$ and the Rydberg formula, and demonstrate how de Broglie standing waves close the orbit7more_horiz.