On Tue, Nov 11, 2008 at 9:04 AM, Andrew Farnsworth <[EMAIL PROTECTED]>wrote:
> Nope, it means that to continue Moore's law we will need to start making > our computer chips out of denser and denser matter. It won't be long[*] > before we need to start using Neurton stars as source material and not long > after that before we will need to use the collapsed matter at the core of > black holes. > > Not long galactically speaking... we are currently at appoximately 2^28 > transistors. If we assume Moore's Law will continue indefinetely, we find > that by 2150 we have reached 1.5E51 transistors. Now working backwards and > assuming we will be running 1 Thz chips, we find that by the year 2100 we > will need to be using material denser than water (Water has a density of > approximately 1Kg / Liter) to surpas this limit. Wait! We already are > using materials that are denser than water! Ok, Copper is about 9 times > denser than water, lead is about 11 times denser than water. Ok, we will > work with 10 as an easy number... hmm, this only gives us an extra 4 years. > Ok, on to other materials. Iridium is 22x as dense. Another 18 months or > so... Ahh, here we go, the core of the sun! 150x as dense as water... > shoot, that is just another 4 years on top of iridium. Ok, lets go really > dense... 100,000,000,000,000x as dense (10^14) which gives us to 2148. > Better but not good enough. Black holes are next! 10^27 x as dense takes us > to 2192.. Only another 50 years! So if we manage to continue Moore's law > for the next 200 years we will all have a small black hole in our computer > as the CPU.. Somehow I think that Moore's law will break down before then. > ..but but what about a flux capacitor, surely we can some how right those things with duct tape and the moon's gravity to build full adders? > > Did I mention that I love math :-) > nope :-) > > Andy > > Andrew > > > On Tue, Nov 11, 2008 at 9:29 AM, Jack Coats <[EMAIL PROTECTED]> wrote: > >> >> That means: turn off all computers and cell phones and global warming >> goes away? ;) >> >> Andrew Farnsworth wrote: >> > I found the following quote on the wikipedia page for the ZFS file >> > system (http://en.wikipedia.org/wiki/ZFS) >> > >> > Quoting Jeff Bonwick (http://en.wikipedia.org/wiki/Jeff_Bonwick) >> > >> > Although we'd all like Moore's Law >> > <http://en.wikipedia.org/wiki/Moore%27s_Law> to continue forever, >> > quantum mechanics <http://en.wikipedia.org/wiki/Quantum_mechanics> >> > imposes some fundamental limits on the computation rate and >> > information capacity of any physical device. In particular, it has >> > been shown that 1 kilogram <http://en.wikipedia.org/wiki/Kilogram> of >> > matter confined to 1 litre <http://en.wikipedia.org/wiki/Litre> of >> > space can perform at most 10^51 operations per second on at most 10^31 >> > bits of information.^[10] >> > <http://en.wikipedia.org/wiki/ZFS#cite_note-9> A fully populated >> > 128-bit storage pool would contain 2^128 blocks = 2^137 bytes = 2^140 >> > bits; therefore the minimum mass required to hold the bits would be >> > (2^140 bits) / (10^31 bits/kg) = 136 billion kg. To operate at the >> > 10^31 bits/kg limit, however, the entire mass of the computer must be >> > in the form of pure energy. By E=mc², the rest energy of 136 billion >> > kg is 1.2x10^28 J <http://en.wikipedia.org/wiki/Joule>. The mass of >> > the oceans is about 1.4x10^21 kg. It takes about 4,000 J to raise the >> > temperature of 1 kg of water by 1 degree Celsius >> > <http://en.wikipedia.org/wiki/Degree_Celsius>, and thus about >> > 400,000 J to heat 1 kg of water from freezing to boiling. The latent >> > heat of vaporization adds another 2 million J/kg. Thus the energy >> > required to boil the oceans is about 2.4x10^6 J/kg * 1.4x10^21 kg = >> > 3.4x10^27 J. Thus, fully populating a 128-bit storage pool would, >> > literally, require more energy than boiling the oceans.^[11] >> > <http://en.wikipedia.org/wiki/ZFS#cite_note-10> >> > >> > >> > Nothing like imposing some hard limits on a system :-) >> > >> > Andy^ >> > >> > > >> >> >> > > > > --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "NLUG" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/nlug-talk?hl=en -~----------~----~----~----~------~----~------~--~---
