For advanced undergraduate physics majors
What is a gauge theory?
Feynman path integral
An Introduction to General Relativity
Dirac string
Black hole information paradox
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The Basic Cosmology, the first part (for advanced undergraduate physics majors)
The expanding universe
Why was very early universe dominated with light?
The CMB today
The CMB anisotropy analysis
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The Basic Cosmology, the second part (for advanced undergraduate physics majors)
The number density, the energy density and the entropy density of relativistic gas
Neutrino decoupling
Recombination
Big Bang nucleosynthesis
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Prerequisites for Loop Quantum Gravity, the first part
Vierbein formalism and Palatini action in general relativity
Gauge transformations in dreibein
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Prerequisites for Loop Quantum Gravity, the second part
SU(2) Lie Group and Lie Algebra
Representations of SU(2) Lie Algebra
Non-Abelian gauge theory
Wilson line and Wilson loop
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Prerequisites for Loop Quantum Gravity, the third part
The Maxwell Lagrangian and its equations of motion
Non-Abelian gauge theory in differential forms
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Unification of Gravity and Electromagnetism in 5-dimensions
Kaluza-Klein theory
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Loop Quantum Gravity (for physics graduate students)
Area operator in terms of newer variables and dreibein
Ashtekar variables
“Newer” variables in Loop Quantum Gravity
Area spectrum in Ashtekar variables and Newer variables
Spin Network
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Elasticity
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Verlinde’s emergent gravity (for advanced undergraduate physics majors)
Verlinde’s derivation of Tully-Fisher relation
Verlinde’s emergent gravity
Covariant formulation of Verlinde gravity
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The CMB anisotropy
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Review Articles
Introduction
High School Mathematics
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For Mathematically Oriented
High School Students
For Physics Students
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About Me
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Math and Physics
Moving Beyond the Korean System:
On Learning To Love Mathematics and Physics
Surprises in math, the reason why I study physics,
and a recommendation for "The Number Devil"
Is math and science homework mechanical drudgery?
The mathematical beauty of physics:
simplicity, consistency, and unity
English as a foreign language versus English as a
mother tongue: an analogy for the language of
mathematics and the language of physics
Physics solutions for mathematical problems
Are memorizing formulas well and good arithmetic
skills essential to become a good theoretical
physicist or a good mathematician?
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The imagination in mathematics:
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Why Math Education Matters
Mathematical maturity in
solving mathematics problems
The square root 2 as
irrational number
The prisoner's dilemma
Math History
The superiority of Hindu-Arabic numeral system
Fermat's Last Theorem
The power of negative number
Nightingale, the statistician
The calculation of pi, the first part
The calculation of pi, the second part
Why are there as many even
natural numbers as natural numbers?
How to turn a complicated multiplication into a simple addition
Pythagoras and the musical scale
Physics
Studying physics as resolving paradoxes
The similarity between painting and theoretical physics
Fermat’s principle and the consistency of physics
Did Einstein really prove that Newton was wrong?
The cosmological principle, and my view on philosophy
The case for string theory
Why are theories of crackpots, the self-claimed physicists
who lack proper physics education, wrong and useless?
About This Page
Found out the reasons for my physics website
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Recommended Physics Books
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My Harvard Application Essay
My MIT Application Essay
Ein Monat wie im Traum (in German)
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Review Articles
Introduction
High School Mathematics
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For Mathematically Oriented
High School Students
For Physics Students
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한국어
Korean
For Korean Laymen
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