The Lorentz Factor Conflict MMXI

Thorntone E. ‘Butch’ Murray

May 2011

Problem

When the results of length contraction calculations are applied in the Pythagorean theorem, length perpendicular to the direction of motion is unique for different velocities.This conflicts with the Special Relativity stipulation to the contrary.

Hypothesis

“When one side of a triangle has a fixed length and the length of another side is changed the length of the remaining side must also change.” This property of triangles dictates that since the ‘light path’ the hypotenuse has a fixed length and the length of another side is changed with velocity the remaining side, length perpendicular to the direction of motion, must also change. This contradicts Special Relativity.

Additionally, at relative rest the length of the light path and length perpendicular to the direction of motion are equal. When in relative motion the light path becomes the hypotenuse of a right triangle. The hypotenuse of a right triangle is the longest side. The length of the light path and length perpendicular to the direction of motion are no longer equal. One or both of these two lengths has changed. Change of either of these lengths contradicts Special Relativity.

Data

The light path – c is fixed at 1

a2=c2-b2

a2=c2-.4352 a2=1-.189 a2=.811 a=.900

a2=c2-.52 a2=1-.25 a2=.75 a=.866

a2=c2-.9952 a2=1-.990 a2=.01 a=.1

The ‘light path’, the hypotenuse ‘c’, has a fixed length and the length of another side is changed with velocity the remaining side, length perpendicular to the direction of motion, must also change.

Conclusion

The Lorentz factor is a corner stone of Special Relativity. It, however, either conflicts with the Special Relativity tenet that length perpendicular to the direction of motion does not change OR that the speed of light is constant OR both.

Prediction

Chaos will ensue.