Vishesh Khemani – Cantor's Archive

Quantum Mechanics

A Layperson’s Guide To Quantum Effects

You expect the physical world around you to behave a certain way. If you knock a glass off the table, it will fall to the floor and likely shatter. How do you know this? Primarily from everyday experience, which your brain distills into your intuition. Once you’ve seen enough

Field Theory

A Finite Number Of “Numbers”

What exactly is arithmetic on a field of numbers which are merely elements in some set?

Geometry

To 3D and Beyond

How many spatial dimensions do we live in? How many can we directly perceive? Are the two answers the same? If they are different, what effect, if any, do any higher dimensions have on us?

Probability Theory

A Wager, Rolling Restarts and Euler’s Number

Keep drawing integers from a random number generator (or a customized lottery machine) until you get a number that is smaller than the previous pick.

Astrophysics

The Speed Of Light

Have you thought much about the speed of light and its implications? If not, you really should. Therein lie marvels.

Infinity

Number Of Numbers: Infinite Weirdness

How many numbers of each type are there? Can two infinities be equal? Can one infinity be larger than another infinity?