Two Paradoxes in Relativity
By Robert J. Swartz
The Special and General Theories of Relativity are logically inconsistent and self-contradictory. This can be proven through two paradoxes which I will demonstrate below.
The 3-Clocks Paradox
There are a set of 3 clocks at rest in inertial reference frame R1. These clocks are synchronized, therefore, they tick at the same rate. A velocity of v1 is given to clocks 2 and 3; these 2 clocks are now at rest in inertial reference frame R2. According to Special Relativity, clocks 2 and 3 now tick slower than the first clock. A second velocity v2 is given to clock 3. According to Special Relativity, clock 3 now ticks slower than the second clock. This velocity happens to return clock 3 to rest in R1. According to Relativity, clock 3 now ticks slower than clock 2. But, because clock 3 is at rest with clock 1, clock 3 must now tick at the same rate as clock 1. However, because clock 3 ticks slower than clock 2, and clock 2 ticks slower than clock 1, therefore clock 3 must tick slower than clock 1. This, of course, is a contradiction, because 2 clocks cannot simultaneously tick at different rates and at the same rate.
Special Relativity has implied a contradiction. A contradiction cannot be true; in fact, contradictions are always false. Therefore, Special Relativity has implied something which is false. Something which is true cannot imply something which is false. Therefore Special Relativity cannot be true; so Special Relativity is false.
Are we to believe that time dilation is impossible? Actually, no; it’s possible, but not because of Special Relativity. The problem with Special Relativity is that it claims that time dilation is relative to arbitrary observers. This cannot be the case. However, if there were an absolute reference frame, time dilation can be measured relative to that reference frame, and logical inconsistencies would not take place. If this absolute reference frame existed, and if R1 were in fact this reference frame, then at the end of the experiment, there would be no contradiction: clocks 1 and 3 would tick at the same rate, and clock 2 would tick slower than those two. That’s because R2 is moving with respect to the absolute reference frame.
What is the absolute reference frame? The obvious answer is the luminiferous ether. Since the ether is stationary in space, the ether is the perfect candidate for the absolute reference frame that causes time dilation. Since time dilation has been physically observed in subatomic particles, we can conclude that the faster particles move through the ether, the slower they go through time.
The Accelerating Spring Paradox
The General Theory of Relativity is inconsistent because accelerating reference frames do not treat springs properly. In inertial reference frames, springs don't stretch. However, in accelerating reference frames (relative to the ether), springs stretch. This phenomena cannot be explained by General Relativity. The following scenario discusses why the theory in question is dubious:
Let's suppose we have a spaceship in interstellar space with a crew of aliens onboard. The ship is equipped with an ion engine, which consists of an ion accelerator that accelerates ions up to high speed and then ejects them out of the nozzles (a nuclear reactor is used to power the ion engine). