Falling into the Schwarzschild black hole. Important details
S. Krasnikov

TL;DR
This paper clarifies common misconceptions about Schwarzschild black holes, explaining what an infalling observer actually experiences and dispelling myths about the horizon, singularity, and the universe's history.
Contribution
It provides a clear, rigorous pedagogical explanation of the experiences of observers falling into Schwarzschild black holes, correcting widespread misconceptions.
Findings
Infalling observer does not see the entire universe's history.
They do not cross the horizon at the speed of light.
Inside, they do not see the future singularity or a central point.
Abstract
The Schwarzschild space is one of the best studied spacetimes and its exhaustive considerations are easily accessible. Nevertheless, by some reasons it is still surrounded by a lot of misconceptions, myths, and "paradoxes". In this pedagogical paper an attempt is made to give a simple (i. e., without cumbersome calculations), but rigorous consideration to the relevant questions. I argue that 1) an observer falling into a Schwarzschild black hole will \emph{not} see "the entire history of the universe" 2) he will \emph{not} cross the horizon at the speed of light 3) when inside the hole, he will \emph{not} see the (future) singularity and 4) the latter is \emph{not} "central".
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