Kazuo Kondo (1911-2001) was Chair of the Department of Mathematical Engineering at the University of Tokyo, Japan. Over a period of 50 years, he and a few colleagues wrote and published a voluminous series of papers and monographs on the applications of analytical geometry within a diverse range of subjects in the natural sciences. Inspired by Otto Fischer's attempt at a quaternionic unified theory in the late 1950's he adopted the mathematics of the revered Akitsugu Kawaguchi to produce his own speculative unified theory. The theory appears to successfully apply Kawaguchi's mathematics to the full range of natural phenomena, from the structure of fundamental particles to the geometry of living beings. The theories are testable and falsifiable. Kondo and his theories are now almost completely unknown and this paper serves as the barest introduction to his work
Deep Dive into The Natural Philosophy of Kazuo Kondo.
Kazuo Kondo (1911-2001) was Chair of the Department of Mathematical Engineering at the University of Tokyo, Japan. Over a period of 50 years, he and a few colleagues wrote and published a voluminous series of papers and monographs on the applications of analytical geometry within a diverse range of subjects in the natural sciences. Inspired by Otto Fischer’s attempt at a quaternionic unified theory in the late 1950’s he adopted the mathematics of the revered Akitsugu Kawaguchi to produce his own speculative unified theory. The theory appears to successfully apply Kawaguchi’s mathematics to the full range of natural phenomena, from the structure of fundamental particles to the geometry of living beings. The theories are testable and falsifiable. Kondo and his theories are now almost completely unknown and this paper serves as the barest introduction to his work
Kondo was a deeply spiritual person, which we can readily deduce from the occasional Buddhist or Shintoist footnote in his Post-RAAG work and by the curious symbol of Figure 3 which is embossed onto the front and back covers of the Research Association for Applied Geometry (RAAG) memoirs [Kondo, K., 1955[Kondo, K., , 1958[Kondo, K., , 1962[Kondo, K., , 1968]]. This symbol also appears on the back cover of his last but one Post-RAAG monograph. Note that, for brevity, the post-RAAG monographs are referenced herein as [K001-K358]. The introduction to the first volume of the RAAG memoirs contains a translation of the famous Platonian slogan in Greek around the outer circumference "God ever Geometrises".
The significance of the four inner characters has not yet been deciphered. The general form of the diagram closely matches an electrical motor configuration diagram which appears in Volume I (p209) of the RAAG memoirs. “The RAAG appeared once to be a sanctuary where only true worshippers of God dared to enter. With an external prosperity it became gradually impregnated with paganism. Those who had once been angels having fallen, the Paradise was about to be lost, the spirit of the founding fading. A fire was lit in May 1973, for the angel’s wingbeats to revive from the vestige as a phoenix plumed for a reparation campaign”
It must be made very clear at the outset that Kondo’s spirituality did not directly interfere with his work, though it clearly guided him. He had a dry sense of humour too, as we might also judge from the occasional footnote. Kondo was fluent in English and Japanese and had a varied and often impressive written command of other languages and character sets.
. This biographical information regarding Professor Kondo was kindly provided by: Tomoaki Kawaguchi, a professor of mathematics at Mejiro University, Japan [Kawaguchi T., 2004]; Professor Kojiro Kobayashi, SOKA University, Tokyo and Professor Laxmi Chandra Jain of Jabalpur, India.
Copies of his 40 year correspondence with Professor Jain has also been graciously provided. See the Supplementary Materials section for an index and information regarding access to these sources.
Kondo graduated from the Department of Aeronautical Engineering, Tokyo Imperial University in the early 1930’s. He then published some related early work in the mid 1930’s [Kondo, K., 1935] which was well received. This work was interrupted by the Second World War and he was reluctantly forced to work in other academic domains..
Kondo established in 1954 and then organised until 1973, the Research Association for Applied Geometry (RAAG). The purpose of RAAG “…is to further the essential advancement of Engineering and physical sciences by the Unifying Researches of the Basic Problems through the medium of Geometry and other Mathematical Thought and Training” [RAAG, 1971] RAAG started as a 3 year government funded research project. There were initially 16 collaborators. They published an irregular series of research notes in the period 1951-1973 outlining their initial thoughts. The RAAG research notes [Oyo Kikaqaku, 1951-1973], amounting to 200 in all, are rather untidy and were used as an informal communication medium. The print run amounted to 280 copies suggesting that the original group grew, and that there was academic interest in the work outside of the group itself. The RAAG research notes ceased upon Kondo’s retirement from the University of Tokyo in 1971.
Kondo was an early contributor to Matrix and Tensor Quarterly [Kondo, K., Amari, S., 1963] where he met or came into contact with its British founding editor Austen Stigant, a retired consulting engineer. Stigant provided Kondo with valuable assistance in the editing of the RAAG memoirs.
The 1971 RAAG list of members shows that there were only ever 276 members of RAAG (of whom Kondo is listed as member number 1). In 1971 there were two honorary members, Professor Akitsugu Kawaguchi and Mr Austen Stigant plus two Patron members Nishi Trading Company Ltd. and Kanto Auto Works Ltd. 204 individuals were listed as current members, suggesting an organisation in good membership health.
The RAAG research notes were substantially improved, collected together, peer reviewed and published commercially as the RAAG Memoirs in four handsome volumes during the period 1955-1968. They are occasionally advertised on Internet Bookshops -the author being the owner of A.J. Good’s (RAAG member 144) copy of Volume IV. There are 116 papers in 2500 pages covering initially 5 research areas, later expanding to 10. All four volumes were edited by Kondo and 53 (45%) of the papers were also authored by Kondo Kondo’s most significant early RAAG work was in Elasticity, Yielding and Dislocation. He discovered in 1952 the relation between dislocation density and Cartan’s torsion using differential geometry and noted that the propogation of dislocation in crystals is relativistic [Kondo, K., 1955a]. This work was progressed much further
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