Is the Universe Hyperspherical?
Of course not!!!!
A Hypersphere is described by the equation below:
x^2+y^2+z^2+w^2 +t^2=R^2
The cross-section above cannot be obtained from this equation and that means that I don't really know what is the name (if it has a name) of the 5-Dimensional Object I consider the Universe to be....
Of course, one can write the Universe parametric equations as:
Fi * C=R; (notice that I made Fi as a Cosmological Time, to make things simple)...:)
X=R* ThetaX; ThetaX is the Cosmological Angle for X.
{x,Tau} and {x', Tau'} are related through Lorentz Transforms if you consider Tau as proper time.
{x,Tau} and {x', Tau'} are related through a simple Rotation Matrix you consider Tau as a direction in the Four-Dimensional Space. This might seem confusing, but that is how I thought about the problem...
One cannot not write a theory just because an Object has no Name...
I named it Hyperspherical... I am sure someone will eventually give it the appropriate name...
In fact, now that I thought a little more about the subject, the topology might be a HyperCilindrical...:) HyperToroidal...:) ... or something lame as HyperCircular...:)
I don't know... Should I call the expansion a Lightspeed Expanding HyperToroidal or Hypercircular Universe..
If that is the case, let me know your preferences, and I will recast it as a HyperToroidal Object...:)
That is why I sought a better name for the theory which would hide this small detail.... The topology of my Universe has no name...:)
Now the Cat is Out of The Bag and I don't mean the Schrodinger Cat...:)
Enjoyed the image. It looks like a cylinder coordiate system. This system was first described in the mid 80's as the first attemp to unify gravity with E-M. locallized Magnetic curls were the problem as the go to infinity.
ReplyDeleteHi Frobien,
ReplyDeleteI was able to reproduce magnetism and electrostatics... without any infinities... One of the reasons is that proposed decay of dilaton intensity... I consider that the dilaton decays with a linear denominator of the type (1+P.k.r)
where P is connected to the particle spin, k is the k-vector and r is the position in the 4-D space)...
This decays is analogous to a 1/(4.pi.r^2) decay in a 3-D space...
All the equations are written in 2-D Cross sections and and span a "volume" of a multiple of 1+kr..
This volume should be "quantized"..
Notice that for kr<1 the dilaton is a free wave (not modulated by distance)...
Frobien... If you have a reference to such work, I would love to have it..
Thanks,
MP
Please, check the papers under the Header Papers... Someone left a notice complaining that there was no equations...:) Most of the equations are not reproduced in the blog... I only provide the logical framework in the blog..
ReplyDeleteThe equations are in the papers... on the top right side, under the header Papers...:)
Thanks
MP
Frobien...
ReplyDeleteNotice, that this model states that the whole Universe travels at the speed of light along the Radial Direction as a 4-D shock wave.
Up to now, I've never heard of any model that would propose such a hypothesis..
Most if not all the metrics have only one time and no absolute time... Mine has an absolute time and a time projection...(projection of the absolute time onto the inertial frame)..
MP
Call the 'object' a fivedoughnut.
ReplyDeleteFivedoughnut might not be the best name since there is no hole in the middle...:)
ReplyDeleteThe correct name is hypersphere but the coordinates are shuffled, that is, the axes associated with the standard hypersphere are not x,y,z,w. They are irrelevant (non-observables) for describing our local universe, which is described by a local Minkowskian metric.
Our X,Y,Z axes are within the lightspeed expanding hyperspherical shockwave Universe.
Cheers,
MP