Self-Organization and Emergence

Heinz von Foerster 100

Organizing Institutions:

Heinz von Foerster Gesellschaft / Wien

ASC – American Society for Cybernetics

WISDOM – Wiener Institut für

sozialwissenschaftliche Dokumentation und Methodik

Institut für Zeitgeschichte | Universität Wien

AINS – Austrian Institute for Nonlinear Studies

Heinz von Foerster Gesellschaft / Wien

ASC – American Society for Cybernetics

WISDOM – Wiener Institut für

sozialwissenschaftliche Dokumentation und Methodik

Institut für Zeitgeschichte | Universität Wien

AINS – Austrian Institute for Nonlinear Studies

Luis de la Peña, Ana María Cetto and Andrea Valdés-Hernández

Quantization as an emergent phenomenon due to the matter-zeropoint field interaction

Instituto de Física, UNAM. Ap. Postal 20-364, 01000 México DF, Mexico.

Quantum mechanics is derived as an emergent phenomenon, produced by the permanent

interaction between matter and the background zero-point radiation field.

The starting point for the derivation is the assumption that the stochasticity of

quantum mechanics is due to the action of the fluctuating vacuum - specifically

the (continuous) zero-point electromagnetic radiation field of mean energy

(hbar.omega/2) per normal mode. Firstly, a thermodynamic and statistical analysis

of the consequence of the presence of this athermal energy leads (without quantum

assumptions) to the Planck distribution law, and hence to the quantization of the

energy exchange between matter and radiation field.[1]

Secondly, the problem of the quantization of matter is approached from the same

perspective. A detailed study of the dynamics of an (otherwise classical) particle

embedded in the random zero-point field shows that when the entire system eventually

reaches a situation of equilibrium, the material part of the system has acquired

characteristic quantum properties. In other words, when detailed energy balance

holds, the `quantum regime' is attained, as described by usual quantum mechanics.[2,3]

To obtain the quantum mechanical description it has been necessary to do a partial

averaging and to take the radiationless approximation; inclusion of the neglected

radiative terms allows to establish contact with quantum electrodynamics.[4]

Quantum mechanics emerges therefore as a partial, approximate and time-asymptotic

description of a phenomenon that in its original description is entirely local and causal.

[1] L. de la Peña, A. Valdés-Hernández and A. M. Cetto, Am. J. Phys. 76 (2008) 947.

[2] L. de la Peña, A. Valdés-Hernández and A. M. Cetto, Found. Phys. 39 (2009) 1240.

[3] L. de la Peña, A. Valdés-Hernández, A. M. Cetto and H. M. Franca, Physics Letters A 375 (2011) 1720.

[4] A. M. Cetto and L. de la Peña, to be published.

Luis de la Peña is Emeritus Professor at the Instituto de Física,

Universidad Nacional Autónoma de México (UNAM). With a Ph. D. in

Theoretical Physics from Moscow State University (1964), his main area

of interest is the foundations of quantum theory, in which he has

contributed substantively to the stochastic theory of quantum

mechanics and stochastic electrodynamics. Author of more than 100

research papers and 10 books, among them a widely known university

text on quantum mechanics (in Spanish) and the research monograph The

Quantum Dice, with A. M. Cetto (Kluwer, 1996). Recipient of the

Presidential Award for Arts and Sciences (2002).

Ana María Cetto is Professor at the the Instituto de Física,

Universidad Nacional Autónoma de México (UNAM). With a n M.D. in

Biophysics from Harvard University and a Ph. D. in Physics from UNAM

(1971), her main area of research is in the foundations of quantum

mechanics, with significant contributions to the stochastic theory of

quantum mechanics and stochastic electrodynamics. Previously Deputy

Director-General of the International Atomic Energy Agency (Vienna,

2003-2010), she is also founding president of Latindex, online

information system for Ibero-American scholarly journals. Woman of the

Year (Mexico) 2003.

Andrea Valdés Hernández obtained her PhD in 2010 at the Universidad

Nacional Autónoma de México (UNAM), under the direction of Luis de la

Peña. She has contributed to the more recent developments of linear

stochastic electrodynamics, particularly approaching the problem of

entanglement between two particles from the perspective of such

theory. She is currently a post-doctoral fellow with the Optics and

Quantum Information group at the Universidade Federal do Rio de

Janeiro, Brazil.