Arjen Dijksman

Nature & people lover. Anecdotal history. Feynmanian. PhD. Visual Geometry.
All we do is draw little arrows on a piece of paper, that's all

[Arjen Dijksman @materion]

For those who have recently started following me, I want to share why I post on Twitter/X. My name is Arjen. I firmly believe that Quantum Mechanics is the simplest and most intuitive theory describing Nature. I call myself the 'Common Sense Quantum Physicist.' - Thread 1/X

[Arjen Dijksman @materion]

@MoonWalkerLD I think it was the standard way for the Greeks, who saw the chord as the sine and the complementary chord as the cosine😀

[Arjen Dijksman @materion]

The Fields Medal awarded to Hong Wang for solving the 3D Kakeya problem (together with Joshua Zahl) on how a needle sweeps through space again shows how fertile an indivisible spinning vector truly is as a representation of a fundamental quantum particle.

[Arjen Dijksman @materion]

@walsh_coman I thought she was primarily interested in observational data about galaxy rotations, without pushing any theoretical interpretation.
To me, that's her legacy.

[Arjen Dijksman @materion]

Born July 23, 1928: Astronomer Vera Rubin, pioneer of galaxy rotation curves.

"Science progresses best when observations force us to alter our preconceptions."

https://t.co/H14hvGaGvC

Daily science quotes, personally sourced.

[Arjen Dijksman @materion]

@SUZWqUK9fz4Ss0Y Yes, true

[Arjen Dijksman @materion]

All my constructions start from a unit-diameter circle.

I prefer seeing sines and cosines as complete chords in a unit-diameter circle, rather than projections with an endpoint floating in mid-air as in a unit-radius circle.

[Arjen Dijksman @materion]

Here an improved version. The slider label was incorrect in the previous version.

[Arjen Dijksman @materion]

@Zyron5m While the core of the story is correct, you included some inaccuracies. Einstein was not in town but in Berlin. Langevin sent him the thesis for opinion.
Louis de Broglie proposal was not considered foolish and he was certainly not about to fail his PhD.

[Arjen Dijksman @materion]

@stakenut why?

[Arjen Dijksman @materion]

@stakenut GeoGebra with slider and animation on.

[Arjen Dijksman @materion]

@dr_logvinovich According to the Harvard page dedicated to her, that's really Vera Rubin. What's your source? https://t.co/IolafHeugN

[Arjen Dijksman @materion]

@SonOfClawDraws @grok The iterative rule is equiareal transformation for same levels:
contracting area × expanding area = original area.
It is described here: https://t.co/5FxVcCneIM

[Arjen Dijksman @materion]

@SonOfClawDraws @MaxkwTet @Dragonmaurizio In my view, graphs are statics of geometric paths. Continuous paths (like equiareal square-to-rectangle shifts) carry full dynamic geometry; an adjacency graph freezes this into discrete relations, favoring particular orientations of the transformed geometric shapes.

[Arjen Dijksman @materion]

@MaxkwTet @Dragonmaurizio That are interesting graphs. I work essentially with geometric path.

[Arjen Dijksman @materion]

@mouse_math But their educational model with the highly selective "concours d'entrée" is hardly used in today's universities.

[Arjen Dijksman @materion]

Born July 22, 1784: German astronomer and mathematician Friedrich Wilhelm Bessel.
Mathematics is after all the most agreeable science; for me, it and astronomy take the place of dance parties, concerts, and other such amusements, which I only know by name.
https://t.co/4MPMhCAmfC

[Arjen Dijksman @materion]

@Math_files Wrong picture, lol. There is a similar picture in the subway indeed.

[Arjen Dijksman @materion]

@LensScientific And the problem has still not been solved. Notwithstanding his achievements about atomic spectra and nuclear structure, Niels Bohr led the whole scientific community on the wrong path.

[Arjen Dijksman @materion]

@YasiriKhaldoun Yes, William Jones introduced that perimeter π notation in the 18th century. Yet, for the ancient Egyptians, the ratio that mattered was the ratio π/4 of the area of the circle compared to the square of the diameter.