27 April 2007

Dimensional Structures . The Abstract

gravitystructure.blogspot.com

Dynamic Dimensional Structures
by
Benjamin C. Glowiak
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The Subject:
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Gravity has been a mysterious force since the proverbial apple fell and struck Sir Isaac Newton. Newton’s findings and thoughts presenting gravity to the world in the late 17th century were based primarily on the third law of planetary motion proposed by Johannes Kepler in the early 17th century, which states, “the square of the period of a planet’s orbit is proportional to the cube of its average distance from the sun.” Kepler further states, “Moreover, I show how this physical conception is to be presented through calculation and geometry.” Newton’s law of universal gravitation states, “the gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.” At no time in the direct statement of each of these laws is attraction between objects proposed as the reason for this occurrence. Human understanding has imposed the term attraction into the explanation and this has been maintained as the understanding without question ever since. Newton and Kepler followed in the footsteps of Brahe, Galileo and Copernicus whose deductions were all based on the meticulous measurement and recording of the natural ratios and proportions that exist in our solar system and galaxy.[1]

In order for Newton’s equations to match reality a gravitational constant was needed and eventually confirmed by experiment in the late 18th century by Henry Cavendish. The constant that expresses the effect of gravity and has been utilized as an effective tool in everything from artillery to space exploration ever since is expressed in anthropic and planetary terms as:

G = .667 x 10^-10 m^3 / s^2 kg
(m = meters, s = seconds, kg = kilograms)

The Theory:
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If anthropic and planetary references are marginalized and as long as it remains recognized that for gravity to maintain its characteristic and constant relationship to the universe, the representation of gravity must be capable of transcending scale, distance, volume, space, time and energy, an adjustment to gravity’s frame of reference is acceptable. Adjusting the scale and units to the basic gravitational frame of reference allows the gravitational constant G to be expressed as:

G = .667 d^3 / t^2 m
(d = distance, t = time, m = mass)

We know through application that gravity must be expressed in these or a similar term; however, an explanation for this expression has never been thoroughly presented.

The Hypothesis:
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In the concluding remarks to the 1919 article “Do Gravitational Fields Play an Essential Role in the Structure of the Elementary Particles of Matter”, Einstein presented a riddle in the form of a statement.[2]

“… Reflections show the possibility of a theoretical construction of matter out of gravitational field and electromagnetic field alone … This possibility appears particularly promising in that it frees us from the necessity of introducing a special constant ^ for the solution of the cosmological problem. On the other hand there is a particular difficulty. For, if we specialize for the spherically symmetrical static case, we obtain one equation to few for defining (the fundamental tensor) guv and (the electromagnetic field)xuv, with the result that any spherically symmetrical distribution of electricity appears capable of remaining in equilibrium …”. Albert Einstein, On the Cosmological Question, Concluding Remarks, 1919.

The lack of a viable explanation for the gravitational constant and field theory appear to collide at this statement. For gravity to fill this role an explanation for the gravitational constant is necessary.

This blogspot is intended to document and track the presentation of an explanation of the gravitational constant based on two well-established numbers. The mathematical values, pi and phi, furnish the * transcendental metaphor believed responsible for providing the proportion and dimensionality responsible for the gravitational constant G and is expressed as:
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G = 4 phi^2  / 5 pi = .667 d^3 / t^2 m
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(pi is the ratio of a circle's circumference to its diameter and phi is the * Fibonacci number)
(pi = 3.14159, phi = 1.618, see expression in sidebar at right)
(Units: d = distance, t = time, m = mass)
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* This author considers the value phi to be transcendental in higher dimensions and significant to proportion in five dimensions. If phi were involved in the unfolding of the universe, it potentially has the same relationship to the dynamic structure of the universe as pi has to the structure of a circle. In this regard, it is also believed that the gravitational constant is a manifestation of the universe's dynamic dimensional structure. Note: under current (circa 2007) number theory, phi is not generally recognized to be a transcendental number.

Acceptance of gravity in these terms returns scientific investigation of the cosmos back to its roots. It brings dimensions to a new beginning in developing a unified theory of existence and establishes a basis for bridging particle and wave from singularity to expansion with a form that opens the door to induction as the effective and operational mechanism for gravitational fields. Induction in turn establishes the link to electromagnetic fields and the subatomic world and provides for the dimensionality of energy and the relationship to other dimensions.
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Considering distance, area, volume, and space (volume through time, a.k.a. expansion) as a natural progression and recognizing that it can be debated whether or not rotation (curvature) precedes or follows expansion, rotation becomes the next viable vector. Rotation may in fact be the birth of energy primarily because it immediately establishes a focal point, i.e. a rally point for organization to occur.

Viewed in this manner, energy describes five-dimensions in the same sense that space describes four-dimensions, volume describes three-dimensions, area describes two-dimensions and distance describes one-dimension.

The Argument:
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I have presented the essence of this theory for publication, in similar fashion, over the last few years and been rejected. It remains my intention to attempt acceptance by traditional publication methods under the belief that traditional methods will provide a speedier vehicle for consideration in the broader dialectic, therefore, expediting the potential for acceptance.

The difference in the information presented for publication this time focuses on the gravitational constant and the ingredients necessary for developing the fundamental tensor for a viable gravitational field theory and is presented under the title “Dynamic Dimensional Structures”.

The chronology below will document the success in achieving publication and the discussions and debates that may follow. In the event that traditional publication is not achieved in short order an attempt for self-publication will be pursued, initially expanding within this blogspot environment. All of the arguments supporting the theory will be presented at that time. If traditional publication is achieved links will be provided to the full document and expanded information. The original submissions for publication will also be included at that time.
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The Chronology:
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October 2004 "Dimensional Existence – Knocking on Einstein’s Door" – Essay Submitted for Publication
October 2004 - Essay Not Accepted for Publication
September 2005 "Gravity – A Dimensional Structure" – Essay Submitted for Publication
October 2005 - Essay Not Accepted for Publication
April 2007 Blogspot Documenting the Progress of B. Glowiak’s Gravitational Constant Hypothesis and Dynamic Dimensional Structures Theory is Implemented
May 2007 "Dynamic Dimensional Structures" – Essay Submitted for Publication
July 2007 - Essay Not Accepted for Publication
April 2008 "DDS" - Essay Submitted to Gravity Research Foundation Essay Contest
May 2008 - No Consideration Demonstrated
April 2010 - "Field Rotations and the Pioneer Anomaly" - Essay Submitted to Gravity Research Foundation Essay Contest
May 2010 - No Consideration Demonstrated

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[1] On the Shoulders of Giants, Stephen Hawking – Running Press, R P Book Publishers, 2002.
[2] On the Shoulders of Giants, Stephen Hawking – Running Press, R P Book Publishers, 2002, pg. 1264.