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    How far to your twin?

    Pick what must match, how finely, and whether space is infinite, and see the order-of-magnitude distance to an exact copy — with every assumption explicit.

    What must match exactly?
    10^8.0 K

    Sets the slot size: a proton’s quantum fuzziness at this temperature.

    2

    2 = filled or empty (Tegmark’s counting).

    Is space infinite?

    Region that must match exactly: a sphere of radius 100 light-years (Tegmark’s example).

    SLOT SIZE0.174 pm
    NUMBER OF SLOTS1092.8
    POSSIBLE ARRANGEMENTS101092.3
    DISTANCE FOR A LIKELY COPY101092 m

    Written out in meters, that distance would need about 1092 digits. Treat it as a very rough guess: rounding choices alone (base 2 or 10, the cube root, the region size) move the top exponent by about one, while the slot size and counting rule move it by many units. A 2 m sphere at 108 K gives about 101038 m; Tegmark’s 101028 m for “you” would need slots about 0.3 nm across (around 25 K here). His published values for a 100-light-year sphere are 101092 m (Sci. Am.) or 101091 m (arXiv); for a Hubble volume, 1010118 or 1010115 m.

    The physics, the assumptions behind this tool and the sources are explained in If the universe is infinite, is there another you?.

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