On 13 Feb 2013, at 04:29, [email protected] wrote:
After proving Euler's identity during a lecture, Benjamin Peirce,
a noted American 19th-century philosopher, mathematician,
and professor at Harvard University, stated that
"it is absolutely paradoxical; we cannot understand it,
and we don't know what it means, but we have proved it,
and therefore we know it must be the truth."
#
Stanford University mathematics professor Keith Devlin said,
"Like a Shakespearean sonnet that captures the very essence
of love, or a painting that brings out the beauty of the human
form that is far more than just skin deep, Euler's Equation reaches
down into the very depths of existence."
http://en.wikipedia.org/wiki/Euler's_identity
=====..
"it is absolutely paradoxical; we cannot understand it,
and we don't know what it means, . . . . .’
. . . but . . .
‘ Euler's Equation reaches down into the very depths of existence."
===..
Yes. Euler identity is wonderful.
It amazes me also that it makes the square of any complex number into
a (non normalized) gaussian:
(e^ix)^2 = e^(-x^2)
I love also Euler even deeper identity relating the square of the
integers and the prime numbers:
Sum from n = 1 to infinity of 1/n^s = Product on all primes p of (1/
(1- 1/p^s). This led Riemann to the deeper of all open problem in math
(Riemann hypothesis).
Ramanujan found quite amazing number relations. Some are so deep that
they link gravitation, quantum computing, prime numbers, string theory
and the arithmetic of the integers, all given a key role to the number
24.
Jacobi found amazing relations too, involving 24.
Math is full of surprising relations. That's a reason, I think, to
believe in their objectivity or 3p-independence.
Bruno
On Feb 12, 7:35 am, "[email protected]" <[email protected]>
wrote:
How to understand Vacuum: T=0K ?
==.
Physics (classical + quantum) lives under shadow of Vacuum.
I want throw light on this Vacuum.
Three theories explain the Vacuum T=0K :
a) theory of ideal gas because its temperature is T=0K,
b) QED theory because this theory explain interaction
photon / electron not only with matter but with vacuum too,
c) Euler’s equation: e^ i(pi) = - 1, because only in the
negative vacuum T=0K can exist ‘ virtual imaginaries particles’
which Euler described by his formula: e^ i(pi) + 1= 0.
d) The global conservation of energy is infinite .
And this infinite energy belong to the vacuum because that
more than 90% of mass ( dark mass/energy ) is hidden in the vacuum
How to understand vacuum's infinity ?
Vacuum's infinity has only one physical parameter: T=0K.
This physical parameter is the key to understand the essence of
Existence.
=.
Without Vacuum T=0K there isn’t Physics,
there isn’t Philosophy of Physics.
====.
Best wishes.
Israel Sadovnik Socratus.
==============.
On Feb 12, 7:15 am, "[email protected]" <[email protected]>
wrote:
' global conservation of energy can't even be defined for
the universe '
Brent
It means that global conservation of energy is infinite .
And this infinite energy belong to the vacuum because that
more than 90% of mass ( dark mass/energy ) is hidden in the vacuum
How to understand vacuum's infinity ?
Vacuum's infinity has only one physical parameter: T=0K.
=
On Feb 11, 7:48 pm, meekerdb <[email protected]> wrote:
On 2/11/2013 2:51 AM, [email protected] wrote:
I wrote that Planck gave answer to the questions:
How to understand Alice's Quantumland ?
How to describe the Universe as it really is ?
Does somebody disagree with Planck ?
Well for one thing it appears that global conservation of energy
can't even be defined for
the universe (no timelike Killing field) - so it can hardly be
the foundation of physics.
Brent
=
On Feb 10, 7:46 am, "[email protected]"<[email protected]>
wrote:
How to describe the Universe as it really is ?
=.
In his " Scientific Autobiography" Max Planck wrote :
' The outside world is something independent from man,
something absolute, and the quest for the laws which apply
to this absolute appeared to me as the most sublime scientific
pursuit in life. '
What are these ' laws which apply to this absolute ' world ?
==..
In the beginning Planck wrote, that " From young years....
the search of the laws, concerning to something absolute,
seemed to me the most wonderful task in scientist s life."
And after some pages Planck wrote again, that
" the search for something absolute seemed to me the
most wonderful task for a researcher."
And after some pages Planck wrote again, that
the most wonderful scientific task for me was
searching of something absolute."
==..
And as for the relation between relativity and absolute
Planck wrote, that the fact of " relativity assumes the
existence of something absolute" ;
"the relativity has sense when something absolute resists it.
Planck wrote that the phrase " all is relative " misleads us,
because there is something absolute .
And the most attractive thing was for Planck
to find something absolute that was hidden in its foundation.
3.
And Planck explained what there is absolute in the physics:
a) The Law of conservation and transformation energy,.
b) The negative 4D continuum,
c) The speed of light quanta,
d) The maximum entropy which is possible
at temperature of absolute zero: T=0K.
==.
I think that these four Planck's points are foundation of
science.
=.
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