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pro vyhledávání: '"Ashfaque, Johar M."'
Autor:
Ashfaque, Johar M.
In this note, we show that the $\mu$-oscillator does not lead to the Fibonacci sequence as claimed in \cite{Marinho:2019zny} since $[n]^{\mu}=n$ in the limit $\mu \rightarrow 0$. Thus we obtain the sequence $[0]^{\mu}=0, 1, 2,...$. We only obtain the
Externí odkaz:
http://arxiv.org/abs/1906.03071
Autor:
Ashfaque, Johar M.
In this note, we extend the connection between the hydrogen atom and $\pi$ to the number $e$ via the Lerch's transcendent.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1905.11813
In this paper we discuss relativistic quantum backflow. The general theory of relativistic backflow is written down and it is shown that the backflow can be written as a function of a simple parameter which is defined in terms of fundamental constant
Externí odkaz:
http://arxiv.org/abs/1903.07618
Autor:
Ashfaque, Johar M.
This is a review of some of the interesting properties of the Riemann Zeta Function.
Comment: 15 pp
Comment: 15 pp
Externí odkaz:
http://arxiv.org/abs/1812.02574
Autor:
Ashfaque, Johar M.
In this note, we speculate about the fundamental role being played by the $SO(8)$ group representations displaying the triality structure that necessarily arise in models constructed under the free fermionic methodology as being remnants of the highe
Externí odkaz:
http://arxiv.org/abs/1707.00512
Autor:
Ashfaque, Johar M.
T-branes, which are non-Abelian bound states of branes, were first introduced by Cecotti, Cordova, Heckman and Vafa \cite{Cecotti:2010bp}. They are the refined version of the monodromic branes that feature in the phenomenological F-theory models. Her
Externí odkaz:
http://arxiv.org/abs/1701.05896
Autor:
Ashfaque, Johar M.
In this paper, $E_6$ and especially $E_7$ GUT are considered in the F-theory setting in view of the free fermionic construction of the $4D$ heterotic string. In particular, the NAHE-Based LRS model of \cite{Cleaver:2000ds, Cleaver:2002ps} is revisite
Externí odkaz:
http://arxiv.org/abs/1609.01991
Autor:
Ashfaque, Johar M.
After revisiting the heterotic string-derived low-energy effective model of \cite{Ashfaque:2016ydg, Athanasopoulos:2014bba, Faraggi:2016xnm, Ashfaque:2016jha} constructed in the four-dimensional free fermionic formulation, we find two axions which ar
Externí odkaz:
http://arxiv.org/abs/1607.05769
Autor:
Ashfaque, Johar M.
The production and the subsequent decay of the SM singlet via heavy vector--like colour triplets and electroweak doublets in one--loop diagrams can shed light on the recent observation of diphoton excess at the LHC. In this paper, the $E_6$ GUT is co
Externí odkaz:
http://arxiv.org/abs/1607.03076
The heterotic--string models in the free fermionic formulation gave rise to some of the most realistic string models to date, which possess N=1 spacetime supersymmetry. Lack of evidence for supersymmetry at the LHC instigated recent interest in non-s
Externí odkaz:
http://arxiv.org/abs/1506.03114