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**New Theories / The Time Dilation Factor Oversight**

« **on:**24/02/2014 05:58:30 »

The interim replacement for “The Time Dilation Factor – gamma Oversight (Draft)“ is reply number 27 of this thread. This version is only here for the record.

The Time Dilation Factor – gamma Oversight (Draft)

Thorntone Errick Murray February 24, 2014

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 of the right triangle is in the inertial frame in which the observer is at rest. For that reason its length is constant. The vertical leg is perpendicular to the direction of motion. For that reason its length is constant. When the relative speed (speed v) is zero the vertical leg is in the frame in which the observer is at rest. In that frame the length of the hypotenuse and the length of the vertical leg are equal. As both lengths are constant, they are equal for any relative speed less than C. 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. It is a rule of physics that in an equation of only three terms when two of the terms are constant the third term is also 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. It is a rule of physics that in an equation of only three terms when two of the terms are constant (Ct’ and Ct) the third term is also constant. Therefore, the equation is invalid.

3. THE RIGHT TRIANGLE: In the frame in which the observer is at rest t’=t. Then, in the frame in which the observer is at rest the length of Ct’ is equal to the length of Ct. The length of the vertical leg is the length of Ct’. When speed v=0 the vertical leg is in the frame in which the observer is at rest and the length of the vertical leg, the length of Ct’, is equal to the length of Ct. Since the vertical leg is perpendicular to the direction of motion its length is constant. Then, the length of the vertical leg is equal to the length of Ct, which is constant. The length of the hypotenuse is also the length of Ct, which is also constant. 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, the right triangle is invalid.

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.

Butchmurray – Thorntone Errick Murray

The Time Dilation Factor – gamma Oversight (Draft)

Thorntone Errick Murray February 24, 2014

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 of the right triangle is in the inertial frame in which the observer is at rest. For that reason its length is constant. The vertical leg is perpendicular to the direction of motion. For that reason its length is constant. When the relative speed (speed v) is zero the vertical leg is in the frame in which the observer is at rest. In that frame the length of the hypotenuse and the length of the vertical leg are equal. As both lengths are constant, they are equal for any relative speed less than C. 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. It is a rule of physics that in an equation of only three terms when two of the terms are constant the third term is also 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. It is a rule of physics that in an equation of only three terms when two of the terms are constant (Ct’ and Ct) the third term is also constant. Therefore, the equation is invalid.

3. THE RIGHT TRIANGLE: In the frame in which the observer is at rest t’=t. Then, in the frame in which the observer is at rest the length of Ct’ is equal to the length of Ct. The length of the vertical leg is the length of Ct’. When speed v=0 the vertical leg is in the frame in which the observer is at rest and the length of the vertical leg, the length of Ct’, is equal to the length of Ct. Since the vertical leg is perpendicular to the direction of motion its length is constant. Then, the length of the vertical leg is equal to the length of Ct, which is constant. The length of the hypotenuse is also the length of Ct, which is also constant. 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, the right triangle is invalid.

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.

Butchmurray – Thorntone Errick Murray