From the Chalkboard

This is topic # 03,  "On Rectilinear Path of the Photon"

{Posted September 2002}

We shall now focus on the subject matter of the rectilinear path of emissions, i.e., the rectilinear fashion by which the photons and the gravitons of all emissions in nature takes place; a fundamental principle of the Extinction Shift Principle.

Let there come into existence a particle in natures microscopic laboratory and represent a moving source which emits a spherical wave shortly after it is born.  Let us assume again we have an ideal vacuum that is void of any secondary sources of emissionNo interfering dipole emitters or scattering media exist. The particle emits a short burst of many photons whose velocities of motion abide strictly by the electrodynamics of Galilean Transformations of velocities in Euclidean Space according to the principal axioms of the Extinction Shift Principle described here and in detail in the book.

Let this newly born particle move along with uniform velocity v as illustrated below and emit a spherical wave consisting of many, many photons, whose velocities are exactly c relative to (pointing away from) the primary source indicated by the red dot.

Under Electrodynamics of

Galilean Transformations in Euclidean Space Geometry

Animation ca 30 sec

Here, the photons that make up each constituent part of the expanding spherical wave all move with precisely the velocity c relative to a uniformly moving (virtual point "x") that moves along with and coincides with the uniformly moving primary source particle (red dot), but with the velocity  c' (a velocity other than that of c) relative to a hypothetical observer located in the stationary frame of reference.  If the source velocity is v, then that portion of the spherical wave directly in front of the primary source moves according to Galilean Transformations with velocity  c+v relative to the stationary frame while that portion of the spherical wave directly behind the primary source moves with velocity  c-v relative to the stationary frame.

Note:  After the source (red dot) dies, the many photons that make up the spherical wave continue as illustrated, each precisely along a rectilinear path, while the center of the undisturbed expanding sphere (virtual point "x") continues linearly with velocity v of the source.  The uniform motion of "x" will continue for ever and ever as long as the spherical wave of primary photons are undisturbed. This velocity v of the no longer existing primary source is recalled "remembered" in the geometry of the expanding sphere, as would be noted by our hypothetical observer.

Review the Illustration again for Clarity

Now, let a moving source particle (red dot) this time moves along in a circular path {confined to orbit}.  The source emits here again a spherical wave containing many, many photons, all of which move strictly rectilinearly relative to the instantaneous position of the center "x" of the undisturbed expanding spherical shell of photons. This time the source particle lives on and is bound to circular motion.

Note:  The electrodynamics of Galilean Transformations of velocities in Euclidean Space predicts that the path of the source (red dot) will deviate this time from the path of "x", the center of the undisturbed expanding sphere which moves with velocity v of the source in a direction that is tangent to the circular path of the moving source at the point of emission of the burst of photons.

As a Gedankenexperiment exercise, try to correctly imagine this picture firstly before you click below for the animation of this exercise. {Viel Glück!}

Click Here Above

From the geometry of the rectilinear motion the transverse relative time shift, a mathematical equivalence of the Relativistic time dilation, is derived.  A similar treatment using gravitons of gravitation permits a calculation of the perihelion rotation effects of the planet Mercury and of the PSR1913+16 neutron pulsar star system.

This geometry of the rectilinear motion, an essential tool for grasping the technique of this emission theory, is treated neither in the textbooks nor in the earlier emission theories.