﻿ Particle Spin

The Heavens Declare His Handiwork

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Thomas Lee Abshier, ND

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Particle Spin

By: Thomas Lee Abshier, ND

When a moving electron encounters a magnetic field, it experiences a force at right angles to its velocity and the B field vector.

· This force causes the electron to turn in the direction of a left handed screw.

· The Force on the moving electron is related to its velocity and the magnetic field by the equation: F = qv x B

§ F = the Force vector (strength and direction) on a positron produced by the magnetic field vector (units = newtons)

§ q = the number of charges (unit = coulombs)

§ v = the velocity vector (direction and speed) of the charge (units = m/sec)

B = the Magnetic field vector (magnitude and direction) acting on the charge (units = newtons/coulomb-m/sec = Tesla)

Illustration – Elementary Particle Spin: The spin of the particle is an artifact.  Nothing in the charged particle actually spins.  The charged particle appears to spin because the magnetic field emitted by the particle causes a moving charge to turn left or right in relationship to the B field.  The magnetic field is a spherical field of vectors which change direction at each angle è from North to South Pole.

· The force generated by the B field on a moving charge is by definition an E Field.

§ In other words, any force that acts on a charge and causes it to accelerate is an E field.

• The radial E field generated by a charge on another charge is the Static E field.
• The Force on a charge acting perpendicular to the particle’s magnetic field is the Dynamic E field.

· The equation representing the force generated by the Static E field is as follows: FEstatic = qEstatic

§ q = the number of charges being acted on by an E field (coulombs)

§ E = the E field acting on the charge (newtons/coulomb)

§ FEstatic = the amount of force experienced by the charges as a result of the E field acting on it.

· The equation representing the force of the Dynamic E Field is:

§ FEdynamic = qv x B

§ In this equation the “x” represents the vector cross product.

§ The cross product is defined as a mathematical operation where multiplication of the magnitudes of two vectors perpendicular to each other produces a vector perpendicular to the plane of those two vectors.

• Note: the cross product is a mathematical process that is used to represent physical processes where a particle interacts with a field, and the resulting force is at 90° to the field.
• The mathematical model was created to provide a representational tool to describe a physical process.

· Thus, the total E field force experienced by a test charge passing by a source charge will be a combination of the force from the Static E field and Dynamic E field.

§ Etotal = Estatic + Edynamic

• Estatic = E field vector on a test charge due to the radial field emanating from the source charge.
• Edynamic = E field vector due to the perpendicular force generated by the test charge moving through the source charge’s magnetic field.

· The Spin of the electron and positron are identical in that they both have a North and South Pole.

§ But, a + and - test charge will turn in opposite directions when they encounter the same B field.

§ Thus, the B field provides a frame of reference.  The charged particle will interact in a predictable manner in response to the orientation of the B field.

• If the B field points in a particular direction, then the electron will move at 90° in relationship to the magnetic field and the electron’s velocity.
• In response to that same B field, a positron will move in a direction 180° from the velocity of the electron.