“[…] 5. Perceived Irrelevance or Lack of Relevance: Depending on the context of the Hacker News post, copy-pasting AI-generated content might be seen as irrelevant or not contributing to the topic at hand. This can be frustrating for users who are looking for meaningful and relevant insights from other community members.”
One can't solve 3-body problems without Superfluid Quantum Gravity, thus this that I took the time to add is very relevant.
Not worth helping then.
The article (from 1962) does not predict 3-body accelerations of large masses or particles using current methods (probably because they had not yet been developed at the time).
(Ironically, in context to the rejection of AI methods to summarize superfluid Quantum Gravity for the thread's benefit (and not my own),)
N-body gravity problems are probably best solved by AI methods; it is well understood that there are no known closed-form solutions for n-body gravity problems.
Three body problem: https://en.wikipedia.org/wiki/Three-body_problem
"They're already banned—HN has never allowed bots or generated responses. If we have to, we'll add that explicitly to https://news.ycombinator.com/newsguidelines.html, but I'd say it already follows from the rules that are in there."
I'll ask [Bard,] first:
P: What are the formulas for threshold force and critical impulse as sympy code,
> The threshold force and critical impulse can be used to calculate the minimum amount of force that must be applied to an object to start it moving and the total momentum that must be imparted to the object, respectively.
But "coefficient_of_friction" might instead be a fluid viscosity and/or curl term? When is fluid density zero?
P: What are the formulas for threshold force and critical impulse as sympy code, and then again with fluid viscosity instead of coefficient of friction?
> As you can see, the threshold force and critical impulse are both proportional to the fluid viscosity. This makes sense, because a more viscous fluid will create more drag, which will make it more difficult to start an object moving.
> It is important to note that the formulas above are only valid for laminar flow. In turbulent flow, the threshold force and critical impulse will be much greater.
> Whether or not it makes sense to use fluid viscosity instead of coefficient of friction depends on the specific situation. If the object is moving through a fluid, then it is important to consider the fluid viscosity. However, if the object is not moving through a fluid, then the coefficient of friction is the more relevant parameter.
P: how does viscosity apply to superfluid quantum gravity with bernoulli's?
> [rotation of galaxies, rotation of planets,] The expansion of the universe: The expansion of the universe: The expansion of the universe is thought to be driven by dark energy. Dark energy is a mysterious force that is causing the universe to expand at an accelerating rate. One possible explanation for dark energy is that it is a type of superfluid with negative viscosity. This would mean that the pressure in the superfluid would increase as the volume of the universe increases, which would cause the universe to expand even faster.
P: How do we model 3 body gravity problems where it is possible to move bodies 1 and 2? Do we model such n-body gravity problems differently with superfluid quantum gravity?
> In classical physics, 3-body gravity problems are typically solved using numerical methods. These methods involve integrating the equations of motion for each body in the system, taking into account the gravitational forces exerted by the other bodies.
> In superfluid quantum gravity, 3-body gravity problems can be modeled using a different approach. In this approach, the universe is modeled as a superfluid, and the bodies in the system are modeled as vortices in the superfluid. The gravitational force between two bodies is then modeled as the interaction between two vortices.
> [...] Here are some additional details about how 3-body gravity problems are modeled in superfluid quantum gravity:*
> - The equations of motion for the vortices are derived from the Navier-Stokes equations for a superfluid.
> - The gravitational force between two vortices is calculated using the Biot-Savart law.
> - The system is typically simulated using a numerical method called the finite element method.
> - The simulations can be used to study a variety of phenomena, such as the formation of binary stars and the evolution of planetary systems. [...]