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If magnetic field is along the x axis and the velocity of the charged particle in the xy plane making an angle say 45 with the x axis, the motion of particle will be a helix. what will be the orientation of this helix in 3 D space? Since the force on the particle would be along the -z axis, the helix should be between y=0, z=0 and y=0, z=(-2r), please tell me where I am wrong.


If magnetic field is along the x axis and the velocity of the charged particle in the xy plane making an angle say 45 with the x axis, the motion of particle will be a helix. what will be the orientation of this helix in 3 D space?
Since the force on the particle would be along the -z axis, the helix should be between y=0, z=0 and y=0, z=(-2r), please tell me where I am wrong.


Grade:upto college level

1 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
one year ago
In order to explain self-interference phenomenon, a new particle model, based on the intersection of a higher dimensional object with a lower dimensional world, as the source of classical and quantum properties, is proposed. This model suggests that particles are made with a non-material signed current, which travels at the speed of light, through three new curved dimensions. These dimensions occur at atomic scalelengths (10−15 m) rather than at the Planck length (10−33 m). Thanks to this, the old problem of equal sign walls huge electric repulsion force, in the electric sphere model is solved, since these curved dimensions confine these walls, preventing them from coming apart. Moreover, this model also suggests that real fermions are not 3D spheres but 4D toroidal particles, which, by their own nature, print a sinusoidal electric field pattern that occupies all the dimensions of the 3D space when moving (matter wave), and takes a toroidal shape at rest. According to the model, flat fermions present two non-superimposable mirror images (enantiomers) with different 2D magnetic dipole moment orientations. And these 2D magnetic dipole moments appear as the temporal intersection of its 3D toroidal dipole moments (anapole moment). As a consequence, a separation of these enantiomers occurs under a magnetic field in flatland, which is consistent with the Stern-Gerlach results. Since femtometer toroidal structures have been found in nuclei, at its ground state (Mz = 0), this model is consistent with the probable shape of real fermions at such state. As a bonus, the model also suggests the probable structure of real photon, which is a 4D toroid also, but contrarily to real fermions, this object prints a sinusoidal electric field pattern that occupies one dimension less from the three available in 3D space when moving (electromagnetic wave) and it will not rest. As a consequence of the comparison between how the 2D space is intersected by flat fermions and flat photon, mass has been identified as the way in which the lower dimensional world is intersected: if the higher dimensional object intersection uses all the dimensions of the lower dimensional world, the object presents mass, whereas if that intersection uses one dimension less from the dimensions available in the lower dimensional world, which is the case of flat photon, the object presents no 1 mass. Self-interference and the number of turns before being identical are explained for flat fermions and flat photon in 2D space, placing in the same footing those two rather different objects. Probable Fermions geometric properties as well as densities and the magnetic dipole moments are also deduced. Correlations experiments are described for flat electrons, therefore, uncertainty principle appears as a consequence of stochastic interchange between different ways of intersecting the plane by flat fermions and it is an intrinsic space-particle property. Finally, as the number of very different phenomena can be explained with the same model, the intersection of a higher dimensional object in a lower dimensional world is proven to be a powerful concept to explain matter and light

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