Saturday, July 15, 2006

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 shock-wave 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. 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.

1 comment:

MP said...

Below is reproduced a reply to a reader who told me that "It is Nice to be Nice to be Nice" to the people who came before us and who might have done a correct theory but might have missed implicit assumptions that might had simplified the whole problem.

I wholehearted agree. It is Nice to be Nice to be Nice.

I believe that nobody, including myself, is at fault for missing a point.

My theory is the product of not trying to read God's mind, but to find out what is really relevant in prior successful theories. Relativity and Quantum Mechanics have strong successes...

Relativity has the E=mc^2, an intriguing equation which begets the question:
Is this energy stored kinetically or in a potential (Strong or otherwise Force)... Subsequent Science told us that the energy was stored in a potential form. I decided to explore what would happen if it was stored kinetically... Equally important to me was if there was a simple way to reproduce Gravitation and Electromagnetism...

Simple inspection of the above equation indicates that there was a hypothesis of traveling perpendicular to the 3-dimensional space with a light speed velocity...

There is clearly no contradiction with observation if I the equation tells you that you are traveling at the speed of light.. Lorentz transforms or relativity says nothing on the traveling along that direction....

Quantum Mechanics and the initial success of the Bohr atom indicate that de Broglie waves might be a suitable starting point for the creation of the theory of everything... It becomes simple if you realize that there is no need for Strong and Weak Forces. One just has to reproduce Gravitation and Electromagnetism.

De Broglie wavelength is not intended for light speed travel along the fourth-dimension (one normally speaks about Compton wavelengths)... I decided towards the usage of de Broglie due to historical reasons.

De Broglie 4-dimension dilations (without the bother of creating a metric, geodesic equations, etc) are enough to replicate Gravitation, Electrostatic interaction and Magnetism (Biot-Savart Law)...This means that the theory is SU(3), it has all the other symmetries (translation, rotation) and if it misses any, there is a clear reason from proposed topology...:)

I replaced Lagrangian calculations (most theories these days proposed Lagrangians out of nowhere)...by its reason de etre... which is the minimization of the work of constraints...

Motion is due to the displacement of the dilator (dilation creator) at each de Broglie step (quantum mechanical influence) of the hyperspherical universe expansion to the position where it would be in phase with dilations created by other dilators... From this and a few other logical steps one can unify all the Forces...

This is the reason for Cosmological Coherence... The principle above indicates that all the dilators are always in phase with the surrounding dilations....This is necessary for the usage of extensive property reasoning when dealing with waves, that is, waves in HU add coherently ..:)

I would like to thank you for your kind comment and to say that I welcome any other comments, corrections and challenges... as well as your kind redirection of the theory to people who might be willing to contribute
or just read it...

I created this theory and in the same spirit of prior theories, I might be missing all the explanations and have implicit hypotheses that I am not aware... I believe it is a solid ground to grow a larger understanding of the Universe...:)

Cheers,

MP