Post by: jeffreyH on 29/08/2015 19:45:16
. If we consider infinity as a quantity then we can formulate the abstract algebraic formula 
. We can then decompose this unity to arrive at 
. Here the left hand side is zero and the right hand side has an infinite radial value. These values are imposed upon the equation forcing a particular result but show the relationship of the gravitational field to infinity.However, we can also formulate the equation thus,
. This then relates to an infinite mass energy. Such as that required to escape a black hole. Here radial distance from the source has no effect on the strength of force. This is because by implication there is no point outside the source across an infinite distance. This result indicates that if there were an infinite amount of matter it would have to occupy an infinite amount of space. Thus there cannot be an infinite amount of matter in the universe.
Post by: chiralSPO on 29/08/2015 19:54:53
for instance:
lim 2n = 2
n→∞ n
Post by: jeffreyH on 29/08/2015 19:56:59
Post by: jeffreyH on 29/08/2015 20:16:33
∞/∞ is not necessarily 1
for instance:
lim 2n = 2
n→∞ n
If you had stated instead:
then you would have a difference and be reformulating the equation in terms that could ultimately become complex and therefore amenable to quantum mechanics.
Post by: jeffreyH on 30/08/2015 17:29:01
So that we are using a complex infinity with its complex conjugate. The complex conjugate indicating a negative direction along the radius.
Post by: alancalverd on 31/08/2015 00:29:22
No,the RHS = 0.
Post by: jeffreyH on 31/08/2015 00:48:01
No,the RHS = 0.
Yes. Sorry I didn't make that clear.