Geometric flow of bubbles

Biasio, Davide De; Lüst, Dieter

doi:10.1016/j.nuclphysb.2022.115812

Cited by 4 publications

(27 citation statements)

References 17 publications

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“…The swampland distance conjecture has been widely explored and extended [224,[277][278][279][280][281][282][283][284], fruitfully applied in the context of cosmology [285][286][287][288] and related to either the restoration of global symmetries, which should be absent from any consistent theory of quantum gravity [262,263,[289][290][291][292][293][294][295][296], or the emergence of a critical string [297][298][299]. In a series of works [159,202,203,217,242,249,[300][301][302][303], some of which will constitute the backbone of part II, multiple generalisations of the conjecture to the space-time metric itself were put forward. Before considering the details of the results derived in [300] and [302], we will now provide a concise introduction to the motivations, guiding principles and typical tools employed when trying to construct a distance conjecture for space-time geometries.…”

Section: Interpreting Infinite Distancesmentioning

confidence: 99%

“…In a series of works [159,202,203,217,242,249,[300][301][302][303], some of which will constitute the backbone of part II, multiple generalisations of the conjecture to the space-time metric itself were put forward. Before considering the details of the results derived in [300] and [302], we will now provide a concise introduction to the motivations, guiding principles and typical tools employed when trying to construct a distance conjecture for space-time geometries.…”

Section: Interpreting Infinite Distancesmentioning

confidence: 99%

“…A candidate statement was presented in [242], where the mathematics of geometric flows allowed to frame the AdS flat limit in a more encompassing context. Further refinements [202,203,217,303], generalisations [300,302] and applications [159,249,301] thereof were subsequently explored. Geometric flow equations were originally applied in the context of string theory and condensed matter physics by Daniel Friedan, while analysing an extension of Aleksandr Markovič Poljakov's discussion [304] of the O (N )-invariant nonlinear σ-model renormalisation in 2 + ϵ dimensions [305].…”

Section: Geometric Flowsmentioning

confidence: 99%

“…Throughout the following chapter, largely based on [300], we will once more assume to work with a smooth D-dimensional manifold M, endowed with a dynamical Lorentzian metric g and a real scalar field ϕ. The generalised moduli space of space-time configurations γ ≡ (g, ϕ) of such fields will be Γ M , as introduced in (4.2.57).…”

Section: Geometric Flow Of Bubblesmentioning

confidence: 99%

“…In [300], an alternative set of flow equations was derived and applied to cosmological constant bubble example. Nonetheless, being the entropy functional employed in such work not invariant under diffeomorphism, which is a feature (5.2.1) instead possesses, we choose to stick to the flow equations (5.2.7) for the remainder of the section.…”

Section: Geometric Flow Equationsmentioning

confidence: 99%

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Geometric Flow of Bubbles

De Biasio,

Lust

2022

Preprint

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In this work we derive a class of geometric flow equations for metric-scalar systems. Thereafter, we construct them from some general string frame action by performing volume-preserving fields variations and writing down the associated gradient flow equations. Then, we consider some specific realisations of the above procedure, applying the flow equations to non-trivial scalar bubble and metric bubble solutions, studying the subsequent flow behaviour.

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Section: Interpreting Infinite Distancesmentioning

confidence: 99%

Section: Interpreting Infinite Distancesmentioning

confidence: 99%

Section: Geometric Flowsmentioning

confidence: 99%

Section: Geometric Flow Of Bubblesmentioning

confidence: 99%

Section: Geometric Flow Equationsmentioning

confidence: 99%

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Geometric Flow of Bubbles

De Biasio,

Lust

2022

Preprint

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Nonassociative Ricci Flows, Star Product and R‐flux Deformed Black Holes, and Swampland Conjectures

Bubuianu¹,

Vacaru

Veliev

2023

Fortschritte der Physik

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A theory of nonassociative geometric flows is formulated as an extension of a string‐inspired model of nonassociative gravity determined by star product. The nonassociative Ricci tensor and curvature scalar defined by (non) symmetric metric structures and generalized (non) linear connections are used for defining nonassociative versions of Grigori Perelman F‐ and W‐functionals for Ricci flows and computing associated thermodynamic variables. The anholonomic frame and connection deformation method, AFCDM, which allows us to construct exact and parametric solutions describing nonassociative geometric flow evolution scenarios and modified Ricci soliton configurations with quasi‐stationary generic off‐diagonal metrics are developed and applied. There are provided explicit examples of solutions modeling geometric and statistical thermodynamic evolution on a temperature‐like parameter of modified black hole configurations encoding nonassociative star‐product and R‐flux deformation data. Further perspectives of the paper are motivated by nonassociative off‐diagonal geometric flow extensions of the swampland program, related conjectures and claims on geometric and physical properties of new classes of quasi‐stationary Ricci flow and black hole solutions.

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Nonassociative Geometric and Quantum Information Flows and R‐Flux Deformations of Wormhole Solutions in String Gravity

Bubuianu,

Singleton,

Vacaru

et al. 2024

Fortschritte der Physik

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This article consists of an introduction to the theory of nonassociative geometric classical and quantum information flows defined by star products with R‐flux deformations in string gravity. Corresponding nonassociative generalizations of the concepts of classical Shannon entropy, quantum von Neumann entropy, Rényi entropy are formulated. The fundamental geometric and quantum information objects are computed following the Grigori Perelman statistical thermodynamic approach to Ricci flows and gravity theories generalized for phase spaces modeled as (co) tangent Lorentz bundles. Nonassociative parametric deformations and nonholonomic thermo‐geometric versions of statistical generating functions, their quantum analogues as density matrices are considered for deriving the entropy, energy and fluctuation functionals. This allows us to define and compute respective classical and quantum relative and conditional entropies, mutual information and nonassociative entanglement and thermodynamic information variables. The principles of nonassociative quantum geometric and information flow theory, QGIF, and study the basic properties of such quasi‐stationary models related to modified gravity theories are formulated. Applications are considered for nonassociative deformed and entangled couples of four‐dimensional (4‐d), wormholes (defined by respective spacetime and/or momentum type coordinates) and nonassociative QGIFs of 8‐d phase space generalized wormholes configurations. Finally, phase space black holes and wormholes being transversable for nonassociative qubits, quantum channels and entanglement witness are speculated; thought and laboratory experiments are discussed; and perspectives for quantum computer modeling and tests of nonassociative geometric flow and gravity theories are considered.

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Geometric flow of bubbles

Cited by 4 publications

References 17 publications

Geometric Flow of Bubbles

Geometric Flow of Bubbles

Nonassociative Ricci Flows, Star Product and R‐flux Deformed Black Holes, and Swampland Conjectures

Nonassociative Geometric and Quantum Information Flows and R‐Flux Deformations of Wormhole Solutions in String Gravity

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