Here are five studies I've been working on in 2024. Hope to provide more explanation of the charts later.
H-Bomb Study, based on Oppenheimer book
Steinhardt Dream/Expedition study, based on the book The Second Kind of Impossible
Tuesday, December 31, 2024
Five Charts from 2024
Saturday, April 15, 2023
Coalition, Puzzle Solving, and Drama Triangle Cycling
This poster covers a presentation at the Indiana Sectional Meeting of the MAA (Math Association of America) at Indiana University Kokomo, IN on April 1, 2023 by Dennis Glenn Collins, retired math prof. from UPR-Mayaguez. 1519 S. State Rd. 119, Apt. 2, Winamac, IN 46996-8550.
In a 1981 talk "RT" Robert Thomas Jones (May 28, 1910-Aug 11, 1999) cites Gerald O'Neill as telling how a scientist brought to life from 200 years ago would be completely bewildered by what he saw, whereas a politician would recognize perfectly well the kind of thing that was going on in politics and the general conduct of human affairs . . . He ends with the conclusion that
the idea of progress, in the form responsible for the revolution in science, must somehow find its way into political science. p. 255 2005 vol 86 Memoirs of the National Academy of Sciences.
GOAL
p. 174 2019 Chapter 33 "Toward Transformity of Christian or other Advanced Religion Follower" by David Scienceman and Dennis Collins, Emergy Synthesis 10 unpublished manuscript Gainesville, FL
The goal of a "moral code weather equation" would be to have an equation, similar to equations which predict the weather, say velocity field or wind velocity . . . . A typical weather equation is the following for the rate of change of velocity U with respect to time t: dU/dt = . . . .
The simplest case would be dU/dt = 0 (which implies by integration U = constant wind or velocity, say a "front" coming through). This case seems to happen in Drama Triangle Cycling.
CORRECTION The blog post "Drama Triangle Cycling--4 Cases" by Dennis Glenn Collins has a circle diagram at upper left, which is supposed to have row vectors from the chart below. However some "6's" were incorrectly replaced by "4's." The original poster from MAA Oct 2022 Rose-Hulman did not have this mistake. Thus (4.5,.4,4.5) should be (6.5,.4,6.5).
The question is how could constant velocity occur.
THE MIGHTY SIMPLE MATH
We have the 3 members of the Triumvirate circling around the equilibrium SIL (Status In Life) value 4.5. Each has a balance, where w = angular velocity
centrifugal force out = government spring force in
m w^2 R = k R
where R is distance from 4.5. If R is not 0 or the system is not at equilibrium, then we can cancel R to get m w^2 = k or w^2 = k/m or w= sq root(k/m) or period T = 2 Pi/w = 2 Pi sq root(m/k). Thus T is a constant independent of R.
Here centrifugal force out must be interpreted relative to SIL. For example if the member is near SIL 0 out would be even smaller, whereas if the member is near maximum, then SIL out would be even larger.
This result means Drama Triangle Cycling occurs at a constant radians per year, say 30 degrees (= 360/12) in the case of Julius Caesar.
The cycling is basically a three-part round in music. A common question is what about 4 members versus 3. The Rose-Hulman poster had a 4-member cycling in 12 years which exactly matches the 4-part "Frere Jacques" round, although with 3 steps for 8 beats. There is a question if this pattern occurs in politics.
copyright 2023 Dennis Glenn Collins
Wednesday, November 23, 2022
Tuesday, September 6, 2022
Drama Triangle Cycling of WWII Big Three
On Sept 14, 2019 Dennis Collins presented a paper "Drama Triangle Cycling of Julius Caesar Triumvirate by Newton Dynamics" at the AMS (American Math Society) Sectional Meeting #1150-81-546 in Madison, WI and also a similar talk at an MAA (Math Assoc of America) Meeting at Wabash College on Oct 26, 2019 and at the Wolfram Tech Conference on Oct 29, 2019. An astounding fact is that the same chart works to describe the Drama Triangle Cycling of the World War II Big Three with only a re-labeling of columns and change of period from 12 years to 30 years. The latter 2.5 factor may be partially explained by the increase of life expectancy from around 33 years to 63 years from Roman times to 1945.
Year bce Year ce
aggressor/Caesar victim/Crassus Rescuer/Pompey
rescuer/Churchill victim/FDR aggressor/Stalin
1929 8.5
1931.5 8.0
1934 6.5
55 1936.5 .9 4.5 8.0
54 1939 2.4 2.4 8.5
53 1941.5 4.5 .9 8.0
52 1944 6.5 .4 6.5
51 1946.5 8.0 .9 4.5
50 1949 8.5 2.4 2.4
49 1951.5 8.0 4.5 .9
48 1954 6.5 6.5 .4
47 1956.5 4.5 8.0 .9
46 1959 2.4 8.5 2.4
45 1961.5 .9 8.0 4.5
44 1964 .4 6.5 6.5
Here chart values are SIL (Status-in-Life from 0 death or near death to 4.5 equilibrium to 9.0 very powerful, so that FDR dies in 1945, Stalin in 1953, and Churchill in 1965 versus Crassus in 53, Pompey in 48, and Caesar in 44 bce. The Caesar ellipse goes counter-clockwise whereas the WWII ellipse goes clockwise. copyright 2022 Dennis Glenn Collins
Subscribe to:
Posts (Atom)