I wrote 3 different series of papers during the year 2000, each designed to do a mathematical study of different foundational aspects of gravity shielding and/or antigravity-based propulsion, based of course on well-known laws of physics.
What's contained in these pages can be verified by many scientists and physicists, and is concrete. The pages were all signed and dated on 9-2-2000. These papers are VERY old, and much has followed since!!
The "A" papers, in general, look at formulations that show how propulsion (i.e. a net resultant force) could be achieved by using an antenna to generate asymetrical emission of electromagnetic waves. At the end, I use the corresponding values for mu and epsilon for gravity waves generated by parallel mass-flow tubes to show that in theory gravity wave propulsion could be done, but not in practice, since several kilograms of mass flow at .99999 the speed of light would have to be reversed sinusoidally at microwave frequencies! Also, very importantly, the first 3 pages of the "A" papers contain a messy and scribbled (but correct) recollection (as of 9-2-2000) of significant dates and activities prior to that which were relevant and significant to my development of my formulations and hypotheses. The pages were all signed and dated on 9-2-2000. All these documents were scanned in January of 2001, and this web page was first published on Tripod, on January 28, 2001. Just be it known that I am claiming 6-1-2000 as the official day I invented my theory about the electron.
The "G" papers were written next, and they derive the "Maxwell-like" formulation of gravity waves. This was original, independent work by me.
The "H" papers were an attempt to convert much of the "G" paper stuff to a different metric, as used by John Archibald Wheeler in his book "Gravitation", which I bought and read after the "G" papers were fully completed. At the end of the "H" papers, I calculated the force generated by, let's say the coaxial rod device made up of a material with atoms the size of uranium nuclei. This was a very rough calculation, but showed that a force of about 4 times10 to the tenth power could be produced, if my hypothesis about protons and electrons is correct. This was based on using a crude model for the inductance formula for a ring of current (page H-37), and applying it to the maxwellized gravity equations. At any rate, that's an incredibly large force produced!!! There is little doubt in my mind that this is how UFO's fly and make 90 degree turns "on a dime".
I admit the papers are horribly complex and mathematical, and only people with PhD's in physics could typically understand all this. But I'm hoping such people will peruse this and comment on it. For the laymen, it's impressive looking, but impossible to understand. However, as time permits, I will be adding nice explanatory comments to the right of each page, so that even the layman can at least follow the gist of the paper. So, keep coming back to check the status of the right-hand comments.
Thanks, and good luck reading.....
The following is from
"Invention Disclosure Document",
dated Feb. 22, 2001 :
Claims:
1) The re-formulation of the common General Relativity formulae into Maxwell-like formulas, similar to Maxwell's well-known formulas for electricity and magnetism, but with electric charge being replaced with mass and mass flow rates, and with the electric field replaced by what I call the Gravity "E" or "A" field and the magnetic field being replaced with what I call the Gravity "B" field (now referred to by others as a "gravitomagnetic" field). Gravity "A" is just the gravity we are all familiar with, being the ordinary gravitational attraction of the Earth. I also discovered what I call Gravity "C" and "D" fields, whose manifested forces are both dependent on the velocity of the object which is sensing the force (as is the case for the "B" field), and both of which are generated solely by the static mass of (Not the movement of) any large nearby gravitating object. Both the "C" and "D" fields are dependent on cross-combinations of the rectangular coordinate velocity components of the object sensing the field. The "B" field forces are dependent only on the simple velocity components of the object sensing the field, and not on any cross-combinations. Importantly, for my theory of how to model the gravity effects contained in subatomic particles, I found that the "C" and "D" fields do not exist, which simplifies the situation down to having only "A" and "B" fields. In fact in many situations, even the "A" field does not exist. I thought these derived formulas were new at the time I derived them, but later found several people had recently done the same type of derivations of formulas (within the last 30 years, but most in just the last 5 years). However, these authors have not yet, to my knowledge, made mention of what I call the "C" and "D" fields. I have only seen the "A" (ordinary static) and "B" or gravitomagnetic field talked about. I have invented, many months ago, designs for devices for measuring the "C" and "D" fields of the Earth, preferably done at the poles, which are based on gyroscopes made of inert (non-metallic and non-magnetic) material. I may present these here, or in a separate patent application. I should mention that the "A", "B", "C", and "D" fields I derived were the result of solving the common General Relativity equation for "weak field solutions" to the general non-linear equation. Most authors on the subject of General Relativity mention that "weak field solutions" are possible, and a few of the authors actually write down the general beginnings of such solutions. Very, very few authors have gone to the extra step of deriving exact Maxwell-like versions of the general weak field solutions, and I've only heard about such writings, but I have not actually seen any one of them. As far as I know, there may even be different versions of such Maxwell-like solutions, and it is possible that my solutions are different from other people's solutions.

