We review various aspects of de Sitter spacetime in string theory: its status as an effective field theory solution, relation to the vacuum energy problem theory, (global) holographic definition terms two entangled and non-canonical conformal theories, well a realization realistic universe endowed with observed visible matter necessary dark sector order reproduce cosmological structure. In particular, based on new insight regarding constant we argue that doubled, T-duality-symmetric,...

Moduli spaces for a wide class of Calabi-Yau manifolds with different numerical invariants (and thus topologically distinct) can be assembled into connected ``web'' in which all distances are finite. This increases the plausibility phase transitions among corresponding superstring vacua.

The authors compute explicitly all the Hodge numbers for Calabi-Yau manifolds realised as complete intersections of hypersurfaces in products complex projective spaces. This determines essential part matter superfield spectrum heterotic superstring compactified on any these manifolds. They use various techniques presented recent literature to obtain 265 distinct diamonds; they exemplify techniques, giving necessary details their computations.

Adinkras are diagrams that describe many useful supermultiplets in D = 1 dimensions.We show the topology of Adinkra is uniquely determined by a doubly even code.Conversely, every code produces possible an Adinkra.A computation codes results enumeration these topologies up to N 28, and for minimal supermultiplets, 32.

Complex Ricci-flat (i.e., Calabi-Yau) hypersurfaces in spaces admitting a maximal (toric) $U(1)^n$ gauge symmetry of general type (encoded by certain non-convex and multi-layered multitopes) may degenerate, but can be smoothed rational (Laurent) anticanonical sections. Nevertheless, the phases Gauged Linear Sigma Model an increasing number their classical quantum data are just as computable for siblings encoded reflexive polytopes, they all have transposition mirror models. Showcasing such...

Local information objectivity, that local observers can infer the same about a model upon exchange of experimental data, is fundamental to science. It mathematically encoded via Cencov's theorem: Fisher metric unique invariant under sufficient statistics. However, quantum gravity typically violates some Cencov assumptions, allowing and Born rule vary between observers. We explain these violations, possible tests, new approach based on generally covariant geometry.

Superstring compactifications have been vigorously studied for over four decades, and flourished, involving an active iterative feedback between physics (complex) algebraic geometry. This led to unprecedented wealth of constructions, virtually all which are “purely” algebraic. Recent developments however indicate many more possibilities be afforded by including certain generalizations that, at first glance least, not algebraic—yet fit remarkably well within overall mirror-symmetric framework...

Calabi-Yau compactifications of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>E</a:mi><a:mn>8</a:mn></a:msub><a:mo>×</a:mo><a:msub><a:mi>E</a:mi><a:mn>8</a:mn></a:msub></a:math> heterotic string provide a promising route to recovering four-dimensional particle physics described by Standard Model. While topology space determines overall matter content in low-energy effective field theory, further details compactification geometry are needed calculate...

Calabi-Yau spaces are complex with a vanishing first Chern class, or equivalently, trivial canonical bundle (canonical class). They used to construct possibly realistic (super)string models and thus being studied vigorously in the recent physics literature.In main part of Book, collected reviewed relevant results on (1) several major techniques constructing such (2) computation physically quantities as massless field spectra their Yukawa interactions. Issues (3) stringy corrections (4)...

We study a wide class of complex spaces each which may be spanned by "internal" degrees freedom certain physics models with simple supergravity in (3+1)-dimensional Minkowski space-time. show that there are connections among these suggesting the possibility phase transitions would cause drastic changes physical observables such models. The web superstring so connected suggests existence "unified" model studied here special cases.

We present further progress toward a complete classification scheme for describing supermultiplets of N-extended worldline supersymmetry, which relies on graph-theoretic topological invariants. In particular, we demonstrate relationship between Adinkra diagrams and quotients N-dimensional cubes, where the quotient groups are subgroups $(Z_2)^N$. explain how these correspond precisely to doubly even binary linear error-correcting codes, so that such codes provides means equivalence classes...

Recently we have discussed a new approach to the problem of quantum gravity in which mechanical structures that are traditionally fixed, such as Fubini-Study metric Hilbert space states, become dynamical and so implement idea gravitizing quantum. In this paper elaborate on specific test using triple interference varying gravitational field. Our discussion is driven by profound analogy with recent triple-path experiments performed context non-linear optics. We emphasize experiment field would...

We explore the concept of emergent quantum-like theory in complex adaptive systems, and examine particular concrete example such an (or "mock") quantum Lotka–Volterra system. In general, we investigate possibility implementing mathematical formalism mechanics on classical what would be conditions for using approach. start from a standard description system via Hamilton–Jacobi (HJ) equation reduce it to effective Schrodinger-type equation, with (mock) Planck constant , which is...

A bstract We introduce cymyc, a high-performance Python library for numerical investigation of the geometry large class string compactification manifolds and their associated moduli spaces. develop well-defined geometric ansatz to numerically model tensor fields arbitrary degree on Calabi-Yau manifolds. cymyc includes machine learning component which incorporates this interest these spaces by finding an approximate solution system partial differential equations they should satisfy.

In this paper, we discuss off-shell representations of N-extended supersymmetry in one dimension, i.e. supersymmetric quantum mechanics, and following earlier work on the subject, codify them terms graphs called Adinkras. This framework provides a method generating all Adinkras with same topology, so also corresponding irreducible multiplets. We develop some graph theoretic techniques to understand these diagrams relatively small amount information, namely, at what heights various vertices...

There exist myriads of off-shell worldline supermultiplets for (N ≤ 32)extended supersymmetry in which every supercharge maps a component field to precisely one other or its derivative.A subset these extends worldsheet (p, q)-supersymmetry, and is characterized herein by evading an obstruction specified visually computationally the "bow-tie" "spin sum rule" twin theorems.The evasion this proven be both necessary sufficient supermultiplet extend supersymmetry; it also filter dimensional...

We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, requiring use certain Laurent defining polynomials, and explore phases corresponding gauged linear sigma models. The associated non-reflexive non-convex polytopes provide a generalization Batyrev’s original work, allowing us construct novel pairs mirror showcase our proposal for this by examining Hirzebruch n-folds, focusing on n=3,4 sequences, outline more general class so-defined geometries.