Araştırma Makalesi

On the Non-Existence of Unbounded Discrete Space-Time

Cilt: 1 Sayı: 2 10 Kasım 2018
Mathematical Advances in Pure and Applied Sciences Kapak
Mathematical Advances in Pure and Applied Sciences
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On the Non-Existence of Unbounded Discrete Space-Time

Abstract

n-scales introduce a generalization of time-scales that has been put forward
to unify continuous and discrete analyses in higher dimensions. In this paper we
investigate massive scalar field theory on a regular n-Scale. We have given the
modified field equation that is appropriate to this space-time structure and gave the
mode solutions. If the space-time is discrete and unbounded, we have found that
no massive scalar field can exist. Hence, we concluded that unbounded discrete
space-time cannot exist. If discrete space-time exists, it has to be bounded in each
dimension.

Keywords

Kaynakça

  1. B. Aulbach and S. Hilger. Linear dynamic processes with inhomogeneous time scale. Non-Linear Dynamics and Quantum Dynamical Systems, 59:9--20, 1990.
  2. M. Bohner and A. Peterson. Dynamic Equations on Time Scales An Introduction With Applications. Birkhauser, 2001.
  3. M. Bohner and A. Peterson. Advances in Dynamic Equations on Time Scales. Birkhauser, 2003.
  4. Martin Bohner and GS Guseino. Multiple integration on time scales. Dynamic systems and applications, 14(3/4):579, 2005.
  5. Furkan Semih Dündar. The theory of n-scales. AIP Conference Proceedings, 1926(1):020014, 2018.
  6. Bülent Oğur. Qualitative analysis of dynamical systems on time scales with initial time difference. Master's thesis, Gebze Institute of Technology, 2013.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Metin Arık
Türkiye

Yayımlanma Tarihi

10 Kasım 2018

Gönderilme Tarihi

29 Haziran 2018

Kabul Tarihi

10 Ekim 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 1 Sayı: 2

IZ

https://izlik.org/JA67ZD45BD

Kaynak Göster

RIS / Bibtex
APA
Dündar, F. S., & Arık, M. (2018). On the Non-Existence of Unbounded Discrete Space-Time. Mathematical Advances in Pure and Applied Sciences, 1(2), 52-55. https://izlik.org/JA67ZD45BD
AMA
1.Dündar FS, Arık M. On the Non-Existence of Unbounded Discrete Space-Time. MAPAS. 2018;1(2):52-55. https://izlik.org/JA67ZD45BD
Chicago
Dündar, Furkan Semih, ve Metin Arık. 2018. “On the Non-Existence of Unbounded Discrete Space-Time”. Mathematical Advances in Pure and Applied Sciences 1 (2): 52-55. https://izlik.org/JA67ZD45BD.
EndNote
Dündar FS, Arık M (01 Kasım 2018) On the Non-Existence of Unbounded Discrete Space-Time. Mathematical Advances in Pure and Applied Sciences 1 2 52–55.
IEEE
[1]F. S. Dündar ve M. Arık, “On the Non-Existence of Unbounded Discrete Space-Time”, MAPAS, c. 1, sy 2, ss. 52–55, Kas. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA67ZD45BD
ISNAD
Dündar, Furkan Semih - Arık, Metin. “On the Non-Existence of Unbounded Discrete Space-Time”. Mathematical Advances in Pure and Applied Sciences 1/2 (01 Kasım 2018): 52-55. https://izlik.org/JA67ZD45BD.
JAMA
1.Dündar FS, Arık M. On the Non-Existence of Unbounded Discrete Space-Time. MAPAS. 2018;1:52–55.
MLA
Dündar, Furkan Semih, ve Metin Arık. “On the Non-Existence of Unbounded Discrete Space-Time”. Mathematical Advances in Pure and Applied Sciences, c. 1, sy 2, Kasım 2018, ss. 52-55, https://izlik.org/JA67ZD45BD.
Vancouver
1.Furkan Semih Dündar, Metin Arık. On the Non-Existence of Unbounded Discrete Space-Time. MAPAS [Internet]. 01 Kasım 2018;1(2):52-5. Erişim adresi: https://izlik.org/JA67ZD45BD