This so called law is obviously and intuitively wrong. It fails to acknowledge limits on the number of inbound and outbound connections a member in a group-forming network can manage. The actual maximum-value structure is much sparser than Reed's guesstimate would suggest.
Hey technological dunce, servers don't have a Dunbar limit. Even users of P2P don't have to be limited by their Dunbar limit, because P2P is automated (which is probably why Bitcoin is tracking Metcalf's law).
My server for new website is accepting all connection requests to it and doesn't need to ask me first. Duh!
While it is true that Reed's law doesn't apply to all the users on the internet because they don't all connect with each other over the internet (i.e. P2P is not used yet by all users, although I plan to change that!), the article you cited admits that Reed stipulated that his law only applied to groups wherein all the users did interact with each other.
http://spectrum.ieee.org/computing/networks/metcalfes-law-is-wrongAt the other extreme, exponential--that is, 2n--growth, has been called Reed's Law, in honor of computer networking and software pioneer David P. Reed. Reed proposed that the value of networks that allow the formation of groups, such as AOL's chat rooms or Yahoo's mailing lists, grows proportionally with 2n.
If we limit my proof to only servers, we still find that my math about relative complexity applies the costs of the connections is growing slower than the complexity value of the virtual IP network. This is because the network self-organizes into a hierarchical hub-and-spoke topology that is
more efficient than a fully connected mesh. Thus the entropy is grower faster than the potential energy can according to the Conservation of Energy, and this gain is coming from
efficiency of topology. You can
quibble about the exact model of the growth of the virtual IP network, but you will never be able to argue that is not growing at a greater complexity scale than the cost of the physical network.
Although you won't admit it you are essentially trying to prove the second law of thermodynamics is wrong. You have no chance of success. If you insist on trying you need to make the argument using the math of thermodynamics not business school guesswork.
Don't flatter yourself. I was already well aware that you would think that and it is obvious why you would think that. Really I have your thinking all mapped out already. I know why you are wrong. I was going to address that fundamental math in the more abstract essay. Nevertheless the math above is irrefutable.
Start searching now for your mistake instead of assuming incorrectly and egotistically presuming that my thought process was not exhaustive (when have I ever demonstrated myopia?! never!), and see if you can figure it out before I tell you.
The network is
free market, self-organizing into a plurarity of top-down managed mesh or bus connected hubs which multifurcate (spoke topology) to the network ends.
I am arguing against a monopoly on (force) top-down management, because it has an entropy approaching 0. Someday you will get this distinction into your hard head.
AnonyMint I can tell you only spent 5 minutes on this.
It is clear you do not have the time currently to do this topic justice. I am content to leave the matter in dispute. Let's return to it later when you can give it more attention.
Flattering your ignorance with platitudes is noise. You'd be wiser to stop interjecting those incorrect barbs and stick to futilely, incorrectly arguing the facts.
In your stubborn ignorance, you are going to miss a huge opportunity to become a $billionaire. You are like the politically correct, mainstream educated fools who told Columbus not to sail because the world is flat.
Your disingenuous behavior is causing me to not ever want to be your friend in future, even after you finally realize I am correct. All the apologies you could make won't erase the memory I will have of how you prefer disingenuous ego (you appear to be so worried about your reputation as if that is your productive value in society whereas I shred my reputation every damn day because my value to society is actual production and pursuit of truth, ego be damned!) over intellectual pursuit of truth. If you were sincere, you would have at least explored the point I make above. It is certainly obvious to someone of your intellect. Or are you really that myopic? Well I have had a few indications that you are that myopic, such as the rash investment decision, etc.. So perhaps this isn't insincerety but rather just a mental handicap? Then I guess I should be empathetic.