2018-09-02
Bell's Inequality Explained with Venn Diagrams
A simple explanation of Bell's inequality using Venn diagrams.
2015-08-03
Cantor's Diagonal Argument and Two Views of Infinity
An analysis of Cantor's diagonal argument from the perspectives of actual and potential infinity.
2015-08-03
Actual Infinity and Potential Infinity: Two Views of Infinity
A comparison of actual and potential infinity, with examples from limits and Cantor's diagonal argument.
2015-07-05
Why Does the Square of the Imaginary Unit
i
Equal −1?
An explanation of imaginary numbers through matrices and rotations.
2015-07-05
Do Imaginary Numbers Exist? A Matrix View
A matrix-based way to understand the meaning of imaginary numbers.
2015-01-12
Bell's Spaceship Paradox and Lorentz Contraction
An explanation of Bell's spaceship paradox and the role of Lorentz contraction.
2014-09-18
The Many-Worlds Interpretation and the Born Rule
A discussion of attempts to derive the probability rule in the many-worlds interpretation.
2014-09-12
Schrödinger's Cat: Explaining the Famous Quantum Paradox
An introduction to one of the most famous thought experiments in quantum mechanics.
2014-09-11
Thin-Film Interference and Anti-Reflective Coatings
An explanation of how thin films reduce reflections through interference.
2014-09-10
The Mystery of Particle Lifetimes: Why Do Particles Decay?
An accessible look at the lifetimes and decay of elementary particles.
2014-09-01
Spin in Quantum Mechanics: Is It Really a Rotation?
An explanation of the strange properties of quantum spin.
2014-04-06
A New Proof of Zeta Regularization
A proposed proof that assigns the value −1/12 to the sum of the natural numbers using zeta regularization.
2014-02-23
Event Theory: Time and Elementary Events
An introduction to a framework in which time progresses through elementary events.
2014-02-11
The Equivalence Principle and the Origin of Gravity
A discussion of how gravity can be understood through the equivalence principle.
2014-02-08
Why the Zeta Function's Natural-Number Series Does Not Diverge
An explanation of how the zeta function assigns −1/12 to the divergent series of natural numbers.
2014-01-26
The Mystery of Existence: Is the Universe a Mathematical Fact?
A personal perspective on whether the universe itself may be a mathematical fact.
2014-01-26
The Double-Slit Experiment: An Introduction to Quantum Theory
A beginner-friendly introduction to the double-slit experiment.
2014-01-11
Questions About the Many-Worlds Interpretation
Frequently asked questions about the many-worlds interpretation.
2013-11-04
Zeta Functions and Bernoulli Numbers: Infinite Sums and Regularization
An exploration of Bernoulli numbers, zeta functions, and regularized infinite sums.
2013-09-28
Mandelbrot Sets Generated from the Riemann Zeta Function
Interactive visualizations of Mandelbrot-type sets generated from different functions.
2013-09-28
The Arrow of Time: Why Does Time Flow Forward?
A discussion of the arrow of time and its possible relation to the many-worlds interpretation.
2013-06-30
What Does the Wave Function Represent?
An exploration of the physical meaning of the quantum wave function.
2013-06-30
Animation of a Rotating Electron Wave Function
A visualization of rotating electron wave functions in a hydrogen atom.
2013-06-22
The Many-Worlds Interpretation of Quantum Mechanics
An introduction to the idea of parallel worlds in quantum mechanics.
2013-06-21
Deriving the Two-Valuedness and Angular Momentum of Spin-½ from Rotation of a 3-Sphere
A derivation of spin-½ properties using rotations of a three-sphere.
2013-03-07
Deriving the Born Rule from the Many-Worlds Interpretation and Probability Theory
An attempt to derive the Born rule using the many-worlds interpretation and probability theory.
2013-03-07
The Born Rule in Quantum Mechanics: Can It Be Derived?
An accessible overview of the Born rule and one proposed route toward deriving it.
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