Letters of Helen Lynn

Visits to A Friend #1 A Biological Approach to Unified Theory Lynniann Geometry, pure and applied Beautiful Minnesota poetry 1 Beautiful Minnesota poetry 2 Beautiful Minnesota poetry 3 Beautiful Minnesota poetry 4 Origin of the Universe, 1980 Visits to A Friend #2 Visits to A Friend #3

Lynniann Geometry, being a pure and applied geometry of physics leading into biology and evolution Previous material is Circular Geometry by Lynn Fisher, 1976, 1990, A personal copy may be made.

Ask can you imagine a physical system of E.M.G, where E is electricity, M is magnetism, and G is gravitation. Imagine that E is a very small globe that is negative charge externally or outside, but positively charged inside, and has a layer between that vibrates, and is like contradiction, that is, 1 + (-1) = 0, but, also, like paradox, that is, 1/1 = 1, that is, existence. (Consider the reverse charges for a positron)

Ask if we get positive charge from -1/-1 = +1, but get negative charge from +1/-1 = -1? (I'm using physical intuition and mathematics.) Then, positive and negative (values) transform into North and South poles of a bar magnet that has straight line between poles. Ask if straight line between magnetic poles leads to a theory of generation of motion?

Ask if the equation explaining electricity and magnetism, that is, E.M.G or E x M = G, and M.E.G or M.E = G is inverse or inverse multiplication set equal to G or gravitation? Then, my physical intuition tells me, there should be further equations that are real, that is, M.E.G and, G.M.E or G/M = E, G.E.M, E.G.1.M, M.G.1.E, and the first equation or E.M.G. Ask does this make sense? If so, Does it evolve to the biological fact that there are five fingers on a hand (include the thumb). (There are six transformations here)

Please note, the equations E.M.G and M.E.G or M x E = G are equal to each other, or G. That makes five equations (or transformations having unity) It is hypothetical, here, that the transformations lead to evolution of the human hand. Ask if the thumb is represented by M.E.G = E.M.G

Further notes, The number of transformations is six or 3! = 6, that is, three factorial equals six, but two of the equations are equal to each other so there are five transformations. Would you verify the work? Helen Lynn, 8 September 2007. Minneapolis, Minnesota USA

