Rowan University Rowan Digital Works Theses and Dissertations 4-30-1999 An analysis of spacetime numbers Nicolae Andrew Borota Rowan University Follow this and additional works at: https://rdw.rowan.edu/etd Recommended Citation Borota, Nicolae Andrew, "An analysis of spacetime numbers" (1999). Theses and Dissertations. 1771. https://rdw.rowan.edu/etd/1771 This Thesis is brought to you for free and open access by Rowan Digital Works. It has been accepted for inclusion in Theses and Dissertations by an authorized administrator of Rowan Digital Works. For more information, please contact
[email protected]. AN ANALYSIS OF SPACETIME NUMBERS by Nicolae Andrew Borota A Thesis Submitted in partial fulfillment of the requirements of the Masters of Arts Degree of The Graduate School at Rowan University 04/30/99 Approved by Date Approved A/P/ i- 30 /F?7 ABSTRACT Nicolae Andrew Borota An Analysis of Spacetime Numbers 1999 Thesis Mathematics The familiar complex numbers begin by considering the solution to the equation i = -1, which is not a real number. A two-dimensional number system arises of the form z = x + iy. Spacetime numbers are based upon the simple relation j = 1, with the corresponding two-dimensional number system z = x + jt. It seems odd that anything useful can come from this simple idea, since the solutions of our j equation are the familiar real numbers +1 and -1. However, many interesting applications arise from these new numbers. The most useful aspect of spacetime numbers is in solving problems in the areas of special and general relativity. These areas deal with the notion of space-time, hence the name "spacetime numbers." My goal is to explain in a direct, yet simple manner, the use of these special numbers.