Projective Geometry and the Law of Mass Action

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081731%3A_____%2F09%3A00335097" target="_blank" >RIV/68081731:_____/09:00335097 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Projective Geometry and the Law of Mass Action
Original language description
A new law of nature asserts that chemical equilibria and chemical kinetics are governed by fundamental principles of projective geometry. The equilibrium constans of chemical reactions are the invariants of projective geometry in disguise. Chemical reactions may geometrically be represented by incidence structures, which are preserved under projective transformations. Theorems of Ceva, Menelaus, and Carnot for triangles and n-gons represent the chemical equilibria, while Routh's theorem represents non-equilibria. Intrinsically projective Riccati's differential equation, being also generic to many other equations of mathematical physics, governs parametric dependence of the equilibrium constants. The theory offers tangible geometrizations and generalizations to the Law of Mass Action, including a new projective-geometric approach to soft computing of very complex problems.
Czech name
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Czech description
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Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mendel 2009 - 15th International Conference on Soft Computing
ISBN
978-80-214-3884-2
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
Brno University of Technology
Place of publication
Brno
Event location
Brno
Event date
Jun 24, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000273029500039

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