Universe as a Higher Dimension Shock Wave

Universe as a Higher Dimension Shock Wave







Many people might have a knee-jerk reaction to the premises of the HyperGeometrical Universe Theory of Everything (HU for simplicity)...

There are undoubtedly new ideas which are tough to digest. We are all used to think the same thoughts and new concepts are supposed to receive higher scrutiny. I will try to clarify some of the most likely contentious points of the theory:

1. The first that comes to mind is the iconoclastic idea that we are traveling at the speed of light from the focal point of a four-dimensional space (or five dimensional spacetime) Big Bang.

The Big Bang has been proposed to be the result of a four-dimensional Big Bang in the past. Li and Wesson proposed this in his paper

"The Big Bang as a higher-dimensional shock wave". In this paper the three dimensional Universe is presented as a hypersurface immersed on the fifth dimension. Solution for Einstein field equations without sources are provided including Wave-Like solutions of RAB=0. The topology is a one of a matter filed thus curved 3-D space in a flat 4-dimensional space. This means that the curvature is mass derived and the Universe resembles more an sphere inside a swimming pool. The Big Bang shock wave can be thought as 3-D shock wave crossing a page-like (flat) Universe.

The crossing of the 4D shock-wave on our 3D cross-section creates what I consider an unpalatable anisotropy. Just a matter of taste.
In my theory, the shock wave creates not a flat Universe curved by its mass, but a 3-D shell-like expanding at the speed of light.

The 3D Universe is the Shock Wave.

This is a tremendous departure from a 4D Shock wave disturbing a 3D cross-section...:) and of course, it is where Li and Wesson missed the boat. Not unlike everyone else, their space curvature is actually spacetime curvature and it is considered to be due to Mass - copycatting Einstein..>:)

In my theory the curvature is space curvature and it doesn't depend upon mass distribution...:) This curvature was never considered because nobody came up with a non-compact topology like the one I proposed. Simple as that...:)

It is difficult to be precise when speaking about curvature along a dimension we are not used to think about. I will only mention that there might be differences when I speak of curvature and when Relativity speaks of curvature. The other point is that the 3-D shell is defined based on the figure above, that is, X, Y and Z are perfect circles. As we travel around the Universe, we are always in the hyperspherical shock wave and if it were possible to propel oneself at speeds higher than the speed of light we would be able to go around the Universe. In fact, we would be able to get out of the Universe into the Void.
One might ask why the speed of light? The answer is simple and based on the following points:

1. Black Holes are considered to be very curved spacetime created by accretion of mass.
2. If we fall in a Black Hole we will be one with it, thus we will be a deformation of spacetime.
3. If item 2 is correct, we should be a deformation of spacetime since the beginning.
4. Light is due to alternate motion of matter (electrons), thus it should be a propagating deformation of spacetime.
5. Light propagates at the speed of light.
6. We are a non-constrained deformation of spacetime and thus we also should propagate at the speed of light.
7. If we are not traveling at the speed of light, that should mean that we are traveling perpendicularly to the directions we are able to see, thus we should be traveling perpendicular to our 3-D Universe.
8. The fact that we don't see anything from outside this Universe means that there shouldn't be any dilator (generator of spacetime oscillations) outside our 3-D shell.
9. The topology should be hyperspherical or whatever one would call this 4-dimensional object I proposed in my papers...:)
10. The space is naturally curved and has a radius of curvature equal to the dimensional age of the Universe (c * the age of the Universe).

It is important to notice that prior 4-Dimensional proposals of Big Bang as a Higher Dimensional Shock Wave missed the possibility that the Universe itself would be the shock wave.

HyperGeometrical Universe Topology

HyperGeometrical Cosmology







The HyperGeometrical Universe theory is a simple Theory of Everything that based on clues from Relativity and Quantum Mechanics proposes that the Universe is actually an expanding shell on a light-speed expanding hyperspherical space disturbance. That shell where our Universe lies is a three dimensional hyperspherical shell that travels outwards at the speed of light.

Simple inspection of the above figure allows for many conclusions.

1. The first one is the Hubble expansion and why the Hubble constant is not a constant.
   
2. The Big Bang occurred in all points of the Universe at the same time. This explains why wherever you look, if you look far enough, you will see the beginning of the Universe.
   
3. In a three dimensional Big Bang a tremendous amount of anisotropy would ensue. One does not expect to find pieces of a bomb where the bomb exploded. Many "explanations" were proposed but as far as I can tell, they were not palatable.
   
4. The Four-Dimensional Big Bang is the only model that allows for a smooth microwave cosmic background. It is my believe that the background is actually the Doppler shifted gamma radiation from the early few seconds after the Universe was set in motion.
   
5. The reason for 2) is that at the time the Universe was set in motion (point of supersymmetry of the hyperforce), energy flew from each and every point of the early Universe. As the Universe expanded, energy that traveled the dimensional age of the Universe (circa 15 Billion Light years) will be reaching you by now no matter where you look.
   
6. There is a funny corollary: Everyone is the center of the Universe (at least of the three-dimensional shell where we live).
   
7. Newton proposed that a body under the influence of no force will travel in straight line with constant velocity. This model explains why it will continue moving and inspection of the figure above shows that is is never a straight line.
8. The HyperGeometrical Universe Theory shows that non-inertial motion takes place through the change in propagation vector. Two radial trajectories (outgoing along the Radial fourth-dimension or k-vector along the Radial direction) at positions separated by alpha radians (see figure above) will run away (Hubble expansion) from each other at speed alpha * c (velocity of light). If a body starts moving from Point A with speed alpha*c, it will continue moving until it reaches a point alpha radians from Point A (Point B). Reaching that Point B the body will simply move outwards while its Hubble speed from Point A will remain alpha*C. In this model , motion is due to a change in k-vector which has a dual equivalent as a local spacetime deformation. The motion from point A to point B relaxes spacetime and make it naturally curved again. This means that the HyperGeometrical Universe Theory provides the reason for free motion and complements Newton's Law...:)
   
9. Of course, inspection of the figure also indicates that opposing point in the Universe will travel apart at speed equal to Pi*C (greater than the speed of light). Of course, this is immaterial since it is impossible to cross more than a radian in any direction (at the speed of light through the duration of the Universe).
   
10. Two regions of the shell separated by one radian will run away from each other at the speed of light...
    
11. If you look into the sky at positions distant from you the dimensional age of the Universe, you will be looking at your very next neighboring point when the Universe was just a few millimeters wide.
    
12. In summary, the Universe has a radius of curvature equal to the dimensional age of the Universe, is finite and circular and cannot ever be traversed.
    
13. The answer to the Age Old question of what do we have after the end of the Universe is more Universe (you just cannot go there ever..:)
    
14. The Universe is in expansion and that doesn't depend upon the Universe mass content nor Dark Energy or anything slightly shadowy... This is an expanding four-dimensional Universe. Einstein could only see three dimensions and thus was concerned with the mass content of the Universe and the mass induced curvature. In this model, these kind of considerations might have a meaning locally.
15. The average curvature is defined by HyperGeometry (or Geometry)...
16. Please review the attached paper HyperGeometrical Universe - Cosmology and the original HyperGeometrical Universe -Grand Unification and feel free to ask any questions or to provide any comments.