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Special Relativity and General Relativity - Comprehensive Physics Course

Pretty Much Physics via YouTube

Overview

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Explore the fundamental concepts of Einstein's theories of relativity through this comprehensive video playlist covering both special and general relativity. Delve into advanced topics including Minkowski diagrams, four-vectors, Lorentz transformations, causality and light cones, and the mathematical frameworks that underpin modern physics. Master the distinction between Lorentz covariance and invariance, understand how momentum, velocity, acceleration, and force behave in relativistic contexts, and examine the Klein-Gordon and Dirac equations in relativistic quantum mechanics. Investigate specialized topics such as Compton scattering, the Nambu-Goto action in string theory, the Planck scale where quantum field theory meets general relativity, and the GZK limit in cosmic ray physics. Learn about primary and secondary constraints in relativistic particle actions, explore the physics beyond the Standard Model including proton decay, and understand how these concepts connect to broader areas of theoretical physics through detailed mathematical derivations and conceptual explanations.

Syllabus

Causality & Light Cones | Special Relativity
What is a Four-Vector? Is a Spinor a Four-Vector? | Special Relativity
Klein-Gordon Equation | Relativistic Quantum Mechanics
Proton Decay | Nuclear Physics Beyond the Standard Model?
Minkowski Diagrams | Special Relativity
Compton Scattering & Compton Wavelength (Derivation)
Lorentz Covariance VS Lorentz Invariance: What's the Difference? | Special Relativity
Dirac Equation | Gamma Matrices
Lorentz Transformations VS Galilean Transformations | Special Relativity
Is d⁴x really Lorentz Invariant? | Physics Riddle
Momentum in Special Relativity | Four-Momentum
Velocity in Special Relativity | Four-Velocity
Acceleration in Special Relativity | Four-Acceleration
What's an Inverse Lorentz Transformations in Index Notation? | Special Relativity
The Nambu-Goto Action | String Theory
Planck Scale | Where QFT and General Relativity Meet | Beyond the Standard Model
Force in Special Relativity | Four-Force
Action of a Relativistic Particle & Primary Constraints | Special Relativity
The GZK Limit & Cosmic Ray Paradox | Special Relativity
Energy in Special Relativity | Massless, Non-Relativistic & Ultra-Relativistic
A Different Action of a Relativistic Particle & Secondary Constraints | Special Relativity
Channel Trailer | Welcome to Pretty Much Physics

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Pretty Much Physics

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