IJPAM: Volume 39, No. 4 (2007)
THE PLANCK SCALE AND AGENT BASED
SIMULATIONS OF QUANTUM SPACETIME
SIMULATIONS OF QUANTUM SPACETIME
Ralph Abraham
, Sisir Roy
Department of Mathematics
University of California
Santa Cruz, CA 95064, USA
e-mail: [email protected]
Physics and Applied Mathematics Unit
Indian Statistical Institute
Kolkata, 700035, INDIA
e-mail: [email protected]
Center for Earth Observing and Space Research
College of Science
George Mason University
Fairfax, VA 22030, USA
, Sisir Roy
Department of Mathematics
University of California
Santa Cruz, CA 95064, USA
e-mail: [email protected]
Physics and Applied Mathematics Unit
Indian Statistical Institute
Kolkata, 700035, INDIA
e-mail: [email protected]
Center for Earth Observing and Space Research
College of Science
George Mason University
Fairfax, VA 22030, USA
Abstract.Macroscopic spacetime (or its underlying mesoscopic or microscopic substratum) has been shown to emerge
from a more fundamental concept, a cellular network.
A NetLogo model of spacetime that self-organizes
from such a microscopic cellular network is described here. This will shed new light on understanding spacetime at the Planck scale.
Received: May 4, 2007
AMS Subject Classification: 05C99, 52C17, 81R40
Key Words and Phrases: Planck scale, NetLogo, self-organization, cellular network
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 4
