One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it
has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity …

In this paper we provide the criteria for any generally covariant, parity preserving, and
torsion-free theory of gravity to possess a stable de Sitter (dS) or anti–de Sitter (AdS) …

We construct ap-adic analog to AdS/CFT, where an unramified extension of the p-adic
numbers replaces Euclidean space as the boundary and a version of the Bruhat–Tits tree …

Differential equations of infinite order are an increasingly important class of equations in
theoretical physics. Such equations are ubiquitous in string field theory and have recently …

We take a few steps towards constructing a string-inspired nonlocal extension of the
Standard Model. We start by illustrating how quantum loop calculations can be performed in …

We show that the discrepancy between the observed value of the muon anomalous moment
and the standard model prediction can be explained in the framework of nonlocal theories …

We construct approximate inflationary solutions rolling away from the unstable maximum of
p-adic string theory, a nonlocal theory with derivatives of all orders. Novel features include …

We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-
Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we use …

This survey article aims to provide an introduction to the theory of local zeta functions in the
p-adic framework for beginners. We also give an extensive guide to the current literature on …

We develop the thermodynamics of field theories characterized by non-local propagators.
We analyze the partition function and main thermodynamic properties arising from …