On Tue, Oct 20, 2020 at 3:47 PM Jason Resch <[email protected]> wrote:
> On Monday, October 19, 2020, Bruce Kellett <[email protected]> wrote: > >> On Tue, Oct 20, 2020 at 3:23 PM Jason Resch <[email protected]> wrote: >> >>> It's telling you snipped all my examples of encoding more information by >>> using extra volume to get more combinations of positions. >> >> >> I snipped all of that because it was just recycling the same old, same >> old..... >> >>> >> >>> Do you not have an answer for the 1 kg in 2 meters vs. 2 kg in 1 meter? >>> >> >> Those examples are so far from the Bekenstein bound that they cannot tell >> us anything useful about the limits on encoding information in big or small >> volumes. >> > > > They aren't necessarily far from the bound. They can hit the bound. It > depends on the organization of the matter/energy in the volume. > A 1 kg mass of radius 2 m is very far from the bound, as is 2 kg in a 1 m radius volume. If you mean a microscopic black hole of 1 kg in the 2 m radius volume, then the entropy is maximized for that mass -- wherever the BH is inside the sphere. You cannot encode anything by its position without a physical grid specifying the location, and a corresponding lookup table: these would have additional mass, or be outside the sphere. The bound means that the entropy is maximum for any mass when it is in the form of a BH, regardless of its location, or the volume of the surrounding space. Bruce -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAFxXSLTvh8xZahtkDy8kkUY3W2cHNf7ZADzggpWGCVHL5UwS5Q%40mail.gmail.com.