2) Creating an electromagnetic wave or gravity wave antenna for the specific purposes of producing a net (or overall) force on the antenna. Antennas are currently only used for transmitting or receiving radio-related (i.e. electromagnetic wave) signals.
3) Concluding that there may be such a thing as negative mass, since reasons for its existence were compelling and prevalent in connection with the formulas I derived.

4) Concluding (on 6-01-2000) that electrons and other lowest-order constituent (i.e. non-divisible, as we know it) subatomic particles can be modeled as counter-rotating rings (or spheroids or wavelets, etc.) of positive and "negative" mass, such that the magnitude of the positive mass essentially equals the magnitude of the negative mass. Therefore, there is no net effective mass due to these "masses" present (i.e. they cancel), but there is a net "effective" mass of the particle due to the effective mass of an extremely strong Gravity "B" field present. The dipolar Gravity "B" field results from the rotational flow of both the positive and negative mass components. There is little or no gravity "A" field generated. Since the generated Gravity "B" field is present, and since it is extremely strong and localized, I hypothesize that what we commonly measure as the usual mass of the electron (or other subatomic particle) is actually just the effective mass caused by the "B" field. It is commonly known in today's physics that pure forms of energy such as magnetic fields, electromagnetic fields, gravity waves, and static gravity fields actually possess a mass (or rather, "effective" mass), albeit a very tiny one. They also can possess a momentum. I proposed (on 6-1-2000) that the effective mass we routinely measure for subatomic particles is entirely due to their extremely strong, localized dipolar Gravity "B" field, and there is no "real" or "actual" mass present. The theory just described was still unknown to any other persons as of the original date of my first writing this disclosure document [Feb. 20, 2001], as far as I know and to the best of my very informed knowledge. Calculations show that the Gravity "B" field intensity of typical subatomic particles must be extremely large, due to the fact that it takes an incredible amount of energy field density to create even a miniscule amount of effective mass. The consequences of this are staggering. It should be possible to generate extremely powerful gravitational forces by the proper manipulation of large numbers of atoms in unison. This easily opens the door to such possibilities as personal flying craft capable of ground to Earth orbit travel and beyond, with only reasonable and moderate amounts of energy necessary to power the required gravity wave propulsion engine. Also the intriguing idea occurs that, since such a craft would be enveloped by an artificially generated gravity wave field, the passengers of the craft would probably not experience any subjectively observable forces that are normally due to inertia and acceleration. This is because, in any gravity field, objects just fall and accelerate in the direction of the field, and don't feel any forces as a result of the acceleration. In essence, the craft could accelerate without limit and even make quick right angle turns, and the occupants of the craft wouldn't feel a thing. Finally, an even more intriguing thought occurs. If the craft can produce extremely powerful gravity fields as predicted for just moderate expenditure of input energy (from the microwave sources, in this case), then the craft could accelerate very rapidly to a large percentage of the speed of light in a reasonably short amount of time, without hurting the passengers in any way. Then, from the passenger's viewpoint and as such a physically real experience for that person, and due to the well-known fact that objects travelling near the speed of light experience certain length contraction effects as well as a change in the rate of time itself, the passenger will notice that he or she is able to travel many, many light years in just a short amount of time. Thus, travel to other worlds in the far reaches of the galaxy is now a real possibility.

