We have shown throughout this blog and its companion book “The Reality of the Fourth *Spatial* Dimension” there would be several theoretical advantages to defining space in terms of the continuous field properties of four *spatial* dimensions instead of four dimensional space-time.
One of them is it would allow one to understand the graviton or the unit of quantum gravity in terms of field properties of the space-time environment defined by Einstein.
The concept of a field was developed when physicists learned that they could simplify the calculations of the forces involved in planetary motion by assuming or imagining the existence of a continuous gravitational field. They defined this field in such a way that if another planet were put at any point in that field the resulting force between it and any other planet would be exactly the Newtonian one. This simplified the calculations of planetary motion because it allowed them to isolate and analyze the forces of one planet on another instead of trying to analyze the forces exerted on a planet by all of the others at the same time.
Originally, many thought this was just a trick to simplify calculations.
But Michael Faraday, while researching electromagnetism discovered that a field has real physical properties and therefore was able to convince others that is was more the just a calculating device.
However, the concept of the physical properties of a continuous field being responsible for the propagation of forces is inconsistent with the Quantum mechanical assumption that energy and forces can only exist in discontinuous or quantized particles.
But as mentioned earlier we may be able to define a theoretical connection between the Gravitron and field properties of Einstein’s space-time universe if we redefine them in terms of four *spatial* dimensions.
Einstein give us the ability to do this when he defined the geometric properties of mass in a space-time when he used the equation E=mc^2 to derive the balance between it and energy because by using the constant velocity of light he provided a method of converting a unit of time he associated with energy to a unit of mass we believe he would have associated with space. Additionally because the velocity of light is constant he also defined a one to one quantitative correspondence between his space-time universe and one made up of four *spatial* dimensions.
Some physicists describe the properties of a quantum system such as a Gravitron as being the result of a field quanta or chunked ripples or waves in a continuous field that ‘look like’ particles because waves can only be propagated through a continuous medium.
However the concept of a continuous field must be apply to all quantum systems because the 1927 confirmation by Davisson and Germer of Louis de Broglie theory that they all particles display a diffraction pattern associated with waves when they interact with a crystal lattice. Therefore, one must conclude that the space between all particles is made up of a continuous field to permit the movement of their wave component through space.
As mentioned one can understand the makeup of the graviton if one redefines Einstein space-time environment in terms of four *spatial* dimensions because as was shown in the article “Why is mass and energy quantized?” Oct 4, 2007 one can understand how the continuous field properties of four *spatial* dimensions can result in them formation of the quantum mechanical system associated with gravity.
There are four conditions required for resonance to occur in a classical 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.
However, the existence of four *spatial* dimensions would give a matter wave 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, the oscillations caused by such an event would serve as forcing function allowing a resonant system or “structure” to be established in four-dimensional space.
These resonant systems in a continuous properties of four *spatial* dimensions are responsible for the quantum mechanical properties of a quantum field.
Earlier the article “Gravity in four spatial dimensions†Dec 15, 2007 showed that one can derive the forces of gravity in terms of a curvature in the continuous field properties of four *spatial* dimensions.
(The curvature is analogous to the space-time curvature Einstein postulated was responsible for gravity.)
However, as was shown in the article “Why is mass and energy quantized?” Oct 4, 2007 all energy is propagated through space in discrete quantized units.
Those two articles show how one can define a theoretical connection the graviton and the continuous field properties of environment consisting of four *spatial* dimensions or four dimensional space-time in terms of the resonant field properties of space .
Later Jeff
Copyright Jeffrey O’Callaghan 2010