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From: Archimedes Plutonium on 13 May 2010 13:29 Enrico wrote: (snipped) > > Start here (?) > http://mathworld.wolfram.com/OrchardVisibilityProblem.html > > Points and lines in a lattice > http://mathworld.wolfram.com/VisiblePoint.html > > Invisible Infinities: Determining the Fraction of Lattice Points > Visible > from the Origin in the Third Dimension > http://www.usc.edu/CSSF/Current/Projects/S1613.pdf > That last one looks to be a young smart student in a science project. Much more sophisticated than my science project in High School with mice slides. > > I used the search string - lattice visible > The hard part was guessing what this problem > is generally called. There may be other names > and / or other models of this problem. > > > Enrico From reading Enrico's references above I am in good shape to consider that the radius of the electron and with the Intergalactic Medium density of about 1 atom per cubic meter would yield a result that says that the upper limit of telescope resolution of an astro body is somewhere in the 200 to 400 million light years away. This is hugely important to astronomy because it tells us that the quasars and the Great Walls are not billions of light years away but merely 400 million or less. --- from Wikipedia --- classical electron radius, also known as the Lorentz radius or the Thomson scattering length, is based on a classical (i.e., non-quantum) relativistic model of the electron. Its value is calculated as 2.8 x 10^-15 meters --- end --- So the diameter is x2 = 5.6 x 10^-15 meters 1 light year = 10^16 meters 400 million ly = 4 x 10^8 So I am looking at 4 x 10^24 meters The probability of a hurdle in running from a random lattice is 6/ (pi^2). That gives me reassurance that 400 million light years is too far of a distance if the Cosmic density of atoms is 1 atom per cubic meter. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |