On the fundamental masses derivable by dimensional analysis
Other Title(s)
حول الكتل الأساسية الممكن اشتقاقها بتحليل الأبعاد
Joint Authors
Rushdi, Mustafa Ali
Rushdi, Ali Muhammad Ali
Source
Journal of King Abdulaziz University : Engineering Sciences
Issue
Vol. 27, Issue 1 (30 Jun. 2016), pp.35-42, 8 p.
Publisher
King Abdulaziz University Scientific Publishing Center
Publication Date
2016-06-30
Country of Publication
Saudi Arabia
No. of Pages
8
Main Subjects
Abstract EN
Dimensional Analysis (DA) is utilized to identify fundamental masses in terms of four fundamental constants that describe, respectively, the relativistic, quantum, gravitational, and cosmological aspects of the Universe.
Gaussian elimination is employed to obtain ten pairs of dimensionless products.
Any two products paired together are independent of each other, and each of them serves as a regime characterized by a single output variable.
In four out of these ten pairs, mass is one of the two output variables, and hence is expressible in terms of the other four constants taken three at a time.
More importantly, we deduce that DA cannot rule out possibilities for fundamental masses that depend on all other four constants taken together.
Techniques other than DA are needed to identify, interpret and calculate numerical values for such masses, and to demonstrate their fundamental physical significance.
American Psychological Association (APA)
Rushdi, Mustafa Ali& Rushdi, Ali Muhammad Ali. 2016. On the fundamental masses derivable by dimensional analysis. Journal of King Abdulaziz University : Engineering Sciences،Vol. 27, no. 1, pp.35-42.
https://search.emarefa.net/detail/BIM-822593
Modern Language Association (MLA)
Rushdi, Mustafa Ali& Rushdi, Ali Muhammad Ali. On the fundamental masses derivable by dimensional analysis. Journal of King Abdulaziz University : Engineering Sciences Vol. 27, no. 1 (Jun. 2016), pp.35-42.
https://search.emarefa.net/detail/BIM-822593
American Medical Association (AMA)
Rushdi, Mustafa Ali& Rushdi, Ali Muhammad Ali. On the fundamental masses derivable by dimensional analysis. Journal of King Abdulaziz University : Engineering Sciences. 2016. Vol. 27, no. 1, pp.35-42.
https://search.emarefa.net/detail/BIM-822593
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 40-41
Record ID
BIM-822593