Hi:
I teach Euclidean Geometry...and love it. I
enjoy Newtonian Mechanics. Lets face it. this is the world we see, feel,
hear, touch and smell. It is the world we live in every day and have to
deal with. On our scale and from our frame of reference, Euclidean
Geometry and Newtonian Mechanics are so close to perfect even NASA doesn't
attempt to use GR formulae in space flight trajectory calculations.
On our scale, the Earth is rough or chiral
anyway, and only when we stand at the edge of the ocean do we start to get
clues that the Earth is not flat. In Physics, one of my classes compared
the surface area of a series of spheres, and got our parabola. I threw the
chalk along the parabola and laughed at the look on the students faces as
they watched the chalk follow the parabola to the ground.
I asked the students to ask the obvious
question. Why not just drop the chalk and see if it follows the parabola!?
Then I told them to imagine themselves in space, watching the chalk
drop...same parabola!
The relationship between gravity and geometry
is just too perfect...such an observation MEANS something.
In my Algebra class we looked at a formula and
solved it for each quantity to show that the nature of mathematical
reality is periodic.
The problem with Newtonian Mechanics is that it
is a concept good only at one frame of reference- it is NOT, ABSOLUTELY
NOT cosmologically valid. Ultimately, in an abstract mathematical sense IT
IS NOT EVEN TRUE IN OUR SEEMINGLY FLAT WORLD, for its ultimate
"correctness" is found only at any single point tangent to a sphere.
You probably noticed that some bright Chinese
guy is posting a lot of controversial stuff on this forum. I don't have
the time to evaluate it all, but he was mixing Newtonian concepts with GR;
mixing two completely different concepts...and that is a no-no.
You told me that I can do anything I want with
the universe conceptually by increasing dimensions, and I really enjoyed
that...of course you are completely right! I picked the 7-D model for
certain reasons relating to observed reality, and the problems we must
solve if we are to get a viable picture of the universe the way it really
is.
This Chinese guy is mixing oil and water
conceptually, and it is no wonder everything seems to him to be
contradictory. At first glance his math seems ok but spatially and
conceptually he can't see the difference between a circle and a square,
much less see certainty to impossibility as another kind of periodicity!
The fact that what we see, feel, hear, touch
and taste is NOT correct cosmologically is profound and implies a certain
creepy quality to our existence... that we are parts of
something whose ultimate purpose is not congruent with our day to day
perceptions.
The universe remains mysterious, but GR does
have powerful experimental veracity. A casual search of the internet will
give anyone interested an impressive, up to date list of its triumphs.
Best Wishes, Sam Cox
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