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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.

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# Hybrid Manifold

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