> A strong human can easily play an entire game blindfolded - even in blitz/high speed time controls. So seeing a line 30 moves out is not especially remarkable.

How are these points connected? Playing blindfolded doesn’t require being able to calculate 30 moves deep (or any particular number).

Being able to remember/visualize an N move sequence without losing the thread while blindfolded is not at all the same thing as being able to calculate N moves deep.

I assume you mean because when a human is calculating some variation 30 moves deep that we're obviously discarding a ridiculous chunk of the overall game tree possibilities? Absolutely true, but the same is also true of computers. For instance I just let Stockfish 17 run on the starting position until it got to a reported depth of 30. It took almost exactly 10 seconds while running at ~3.2 million nodes per second. So it assessed about 32 million positions to get to a reported depth of 30 (which is 15 moves for each side), but there's at least something like 8e41 possible positions there (that's assuming a low average of 25 possible moves per position). So it's discarding a percent of moves that pretty safely rounds up to 100%.

Another example to illustrate the point is the ICCF (International Correspondence Chess Federation). Were computers comparably competent at long-term play as they are at short-term, then there wouldn't even be a competition. It'd simply be who has the strongest computer. But in reality that seems to play no particularly decisive factor. For instance, as in "normal" chess, there remains a huge gender divide in ratings, yet females certainly have no less access to competent hardware than males.

No, a blindfolded human chess player isn't calculating a selective variation 30 moves deep. They've memorized the current state of the board, and update it when their assistant (not blindfolded) tells them the opponent's move. That's completely different from imagining millions of future possible boards simultaneously.

This is not really how it works, at least not internally. For instance the record for blindfold simultaneous games is 48. Playing that by anything even remotely like conscious memory would probably be impossible. If it were simply a game of conscious memory then a highly competent memory competitor should be able to play (even if to a poor standard) multiple blindfold games, yet in reality he'd probably be unable to play a single one - even if he is entirely capable of memorizing a deck of cards, which is vastly more 'state' than a chess position. And vice versa, test a highly competent blindfold player in a general memory game and he'd be unlikely to do much better than above average.

Chess, for a stronger player, is very much like a language - in fact it uses the exact same area of the brain. It's like when you read these words, you're not consciously thinking at all - the meaning just comes to you immediately. And in fact you could trivially recall everything I said (even if not necessarily verbatim) if you just thought for a second or so. But simultaneously it's not like you actually made any effort whatsoever to memorize it.

So how long of a conversation could you hold with yourself in your mind? Practically endless, and you could probably reconstruct the overwhelming majority of it on demand. It's the same with chess. Meandering around in your mind to positions of an arbitrary depth is not difficult for a strong player. And the person I was responding to felt that a player writing down some analysis to move 20 would be some meaningful form of cheating. In reality, I'd absolutely love for my opponent to be able to write down their analyses. It'd waste just a monumental amount of time and afford no advantage whatsoever. It'd be akin to you writing down the conversation from your mind.