The diagnosis of psychiatric disorders is currently based on a clinical and psychiatric
examination (intake). Ancillary tests are used minimally or only to exclude other disorders …

We construct in a rigorous mathematical way interacting quantum field theories on ap-adic
spacetime. The main result is the construction of a measure on a function space which …

Following Smolin, we proceed to unification of general relativity and quantum theory by
operating solely with events, ie, without appealing to physical systems and space-time. The …

Recently we started the development of Dendrographic Hologram Theory (DH-theory). It is
based on the novel mathematical representation of the relational event universe (in the spirit …

In this work we initiate the study of the correspondence between p-adic statistical field
theories (SFTs) and neural networks (NNs). In general quantum field theories over a p-adic …

Quantum mechanics (QM) is derived based on a universe composed solely of events, for
example, outcomes of observables. Such an event universe is represented by a dendrogram …

A bstract In this article, we establish in a rigorous mathematical way that Koba-Nielsen
amplitudes defined on any local field of characteristic zero are bona fide integrals that admit …

We consider the generalized Gibbs measures corresponding to the-adic Ising model in an
external field on the Cayley tree of order two. It is established that if, then there exist three …

We present a new non-Archimedean realization of the Fock representation of the q-oscillator
algebras where the creation and annihilation operators act on complex-valued functions …

In this paper, we introduce a new type of matter that has origin in p-adic strings, ie, strings
with ap-adic worldsheet. We investigate some properties of this p-adic matter, in particular its …