What determines the laws of nature?

[AntonioLao]

Is this a Euclidean view?

It is a topological (differential or algebraic geometry) view of directions on the surface of a Klein bottle and on the curvature of Hopf links.

[quanta07]

Hi Antonio,
This topology is fascinating …The klein bottle..
http://mathworld.wolfram.com/KleinBottle.html
on the curvature of Hopf links….
http://mathworld.wolfram.com/HopfLink.html
a study of knot behavior…..
http://mathworld.wolfram.com/KnotTheory.html
and the energy of Hopf links,,,,,
http://www.geom.uiuc.edu/docs/forum/hoops_links/energy.html
This is some really heavy brain food! How does this tie into the behavior of nature?…….Q7

[Max™]

I'd say it is a result of nature having an ordered 3 Dimensional spatial structure with a temporal Dimension, that we are able to produce mathematics as complex as we do.

Higher numbers of spatial dimensions would make it hard to even produce stable atoms, lower numbers would be restricting.


Also: q7, what would you think if I said I decided I need to rewrite the schroedinger equation, so instead of describing a spatially extended transverse probability wave function, it will describe a temporally extended longitudinal wave function?

[quanta07]

Hi Max,

I'd say it is a result of nature having an ordered 3 Dimensional spatial structure with a temporal Dimension,
This is only one view. Minkowski Euclidean.

that we are able to produce mathematics as complex as we do.
IMHO, we do this because we don’t wish to accept a non-Euclidean view. When we project these Euclidean views into a nonlinear, non-Euclidean spacetime, we are forced to generate complexity in our attempts to make all things fit into our limited perceptions, possibly the wrong perception.
There are the operators…..
http://hyperphysics.phy-astr.gsu.edu/HBASE/quantum/qmoper.html#c1
that we use to define quantum behavior.
The Schrodinger equation
http://hyperphysics.phy-astr.gsu.edu/HBASE/quantum/Schr.html
is a cornerstone in the foundation of quantum physics.
It is a probability distribution function. It is used to give us a best guess prediction of behavior at the quantum level.
“God did not throw dice”…….A.Einstien
Every event may create a following event, as you increase the speed of your vehicle, the event of acceleration created changes velocity to V+A(t).
A particle of mass is not solid, it is a sphere whose radius is acceleration. Around each sphere is a plane. Within expansion, acceleration forms in 5 dimensions. Two behaviors are observed. A sphere of convergent acceleration within a plane of divergent acceleration, this being the black hole and the galactic plane. The other, a sphere of divergent acceleration within a plane of convergent acceleration, a solar system.
Because acceleration exists in this saturnlike form, we can be at best 60 percent sure of the sphere’s momentum or position.
The wave function properties
http://hyperphysics.phy-astr.gsu.edu/HBASE/quantum/wvfun.html#c2
allow us to assign probability to events in Euclidean spacetime.
Fitting a 5 dimensional behavior into our 3 dimensional perspective using a probability distribution function. Our attempt to normalize behavior for a better understanding of quantum behavior.

The quantum world is not Euclidean and did not come into existence until after the bang. The bang created Flux, a 7 dimensional behavior in spacetime. It appears geometrically as a convergent sphere connected to a divergent sphere by a line of flux. At the divergent sphere end, the existence of flux in time gives flux(t), which creates a sphere of Impulse, three dimensional impulse, from a single point, the birth of a star. If we consider an observation point in x,y,z near this singularity. At our x,y,z point the impulse is outward from our point. A closer point to the singularity has more outward impulse, while a point at a larger distance has less outward impulse. At the birth of our sun, the impulse which existed in time, generated impulse(t). It is after this short time ‘t’ that mass is formed. All mass in and about our solar system formed just after the sun exploded into existence. The heaviest elements from the periodic table formed at the maximum peak of the impulse wave that created our sun.
As you may surmise, I do not agree with Hoyle. All the periodic elements within our solar system were created at birth by our sun, the heavy elements did not drift in here as super nova remnants. If we were to venture to another solar system, we might find some different elements. Heavier elements that do no exist in our solar system, such as element 115.
At present there is still a small amount of Impulse in our sun. It is reflected in the level of activity, every 11 years(wavelength). It is sinusoidal in behavior. Over an hour or so, our sun’s point divergent acceleration is relatively constant. About our sun is a convergent acceleration plane where mass has converged into planets, and most orbit the sun within this plane.

As a point of note, Aquarius is aligned with the galactic center, on December 21, 2012, our sun and solar system will be passing through the galactic divergent plane. It is at this time, that our sun will be the most active in 25000 years.

Higher numbers of spatial dimensions would make it hard to even produce stable atoms, lower numbers would be restricting.
IMHO, 5 dimensions of acceleration, produced by expansion is enough. The quantum effect which forms mass, just after the Impulse birth of a star, is explained here….
http://www.toequest.com/forum/mathematics-articles/427-the-pure-mathematics-space-time.html?garpg=5

Also: q7, what would you think if I said I decided I need to rewrite the schrodinger equation, so instead of describing a spatially extended transverse probability wave function, it will describe a temporally extended longitudinal wave function?
Well, if that’s what you want to do, why?

When we do not know, there is nothing wrong with taking a best guess. But, I agree with Einstein, things are not probabilistic in nature, God did not through the dice and hope for the best…….Q7

[AntonioLao]

How does this tie into the behavior of nature?

That Nature's behavior can be described by a minimum configuration of 8 directional invariance properties in terms of Hadamard matrices under matrix addition and matrix multiplication. Addition for physical charges (electric, weak, and color) and multiplication for physical mass (inertial, gravitational, relativistic, as well as electromagnetic).

[Max™]

Why rewrite Schroedinger that way?

It would work with Relativity, at the loss of a little of our sense of causality, but only on the subatomic scale.

[MJA]

I think it is mankind that determines the laws of nature,
and without those manmade confines or restrictions or laws, she's truly equal and free.

=
MJA