HERTZSPRUNG

Ejnar Hertzsprung was a PhD graduate from Wilhelm Ostwald. Hertzsprung was a chemist and an astronomer somehow. Hertzsprung was maybe the first astronomer to identify stars by their spectral emission lines. He classified stars by their spectral type. Today's planet hunters use the spectral emission lines and bands of the water molecule to determine if planets they have discovered contain water vapor. It is unusual and unexpected that Ostwald would be thesis advisor to an astronomer, but the MGP reveals that it happened. Hertzsprung had several equally important astronomer PhD students after 1900, and on in to the WWI and WWII periods. He was responsible for identifying and classifying many types of stars and astronomical objects. Hertzsprung's career extended from about 1900 to the middle of the 20th century. The story of Hertzsprung and Ostwald is an unusual twist to the life of the famous chemist Ostwald.

A.T. BALABAN

Nearly every scientist has an academic genealogy. Newton has an academic genealogy and Galileo has an academic genealogy. Most academic genealogies emerge from Europe, particularly from Italy and Greece. Oliver Heaviside, the British mathematician and scientist, was self taught and had no academic genealogy. At some point. in 2015 or so, I asked A.T. Balaban why he did not have his name in the MGP...in an email sent to him. He responded to me saying he was descended from Kekule and he sent me a complicated tree diagram in a PDF which he claimed was his genealogy. The PDF did not have Kekule's name in it and instead it was a really confusing tree-like diagram showing a lot of names I had never heard of before as chemists in his academic genealogy. I came away from the experience as confused and still wondering why he was not listed in the MGP...he never answered me on that question. I figured that Balaban has over 65 articles he co-authored in Mathematical Reviews (MR) and that he would want to share that accomplishment with the World. My question to you in all of this story is, "What exactly is A.T. Balaban's academic background?"

WAVE MECHANICAL TRINITY

The matter wave-light wave hypothesis is a valid quantum theory formula that I published (with E.A. Castro as symbolic senior author) in 2007. The (a) Einstein photon hypothesis of 1905, and the (b) de Broglie matter wave hypothesis of 1924 and the (c) Bucknum matter wave-light wave hypothesis of 2007...they all 3 can be interconnected with each other as providing the foundations or cornerstones of wave mechanics. The formulas represent a triad or trinity of equations. My derivation was ridiculously simple but the resulting formula may be just as important as the other 2 historic wave mechanical formulas. The matter wave-light wave principle may be the basis for constructing a matter wave laser or even a tunable matter wave laser. The formula and the accompanying paper just came out of my head spontaneously, in about 2006 some time, during a few days in a few computer sessions at Carlsbad Dove Library (a very beautiful library) in Carlsbad, CA off El Camino Real in Northern San Diego County.

ORGANIZING the INTERNET

The internet should be organized in to 3 "channels" that one can choose from to do a search. The 3 "channels" would be:

(a) internet reference

(b) internet commercial

(c) internet spam

All references pages should be grouped together into 1 channel including professional reference personal pages...like faculty pages and Wikipedia pages and ORCID pages and pages from publishers of books and articles and library pages etc.

Commercial pages would be any pages where you can use a credit card to buy something...or banking information pages etc.

Spam would be LinkedIn and FaceBook etc pages and internet spam informational pages etc.

PURE MATHEMATICS

Pure mathematics is something I cannot professionally speak on, as I am a very simple-minded applied mathematician. Pure math involves largely proofs with some accompanying manipulations of symbols and equations. Applied math deals mostly with symbol manipulations within equations. Applied math is usually used in physics contexts and engineering contexts, and increasingly now is employed in chemistry and biology etc. applications. The dream of the applied mathematician is always to aspire to achieve results at an equal status with pure mathematics, with its precise language worded in to mathematical reasoning at the highest level. Pure mathematics is perhaps the highest form of beauty of human expression, and human creation, for correct proofs have eternal value and they represent eternally true statements that underlie the foundations of the allied fields of physics and chemistry and biology etc. The famous mathematician Perelman was quite eccentric, as pure mathematicians tend to be, and he did his greatest work on proving (a) the Thurston "Geometrization Conjecture" and followed this by proving the over 100 year old (b) Poincare conjecture by the extension of the results in (a). His eccentric demeanor led him to work alone in isolation on these very important unsolved problems in pure mathematics. Earlier in his career Perelman often collaborated on projects and he had several important proof-type results from this early period then as well. Perelman's story is one of the rare examples of professional and highly technical work in the mathematical sciences, not being performed in a conventional way at a conventional University setting or Institute setting etc....where Perelman dropped out from activity with the local Institute he had belonged to and chose to work in isolation in an apartment that his mother owned. It reminds one of Einstein's miracle year of 1905, about 100 years before Perelman's work was carried out, in which Einstein did his miraculous work while working as a patent examiner at the Swiss Patent Office in Bern. Finally, in closing, I note that one of William Thurston's colleagues at Cornell University, named Allen Hatcher, was the mathematician that moved me the most in to becoming an applied mathematician, after taking his 400 level course called "Applicable Math I" in Fall, 1990.

CHEMICAL GRAPH THEORY

I write on behalf of "chemical graph theory", as a research and teaching tool etc., to request that RH and Jon Clardy advocate for it and recommend to the American Chemical Society that they (the ACS) formally recognize "chemical graph theory", as a sub-Division of the Division of Theoretical & Computational Chemistry, within the ACS. Chemical Graph Theory is now increasingly used in biological chemistry applications, including in the design of medicines, to great effect I believe. Milan Randic and Doug Klein and Ivan Gutman etc. have devoted their careers to inventing and developing chemical graph theory, for example, and they should be recognized for this competent work by a formal ACS recognition and designation as a Division or sub-Division of the ACS. Chemical Graph Theory can be looked upon as yet another form of iconographic reasoning...iconography has a long history in Chemistry from the time of (1) Kekule to (2) the Lewis dot formulas invented by G.N. Lewis on to (3) RH's use of iconographic orbitals employed to great effect to reason about chemical reactions. I believe that molecules may eventually be profitably  "mapped", by methods of chemical graph theory, using formulas developed from the mathematician Ludwig Schlaefli from the 19th century. Such mapping of molecules is analogous to the iconography of Mendeleev's mapping of atoms and atomic structure in his famous "Periodic Table" construction.

HEAT-WORK EQUIVALENCE

The SI unit of energy is the Joule. A Joule equals a Newton times a meter. In thermodynamics there is the observation that one Joule of heat energy produces less than one Joule of work energy, as P-V work of an expanding gas in a piston-cylinder type of P-V work system. The observed deficit is attributed to entropy in the thermodynamic system in question. The ratio of work energy produced, to heat energy input in to a closed system, is known in thermodynamics as the so-called "mechanical equivalent of heat". The mechanical equivalent of heat is a dimensionless quantity that comes out of thermodynamics and it has the same value in any consistent set of units employed in its calculation. As such a dimensionless physical number, the mechanical equivalent of heat may potentially be amenable to factorization in to a product or composite ratio involving the more familiar mathematical constants such a "e" the base of natural logarithms, and "pi" the familiar circular constant, and "phi" the golden ratio...or some other mathematical constants. I intend to look for such a mathematical basis for the mechanical equivalent of heat some time in the future.