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In set theory, the core model is a definable inner model of the universe of all sets. Even though set theorists refer to "the core model", it is not a uniquely identified mathematical object. Rather, it is a class of inner models that under the right set-theoretic assumptions have very special properties, most notably covering properties.
A wealth of new information about Earth’s inner core has surfaced in recent months. Scientists now have evidence that the planet’s innermost layer is changing shape.
The innermost inner core model proposes a distinct laterally homogeneous anisotropic sphere within the inner core. [1]Estimates differ on the size of the innermost core. Dziewonski and Ishii think a radius of 300 km. [1] Trampert et al. propose a different model, with a radius of 400 km
In the foundations of mathematics, a covering lemma is used to prove that the non-existence of certain large cardinals leads to the existence of a canonical inner model, called the core model, that is, in a sense, maximal and approximates the structure of the von Neumann universe V. A covering lemma asserts that under some particular anti-large ...
The findings open up new ways to investigate the inner core, according to lead author Thanh-Son Phạm. ANU also believes the innermost inner core hints at a major event in Earth's past that had a ...
"The Webb results can be interpreted to suggest there may be a need to revise our model of the universe, although it is very difficult to pinpoint what this is at the moment," said Siyang Li, a ...
The Friedmann–Lemaître–Robertson–Walker (FLRW) model using Friedmann equations is commonly used to model the universe. The FLRW model provides a curvature of the universe based on the mathematics of fluid dynamics, that is, modeling the matter within the universe as a perfect fluid. Although stars and structures of mass can be introduced ...
In this model giant planet formation is divided into two stages: a) accretion of a core of approximately 10 M E and b) accretion of gas from the protoplanetary disk. [2] [22] [67] Either method may also lead to the creation of brown dwarfs. [31] [68] Searches as of 2011 have found that core accretion is likely the dominant formation mechanism. [68]