The string uncertainty relations follow from the new relativity principle

Authors
Citation
C. Castro, The string uncertainty relations follow from the new relativity principle, FOUND PHYS, 30(8), 2000, pp. 1301-1316
Citations number
38
Categorie Soggetti
Physics
Journal title
FOUNDATIONS OF PHYSICS
ISSN journal
00159018 → ACNP
Volume
30
Issue
8
Year of publication
2000
Pages
1301 - 1316
Database
ISI
SICI code
0015-9018(200008)30:8<1301:TSURFF>2.0.ZU;2-M
Abstract
Stringy corrections to the ordinary Heisenberg uncertainty relation shave b een known for some time. However, a proper understanding of the underlying new physical principle modifying the ordinary Heisenberg uncertainty relati ons has not yet emerged. The author has recently proposed a new scale relat ivity theor as a physical foundation of string and M theories. In this work the stringy uncertainty relations, and corrections thereof, are rigorously derived from this new relativity principle without any ad-hoc assumptions. The precise connection between the Regge trajectory behavior of the string spectrum and the area quantization is also established.