My Boltzman-brain doppelgänger, BB, is intrinsically physically identical to me throughout a duration in which I imaginatively estimate how long it takes to write my signature. It looks like there's a common temporal content between me and BB that supervenes narrowly. Further, the content looks to be Russelian, the content itself is an amount of time. Suppose, however, that BB's in an accelerating reference frame and subsequently time dilated. Do the conceptual contents of our respective duration estimates diverge?