ABSTRACT

Abstract ........................................................................................................4 1.1 Introduction .........................................................................................4 1.2 Brownian Motion ................................................................................5 1.3 Theory of Chaos ..................................................................................7 1.4 Purpose of Dialectic Walk on Science ................................................9 1.5 Time Magnification Used to Measure Chaotic

Pulses in Real Time ...........................................................................10 Acknowledgment ....................................................................................... 11 Keywords ................................................................................................... 11 References .................................................................................................. 11

FRANCISCO TORRENS1,* and GLORIA CASTELLANO2

1Institut Universitari de Ciència Molecular, Universitat de València, P. O. Box 22085, E 46071 València, Spain 2Departamento de Ciencias Experimentales y Matemáticas, Facultad de Veterinaria y Ciencias Experimentales, Universidad Católica de Valencia San Vicente Màrtir, Guillem de Castro-94, E 46001 València, Spain

*Corresponding author. E-mail: [email protected]

ABSTRACT

Brownian motion (BM) describes the random motions of the microscopic particles that are subjected to the saturation bombing from the invisible molecules of water or gases. The botanist Robert Brown was the first to observe it, while he examined in his microscope study some pollen particles that floated in the water of his slide, but Albert Einstein described it in a mathematical way. BM explains how pollution disperses through air or water and describes many random processes from floods to stock market. Its unpredictable steps are related to fractals. The theory of chaos (TC) states that small changes in circumstances can have further important consequences. If one leaves home 30 s later, besides missing the bus, he perhaps loses a meeting with somebody that goes to redirect him to a new job, changing the course of his life forever. The TC is applied to an overall meteorological weather, where an eddy can burst a hurricane on the other side of the planet (butterfly effect). However, chaos is not chaotic in a literal meaning as it causes some patterns. A technique that provides the ability to expand timescales in optics was used to measure ultrafast, intense light pulses directly. Observations from experiments confirmed theoretical predictions made decades ago and could play a role in the prediction of high, sudden, and rare rogue waves on the surface of the oceans or the appearance of other extreme events in nature. Waves similar to rogue waves exist in optics in the form of short and intense light pulses.