p-Adic mathematical physics: the first 30 years

B Dragovich, AY Khrennikov, SV Kozyrev… - P-Adic numbers …, 2017 - Springer
Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …

Tachyon scalar field in a braneworld cosmology

DD Dimitrijevic, N Bilić, GS Djordjevic… - … journal of modern …, 2018 - World Scientific
We analyze a tachyon cosmological model based on the dynamics of a 3-brane in the bulk
of the second Randall–Sundrum model. This model contains extended general warp …

Quantum mechanics on a p-adic Hilbert space: Foundations and prospects

P Aniello, S Mancini, V Parisi - International Journal of …, 2024 - ui.adsabs.harvard.edu
We review some recent results on the mathematical foundations of a quantum theory over a
scalar field that is a quadratic extension of the non-Archimedean field of p-adic numbers. In …

Dynamics of tachyon fields and inflation-comparison of analytical and numerical results with observation

M Milošević, DD Dimitrijević, GS Đorđević… - Serbian Astronomical …, 2016 - doiserbia.nb.rs
The role tachyon fields may play in evolution of early universe is discussed in this paper. We
consider the evolution of a flat and homogeneous universe governed by a tachyon scalar …

[PDF][PDF] On canonical transformation and tachyon-like “Particles” in inflationary cosmology

GS Djordjevic, DD Dimitrijevic, M Milosevic - Romanian Journal of …, 2016 - s3.cern.ch
We examine a classical and quantum dynamics of systems described by the DBI-type
Lagrangian with tachyon-like potentials and corresponding DBI Lagrangians on (non-) …

Numerical calculation of hubble hierarchy parameters and observational parameters of inflation

M Milošević, N Bilić, DD Dimitrijević… - AIP Conference …, 2019 - pubs.aip.org
We present results obtained by a software we developed for computing observational
cosmological inflation parameters: the scalar spectral index (ns) and the tensor-to-scalar …

Inflationary RSII model with a matter in the bulk and exponential potential of tachyon field

M Stojanović, N Bilić, DD Dimitrijević… - arXiv preprint arXiv …, 2019 - arxiv.org
In this paper we study a tachyon cosmological model based on dynamics of a 3-brane in the
second Randall-Sundrum (RSII) model extended to include matter in the bulk. The presence …

On tachyonic inflaton with constraints

DD Dimitrijevic, MA Dimitrijevic… - Tim 18 Physics …, 2019 - ui.adsabs.harvard.edu
In this paper we discuss tachyon scalar field with constraints in the cosmological context.
The tachyon field is described by a Dirac-Born-Infeld (DBI) type action. In order to quantize …

[PDF][PDF] On DBI Lagrangian Dynamics and its Mechanical and Cosmological Realization

D Delibašić, GS Djordjević𝑎, M Popović𝑏 - 2022 - pos.sissa.it
This work has been motivated by application of DBI Lagrangians, and their dynamics, in
cosmology and the theory of inflation. The focus is on the study of the dynamics of a scalar …

[PDF][PDF] Marko Stojanović1, Neven Bilić 2, Dragoljub D. Dimitrijević 3, Goran S. Đorđević 3, Milan Milošević 3

EPOFT FIELD - 2019 - academia.edu
In this paper, we study a tachyon cosmological model based on the dynamics of a 3-brane in
the second Randall-Sundrum (RSII) model extended to include matter in the bulk. The …