scholarly journals Presentation of the Dossier ‘On the Euclidian Geometry’

2016 ◽  
Vol 16 (1) ◽  
pp. 61-64
Keyword(s):  
2021 ◽  
Author(s):  
Peter Greenfield

Abstract We introduce an algorithmic approach to Euclidian geometry6 which provides an experimental framework involving Euclidean constructions and deconstructions thus enabling a foundation2,12 for testing Everett’s interpretation of quantum theory4,5. We contend that the cosmos be modelled as the advance in space time until some event occurs leading to the termination of some phenomenon, in the sense of the algorithmic halting problem14. Our approach involves iterative geometrical constructions using Euclid’s proposition 3 which are equivalent to a Turing machine. Our conjecture is that the postulates of Euclidean geometry, for which we require particular extensions to postulates 2 and 310, are physical principles, and also that our algorithmic approach is identical to quantum theory4,5. We suggest that our conjecture concerning quantum theory and the second law of thermodynamics is that they are mutually dependent, this too being a principle. We suggest a unifying theory for gravitation and sub atomic particles2,7,11,12. We propose a new experiment: the investigation of anomalies in astronomical observations with as example the phenomenon of black holes disappearing when galaxies collide with or without gravitational wave emission8.


Philosophy ◽  
1933 ◽  
Vol 8 (29) ◽  
pp. 14-29 ◽  
Author(s):  
F. A. Lindemann

Recent advances in physics render a reconsideration of the Place of Mathematics in the Interpretation of the Universe particularly timely. On the one hand, we have the introduction of non-euclidian geometry, which has given rise to much controversy informed or otherwise; on the other hand, we find mysterious forms of mathematics, invented to cope with the quantum difficulties, which so far have escaped metaphysical investigation or criticism. It would seem most desirable that these modes of interpreting reality should be examined from the broader philosophical point of view.


Geometry ◽  
2002 ◽  
pp. 195-210
Author(s):  
Audun Holme
Keyword(s):  

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