Andrei Constantin
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View article: Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study
Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Open
Deriving the Yukawa couplings and the resulting fermion masses and mixing angles of the Standard Model (SM) from a more fundamental theory remains one of the central outstanding problems in theoretical high-energy physics. It has long been…
View article: Quark masses and mixing in string-inspired models
Quark masses and mixing in string-inspired models Open
A bstract We study a class of supersymmetric Froggatt-Nielsen (FN) models with multiple U(1) symmetries and Standard Model (SM) singlets inspired by heterotic string compactifications on Calabi-Yau threefolds. The string-theoretic origin i…
View article: An entanglement monotone from the contextual fraction
An entanglement monotone from the contextual fraction Open
The contextual fraction introduced by Abramsky and Brandenburger defines a quantitative measure of contextuality associated with empirical models, i.e. tables of probabilities of measurement outcomes in experimental scenarios. In this pape…
View article: Maximal non-Kochen-Specker sets and a lower bound on the size of Kochen-Specker sets
Maximal non-Kochen-Specker sets and a lower bound on the size of Kochen-Specker sets Open
The challenge of determining bounds for the minimal number of vectors in a three-dimensional Kochen-Specker (KS) set has captivated the quantum foundations community for decades. This paper establishes a weak lower bound of 10 vectors, whi…
View article: Computation of quark masses from string theory
Computation of quark masses from string theory Open
We present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threefold with non-standard embedding. The model belongs to a lar…
View article: Fermion Masses and Mixing in String-Inspired Models
Fermion Masses and Mixing in String-Inspired Models Open
We study a class of supersymmetric Froggatt-Nielsen (FN) models with multiple U(1) symmetries and Standard Model (SM) singlets inspired by heterotic string compactifications on Calabi-Yau threefolds. The string-theoretic origin imposes a p…
View article: Statistical Patterns in the Equations of Physics and the Emergence of a Meta-Law of Nature
Statistical Patterns in the Equations of Physics and the Emergence of a Meta-Law of Nature Open
Physics, as a fundamental science, aims to understand the laws of Nature and describe them in mathematical equations. While the physical reality manifests itself in a wide range of phenomena with varying levels of complexity, the equations…
View article: Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties Open
This paper explores the possibility of constructing multivariate generating functions for all cohomology dimensions of all holomorphic line bundles on certain complex projective varieties of Fano, Calabi-Yau and general type in various dim…
View article: Enumerating Calabi‐Yau Manifolds: Placing Bounds on the Number of Diffeomorphism Classes in the Kreuzer‐Skarke List
Enumerating Calabi‐Yau Manifolds: Placing Bounds on the Number of Diffeomorphism Classes in the Kreuzer‐Skarke List Open
The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class. In …
View article: An Entanglement Monotone from the Contextual Fraction
An Entanglement Monotone from the Contextual Fraction Open
The contextual fraction introduced by Abramsky and Brandenburger defines a quantitative measure of contextuality associated with empirical models, i.e. tables of probabilities of measurement outcomes in experimental scenarios. In this pape…
View article: Maximal Non-Kochen-Specker Sets and a Lower Bound on the Size of Kochen-Specker Sets
Maximal Non-Kochen-Specker Sets and a Lower Bound on the Size of Kochen-Specker Sets Open
The challenge of determining bounds for the minimal number of vectors in a three-dimensional Kochen-Specker (KS) set has captivated the quantum foundations community for decades. This paper establishes a weak lower bound of 10 vectors, whi…
View article: Computation of Quark Masses from String Theory
Computation of Quark Masses from String Theory Open
We present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threefold with non-standard embedding. The model belongs to a lar…
View article: Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing
Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing Open
The string theory landscape may include a multitude of ultraviolet embeddings of the Standard Model, but identifying these has proven difficult due to the enormous number of available string compactifications. Genetic Algorithms (GAs) repr…
View article: Spatially homogeneous universes with late-time anisotropy
Spatially homogeneous universes with late-time anisotropy Open
