TY  - JOUR
T1  - On the Non-Existence of Unbounded Discrete Space-Time
AU  - Dündar, Furkan Semih
AU  - Arık, Metin
PY  - 2018
DA  - November
JF  - Mathematical Advances in Pure and Applied Sciences
JO  - MAPAS
PB  - Muttalip ÖZAVŞAR
WT  - DergiPark
SN  - 2636-8021
SP  - 52
EP  - 55
VL  - 1
IS  - 2
LA  - en
AB  - n-scales introduce a generalization of time-scales that has been put forwardto unify continuous and discrete analyses in higher dimensions. In this paper weinvestigate massive scalar field theory on a regular n-Scale. We have given themodified field equation that is appropriate to this space-time structure and gave themode solutions. If the space-time is discrete and unbounded, we have found thatno massive scalar field can exist. Hence, we concluded that unbounded discretespace-time cannot exist. If discrete space-time exists, it has to be bounded in eachdimension.
KW  - Time-Scale
KW  - n-Scale
KW  - Field Theory
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CR  - Furkan Semih Dündar. The theory of n-scales. AIP Conference Proceedings, 1926(1):020014, 2018.
CR  - Bülent Oğur. Qualitative analysis of dynamical systems on time scales with initial time difference. Master's thesis, Gebze Institute of Technology, 2013.
UR  - https://dergipark.org.tr/en/pub/mapas/issue//438854
L1  - https://dergipark.org.tr/en/download/article-file/635562
ER  -