Genady

I think that this solution uses a prior result to the effect that which can be derived using CDF (and perhaps integration by parts).

They're going around forums promoting this article: link removed

OTOH, from the article: Sounds quite mystical to me.

I want to add to the @Markus Hanke's explanation above, that there are two more spatial coordinates, the "latitude" and the "longitude", which apply in the same way inside the EH as outside it. They are not shown on the Kruskal diagrams.

It depends on a "seeing" event. Draw two 45o light rays up from any event: it can be seen at any event on these rays.

You said "unprimed c" twice, so I don't know what you mean. Anyway, event C is seen at event C'.

The 45o line that goes through the origin and the events C and C', is a worldline of EH. The greyish area above it and to the left, with the events D, E, D', E', is inside the BH. The white area to the right and below - outside the BH. The hyperbola separating the light grey and the dark grey, with event F on it - singularity.

Here the green arrow shows that the unprimed observer being at event D sees the primed observer being at event M' (approximately):

This will help. As Susskind says in the General Relativity: The Theoretical Minimum, This is the figure 5, for reference:

All photons behind the horizon, in this diagram, go toward the singularity. There are no "backward-sent photons" there. Incorrect. Use the Kruskal diagram to find who sees whom and how.

The primed observer, falling through the horizon at event C', sees the unprimed observer, which is falling through the horizon at event C.

The same. As long as the falling objects are much smaller than the BH.

Yes. No.

Do you have any discussion points pertaining to Astronomy and Cosmology?

Does time exist? Yes, it does.

The formula above is correct only for a flat spacetime in Minkowski coordinates. The general GR formula is, $$ds^2=g_{\mu \nu} dx^{\mu} dx^{\nu}$$ (the summation convention implied.) In GR, this "crucial parameter" does not appear in any important formulas. There is no such thing. It is either one event or separate events. Nowhere in GR time is treated as the 4th spatial dimension.

Absolutely!!! Please, moderators, do this right thing!

What does make you think about hyperbolic planes? What do you mean by "the field of physics"?

What physics do you know? And, as mathematics is the language of physics, what mathematics do you know? Relating to your post, what do you know about hyperbolic planes, fields in physics, forces, electromagnetic field, Euclidean plane?

Neither. It is just nonsense.

No, this is not so. Here it is:

Not answering is not enough. I use filters provided by the site's software to avoid seeing such bs on my screen. The site's organization provides clear separation of different forums. By violating this separation, you piss in my yard.

This is what defines if it belongs to this forum. So, your stuff can be "research" somewhere else, but it is spam here.

Science does not consider it a legitimate reference. Your "quest" is not a science, your "reference" is not a scientific reference. Take your thread and go elsewhere. Stop spamming the science forum.

Do you have a reference to this?