Waves on noncommutative spacetimes

Download

index.pdf

Date

2006-01-01

Author

BALACHANDRAN, A P
GUPTA, KUMAR S
Kürkcüoğlu, Seçkin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

178
views

81
downloads

Waves on "commutative" spacetimes like R-d are elements of the commutative algebra C-0(R-d) of functions on R-d. When C-0(R-d) is deformed to a noncommutative algebra A(theta)(R-d) with deformation parameter theta (A(0)(R-d)=C-0(R-d)), waves being its elements, are no longer complex-valued functions on R-d. Rules for their interpretation, such as measurement of their intensity, and energy, thus need to be stated. We address this task here. We then apply the rules to interference and diffraction for d <= 4 and with time-space noncommutativity. Novel phenomena are encountered. Thus when the time of observation T is so brief that T <= 2 theta w, where w is the frequency of incident waves, no interference can be observed. For larger times, the interference pattern is deformed and depends on theta w/T. It approaches the commutative pattern only when theta w/T -> 0. As an application, we discuss interference of starlight due to cosmic strings.

Subject Keywords

Strings, Unitarity, Field

URI

https://hdl.handle.net/11511/33129

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.73.025021

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Differential - Operator solutions for complex partial differential equations Celebi, O; Sengul, S (1998-07-10) The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
On algebraic K-theory of real algebraic varieties with circle action Ozan, Yıldıray (Elsevier BV, 2002-05-24) Assume that X is a compact connected orientable nonsingular real algebraic variety with an algebraic free S-1-action so that the quotient Y=X/S-1 is also a real algebraic variety. If pi:X --> Y is the quotient map then the induced map between reduced algebraic K-groups, tensored with Q, pi* : (K) over bar (0)(R(Y, C)) circle times Q --> (K) over bar (0)(R(X, C)) circle times Q is onto, where R(X, C) = R(X) circle times C, R(X) denoting the ring of entire rational (regular) functions on the real algebraic va...
A note on the minimal polynomial of the product of linear recurring sequences Cakcak, E (1999-08-06) Let F be a field of nonzero characteristic, with its algebraic closure, F. For positive integers a, b, let J(a, b) be the set of integers k, such that (x - 1)k is the minimal polynomial of the termwise product of linear recurring sequences sigma and tau in F ($) over bar, with minimal polynomials (x - 1)(a) and (x - 1)(b) respectively. This set plays a crucial role in the determination of the product of linear recurring sequences with arbitrary minimal polynomials. Here, we give an explicit formula to deter...
On ideals generated by positive operators Alpay, S; Uyar, A (Springer Science and Business Media LLC, 2003-06-01) Algebra structure of principle ideals of order bounded operators is studied.
Inequalities for harmonic functions on spheroids and their applications Zahariuta, V (2001-06-01) Hadamard-type interpolational inequalities for norms of harmonic functions are studied for confocal prolate and oblate spheroids. It is shown that the optimal level domains in such inequalities may be non-spheroidal. Moreover, in contrary with the case of analytic functions, there is an unremovable gap between the corresponding optimal level domains for inner and outer versions of Hadamard-type inequalities for harmonic functions. These results are based on some special asymptotical formulas for associated ...

Citation Formats

A. P. BALACHANDRAN, K. S. GUPTA, and S. Kürkcüoğlu, “Waves on noncommutative spacetimes,” PHYSICAL REVIEW D, pp. 0–0, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33129.