"Chasing Planet Nine: Five Sigma is the level of evidence for the Higgs boson to be awarded a Nobel Prize."

Balancing Curiosity and Critical Thinking in Science: "Whenever they make a point that's really crucial to the development of good scientific habits, I like to double click on that and really enforce that for, you know, half my audience is, you know, young people in academia... And so when the Konstantin said just now that the stakes aren't life or death... the stakes for kind of what makes us, you know, enriched as a species is the exploration."

Exploring the Unknown: "I always say when you counter a flaw, it could be a new law."

"Unveiling Planet Nine's Influence on Kuiper Belt": "It takes a couple billion years for a pattern to emerge, but right about now we're starting to see how the anti aligned direction with respect to the orbit of the introduced perturbur is kind of starting to get preferred."

The Mysterious Influence of Planet Nine: "So what these calculations tell you is that if Planet Nine really exists, it should also, in addition to doing this confining business, drive a steady flux of long period objects that cross the orbit of Neptune."

"Uncovering the Cosmic Conspiracy": "So I don't wanna make the impression that one and a half days is, you know, absolutely the critical number, but the order of magnitude is kind of conserved even though the mass of the central body changes by orders of magnitude. So how can this be? Right? How can there be within this context a deep level, deep, like, state level of conspiracy where all discs get truncated at an orbital period of only a few days."

The Role of Jupiter in the Solar System: "First of all, every person interested in celestial mechanics to have ever lived has concluded that the solar system is composed of the Sun, Jupiter, and other things."

"Exploring Cosmic Mechanics": "In fact, all of this business with stellar disk truncation came from the realization that like t Tauri stars do not spin at breakup, right? They spin at a period of a few days, and that's because they spin at almost co rotation with the, with the truncation period of the nebula."

The Science Behind Jupiter's Spin: "And when you plug in the numbers for a dipole field, what you get is that the equilibrium rotation very quickly, in like ten to the three, ten to the four years, approaches 0.88 of the orbital frequency at which the disk is truncated."

"The Dynamo Effect Explained": "Well, now we know that this quasi universal three day pile up of planets and satellites is a natural consequence of the interplay between disk accretion, Kelvin Helmholtz contraction, and, just dynamo generation in a fully convective objects."