Chapter 5 - THE UNIFIED FIELD THEORY |
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Equations of Creation
First, the constant of creation is the space-time defining mass (2.6944 x 1025 m3/s3) and giving the base harmonic or fundamental frequency of density in the Fourier Series, y(t) = ∑n (An sin 2πfnt + Bn cos 2πfnt) - where A and B represent the amplitudes of the various waves.
This series must be condensed to a cubic �singleton� equation instead of a �series� to be utilized in forming the harmonics of density and then proven to be the derivative of acceleration in harmonic motion. The condensation will require restricting precision to the Continuity of Space-time in an equivalence relationship.
Secondly, the Mass/Energy relationship and Plank's constant are used to define the constant called The Continuity of Space-Time. Since Energy is assumed to be quantized based on the wavelength (meters), the wavelength is added to the Mass/Energy relationship to get E = wLmc2 - where wL is the wavelength usually represented as Lambda(ƛ).
Adding a wavelength to the mass/energy relationship also provides the correct dimensional analysis: (m) x (m3/s3) x (m2/s2) = m6/s5. It is hypothesized that measurement and energy are quantized based on the concept of precision or granularity and reflected in the Heisenberg Uncertainty Principle.
The quantization due to the granularity of �light� based instruments is assumed to account for relativistic speed dilations and utilized in defining the granularity of continuity in space-time.
According to the Schroedinger Wave Equation and the De Broglie Relationship, the energy of a photon is quantized to: wLh/mv2. By using the standing wave relationship and circumference of a circle, whole number energy quanta is derived and applied to Einstein's Mass-Energy relationship.
The discontinuity of measurement and the fact that the wave is hypothesized to be spherical in nature, the quanta being the radius, derives the Constant of Gravitational Intensity. The Energy of a Photon (E = hf) when equated to Mass/Energy (hf = wLmc2), defines the units of Plank's Constant (h = 6.62618 x 10-34) by h x (1/s) = (m6/s5) -> h = (m6/s4) - making Plank's Constant equal to �Gravitational Intensity� in units of (m6/s4).
However, the equation: hf = wLmc2 can be algebraically manipulated to obtain h/c2 = mwL/f forming the constant h/c2 = 7.3723 x 10-51 (m4/s2). This constant �h/c2� or hc2 is used in many places (i.e. Plank's Black-Body radiation law, correcting and eliminating the �ultra-violet� catastrophe in Raleigh Jean's Law).
Hypothesizing a spherical quantum and equating h/c2 to a unit spherical volume 4/3 π r3 (with r = 1) derives 7.3723 x 10-51 (m4/s2) = 4/3 π (m3). Dividing 7.3723 x 10-51 by 4/3 π comes to 1.76001 x 10-51 (roughly 1/c6 = 1.37745 x 10-51 in magnitude) � hypothesized to be equal to 1 unit of granularity and an angular acceleration (m/s2) of nothingness in units.
Thus, it is postulated that The Gravitational Constant - c6 (7.259804 x 1050 m6/s6) relates Gravity to Light as The Constant of Creation - c3 relates Light to Mass. This theory is assigning the similarities in magnitudes and dimensions to harmonics, without conducting the appropriate experiments � which will undoubtedly account for the error in equivalence via spherical aberrations or elliptical orbitals.
Replacing the sphere with a polarized hollowed sphere and/or the phenomena of the elliptical orbits of electron orbital theory may be a more accurate depiction of nature to account for the magnitude discrepancies, provide a lens-based density magnification or dispersion of: ө/ө0 and follow the Shape of Time.
The proportion wL/f in the equation h/c2 = mwL/f simplifies to c/f2 by the proven relationship of wLf = c. Thus, h/c2 = mc/f2 or h/c3 = m/f2 and h/c3 is the Continuity of Space-Time: 2.454687 x 10-59 m3/s and is a constant, unit-fied volumetric gravitational velocity uniting nothingness with some thingness.
With the constant h/c3 and the known mass, specific heats, bonding energies and volumes of matter, the frequencies defining the harmonics of density can be calibrated! By using the Continuity of Space-Time, and the permittivity and permeability of free space, the Gravitational, Magnetic and Electric fields are united with atomic and molecular forces.
The Gravitational Field is defined by: F = G m1m2/ r2 where G is a Gravitational constant, m1 and m2 are the 2 masses and r2 is the square of distance between them. Since volume is not being displaced, mass is not replaced with density.
However, being that �light� is not referenced by the radial distance, the principle of distance being congruent to displacement can be applied allowing the term (r2) to become volumetric based on the radius and volume of a unified spherical constant (defined in the harmonics of density).
