Motivated by establishing holographic renormalization for gravitational theories with non-metricity and torsion, we present a new efficient general method calculating Gibbons-Hawking-York (GHY) terms. Our consists of linearizing any nonlinearity in curvature, torsion or introducing suitable Lagrange multipliers. Moreover, use split formalism differential forms, writing them $(n-1)+1$ dimensions...

We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by Dc = Cv B/(2πT ) where vB is the velocity of the butterfly effect. The constant of proportionality, C, depends only on the scaling exponents of the infra-red theory. Our results suggest an unexpected connection b...

Recently a concise expression for the subleading infrared singularity of dimensional-regularized gauge theories has been proposed. For conformal theories, such relation involves a universal eikonal contribution plus a non-eikonal contribution, related to the subleading term in the anomalous dimension of twist two operators with large spin. In this note we make use of the AdS/CF T correspondence...

We present some model theoretic results for Lukasiewicz predicate logic by using the methods of continuous model theory developed by Chang and Keisler. We prove compactness theorem with respect to the class of all structures taking values in the Lukasiewicz BL-algebra. We also prove some appropriate preservation theorems concerning universal and inductive theories. Finally, Skolemization and Mo...

Many theories of grammar make a sharp distinction between the arrangement of words within a clause and the arrangement of morphemes within a word (but see Baker 1988). What is unfortunate about this distinction is that theories of syntax provide universal and well-motivated operations to account for the arrangement of words within a clause, while the arrangement of morphemes within a word is re...

The paper presents generalizations of results on so-called Horn logic, well-known in universal algebra, to the setting of fuzzy logic. The theories we consider consist of formulas which are implications between identities (equations) with premises weighted by truth degrees. We adopt Pavelka style: theories are fuzzy sets of formulas and we consider degrees of provability of formulas from theori...

We study generalized Deligne categories and related tensor envelopes for the universal two-dimensional cobordism theories described by rational functions, recently defined Sazdanovic one of authors.

This Letter refines arguments forbidding nonlinear dynamical gravity from appearing in the low energy effective description of field theories with local kinematics, even for those with instantaneous long-range interactions. Specifically, we note that gravitational theories with universal coupling to energy-an intrinsically nonlinear phenomenon-are characterized by Hamiltonians that are pure bou...

In a previous paper, we have introduced a general approach for connecting two many-sorted theories through connection functions that behave like homomorphisms on the shared signature, and have shown that, under appropriate algebraic conditions, decidability of the validity of universal formulae in the component theories transfers to their connection. This work generalizes decidability transfer ...

We review recent results from studies of the dynamics of classical YangMills fields on a lattice. We discuss the numerical techniques employed in solving the classical lattice Yang-Mills equations in real time, and present results exhibiting the universal chaotic behavior of nonabelian gauge theories. The complete spectrum of Lyapunov exponents is determined for the gauge group SU(2). We survey...