The cosmological principle asserts that on sufficiently large scales the Universe is homogeneous and isotropic on spatial slices. To deviate from this principle requires a departure from the FLRW ansatz. In this paper we analyze the cosmol…
View article: Enumerating Calabi-Yau Manifolds: Placing bounds on the number of diffeomorphism classes in the Kreuzer-Skarke list
Enumerating Calabi-Yau Manifolds: Placing bounds on the number of diffeomorphism classes in the Kreuzer-Skarke list Open
The diffeomorphism class of simply-connected smooth Calabi-Yau threefolds with torsion-free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class. In …
View article: The moral law versus the culture of sin
The moral law versus the culture of sin Open
Sins touch human dignity. There is an undeniable connection between sin and human dignity. We were created for virtue, and sin robs us of the honor of people created in God's image. The fight against sin is a permanent part of the Christia…
View article: The material and the spiritual wealth
The material and the spiritual wealth Open
Material wealth without virtue, that is, without spiritual wealth, is a loser. Well-being, as the possession of goods, is not an end in itself for our life, but rather a means by which we can also help our fellow men. The writings of the H…
View article: Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing
Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing Open
The string theory landscape may include a multitude of ultraviolet embeddings of the Standard Model, but identifying these has proven difficult due to the enormous number of available string compactifications. Genetic Algorithms (GAs) repr…
View article: Spatially Homogeneous Universes with Late-Time Anisotropy
Spatially Homogeneous Universes with Late-Time Anisotropy Open
The cosmological principle asserts that on sufficiently large scales the Universe is homogeneous and isotropic on spatial slices. To deviate from this principle requires a departure from the FLRW ansatz. In this paper we analyze the cosmol…
View article: Cosmic Inflation and Genetic Algorithms
Cosmic Inflation and Genetic Algorithms Open
Large classes of standard single‐field slow‐roll inflationary models consistent with the required number of e‐folds, the current bounds on the spectral index of scalar perturbations, the tensor‐to‐scalar ratio, and the scale of inflation c…
View article: Cosmic Inflation and Genetic Algorithms
Cosmic Inflation and Genetic Algorithms Open
Large classes of standard single-field slow-roll inflationary models consistent with the required number of e-folds, the current bounds on the spectral index of scalar perturbations, the tensor-to-scalar ratio, and the scale of inflation c…
View article: Intelligent Explorations of the String Theory Landscape
Intelligent Explorations of the String Theory Landscape Open
The goal of identifying the Standard Model of particle physics and its extensions within string theory has been one of the principal driving forces in string phenomenology. Recently, the incorporation of artificial intelligence in string t…
View article: Evolving Heterotic Gauge Backgrounds: Genetic Algorithms versus Reinforcement Learning
Evolving Heterotic Gauge Backgrounds: Genetic Algorithms versus Reinforcement Learning Open
The immensity of the string landscape and the difficulty of identifying solutions that match the observed features of particle physics have raised serious questions about the predictive power of string theory. Modern methods of optimisatio…
View article: Heterotic String Model Building with Monad Bundles and Reinforcement Learning
Heterotic String Model Building with Monad Bundles and Reinforcement Learning Open
We use reinforcement learning as a means of constructing string compactifications with prescribed properties. Specifically, we study heterotic GUT models on Calabi‐Yau three‐folds with monad bundles, in search of phenomenologically promisi…
View article: Flops for Complete Intersection Calabi-Yau Threefolds
Flops for Complete Intersection Calabi-Yau Threefolds Open
We study flops of Calabi-Yau threefolds realised as Kaehler-favourable complete intersections in products of projective spaces (CICYs) and identify two different types. The existence and the type of the flops can be recognised from the con…
View article: Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology
Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology Open
Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact manifolds. Although standard algorithmic techniques exist for …
View article: String Model Building, Reinforcement Learning and Genetic Algorithms
String Model Building, Reinforcement Learning and Genetic Algorithms Open
We investigate reinforcement learning and genetic algorithms in the context of heterotic Calabi-Yau models with monad bundles. Both methods are found to be highly efficient in identifying phenomenologically attractive three-family models, …