From: abian@iastate.edu (Alexander Abian)
Subject: TIME HAS INERTIA    k/r^2  WITHOUT BRAHE , KEPLER  or NEWTON
Summary:  Pleas save  this, I am not going to repeat it again.
Keywords: SPHERE OF INFLUENCE
Organization: Iowa State University, Ames IA
Date: Sun, 20 Dec 1992 05:15:10 GMT

                                          12-20-92

In response to the demand, I am repeating  the derivation of  k/r^2. 

I do not necessarily subscribe to all the tenets of the Newtonian, 
Relativistic or Quantum Physics. However, if I were coerced to derive 
the Newtonian  k/r^2 principle, I would do as follows.

The most basic principle of Newtonian Physics, in fact the corner-
stone of the Newtonian Physics is 

(1) the gravitational attractive force  exerted by a unit mass on another
    unit mass when the masses are  r  units of length apart is given
    by      k/ r^2     for some constant  k
   
    Paraphrasing

(2) if the unit mass is placed at the center of a sphere of radius r
    then its gravitational attractive (influence)intensity at any point 
    on the surface of the sphere  is  given by
    
(3)           k/ r^2

    Reportedly, (3) culminated as a result of almost 250 years of 
ingenious work of at least five geniuses:  Nicolaus Copernicus (1473 -
1543), Tycho Brahe (1546-1601), Johannes Kepler (1571-1630,) Galileo
Galilei (1564-1642) and Isaac Newton (1642-1727).
    
    At least two of the above 5 geniuses were silenced by the reac-
tionary forces (as lunatic heretics).  But now all five are almost
canonized as Saints.  Almost every scientists declares: we are
living, riding, moving, sleeping, eating and dwelling on the
shoulders of these five giant geniuses.

    The  r^(-2) appearing in (3) is THE DNA OF THE NEWTONIAN MECHANICS.
    
    It is that  -2  (or essentially 2) that creates THE MAGIC.  Its integral 
involves  r^(-1)  which is the NEWTONIAN POTENTIAL  and that developes  elegant
Mathematical formulation of THE NEWTONIAN  MATHEMATICAL PHYSICS.

    Absolutely and very rightly so, a child may ask  WHY  r^2  in (3).

    If everything is done based on EXPERIMENTAL DATA - there is no way, 
absolutely no way that any experiment would yield a CLEAR CUT  2 in (3).  
WHY  2  ?  Why not more precisely  1.97  ?  
 
(please do not bring the  dimension argument - dimension is in our hands).

   If  (3)  is the cornerstone of NEWTONIAN PHYSICS which took 250
years of copious work of 5 giant geniuses - on whose shoulders the
welfare of the entire Cosmos rests  and on whose shoulders the
entire humanity dwells.... then I say those giants moved extremely
slowly, almost like retarded children, frightened adolescents,
compromising with  "guardians of truth of their times" and  totally
paralyzed and enslaved by the tyranny of the "guardians of the
truth  of their times", threatened and scared by "House arrests" and
"Inquisitorial indexing".  
  
  Of course the authorities and the "guardians of truth" acted according 
to (A3) and so did the 5 giant geniuses.  THERE IS NO ESCAPE FROM (A3). 
  (A3) IS THE SUPREME CAUSE OF ALL ACTIONS. 
  
  (A3) IS ALSO THE GREATEST LIBERATING FORCE.  Indeed, It 
liberated me by not succumbing to  "the tyranny of the tendency of
MAINTAINING THE STATUS QUO" and allowed me to think clearly, without
inhibitions and to derive (3) in less than one hour. 
   
   It took 5 giants almost 250 years to figure out (3) !  Here is 
my derivation of (3) with no observatory, with no experimental data,
with no verifiability and predictability, etc., etc (THANKS TO (A3))

   TO DEDUCE IN A MOST DIRECT WAY THE AMOUNT OF INFLUENCE  (as I have
already posted once - but repeating again because of e-mail demands)
AT DISTANCE  r,  I reason as follows

   Let a lit candle be put at the center of a  sphere (made of glass,say)
   of radius  r.    The light of the candle is spread on the surface
   of the sphere.
    
   THE AREA OF THE SPHERE OF RADIUS  R   IS   

               4pi  r^2      (NOTE THE CLEAR CUT  2 - not  1.97) 


(please don't ask me to derive without experimentation 4 pi  r^2 
 I CAN DO IT.  Please don't challenge me - I have no time.  If you ask
 me I will charge you $2000 per hour for the explanation !)

    The  light of candle is spread on  4pi r^2  units of area and THE 
INTENSITY OF LIGHT, i.e., THE AMOUNT OF LIGHT SPREAD ON THE UNIT SURFACE 
AREA IS PROPORTIONAL TO
             
(4)               1/ r^2   and can be given  by    k/ r^2        

The  2  appearing in (2), explains and reveals  the  MOST CRUCIAL 
SECRET  AND ENIGMA  OF THE NEWTONIAN PHYSICS, i.e.,
                  
                    of   2  in  (3)

   I like the above derivation of mine (which took me much  less than
one hour of thinking) to the derivation of 5 giant geniuses (which took
them almost 250 years).
   Based on (A3), I expect and predict that some people will tell me
now that my derivation was known not only to Adam but also to EVE!


   With love                              Alexander Abian

I recall:

(A3)  THE PRIME CAUSE OF EVERY ACTION OF EVERY OBJECT (ANIMATE OR INANIMATE)
      IS THE GAINING OF A FEELING OF SECURITY.

   (It is passed midnight - I am now exhausted and to calm down, I have to
    listed to the emotionally aroused revolutionary passages in the fifth
    piano concerto of Beethoven - Strange, to find calmness in storms )

  I am in no position of proofreading what I wrote. Excuse the mistakes!






-- 
   The tendency of maintaining the status-quo, Reaction to provocation and
                The tendency of maintaining again a status-quo.  
    TIME HAS INERTIA  and some energy is lost to move Time forward  
  E = mcc  (Einstein)    must be replaced by    E = m(0) exp(-At) (Abian)
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