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.

Hypergeometrical Universe

The HyperGeometrical Universe





I finally decided to blog my theory into existence...

In this Blog, I will present the Theory of Everything which I aptly named The HyperGeometrical Universe.

For a deeper analysis, please visit the yahoo group site with the papers and FAQs. Here I will just explore the more interesting aspects of the theory.

The origin of the name is not the Hypergeometrical Function, but the fact that all elements of the Universe are described geometrically as solitonic states or deformation waves of a flexible five dimensional spacetime.

The added dimension in this space is non-compact and this new simple topology explains everything better that present compact topologies.

The theory is composed of four parts:
a) Grand Unification Theory
b) Cosmology
c) Cosmogenesis
d) HyperGeometrical Standard Model

Here I will present the first two parts and that will be enough to answer the following transcendental questions:
Q1. How was the Universe created ? -
This is answered by the Hypergeometrical Cosmogenesis Theory.
Q2. What lies outside the Universe?
Q3. What is the shape of the Universe
Q4. Why can’t one see the absolute past or the future?
Q5. Where did the Big Bang occur?
Q6. Why is the Universe so isotropic and homogeneous?
This is a late line of questioning originated from the measurements of the cosmic microwave background. The cosmic microwave background is considered to be the result of Big Bang and it is puzzling isotropic and uniform.
Q7. What is the origin of the Microwave Cosmic Background?
Q8. Why isn’t the Universe more like the result of any other three dimensional explosion?
Q9. Why is the Cosmological Constant so close to zero?
Q10. Can we travel at speeds higher than the speed of light? Are there objects moving at those speeds in the Universe?

I will also be happy to tell you What Time is and that Time is both ABSOLUTE AND RELATIVE.

Time has always puzzled Mankind. Newton, Einstein and Mach (and others) have their interpretations of time.

You will have to go through a Thought (Gedanken) Experiment of Being an Amoeba Stuck to the Surface of an Upwards Traveling Air Bubble (Traveling from the bottom of the sea to its surface) to understand it...:) ... You will also have to understand the concept of Proxy....

The nuances will be a little toughter to understand but stick to it and it will be rewarding.
________________________________________
Now let's start....

Development in this area are currently driven by two forces:
a) group theoretical considerations and
b) the attachment to the prior formalism (e.g. Maxwell Equations in Kaluza-Klein Theory,etc.), that is, one would like to recover asymptotically those equations from whatever Theory of Everything one can concoct.

These two forces are really one. The group theoretical considerations are used to keep only topologies that are consistent with prior developments.

In summary, we are attached to form as opposed to content.

It turned out, that those are unnecessarily restrictive constraints. In my line of thought, I revised the whole formalism by keeping only the reasons behind it. This will become clearer in subsequent blogs.

This theory is a simple theory of everything, simple enough to be the framework where one can describe all known (known to me) physical phenomena (nuclear scattering, electromagnetism, radioactivity, gravitation) and it is complete (account properly for all the energy bits that are contained in matter).

From Wikipedia - The "Plato's Allegory of the Cave"

I will start this Blog with the description of the situation as I see it. The best description is given by the Allegory of the Cave direct from Wikipedia, and reproduced below:

Imagine prisoners who have been chained since childhood deep inside a cave. Not only are their limbs immobilized by the chains; their heads are chained as well so that their eyes are fixed on a wall.

Behind the prisoners is an enormous fire, and between the fire and the prisoners is a raised walkway, along which shapes of various animals, plants, and other things are carried. The shapes cast shadows on the wall, which occupy the prisoners' attention. When one of the shape-carriers speaks, an echo against the wall causes the prisoners to believe that the words come from the shadows.

The prisoners engage in what appears to us to be a game - naming the shapes as they come by. This, however, is the only reality that they know, even though they are seeing merely shadows of images. Suppose a prisoner is released and compelled to stand up and turn around. His eyes will be blinded by the firelight, and the shapes passing will appear less real than their shadows.

Similarly, if he is dragged up out of the cave into the sunlight, his eyes will be so blinded that he will not be able to see anything.

At first, he will be able to see darker shapes such as shadows and, only later, brighter and brighter objects.

The last object he would be able to see is the sun, which, in time, he would learn to see as that object which provides the seasons and the courses of the year, presides over all things in the visible region, and is in some way the cause of all these things that he has seen (The Republic bk. VII, 516b-c; trans. Paul Shorey).

This part of the allegory, incidentally, closely matches "Plato's metaphor of the sun" which occurs near the end of The Republic, Book VI.

Once enlightened, so to speak, the freed prisoner would no doubt want to return to the cave to free "his fellow bondsmen". The problem, however, lies in the other prisoners' not wanting to be freed: descending back into the cave would require that the freed prisoner's eyes adjust again, and for a time, he would be one of the identifying shapes on the wall. This would make his fellow prisoners murderous towards anyone who attempted to free them.

This is what I faced when I tried to publish this theory and this is the reason why I decided to have a broad review of my ideas in a public setting.

I will start building the framework of the theory next.

Welcome to the Undiscovered Continent

Welcome to the Undiscovered Continent...:)

A site dedicated to the New Physics of the Hypergeometrical Universe Theory.

The Hypergeometrical Universe is a theory grounded on Physical Insight where the whole Universe is placed in motion at the Speed of Light. In doing so, all the forces of nature are unified in a simple framework.

This site will be a polished version of my other site, The Hypergeometrical Universe and will contain the applications and the vision that will bring us to the Undiscovered Continent.

Cheers,

MP