5) Concluding by energy density calculations that the electron, proton, and neutron must emit an incredibly huge (at least locally) Gravity "B" field. Only a very weak "A" field (which is the normal type of gravity we are all familiar with) is emitted due to the effective mass of the "B" field.
Predicted title for the final patent, or for the patent search application (may change):
Devices for Gravity Wave Propulsion, Generation of Gravity Waves, and Directional Gravity Wave Antennas. Additional related keywords: Antigravity, Levitation, NMR.
Author and Inventor:
Richard Perry Crandall
Dated History of, theory of, and specification of patentable inventions:
DATED RECORD OF INVENTIONS, #1: On June-01-2000, I invented a gravity wave propulsion device (which also serves as a levitation device and as a gravitational wave producing antenna) consisting of two opposing parallel coils (or loops) of wire, each one of which is wrapped around a separate cylindrical piece of material. The cylinders are placed co-axially (i.e. the central symmetry axis of each one is aligned along a common line), with their end faces separated by a small gap. In many cases, the height of a cylinder is less than its diameter. The end faces are typically not flat, in order to purposely create a non-uniform field. The cylinders must each be made of a material (not necessarily solid, but at least confined inside a cylinder shell) which has either a physical property such that the electrons of the atoms constituting the material are free enough so that the spin direction (vector) of a majority of the electrons can easily be aligned and manipulated by application of a high frequency electromagnetic field, or has a physical property such that the nuclei of the atoms constituting the material have a net angular momentum due to the contributing (i.e. non-canceling) individual spins of the protons and neutrons of each atom and such that the nuclei are free enough so that the overall spin directions of the nuclei can easily be aligned and manipulated by application of a high frequency electromagnetic field. These requirements on the material are thus because at that time (of 6-01-2000) I had formed a new theory (a theory which is still unknown to any other persons whatsoever as of the original date of my first writing this disclosure document [Feb. 20, 2001], as far as I know and to the best of my knowledge) that electrons and other lowest-order constituent (i.e. non-divisible, as we know it) particles must mainly consist of a strong dipolar Gravity "B" field (a terminology I invented). The existence of Gravity "B" fields in general had been developed (or should I say "co-developed") independently by me as of 5-07-2000, with no knowledge at that time of any co-development or similar work by others. However, other persons have co-discovered this same type of field (which I call Gravity "B") earlier than I did, and this type of field is now semi-widely known as a "gravitomagnetic" field.
It is well known that protons and neutrons are made of 3 quarks, where a quark is considered to be a lowest-order constituent particle. Therefore, protons and neutrons and atomic nuclei should also possess a strong Gravity "B" field as well as the electron. I found the local magnitude of a particle's Gravity "B" field must be incredibly strong, as per General Relativity, it takes quite a large amount of confined energy to have an equivalent effective measurable mass, according to the commonly known formula E=M*c*c. Therefore, by inverting, equivalent mass equals energy divided by the speed of light squared. So it takes an extremely large energy field to "weigh" as much as even a small amount of mass, such as electrons and quarks. The coils of wire are used to supply the above mentioned high-frequency electromagnetic field. Each coil is connected to a separate source of high-frequency current (or voltage) (typically in the microwave frequency region of the spectrum).
.....
Each source should be preferably sinusoidal, and for optimal results, one source should be 90 degrees (ninety degrees) out of phase with the other source (as measured right at the loops). The loops must have a minimal number of turns, since microwave frequencies are used. This optimal (and approximate) 90 degree phase difference is a primary part of this patent specification and claims. Other phase shifts could be used, but would result in a drastically reduced net force produced by the overall system. There is a calculation one can perform to find the optimum spacing for the gap between the two cylinders as a function of the frequency of the radio frequency sources (not shown).
Richard Crandall, 2001. All taken from :
"Invention Disclosure Document", dated Feb. 22, 2001.