Not So Plain Geometry

I am a retired maintenance mechanic/supervisor. In 1956 I was a 6th grader and harbored a beginning question as to where am I? I was aware of Earth as home and the rest of our solar group moving about our sun. At this time in my life Neil Bohr’s electrons as points were prevalent in icon symbolism such as the United States ATOMIC ENERGY COMMISION. Electrons as points also happened to be used by Sears & Roebuck, where my father worked as a symbol of modernity where the company played with the initial S & R flourishing beginning script to look like electrons with motion trails zipping about a center. So this outside influence of my sensory perception of space led me to wonder if perhaps the planets of the solar system also held orbit around the sun in such random fashion. I was too young to form the question to my wonderful 6^th grade teacher, a Mrs. Spellman, but found the answer looking up solar system in the community library encyclopedia “World Book”.  A long intro but validates my claim to a lifetime of curiosity about Space-Time, and geometry of g-field motion especially growing up in NJ where Professor Einstein and ‘curved space’ happened to be just down the road in Princeton. No needs to go to later 1960’s and explain the influence of newly discovered Radio Astronomy, which would do so much in bringing to the public eye Big-Bang, Quasars, Pulsars, along with space age rocketry. Today, I change the price structure of my papers. Most of what is in Lexington ($10) can be found for free in my blog site SBG.info, though more informative using Mathematica .nb code to write out the lecture. However San Diego ($15) is groundbreaking in separating and explaining linearity of curved space vectors and unit circle ability to accommodate physical properties such as g-field potential. Hartford ($25) brings inverse square law to plane geometry and Baltimore ($25) brings Motive Curves of Galileo, a far more analytic description, using plane and analytic geometry a CSDA has to offer of planetary motion of our group about our sun then the 400 year old Keplerian perception. It is truly a return to the philosophical inquiry of the beginning pursuits of the likes of Newton, Galileo, and Kepler. It is also for the world populace, the average personal curiosity about where we are.  Alexander

I’m almost there with the publication of my last paper (Baltimore 2014JMM). I am really grateful to the JMM Linear Algebra organizers for the opportunity to speak a Contributed Paper Session. Reality tells me that this will be as good as it gets. Maybe this is a good thing, because it provides encouragement to take advantage of internet freedom and post my ground breaking research in the geometry of curved space (scalar and vector) analytics. I post my parametric geometric constructions for all to see. This is my work and research and now that I have finished a complete exploratory of plane/analytic discovery of g-field mechanics; I can move on to my current pursuits of the two forces left, nuclear strong and weak. The weak force is about time and decay. I have been working extensively on a CSDA diagram of the strong force holding hydrogen and helium together. I always start with the simplest form imaginable. What better candidate the H as predominant (75%?) of known universe! However, if we are to geometrically construct atomic level force fields I need consider He to find out where to start constructing neutron engagement. Alexander

Alexander

Hartford takes my CSDA and plane geometry to the next level as far as curved space is concerned. We will do it all with Euclid’s Perpendicular Divisor. I am the first to use analytic plane geometry in exploration and construction of Sir Isaac Newton’s Inverse Square Law. Has to happen if we are to use these tools to explore energy curves of field space. Alex

I have posted my San Diego paper. San Diego is a paper taking the Lexington presentation to the next level where reading fundamental g-field space curves becomes available for everyone posessing a computer and computer algebra system. Significant steps are the discovery of a unit parabola co-operative construction of space curves with the very familiar unit circle as independent controller of a CSDA (curved space division assembly), and propensity of an independent curve to acquire physical property of sound waves and meter propogation of wave energy held close to surface acceleration curve earth using a dependent curve loci.

Alexander

alexander@sandboxgeometry.com

Hello world; I have launched my private journal within my website sandboxgeometry.org. I post 4 papers that will cover initial space curve exploration using parametric geometry exploration I have collected over the last 25 years. These four papers are essential to construct and use a CURVED SPACE DIVISION ASSEMBLY a plane geometry tool I invented to bring traditional linear analytics to vector energy properties of space curves. Basically, a means to construct plane geometry function capability to move between kinetic energy of planetary motion and momentum.

My first paper is up and I will inform SANDBOXGEOMETRY readers as I post these papers in chronological order of presentation.

Alexander

What is available on my sites for read and download is now 2 years old. I am retired and will accept speaking engagements on newest application and utility of CSDA analytic geometry concerning central force field phenomena. Send request for information to my web site and I will return fee and requirement information. Alexander

I am fortunate to be given the opportunity of a ‘Contributed Paper Session’. Means another 5 minutes beyond ‘General Paper Session’.

JMM 2014 abstract submission

I hope to meet like minded people there having same education goals

JMM 2014 BookProposal

I will honor all requests for Word Document showing slide deck and explanatory sent to me at alexander@sandboxgeometry.com

alexander

Wolfram is not interested at this time in a joint venture for entry level dedicated math teaching course for 8th and 10th grade young people. I post my letter. Hope one day to hook up with someone with finances to help get this (Curved Space Division Assembly) off the ground.

My end pursuit is about a Plane Geometry Unified Field Description. Got the g-field down, and start for strong and weak nuclear (study of joining two and only two atoms). This progress I will not share on the net! This is to be my bread and butter.

Professor Einstein presented Special Relativity 1905 and General Relativity 1915. A lot has changed in our world since then, but not these guys (relativity). My presentation on fields is for the general interest public (think Popular Science and Mechanics). The professor spent his remaining days searching for a Unified Field Theory. I can’t handle heavy math and instead like to draw picture using parametric geometry to study force application using lines. Much as an 8th grade fulcrum problem. Hence I pursue a Unified Field Geometry.

Hope to see and talk with someone at JMM 2014. I’m movin’ on up and for first time will talk in a contributed paper session (15 minutes). I post abstract and acceptance.

Adrianna and Jared  JMM 2014 abstract submission

COPYRIGHT ORIGINAL GEOMETRY BY Alexander:

Sand Box Geometry LLC, a company dedicated to utility of Ancient Greek Geometry in pursuing exploration and discovery of 21st century central force field curves.

Didn’t meet any one at Hartford. Maybe in Champaign some one will say hello. If not there then please do so at JMM meet in Baltimore January 2014. I will talk the same stuff at both events. This abstract is turning out to be my favorite subject. Galileo and his circular g-field energy curves as opposed to Kepler elliptical orbit curves. I post my Tech Conference abstract and tentative JMM schedule. Someone please say hello!

Abstract for Mathematica tech conference Oct 2013

JMM meet Jan2013

Presenting another paper. This time I will talk about plane geometry division. I feel it will bring an explanation to a 9th grade question I entertained many, many years ago. My first geometry course was 9th grade. I hated it. However Euclid did get one construction into my head which I never forgot. How to construct a perpendicular divisor at midpoint of a line.

I could see using a Cartesian system to erect a rectangle or square for a multiplication table. I could see addition of one line to another. I could see subtraction of one line from another. I could not see division of a line by integer where result will be equal distribution so parts sum the whole without remainder. But the worst HS problem my young mind wrestled with was I could not see what and how to use plane geometry to construct a ‘inverse square’ property.

Once I got past problematic improvements on Euclid’s divisor, I embraced the beauty of ‘inverse square’ plane geometry constructions. I post my My schedule mathfest 2013 Hartford schedule. Again, I hope to meet someone there who may or may not have the same interest I pursue.

COPYRIGHT ORIGINAL GEOMETRY BY Alexander:

Sand Box Geometry LLC, a company dedicated to utility of Ancient Greek Geometry in pursuing exploration and discovery of Central Force Field Curves.