Recent content by renormalize

I disagree. Consider this right triangle: We have the "awkward expression":$$\tan\theta\equiv\frac{c}{a}=\frac{1}{\sqrt{\frac{b^{2}}{c^{2}}-1}}$$And obviously ##\tan\theta## is a "quantity that grows without bounds" as ##b\rightarrow c##. Do you therefore advocate avoiding the "suspicious"...

The Earth's orbit is an almost-circular ellipse.

Suppose you draw the orbit as a 200mm (approximately 8 inch) diameter circle centered on the sun. Then the actual position of the Earth in northern winter would be shifted by less than 2mm to the inside of the circle. How visually noticeable do you consider that?

No, that statement is too restrictive. It's true that the singularity theorems of GR are defined in terms of geodesic incompleteness, but it's also true that physical quantities diverge at a spacetime singularity. See Recent Developments in Gravitational Collapse and Spacetime Singularities for...

How precise does the drawing have to be? According to https://en.wikipedia.org/wiki/Apsis, the Earth's orbital radius at aphelion vs. perihelion in AU is ##1\pm0.0167##. That's less than 2% deviation from a perfect circle. Is depicting Earth's orbit as a simple circle close enough for your...

That's not verifed. I managed to track down the paper to which the Quanta Magazine link refers, as well as this more recent one that cites it: Status of the S8 Tension: A 2026 Review of Probe Discrepancies. I quote from the article: This is a rapidly evolving area of cosmology and the jury is...

The symbols of Christendom and Ummah, coexisting in harmony.

Write a polite email with your questions to the appropriate authors and see if they answer. What do you have to lose by trying?

##r^{2}=h^{2}+\left(r-a\right)^{2}\Rightarrow h^{2}=2ar-a^{2}=a\left(2r-a\right)=ab\Rightarrow h=\sqrt{ab}\quad\blacksquare##

You are of course free to ask detailed questions here on Physics Forums, but the reality is that this particular one is likely much too specific and technical to get useful feedback from PF. You might be better served by directly contacting one or more of the authors that you mention in your post.

What is the shape of the "radome"? Is it a flat sheet of dielectric? If so, what is the sheet thickness? What is meant by "extends the length of propagation"? And does this reflector have to work at only one wavelength or is there a finite bandwidth? Finally, are you familiar with "Salisbury...

Can you please supply more complete citations (titles, publication names, volumes, page numbers, etc.) for both the Phillips, and Flückiger et al., papers to which you refer?

The OP is presumably referring to the Diósi–Penrose model: https://en.wikipedia.org/wiki/Di%C3%B3si%E2%80%93Penrose_model

Welcome to Physics Forums, but do note that discussing unpublished personal work is not allowed here: Speculative or Personal Theories: Physics Forums is not intended as an alternative to the usual professional venues for discussion and review of new ideas, e.g. personal contacts, conferences...

But that observation in itself does not falsify Mach's principle, which seems to be the goal of your rather disjointed arguments; i.e., distant stars rotating faster than light, centrifugal force is independent of ##G##, and so on. If you can't supply actual references supporting your claim...