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ABSTRACT: The origin and foundation of the time dilation factor, gamma, is a particular equation based on a particular right triangle and the Pythagorean theorem.
The hypotenuse is NOT the longest side of the right triangle.
It is a rule of physics that the hypotenuse is the longest side of a right triangle.
Therefore, this right triangle is invalid.
In the equation the terms Ct, Ct’, and vt are the three sides of the right triangle, the hypotenuse, vertical leg and horizontal leg, respectively.
Previously stated, the lengths of the vertical leg and the hypotenuse are constant.
The length of the horizontal leg varies with speed v. The length of the horizontal leg is NOT constant.
Therefore, the equation is invalid.
1. INTRODUCTION: Is gamma, the time dilation factor, valid?
2. THE EQUATION: The equation (vt)²+(Ct’)²=(Ct)² is based on the right triangle in which Ct’ is the vertical leg, Ct is the hypotenuse and vt is the horizontal leg. Solved for t, t=t’*(1/sqrt(1-(v²/C²))) or t=t’*gamma, it is the origin of gamma, the time dilation factor.
The length of the vertical leg is the length of Ct’. Since the vertical leg is perpendicular to the direction of motion the length of Ct’ is constant. The length of the hypotenuse is the length of Ct. Since the hypotenuse is in the frame in which the observer is at rest the length of Ct is constant. The horizontal leg is in the direction of motion. The length of the horizontal leg is the length of vt, which varies with speed v. The length of vt is not constant.
4. RESULTS: The right triangle and the equation, which are the basis of gamma, are proved invalid. Therefore, the time dilation factor and gamma as derived are invalid.
5. REFERENCES: All facts, stated or inferred, are well understood by those in the arena.
The last reply to “The Time Dilation Factor Oversight” thread by PmbPhy was more than insulting.
He clearly attacked and intentionally offended me.
He made it obvious that he decided for every one else that I have zero credibility.
If people are attacked for thinking outside the box in “New Theories” what is the point?