Can a Particle Reflect From an Infinite Potential
Researchers from the Complutense Academy of Madrid (UCM, Espana) have mathematically shown that particles charged in a magnetic field tin escape into infinity without ever stopping. One of the conditions is that the field is generated by current loops situated on the same aeroplane.
At the moment this is a theoretical mathematical written report, but two researchers from UCM have recently proved that, in certain atmospheric condition, magnetic fields can send particles to infinity, co-ordinate to the study published in the journal Quarterly of Applied Mathematics.
"If a particle 'escapes' to infinity it means two things: that it will never stop, and "something else", Antonio Diaz-Cano, 1 of the authors, explained to SINC. Regarding the first, the particle tin can never stop, simply it tin can be trapped, doing circles forever around a point, never leaving an enclosed space.
However, the "something else" goes beyond the established limits. "If we imagine a spherical surface with a big radius, the particle will cross the surface going away from it, withal big the radius may be" the researcher declares.
Scientists have confirmed through equations that some particles tin escape infinity. One condition is that the charges move below the activeness of a magnetic field created past current loops on the same plane. Other requirements should also be met: the particle should be on some point on this plane, with its initial speed existence parallel to it and far away enough from the loops.
"Nosotros are not saying that these are the only conditions to escape infinity, there could be others, but in this case, we have confirmed that the phenomenon occurs", Diaz-Cano states. "We would have liked to accept been able to try something more full general, but the equations are a lot more circuitous".
In whatever instance, the researchers recognise that the ideal weather for this written report are "with a magnetic field and nothing else". Reality ever has other variables to exist considered, such as friction and there is a afar possibility of going towards infinity.
Nonetheless, the movement of particles in magnetic fields is a "very significant" problem in fields such as applied and plasma physics. For example, one of the challenges that the scientists that written report nuclear free energy face is the confinement of particles to magnetic fields.
Accelerators such as Large Hadron Collider (LHC) of the European Organisation for Nuclear Research (CERN) also used magnetic fields to accelerate particles. In these conditions they exercise not escape to infinity, only they remain doing circles until they acquire the speed that the experiments need.
An space mystery
The existence of infinity has been debated since the times of aboriginal Greek civilisation. The fact that the idea can lead to logical contradictions developed the "fear of infinity", a doubt that has remained over the course of centuries. At the beginning of the twentieth century, the great German language mathematician David Hilbert (1862-1943) said that mathematic literature is "riddled with mistakes and absurdities, largely due to infinity". Some experts believe that it has not advanced much since ancient Greek times because debate remains open up about current or real infinity (understood every bit a whole) and potential infinity (which grows or divides with no end) equally Aristotle considered. However, it is also true that mathematicians accept learned to handle infinity with certain skill, above all the work of the Russian Georg Cantor (1845-1918), which introduced different types of infinity. For example, a countable infinity, with natural numbers, is not the same as a straight, he continued. In any case, infinity is an elusive concept that has besides stimulated inquiry in many areas of mathematics, such equally infinitesimal calculus. One of this scientific discipline'due south big problems during the twentieth century was the "continuum hypothesis". Information technology essentially means knowing if there is an 'intermediate' infinity betwixt countable and continuous infinites. In improver, as well equally mathematical infinity, there is a physical one that, at the same time, tin can accept two meanings, one applied and the other cosmological: Is the universe finite or infinite?
More data: A. Díaz-Cano and F. González-Gascón. "Escape to infinity in the presence of magnetic fields". Quarterly of Applied Mathematics seventy (1): 45-51, March 2012.
Provided by FECYT - Spanish Foundation for Science and Engineering science
Citation: Magnetic fields can transport particles to infinity (2012, April 17) retrieved 17 February 2022 from https://phys.org/news/2012-04-magnetic-fields-particles-infinity.html
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