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The topology of digital minds is incompatible with the topology of our rights. Imagine there is an election tomorrow, and Alpha has a vote. Tonight, Alpha divides into two equally continuous successors, Beta and Gamma. Who gets to cast the vote? Withhold it from both, and the vote dies; give it to both, and it multiplies. Give it to one, and on what ground? The liberal order is based on rights like property ownership, the vote, and person-relevant criminal liability. I call these diachronic, indivisible, monocentric, and exclusive (DIME) incidents. Allocation of DIME incidents after fission can be done in several ways, which I outline, but every choice has a cost: rights either proliferate or vanish, or, in a vain effort to preserve them, land by fiat. Debates over AI rights usually focus on machine consciousness or sentience. I argue that the question of rights remains even after those vexing problems are solved. This is the hard problem of branching.
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Jack Carson (2026) studied this question.
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