On Tue, Oct 20, 2020, 12:28 AM Bruce Kellett <[email protected]> wrote:
> 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 don't describe the system you can't say if it's at the bound or not. If the sphere is filled with 1 kg of low energy photons bouncing back and forth inside the sphere and there is no large scale order or correlations between the photons, then you reach the bound. You can hold on the order of 5 * 10^43 photons in both spheres, whether it's 1 kg of photons in 2 meters or 2 kg in 1 meter. The larger sphere let's you have as many photons if half the energy. Both situations saturate the bound for their mass and 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 -- > I don't, and no, such a microscopic 1 kg black hole does not have as much entropy as the 1 kg of free photons filling a 2 meter sphere. Jason 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 > <https://groups.google.com/d/msgid/everything-list/CAFxXSLTvh8xZahtkDy8kkUY3W2cHNf7ZADzggpWGCVHL5UwS5Q%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- 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/CA%2BBCJUhSqOhJRfGsV69rnAAicsVt3VEP7O4ffvPdA94edtWWyg%40mail.gmail.com.
