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Pregeometry
Translation of "pregeometry" into Russian
pregeometry
Noun
UK
/priːˈdʒiːəʊmətri/
US
/priˈdʒiɑːmətri/
pregeometry
pregeometries pl
The study of pregeometry is essential for understanding the foundations of geometry.
Изучение предгеометрии необходимо для понимания основ геометрии.
Definitions
pregeometry
Noun
UK
/priːˈdʒiːəʊmətri/
US
/priˈdʒiɑːmətri/
An abstract closure system satisfying the exchange property, equivalent to a matroid, used in model theory to formalize notions of dependence and dimension.
In model theory, the algebraic closure of a set often forms a pregeometry.
A hypothetical foundational framework proposed to underlie the conventional geometry of space-time at the Planck scale in certain approaches to quantum gravity.
Some quantum-gravity researchers start from a pregeometry rather than a smooth manifold to describe space-time.
pregeometry
Adjective
UK
/priːˈdʒiːəʊmətri/
US
/priˈdʒiɑːmətri/
Relating to or characteristic of pregeometry.
The pregeometry approach seeks to explain the emergence of space-time.