Inflation in a Non‐Commutative Riemannian‐Foliated Quantum Gravity Domain
Sign Up to like & getrecommendations! Published in 2025 at "Astronomische Nachrichten"
DOI: 10.1002/asna.20240152
Abstract: We explore the implications of Branch‐Cut Quantum Gravity (BCQG), a novel framework leveraging non‐commutative geometry within a symplectic phase‐space, on the accelerated expansion of the universe. Non‐commutativity, introduced through a deformation of the Poisson algebra… read more here.
Keywords: riemannian foliated; non commutative; commutative riemannian; quantum gravity ... See more keywords
Fate of κ-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
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DOI: 10.1007/jhep02(2025)063
Abstract: We present an algebraic and kinematical analysis of non-commutative κ-Minkowski spaces within Galilean (non-relativistic) and Carrollian (ultra-relativistic) regimes. Utilizing the theory of Wigner-Inönu contractions, we begin with a brief review of how one can apply… read more here.
Keywords: non relativistic; space; time; non commutative ... See more keywords
Bootstrapping non-commutative gauge theories from L∞ algebras
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DOI: 10.1007/jhep05(2018)097
Abstract: A bstractNon-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying L∞ algebra, that governs not only the action of the symmetries but… read more here.
Keywords: theories algebras; gauge theories; commutative gauge; non commutative ... See more keywords
A quantum energy inequality for a non-commutative QFT
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DOI: 10.1007/jhep08(2025)190
Abstract: We present a quantum energy inequality (QEI) for quantum field theories formulated in non-commutative spacetimes, extending fundamental energy constraints to this generalized geometric framework. By using operator-theoretic methods inspired by the positivity map of Waldmann… read more here.
Keywords: non commutative; quantum energy; energy; energy inequality ... See more keywords
Chaos and entanglement spreading in a non-commutative gauge theory
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2018)072
Abstract: A bstractHolographic theories with classical gravity duals are maximally chaotic: they saturate a set of bounds on the spread of quantum information. In this paper we question whether non-locality can affect such bounds. Specifically, we… read more here.
Keywords: spreading non; theory; chaos entanglement; quantum information ... See more keywords
Commutativity of quantization and reduction for quiver representations
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DOI: 10.1007/s00209-022-03028-1
Abstract: Given a finite quiver, its double may be viewed as its non-commutative “cotangent” space, and hence is a non-commutative symplectic space. Crawley-Boevey, Etingof and Ginzburg constructed the non-commutative reduction of this space while Schedler constructed… read more here.
Keywords: quantization; non commutative; commutativity quantization; quantization reduction ... See more keywords
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices
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DOI: 10.1007/s00440-021-01101-0
Abstract: Let $U^N = (U_1^N,\dots, U^N_p)$ be a d-tuple of $N\times N$ independent Haar unitary matrices and $Z^{NM}$ be any family of deterministic matrices in $\mathbb{M}_N(\mathbb{C})\otimes \mathbb{M}_M(\mathbb{C})$. Let $P$ be a self-adjoint non-commutative polynomial. In 1998,… read more here.
Keywords: haar unitary; unitary matrices; almost surely; deterministic matrices ... See more keywords
Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools
Sign Up to like & getrecommendations! Published in 2019 at "Central European Journal of Operations Research"
DOI: 10.1007/s10100-018-0533-z
Abstract: Numerous applied problems contain matrices as variables, and the formulas therefore involve polynomials in matrices. To handle such polynomials it is necessary study non-commutative polynomials. In this paper we will present an algorithm and its… read more here.
Keywords: non symmetric; sums hermitian; hermitian squares; commutative polynomials ... See more keywords
On non-commutative operator graphs generated by covariant resolutions of identity
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DOI: 10.1007/s11128-018-2072-x
Abstract: We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such… read more here.
Keywords: graphs generated; commutative operator; operator graphs; non commutative ... See more keywords
An Alternative Approach to Weighted Non-commutative Banach Function Spaces
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DOI: 10.1007/s11785-019-00909-y
Abstract: We use a weighted analogue of a trace to define a weighted non-commutative decreasing rearrangement and show its relationship with the singular value function. We further show an alternative approach to constructing weighted non-commutative Banach… read more here.
Keywords: weighted non; alternative approach; non commutative; function ... See more keywords
From Classical to Quantum: Polymorphisms in Non-Commutative Probability
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DOI: 10.1007/s11785-025-01837-w
Abstract: We present a parallel between commutative and non-commutative polymorphisms. Our emphasis is the applications to conditional distributions from stochastic processes. In the classical case, both the measures and the positive definite kernels are scalar valued.… read more here.
Keywords: operator valued; non commutative; classical quantum; theory ... See more keywords