From: stargene@sbcglobal.net   
      
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   On Sunday, April 7, 2019 at 12:14:46 PM UTC-7, stargene wrote:   
      
   > 2. I think the answer to the author's first question is,   
   >    "These quantities have different units -- one is an energy   
   >    density, whereas the other is a dimensionless number   
   >    (the inverse of "number of operations").  So any coincidence   
   >    between their numerical values is almost certainly just   
   >    that, a coincidence.   
   > -- jt]]   
   >   
   Yes, lambda is often expressed as energy density (but acting as   
   a negative pressure).  Whether expressed as energy density, or,   
   as in the Einstein field equations, as (1/distance)squared , or   
   other parameters seems a matter of context.  As the entry   
   on the cosmological constant in the wiki entry states, "..Given the   
   Planck (2018) values of =CE=A9_=CE=9B = 0.6889=C2=B10.0056 and H_0   
   = 67.66=C2=B10.42 (km/s)/Mpc = (2.1927664=C2=B10.0136)=C3=9710--18 s^-1,   
   =CE=9B has the value =1.1056 x10^-52 m^-2   
   or 2.888=C3=9710^-122 in reduced Planck units.."   
      
   We get the quoted wiki Planck units value, by using the scaling   
   factor for (meter/Planck length)^2 ie: 1m / (1.616*10^-35m)^2,   
   which is 3.8 * 10^69.  Dividing 1.1056 *10^-52 m^2 by 3.8 *10^69   
   gives the stated reduced Planck unit value 2.88 *10^-122 (in   
   units of Planck areas, A_pl).  This unit of expression is generally   
   implied when considering the entropy of a black hole, where the   
   entropy S ~ A_bh / A_pl (A_bh is area of black hole.)  It is in this   
   context that black holes have been conjectured to be the ultimate   
   quantum computers.   
      
   Thus, S for a stellar mass BH might be say ~10^77.  While this is   
   a dimensionless number, it is clear that S also stands for the area   
   of the event horizon in Planck area units.   
      
   My point is that expression in Planck units (mass, length, area,   
   time) being fundamental, may act as if effectively dimensionless   
   in some contexts.  In that sense, my extension of Lloyd's result   
   and the lambda estimation may not be quite so immiscible.  Ie:   
   the age of our universe can be stated in Planck units, where   
   t_pl= 10^-44 sec, the age of our universe is 10^61 units in Planck   
   time.  So we might say that in this sense, a total universe   
   computational power, a la Lloyd, might be "an average of ~10^60   
   quantum operations per every Planck time unit", over the   
   holographic boundary of, and across the age, of the universe.   
      
   It's also worth noting that the most recent Planck based value   
   for lambda , quoted above as "2.888*10^-122 in reduced Planck   
   units" [ie: where Planck area ~ 10^-70 m^2] can be inverted   
   to read 3.46*10^121 * Planck area.  This roughly equals the   
   boundary surface area of the universe ~ 9.05*10^51 m^2.  That   
   is, 1 / lambda can be roughly construed as the entropy of our   
   universe.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)