So this one is a tinfoil-hat question. It is 99 % theoretical.
So we assume that I am someone who stores highly confidential information. Maybe super secret stolen goverment stuff. And I get caught by the authorities. The information is store in an AES256-XTS: Sha512 volume. The attacker has unlimited money and power. Maybe a data-center. So how long would it take to crack this and what would he attacks? The hash or the block cipher ?
PS: I know that AES was not chosen as standard because it is so secure, but because it has the best performance / hardware implementation / security balance. So maybe there are some AES backdoors in the implementation of some encryption-tools. So would it be better to use another algorithm in the case of highly sensitive data?