Entropy is a concept of disorder. A drop of blue ink inside a glass of water only has 10^10 factorial possible ways of being an ink drop, but it has 10^11 factorial possible ways of being an ink soup. This means as we roll the dice over and over again, the state that fills most of the possible tree paths is the state we're most likely to observe. This thermodynamic time is a consequence of parts of the ink drop leaving their place of origin.
If we reversed time though, all those parts of the ink drop would all point towards the future ink drop. Similarly, if all spacetime paths of all parts of a blackhole point towards one location, then thermodynamic time is running in reverse.
My question is if this logic is valid, and if this phenomenon implies that observers who are created within the blackhole would look like they're time-reverse form our perspective (assuming we could see inside a black hole), and if this same phenomenon can be applied to us? If all our spacetime paths point towards a singularity (the big bang), but because thermodynamic time points away from the destinational singularity, are we actually going back in time? From our perspective, we will come to a drawn out heatdeath which, in time reverse perspective, looks like particles turning into photons that become more and more redshifted, exactly the reverse of what happens to matter falling into a black hole, from the matter's perspective. Are we in a black hole?