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On algebraically closed fields with a distinguished subfield
This paper is concerned with the model-theoretic study of pairs ( K, F ) where K is an algebraically closed field and F is a distinguished subfield of K ...
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Observability in the Univalent Universe
In this paper, we present a summary of Homotopy Type Theory with Voevodsky’s Univalent Axiom and discuss the existence of a universe of types...
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Soft Computing Artificial Intelligence of Schrödinger Time Independent Equation Arises in Wheeler–DeWitt Model of Quantum Cosmology
AbstractSchrödinger time independent equation arises in Wheeler–DeWitt model of quantum cosmology to develop a wave function for the corrections of...
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Subsystems of a Closed Quantum System in Finite Quantum Mechanics
Any Hilbert space of composite dimension can be decomposed into a tensor product of Hilbert spaces of lower dimensions. Such a factorization makes it...
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A Bizarre Birthday Present: Gödel’s Universe
In the second half of the 1940s, Kurt Gödel put together two topics which had interested him for a number of years: Kant’s concept of time as a...
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Ellis envelo** semigroups in real closed fields
We introduce the Boolean algebra of d -semialgebraic (more generally, d -definable) sets and prove that its Stone space is naturally isomorphic to the...
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On Derivation of Vlasov–Maxwell–Einstein Equations from the Principle of Least Action, the Hamilton–Jacobi Method, and the Milne–McCrea Model
AbstractIn classical texts equations for gravitation and electromagnetic fields are proposed without deriving their right-hand sides [1–4]. In this...
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Emergence of Classicality from an Inhomogeneous Universe
We give a short account of the quantisation of the Szekeres spacetime by considering the symmetries of a reduced action principle. This is an...
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Projective and conformal closed manifolds with a higher-rank lattice action
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on closed manifolds endowed with either a projective...
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Random walks and the universe of districting plans
let a “random walker” loose in your universe to collect samples as they explore. The mathematical framework for this is called Markov chains. This...
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The expanding universe of the geometric mean
In this paper the authors seek to trace in an accessible fashion the rapid recent development of the theory of the matrix geometric mean in the cone...
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Stability analysis of anisotropic Bianchi type I cosmological model
Locally Rotationally Symmetric(LRS) Bianchi type I cosmological model interacting with scalar field and exponential potential is presented and phase...
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Martin-Löf identity types in C-systems
This paper continues a series of papers that develop a new approach to syntax and semantics of dependent type theories. Here we study the...
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Structural Stability of the Financial Market Model: Continuity of Superhedging Price and Model Approximation
The present paper continues the topic of our recent paper in the same journal, aiming to show the role of structural stability in financial modeling....
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Second order arithmetic as the model companion of set theory
This is an introductory paper to a series of results linking generic absoluteness results for second and third order number theory to the model...
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Dynamics of a Random Hopfield Neural Lattice Model with Adaptive Synapses and Delayed Hebbian Learning
A Dong–Hopfield neural lattice model with random external forcing and delayed response to the evolution of interconnection weights is developed and...
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Are minimum variance portfolios in multi-factor models long in low-beta assets?
Within the one-factor capital asset pricing model (CAPM), the minimum-variance portfolio (MVP) is known to have long positions in those assets of the...
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Quasimonotone random and stochastic functional differential equations with applications
In this paper, we study monotone properties of random and stochastic functional differential equations and their global dynamics. First, we show that...
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Lemaitre, Inhomogeneous Cosmology, and a Quick Look at the BTZ Black Hole
The Reverend Monsignor George Lemaitre (1894–1966), a Belgium Priest, made an explicit proposal of the expansion of the universe during the period...