Convexity and the Euclidean Metric of Space-Time
نویسندگان
چکیده
منابع مشابه
Convexity and the Euclidean Metric of Space-Time
We address the reasons why the “Wick-rotated”, positive-definite, space-time metric obeys the Pythagorean theorem. An answer is proposed based on the convexity and smoothness properties of the functional spaces purporting to provide the kinematic framework of approaches to quantum gravity. We employ moduli of convexity and smoothness which are eventually extremized by Hilbert spaces. We point o...
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ژورنال
عنوان ژورنال: Universe
سال: 2017
ISSN: 2218-1997
DOI: 10.3390/universe3010008