1. Meet Mr. Freeze
Mr. Freeze is an iced-time demon. Mr. Freeze exists outside of my subjective time. He has the power to change the amount of objective time it takes for subjective time to pass. Among other things, Mr. Freeze can freeze my subjective time without my noticing. Mr. Freeze might freeze subjective time by not just freezing me, but also anything in my perceptual environment (clocks, etc.). Thawed time occurs when subjective time is in perfect step with objective time. Iced time comes in two flavors. The first occurs when subjective time is frozen relative to objective time. The second occurs when objective time is frozen relative to subjective time.
2. Iced Time: Flavor the First
Between any two subjective instants (subjective temporal units of zero duration) Sn and Sn+m, Mr. Freeze can insert a non-zero amount of objective time without my noticing. And he can insert two non-zero duration units of objective time without my noticing. And he can insert three. Leaping inductively, it follows that Mr. Freeze can insert an infinite amount of objective time between any two subjective units without my noticing. Suppose that it is now subjectively noon. How much objective time will pass before subjective noon+m? An infinite amount. Will I notice that noon+m objectively effectively never arrives? No, I will not. How much objective time needs to pass for me to have a subjective experience as of time passing? None at all. Effectively, no objective time needs to pass at all for me to have a subjective experience as of the passage of time.
3. Iced Time: Flavor the Second
Just as Mr. Freeze can insert units of objective time between my subjective units, he can remove them. Between any two subjective instants (subjective temporal units of zero duration) Sn and Sn+m, Mr. Freeze can remove a non-zero amount of objective time without my noticing. And he can remove two non-zero duration units of objective time without my noticing. And he can remove three…[insert inductive leap here]. Mr. Freeze can remove an infinite amount of objective time between any two subjective units without my noticing. Now it’s objective time that has been frozen and my own life can pass, in its entirety, in (objectively) no time at all.
4. Objective Time: Who Needs It?
If certain assumptions of multiple realizability and the computational theory of mind are true, then my entire mental life can be structurally isomorphic to a computer program which, when run, will have phenomenal consciousness just as I do. And if the stuff about Mr. Freeze and iced time in 1, 2, and 3 are true, then whatever structures are realized by objective temporal relations can be realized by non-temporal relations. Thus, the program doesn’t even need to be run. Just sitting, inert, written on a (very large) disc, the static un-run program suffices for the instantiation of the entirety of my time consciousness.
[...] - Pete Mandik, suggests in a blog post I read the other day, that we could store all of these internal states on a large [...]