We have shown throughout "The Imagineer’s Chronicles" there would be several theoretical advantages to defining the universe in terms of the existence of a continuous non-quantized form of mass and four *spatial* dimensions instead of four-dimensional space-time.

One of them is that it would allow physicists to derive the relationship between gravity and quantum mechanics in terms of the classical laws of physics.

The Elegant Universe Quantum Gravity

The article "Why is energy quantized?" Oct, 4 2007 showed the how one could derive the properties of a particle in terms of a classically resonating system made up oscillations in a continuous non-quantized form of mass on a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

There are four conditions required for resonance to occur in a classical Newtonian environment, an object, or substance with a natural frequency, a forcing function at the same frequency as the natural frequency, the lack of a damping frequency and the ability for the substance to oscillate spatial.

The existence of four *spatial* dimensions would give a continuous non-quantized mass component of space the ability to oscillate spatially on a "surface" between a third and fourth *spatial* dimensions thereby fulfilling one of the requirements for classical resonance to occur.

These oscillations would be caused by an event such as the decay of a subatomic particle or the shifting of an electron in an atomic orbital.  This would force the "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension to oscillate with the frequency associated with the energy of that event.

However, these oscillations in a continuous non-quantized form of mass would generate a classically resonating system or "structure" in a continuous non-quantized form of mass because it meets the requirements listed earlier for the creation of one.  These resonant structures are responsible for the quantum or particle properties of mass and energy.

Later in the article "Defining energy?" Nov. 26, 2007 it was shown one can explain and predict gravity in terms of a displacement or curvature in a continuous "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

(This curvature is analogous to a curvature in four-dimensional space-time Einstein assumed was responsible for gravity.  However it differs in that it defines gravity in terms of the classical concepts of *spatial* dimensions instead of a non-classical one of them being merged with time.

As mentioned earlier, the quantum properties mass can be derived terms of a classically resonating or "standing" wave on a continuous "surface" of a three-dimensional space with respect to a fourth *spatial* dimension while gravity can be define in terms depression or curvature in that same "surface".

In the article “The Photon: a matter wave?” it was shown that one can define particle or photonic properties of energy in terms of a resonant system generated by a matter wave moving on a "surface" of a three dimension space manifold with respect to a fourth *spatial* dimension.

However, this means a gravitational matter wave radiating energy form mass would form resonant systems or quantized packets on a "surface" of three-dimensional space for the same reason as the matter wave responsible for the photonic properties of energy did. 

In other words one could define the graviton or quantum of gravitational energy in the same terms as one define a photon or quantum or electromagnetic energy.

This show one can derive a physical link between the the quantum or photonic properties of energy and gravity by extrapolating the classical laws of three-dimensional space to four *spatial* dimensions.

However it also shows that one can use the laws of classical physics to derive Quantum Theory of Gravity or a link between the gravity and the discontinuous or quantum properties of mass and energy in terms of the existence of a continuous non-quantized form of mass and four *spatial* dimensions.

Later Jeff

The "Shadows" of four spatial dimensions

Copyright 2009 Jeffrey O’Callaghan

(In a PDF format)

1 Comment to “Quantum Gravity”

1. Polprav — 10/16/2009 @ 11:59 pm
   

   Hello from Russia!
   Can I quote a post in your blog with the link to you?

Write a comment

Name

E-mail (will not be shown)

Website