Hybrid Manifold

Zitterbewegung

Abstract: [Moderator's note: no responsibility for content. LM]

This is an attempt to define a bulk which corresponds to both a string
cosmological and brane cosmological formalism which disallows other
branes that exist outside this universe.

Our bulk is homogenous manifold similar to a Joyce manifold but this
then glued at every point to an AdS4 which forms a surface to the
manifold . This manifold forms the background of everything that
exists.

Definition of the Hybrid Manifold

We define our bulk as continuous map of all points on a AdS4 (which may
or may be periodic) manifold and the Joyce manifold.

We state that the observation of the propagation of point particles is
actually a reflection of the current shape of the Joyce manifold. On
our manifold when the Joyce manifold bends or is warped then the AdS4
manifold's characteristics change as a result of the continuous
mapping. In other words the AdS4 manifold shows the shape of the
underlying substructure of the Joyce manifold. The Joyce manifold is
bound to a certain set of shapes and transformations which must follow
the laws of physics in the AdS4.

But now we must extend the hybrid manifold to have properties that
reflect current physical observations. We must have a manifold that is
both restricted to a subset of shapes that can exist on the manifold.
Also we must deal with the fact that energy is quantized.

A quantization of energy using hybrid manifolds

As a string moves through the part of our manifold that consists of the
G2 manifold it bends the manifold slightly so that we can detect the
point particle on the AdS4 space. The surface of our new manifold is
glued and because of this it can reflect properties of its bending The
reason we can detect different messenger particles is because as a
string moves through our hybrid manifold it is bound at certain parts
of the hybrid manifold due to the structure of the manifold. There are
only a specific set of path's that the string can move through and that
determines how the surface is bent.

Another property is that due to quantization the vibrations of the
string follow an ascending or descending chain of vibrational patters
as the strings gain or lose energy. Therefore each string follows a set
of vibrations given a specific amount of energy that a string
possesses.

Disallowing Violations of the Laws of Physics

Certain properties of physics can be disallowed by the Joyce Manifold
being unable to transform to that state because it is impossible.
Certain holes that may occur may require a great deal of energy which
are prohibitive to accomplish because they require a great deal of mass
, energy, or mass/energy density. Therefore they would be difficult or
maybe even impossible to accomplish.

Gravity Representation

There are two ways to represent gravity using this hybrid space. One
way is to give it a formal messenger particle and have a given energy
value for it. Another method is to say that gravity is a result of the
specific shape of the Joyce manifold and requires no messenger particle
whatsoever. This representation will be chosen once we have direct
evidence for either outcome and may remain independent of the theory.


Conjectures

An interesting conclusion that we can get from this formalism is that
we don't need a set of interacting branes to start the process of the
formation of the universe. Instead some event must create a difference
inside of the space and make it form into a stable state. Therefore we
can confine the universe formation to just this brane.

Another conclusion we might be able to draw is that the underlieing
substructure allows for the space to be improbablly flat and bypasses
all horizons by being glued to a singular space that influences all
spacetime. That it is merely a propery of the substructure and
independant of an alternate form of matter.