[AntonioLao]

Searching for the ideal definition of what a function is is an Eulerian mathematical crusade of the 21st century. This is the Holy Grail of mathematics as what a TOE is to Physics and the cup of the Last Supper is to Christianity.
As noted by Roger Penrose in his book ‘The Road to Reality’, 2004 there are two approaches: (1) the real one by power series expansion and (2) the imaginary one by complex analysis. However, as also pointed out by Penrose, at the local infinitesimal domain of space-time, these are equivalent. Nevertheless within the real, there exist two binary operations. These are the operation of addition and multiplication.
A function f(c), by the real approach is represent able by its power series expansion: f(c)=a0+a1c+a2c²+a3c³+a4c+… . The necessary condition for the existence all these a-coefficients is that the function itself must be differentiable or the same as saying that for each step of differentiation a limit exists. The result is Maclaurin’s series and its analyticity.

[mkirkpatrick]

The thing to do here is first to burst the bubble,then grab the holo and make a hoop from it to jump through into a more simple explanation as to the reality of existance!



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick The thing to do here is first to burst the bubble

There more holes there are in a theory the more plausible it becomes.

[mkirkpatrick]

Originally Posted by AntonioLao There more holes there are in a theory the more plausible it becomes.

We are on a winner here then Antonio?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick We are on a winner here

A holes on a virtual volume is real. If there are infinite number of real holes then the volume becomes real.

[mkirkpatrick]

Originally Posted by AntonioLao A holes on a virtual volume is real. If there are infinite number of real holes then the volume becomes real.

Are these actually real holes,or gaps in our understanding of expressing phenomena?


regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick Are these actually real holes

Only real holes can break the bond of isolations for all isolated systems such that two ways transporting mass and energy across system boundary become possible.

[mkirkpatrick]

Originally Posted by AntonioLao Only real holes can break the bond of isolations for all isolated systems such that two ways transporting mass and energy across system boundary become possible.

These holes then sound remarkably like a worm hole to me,as worm holes do indeed
transport mass and energy across vast expanses in a flash!



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick sound remarkably like a worm hole

I still have not witnessed firsthand the physical reality of this worm hole. I heard and read about it in lectures and books on cosmology.

[mkirkpatrick]

Originally Posted by AntonioLao I still have not witnessed firsthand the physical reality of this worm hole. I heard and read about it in lectures and books on cosmology.

You will be amazed when I tell you that you have!And furthermore many times in your
sleep,when you astral-travel you exit and enter via a wormhole,which links this dimension
with that of the astral-etheric plane.

When this occurs while you are aware of even awake meditating,it is followed by a sensation of rapid forward motion,just like traveling very fast through a tunnel.


regards michael.