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Conterintuitive facts in mathematics, CS, and physics

axisofordinary.substack.com

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Re: Conterintuitive facts in mathematics, CS, and physics

#221
post #219

> The Earth makes 366.25 rotations around its axis per year Isn't it 365.25?

Here's a nice image that explains the difference between a solar day (meaning the time it takes until the sun is at the same azimuth again) and the sidereal day (meaning the time it takes for earth to rotate around it's axis once): https://qph.fs.quoracdn.net/main-qimg-ab0d69361311b4f15b0064...

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Re: Conterintuitive facts in mathematics, CS, and physics

#223

My favorite paradox in physics: what happens when you spin a disk at relativistic speed? The circumference should contract, since it's parallel to the direction of motion, but the radius is perpendicular, and thus should not contract. https://en.wikipedia.org/wiki/Ehrenfest_paradox

Spin the observer at the centre of the disc, and keep the disc stationary... now what happens?

not a physicist, but remember that accelerated frames break the symmetry.

Re: Conterintuitive facts in mathematics, CS, and physics

#227

Earlier quoted context omitted.

Can you explain the double slit experiment with this approach?

Not really, the waves in the double slit experiment travel through vacuum (or air), not through a solid like with polariser sheets.

But they interact with the matter at the boundary of the slit.

Re: Conterintuitive facts in mathematics, CS, and physics

#228

> The Earth makes 366.25 rotations around its axis per year Isn't it 365.25?

Imagine that the Earth was showing always the same face towards the Sun (like the Moon/Earth situation).

At the end of the year the Earth would have rotated once (not zero times).

Edit: Imagine now that you knew only that the Earth was rotating around its axis (not parallel to the orbital plane) once per year. Then either we are in the previous case (no day/night cycle) or there are two day/night cycles.

Re: Conterintuitive facts in mathematics, CS, and physics

#229
> The Earth makes 366.25 rotations around its axis per year.

This one isn't quite correct, unless you're talking about artificial Julian years. It is closer to 366.24, and even closer to 366.24219 = 1+365.24219 (https://pumas.nasa.gov/sites/default/files/examples/04_21_97...).

Re: Conterintuitive facts in mathematics, CS, and physics

#230

Earlier quoted context omitted.

> Both the stellar day and the sidereal day are shorter than the mean solar day by about 3 minutes 56 seconds. This is a result of the Earth turning 1 additional rotation, relative to the celestial reference frame, as it orbits the Sun (so 366.25 rotations/y). https://en.wikipedia.org/wiki/Earth's_rotation

So we would need 367 unique date identifiers … but we’ve only got 366 (Feb 29th being the non-annual one). I get I may be being unintelligent, but isn’t the author confusing the rolling coin paradox with an obscure astronomical reference system and coming up with a ‘mistakenly technically correct’ result that doesn’t match experienced reality?

Why 367 dates?

Dates are not used to count Earth revolutions. They are counting days/nights and there are only a bit more that 365 of those in one year.

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