Category Archives: Math

Q: “i” had to be made up to solve the square root of negative one. But doesn’t something new need to be made up for the square root of i?

Physicist: The beauty of complex numbers (numbers that involve ) is that the answer to this question is a surprisingly resounding: nopers. The one thing that needs to be known about is that, by definition, .  Other than that it … Continue reading

Posted in -- By the Physicist, Math | 17 Comments

Q: What are “delayed choice experiments”? Can “wave function collapse” be used to send information?

Physicist: There are a lot of big claims made about entanglement, but there are two carved-in-stone facts that help cut through some of the more grandiose claims.  First, (maximally) entangled states always act exactly like a perfectly random state, until … Continue reading

Posted in -- By the Physicist, Entropy/Information, Experiments, Philosophical, Physics, Probability, Quantum Theory, Skepticism | 6 Comments

Q: What fair dice can be simulated by adding up other dice?

The original question was: The five platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) are often used in games to make 4, 6,8,12, and 20-sided dice respectively. However, if you renumber the dice using nonnegative whole numbers you can create … Continue reading

Posted in -- By the Physicist, Brain Teaser, Combinatorics, Logic, Math, Probability | 14 Comments

Q: Where do the weird rules for rational numbers come from? (Dealing with fractions)

The original question was:  Why is it when we multiply fractions we multiply the numerators across  and the denominators across?  Whereas when we divide we don’t do the same?  Who came up with these rules and why do they work … Continue reading

Posted in -- By the Physicist, Conventions, Math | 7 Comments

Q: Can resonance be used to destroy anything? Is the “brown note” possible?

Physicist: Nope! “Resonance” is a “driven harmonic oscillation“, where the driving force pushes and pulls at, or near, the “resonant frequency” of whatever it is that doing the resonating.  There are two big issues involved with destroying stuff using sound, … Continue reading

Posted in -- By the Physicist, Equations, Math, Physics | 34 Comments

Q: Why does it take thousands of years for light to escape the Sun?

Physicist: The original statement is often something like, “It takes tens of thousands of years for a photon to get from the core to the surface of the Sun, but only eight minutes to get from the Sun to the … Continue reading

Posted in -- By the Physicist, Math, Particle Physics, Physics, Probability | 15 Comments