Ask Can a practical geometry be constructed from A circle. Let us begin by making a circle w/ the forefinger or index finger and the thumb. This circle can be gradually contracted to approach a geometrical point. It can be imagined that the circle ever approaches a point-having motion-but never attains the point. continue, We can, also, begin w/ the circle made by our forefinger and thumb and expand it. If it expands along a straight line of course it becomes a plane. The circle can, also, generate in three dimensions. continue, Let us make a globe or sphere w/ two poles or holes. We generate the globe by moving the circle along and at right angles to a prearranged or given circle. The circle, then expands and then contracts to orm a globe with two poles or holes. It is possible that this can be defined as an electric sphere, continue, We can, also, make or construct a magnetic sphere. The method is similar. We move the circle from the origin to the left and describe a cylinder. We then turn the circle in an arc again and reverse the direction moving twice as far to the right. Turning the circle in an arc again we make it smaller and move to the left and return to the origin. On a flat surface this looks like two rubber bands laid parallel to each other. Thus we have described a magnetic sphere or globe. continue, Ask is there a gravitational sphere like the above spheres? Well, my intuition, my imagination, my invention tell me that such a sphere is closed for a gravitational body at rest. It is possible that everything is in motion, however, and that the gravitational body has poles or holes. But poles suggest a straight line between them. I think this system leads to a theory of motion using/employing the poles for straight line motion. continue, Ask If it may be valid or sound that a body in motion has gravitational poles, and a body generating gravitational poles is in motion. Ask If electrical and magnetic spheres having poles may, also, possess a form of motion or of direction. continue, Ask If equation E.M.G like 2.4.8 is valid? E.M = M.E appears to represent oscillating motion, that is, wave motion. Ask Can you verify? Copyright 1990 Lynn H Fisher, earlier work Copyright 1976 Lynn H Fisher. Addenda Copyright 2002 LHF. continue, Page Two, By intuition, imagination, and invention I can conceive that an electron which is negative outside may be positive inside. I get the idea from magnetism which is divided into North and South poles. But the magnet is both separate, and together. This is called a paradox. It appears then that in an electron there may be a paradoxical middle separating, and connecting a supposed positive inside with a negative outside. If this system integrates well, and suggests simplicity, it should be accepted. It is also possible that at the core or center of an electron there is antigravitation. The question can be asked: Why doesn't gravitation collapse if it is only a force directed inside? The antigravitation may act for a very short distance. There may also be a paradoxical middle separating, and connecting gravitation with antigravitation. Paradox is complex of course because there are two parts. I expect you can imagine marriage. Well, a paradox is a married mind like a magnet. It is a middle. From the middle you move in course outside or inside. continue, I, also, ask another question which experiment may answer. I ask: Does a particle moving at or near the velocity of light have an inclination to separate into two new particles-one fore, and one aft. My intuition, my imagination, my invention suggest that such a particle would begin in the guise of a circle. Moving at near light velocity it becomes perhaps like a circle separating from a circle. Imagine then two circles intersecting in a middle. (This thought is original or independent creation with myself.) This may be like Einstein's concept of a flattened mass at near light velocity. The two new circles then have centers that may be like poles of focuses like a magnet. continue, I ask: As the circles separate: Do two new particles form? What is the nature of these particles? This is a geometrical model which I was inspired to invent about or before 1965. continue, Page Three, Attraction and Repulsion in Circular Geometry, (Lynniann Geometry), The mathematical professional already knows what a normal to a curve is. So I will explain for the layman. (or the student) A normal line be it known is at right angles or perpendicular to a tangent to a curve. (that is, a radius) Normals in this system are employed to explain direction of motion or inclination toward motion. continue, As a figure to represent repulsion, I have taken for use the hypocycloid. (illustration on original work) It appears that where the normals congregate or concentrate is the inclination toward motion. It appears, then, that if the curves face outward, (imagine parabola focus), the normals to the curve focus in general in the direction of the curve. I give as an illustration, the headlamps of a car. This is a parabola. But, this isn't an exact illustration because light rays move from the focus of the parabola, here, and are reflected forward from the parabola. Instead, in this system the normals to the curve-such as a parabola-congregate and perhaps intersect within the space surrounded by the curve. continue, Thus, in this system a circle or ellipse represents gravitation. As is easily perceived, the normals to the curve-the many radius or radii-meet at the center of the circle. This appears to be the inclination or direction of motion. If there be such a thing as antigravitation, perhaps, at the center of an electron, you can imagine, perhaps, it resembles a hypocycloid in three dimensions, and repels falling gravitation for a short distance. continue, It is possible by intuition and imagination to invent the idea or concept of repulsion for two electrons. Imagine two parabolas facing in opposite directions or away from each other. This appears as the direction of motion with the congregates of normals facing away from each other. (illustration in original work) This is an example of repulsion. continue, Page Four, Thus a circle or an ellipse whether of gravitational, electrical, or magnetic bodies (consider circle or ellipse, and in order, parabola, and then twin hyperbolas) appears to represent attraction or attractive forces. A hypocycloid, in the instance of magnetism, or antigravitation, appears to represent repulsive forces. It is possible that two parabolas both facing away represent repulsion for two electrons. I have, also, made the effort to consider for this system twin hyperbolas to represent magnetism. This idea appears to include paradox or both attraction and repulsion and appears new at this time. Perhaps, this idea can be worked out with benefit. continue, Thus, repulsion is attraction toward outside. Attraction is an inclination or direction toward the inside. This appears very clear and with simplicity and elegance. continue, (Following is my work on Like Charges or Poles Repel and Unlike Charges or Poles Attract) Something I came upon or invented and discovered like the birth of a baby about or before September 1965 should, I believe, be included here. I sat down at the dining room table of my home in Pierce County, Wisconsin near Ellsworth, again in September 1965. I took accounting of ideas and concepts I had invented and discovered prior to that time, and placed them on paper. I recall thinking, then, of the following which I thought very simple: It is a geometrical explanation of Like Charges or Poles Repel, and Unlike Charges or Poles Attract. If the product (+) represents repulsion, then the equation (-)x(-)=(+) represents Like Charges or Poles Repel. The similar reasoning holds true for (+)x(+)=(+). This appears to mean "inside" times "inside" equals "outside." (On the other hand) If the product (-) represents attraction and inside, then (+)x(-)=(-) represents Unlike Charges or Poles Attract and male and female attract-while men repel (men) or disagree, (that is competitive). continue, This is my work Copyright 1990 from Circular Geometry. My previous work on this subject is Introduction to Circular or Fischerian Geometry, 1976. The name Lynniann Geometry sounds correct to me. continue, Because of my work, Circular Geometry or Lynniann Geometry, I, Helen Lynn, am an American mathematician. addenda, 16 December 2007, HL, continue, I have been in process of giving my personal papers by Last Will to University of Minnesota at Twin Cities Campus, Manuscripts Division, Elmer L. Andersen Library, Minneapolis, Minnesota. My work at Andersen Library may be under name Lynn Fisher, (my first and last name at birth was Lynn Fischer). I am writing, at this time, under my literary name of Helen Lynn.