The Magnetoquasistatic Field and Gravity, g = c4τ/πr3

Author(s) Greg Poole

Affiliation(s): Industrial Tests, Inc., Rocklin, CA, USA

ABSTRACT
Ampère-Maxwell circuital law is investigated and used to model the Earth as a series of stacked Faraday discs, which create the magnetoqua-sistatic field. A third new equation is constructed that relates gravity to the very near field of the Earth. Naturally occurring low frequency electromagnetic waves are coursing the surface of the Earth and penetrating humans and other nonmagnetic bodies. Similarities of the new equation and Einstein’s general relativity equation are revealed with c⁴, being prominent. A propagation delay is correlated to the resonant LC circuit of the inner Earth

Introduction

Magnetic fields come in various forms. Permanent magnets have static fields which are usually circular or spherical. More typically there are radio frequency magnetic fields, which may change both in intensity and frequency. Radio frequency fields come in a large variety of shapes and sizes. The Earth’s magnetic field is quasi-static, which means it can fluctuate slightly.

The magnetoquasistatic field of the Earth, is a piece of the electromagnetic field in which the slowly oscillating magnetic field dominates. A magnetoquasistatic field is typically generated by low-frequency induction from a magnetic dipole or a current loop. The magnetic near-field of the Earth behaves differently from the far-field electromagnetic radiation (1/r) or the near induction field (1/r²). At extremely low frequencies the rate of change of the instantaneous field strength with each cycle is relatively slow. The electric and magnetic fields are decoupled, and the region extends no more than a wavelength.

Ampère’s circuital law with the displacement current density considered, and Gauss magnetic flux continuity, is the primary laws to be discussed. The magnetic flux continuity law states that the net flux out of a closed surface area is zero. These laws determine the magnetic field intensity, H, given its source and the current density J. The magnetic flux is not everywhere irrotational, but it is solenoidal [1] . At such low frequencies the human body and many mineral rocks, which are weakly conducting non-magnetic bodies, are effectively transparent to magnetoquasistatic fields. As such, they will allow for the transmission and reception of signals through and to such obstacles. Naturally occurring low frequency electromagnetic waves are penetrating our bodies and every other living thing on Earth.

Since the magnetoquasistatic region is defined within one wavelength of the electromagnetic source, the Earth’s magnetoquasistatic field is limited to a frequency range between about 1 kHz and 1 MHz [2] . In resonant coupling, the transmitter and receiver are tuned to resonate at the same frequency and have similar impedances. This allows power to flow from the transmitter to the receiver. Such coupling via the magnetoquasistatic field is called resonant inductive coupling and is the electromagnetic source for cosmic wireless energy transfer between the Sun and Earth.

In antenna theory, the radial electric field is made up of two components, which are 90 degrees out of time phase. The term involving [Math Processing Error]1r3 represents the magnitude of the magnetoquasistatic field. The term involving [Math Processing Error]1r2 represents the magnitude of the induction field and [Math Processing Error]1r is known as the radiation field. The

inductive portion of the electric field is 180 degrees out of phase with the inductive phase of the magnetic field [3] . This paper deals with the inductive portion of the electric field, or that which is commonly referred to as the magnetoquasistatic field.

By defining each of the three components of the electromagnetic field in terms of gravity it will be possible to model the Earth using dipole antenna theory, and then mathematically represent gravity as functions of the separate E and H fields. The purpose of this paper is to relate capacitor theory and the magnetoquasistatic field of the Earth using Sir Edward Bullard’s and H. Gellman’s first electrical model of the Earth, a simple electrical “engineering” dynamo [4] . Any power engineer with testing experience will quickly discern that Sir Edward Bullard was representing the Earth as an electro mechanical over current protective relay which operates on the principles of Faraday’s disc. From a three-dimensional inductance/capacitance perspective using multiple Faraday discs, I then develop a representative equation for gravity in the magnetoquasistatic field.

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