The new congruent term for (r2) will use (m6) in units leaving Gravity (g) in units of 1/s6 (i.e. (m3/s3) x (m3/s3)/m6 = m6/s6/m6 = (1/s6)). The Gravitational Constant (G) can be unit-less, allowing the square root of the "classical" gravitational field equation to define the actual field or volume of time creating the gravitational �force� between two masses at a distance in units of 1/s3. This same reasoning is applied to all fields.
The Magnetic and Electric fields are related by the permittivity and permeability of free space. These 2 quantities are related by: c = 1/(e�)1/2 or e� = 1/c2, where "e" is the permeability and "�" is the permittivity of free space. (NOTE: at a frequency with the magnitude of c3 the wavelength has the magnitude of 1/c2 - defining this proportionality).
Knowing the units of c2 to be m2/s2, it can be assumed that the units of "e" and "�" combine to s2/m2. Also, by the fact that the constant 4 π (surface area of a sphere) is used to proportion these values, it can be assumed that both "e" and "�" are based on an area-acceleration and not a volume-field.
To create a volume-field relationship, Maxwell's Equations must be related to pressure or gravity via the Poynting Vector S = E X B (1/u0) � quantitatively relating gravity to light.
The Electric Field is defined by: F = k q1q2/r2 where k is a Coulomb constant, q1 and q2 are the 2 charges and r2 is the square of the distance between them. The units are (m6/s5) x (m6/s5)/m6 = m12/s10/m6 = (m6/s10). Taking the square root of this quantity derives the units (m3/s5) � which is a �force�.
To become a field (1/s3), the Coulomb constant �k� must have the units of (s2/m3), which is an inverse volumetric acceleration. The Electric Field presupposes motion, which legitimizes the division of the charge by the acceleration or "motion" to get the field.
The Magnetic Field is defined using 2 current carrying wires of equal length (hypothesized as 2 current carrying spheres of equal radius). Since current is usually carried in a wire, Ampere's Law is based on this and the Magnetic Field "B" is defined as: B = u0 I1I2/(2 π r)2 where u0 is a permeability of free space, I1 and I2 are the 2 currents in Amps and r2 is the square of distance between them.
Without the permeability of free space (u0), the units are (m6/s6) x (m6/s6)/m6 = m12/s12/m6 = (m6/s12). Taking the square root of this quantity derives the units (m3/s6), which is the units of magnetic moment in the above table of physical dimensions.
To become a field (1/s3), (u0) must have the units of (s3/m3) or an inverse density, meaning e has units of (s/m) or an inverse wave velocity. Thus, it naturally appears that the permittivity and permeability of free space are related to wave density harmonics and wave velocity respectively.
According to the UFT, Power is Gravity is the Mass squared. The Magnetic field not only presupposes motion, but also the motion of the field or a second level of motion forming power (using Amps) and density instead of energy or charge. (It should be noted that the length, "L" in the current carrying wire is related to frequency by 2 π r).
This sums up all basic quantities of the physical nature and The UFT relates Mass Directly to Light and Gravity. The relevance of this equation is astronomical when Plank's constant is utilized to form the correct quantitative units!
A dimensional analysis of the restated physical definitions shows that Force is: m3/s5 and Energy is m6/s5, which not only can be interpreted as an Energy x Volume displacement but, since displacement and distance are �congruent�, this can be interpreted as an Energy existing at a volume distance (m3) surrounding all objects commonly referred to as the "Field" � and related to the concepts of Flux, Intensity and Moments.
It is the concept that there is a "Power" or "Energy" that exists at a distance (Flux) and not just a force that is important, and the equations for such qualities can be worked out through experimentation.
The nuclear and molecular binding, and internal forces within an atom are explicable via this theory, yet not elaborated upon because experimentation is definitely required to calibrate the correct numerical values. The experimentation will result in cold fusion techniques and formulas otherwise unknown. The inner and outer spirals of time already corresponds to the Atomic Orbital Theory, leaving centripetal and centrifugal forces to account for binding energy.
The equations of quantum mechanics and physics will have to be re-calibrated based on this unified field concept and the experimentally and mathematically derived harmonics of density. Also, astronomical phenomena, such as Entropy should coincide with predictable field related results.
Uniting the macrocosm with the microcosm and normal observations first necessitates that the normal observations are explained via a unified field concept that can be applied to the various domains of resolution. Assuming that mass is created and not pre-existent, requires a definition of mass solely in terms of light, space, or time and the stated relationship is as simple as possible leading to the final conclusion...
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© 2001 By Daryl E. Waite ([email protected])
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