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100 Years of Fundamental Theoretical Physics in the Palm of Your Hand [2020]

1
Introduction—An Overview and a Road Map
2
Sorting Out Selective Measurements: QM Re-invents Complex Numbers, Matrices, Operators and Inner-Product Spaces
3
Interference and Measurements
4
Transformation Theory and Emergence of <inline-formula><alternatives><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbar $$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> in the Formalism
5
Quantum Dynamics, Construction of Hamiltonians and Decay of Quantum Systems
6
Stability of the H-Atom in Configuration Space
7
Do Atomic Electrons Fall to the Center of Multi-electron Atoms?
8
How Quantum Mechanics Forces Matter in Bulk to Occupy Such a Large Volume and Prevents It from Collapsing Around Us
9
Schrödinger’s Cat and Quantum Decoherence
10
Quantum Teleportation
11
Lorentz Frames and Minkowski Spacetime
12
The Celebrated Lorentz Group: Underlying Transformations Derived
13
Physics in Minkowski Spacetime: Applications
14
First Unified Field Theory: Maxwell’s Equations and Lorentz Covariance
15
QM Meets Relativity and Birth of QFT: Fields and Particles
16
The Five Types of Fields You Meet in Quantum Field Theory
17
Gauge Fields
18
Particles & Symmetries
19
Strange, Charm, Bottom and the Top Quarks: How They Came About?
20
C, P, CP and T Violations in Weak Interactions
21
Lagrangians: Varying Action Integrals in QFT
22
Quantum Dynamics: The Functional Differential Formalism of QFT
23
Quantization of Gauge Theories and Constraints: Functional Differential Formalism
24
Functional (Path) Integral Formalism as a Functional Fourier Transform of the Functional Differential One
25
Transition Amplitudes and the Meaning of Virtual Particles
26
Radiative Corrections
27
Anomalous Magnetic Moment of the Electron and the Lamb Shift
28
How the Fine-Structure Changes from <inline-formula><alternatives><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\simeq } 1/137$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> to <inline-formula><alternatives><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\simeq }1/128$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> at High Energies<index-term><term>Fine-structure at high energies</term></index-term>
29
Bell’s Test, Entanglement and the Strict Predictions of QFT
30
What Is Renormalization Theory and Why Is It a Criterion in Developing and Describing the Fundamental Interactions in Nature?
31
Renormalization Group of an Abelian Gauge Theory: QED
32
Renormalization Group of a Non-Abelian Gauge Theory: QCD and Asymptotic Freedom
33
Birth of the Electroweak Theory
34
The Higgs Field and the God Particle
35
The Elecroweak Model and the Significant Role of the Higgs Field
36
Spin and Statistics and the CPT Theorem
37
Grand Unified Field Theories and the Role of Inflation of the Universe
38
Supersymmetry and Superspace
39
The Very Nature of a SUSY Theory: Super-Poincaré Algebra, Energy Spectrum and Supermultiplets
40
Superfields
41
SUSY Field Theories: Maxwellian, Yang–Mills, Spin0-Spin1/2 Interactions
42
SUSY and the Standard Model: Couplings Unification
43
String Theory
44
Bosonic Strings
45
Compactification, <inline-formula><alternatives><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathscr {D} $$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> Branes and Mass Generation
46
Superstrings
47
Vertices, Interactions and Scattering
48
String Theory Re-Invents the Yang-Mills Field Theory
49
Gravity and Spacetime
50
Spacetime Curvature
51
Field Equations of GR
52
Transfer of Gravitational Energy, Polarization Aspects and Gravitational Waves
53
Review of Planetary Motion in Newtonian Theory of Gravitation in Brief
54
Schwarzschild Metric: An Elementary Treatment
55
Conservation Laws and GR Treatment of the Schwarzschild Metric
56
Perihelion Precession of Planets Orbits and the Schwinger-Binet Equation
57
Light Deflection in GR and Gravitational Lensing
58
Retardation of Light Signals in GR
59
Local Measurement of the Speed of Light in the Schwarzschild Geometry and Its Constancy
60
Black Holes Physics
61
Fall into a Black Hole
62
Black Holes, White Holes and Wormholes
63
Geometrodynamics of the Wormhole
64
Spinning Black Holes: Basic Properties
65
Spinning Black Holes: Rotational Aspects and the Ergoregion
66
Spinning BHs: Applications and Energy and Angular Momentum Aspects
67
Frame Dragging and Geodetic Effect Derived: Two More Tests of GR
68
Entropy, Thermodynamics of a BH and Hawking Radiation
69
String Theory Re-invents Einstein’s General Theory of Relativity
70
Accommodating Spinors in Spacetime and Emergence of Supergravity
71
Quantization of Geometry and Loop Quantum Gravity
72
Perturbative Quantum Gravity
73
Our Homogeneous and Isotropic Universe on Very Large Scales
74
Three Dimensional Surfaces of Constant Curvatures
75
Robertson–Walker Metric and Friedmann Universes
76
Expansion of the Universe and the Hubble Law
77
Elementary Derivation of the Friedmann Equations and Their Modifications
78
Evolution and Fate of the Universe
79
Age of the Universe and How Big Is It?
80
Distances in Cosmology
81
Statistical Thermodynamics in Brief
82
Black Body Radiation: The Planck Law
83
Statistical Distributions
84
Neutrinos and Ultra-Relativistic Particles
85
Big Bang Nucleosynthesis
86
Cosmic Microwave Background Radiation and Photon Decoupling
87
The Big Bang Description Needs Some Refinement
88
Inflation
89
Inflation Solves Three Key Problems of the Big Bang Description and GUTs
90
Field Theory Formulation of Inflation: A Time Dependent Vacuum and a Scalar Field
91
Power Spectrum, Geometry of the Universe and Parameters of Cosmology
92
Dark Matter and Dark Energy
93
Another Look at Our Universe
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