Projective geometry, Lagrangian subspaces, and twistor theory

1979 ◽  
Vol 18 (1) ◽  
pp. 9-15
Author(s):  
P. Campbell

Author(s):  
S. A. Huggett ◽  
K. P. Tod
Keyword(s):  


Author(s):  
Pierre Samuel
Keyword(s):  




Philosophies ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 55
Author(s):  
Rainer E. Zimmermann

Given the idea that Life as we know it is nothing but a special form of a generically underlying dynamical structure within the physical Universe, we try to introduce a concept of Life that is not only derived from first principles of fundamental physics, but also metaphysically based on philosophical assumptions about the foundations of the world. After clarifying the terminology somewhat, especially with a view to differentiating reality from modality, we give an example for a mathematical representation of what the substance of reality (in the traditional sense of metaphysics) could actually mean today, discussing twistor theory as an example. We then concentrate on the points of structural emergence by discussing the emergence of dynamical systems and of Life as we know it, respectively. Some further consequences as they relate to meaning are discussed in the end.



1993 ◽  
Vol 54 (2) ◽  
pp. 191-206 ◽  
Author(s):  
K.C. Gupta ◽  
Suryansu Ray
Keyword(s):  


Author(s):  
Tilman Sauer ◽  
Tobias Schütz

AbstractWe discuss Einstein’s knowledge of projective geometry. We show that two pages of Einstein’s Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years. By this correspondence, we show that the sketches are all related to a common theme, the discussion of involution in a projective geometry setting with particular emphasis on the infinite point. We offer a conjecture as to the probable purpose of these geometric considerations.





1969 ◽  
Vol 76 (10) ◽  
pp. 1168
Author(s):  
Josephine H. Chanler ◽  
Robert J. Bumcrot
Keyword(s):  


1991 ◽  
Vol 290 (1) ◽  
pp. 441-462 ◽  
Author(s):  
Mark McConnell


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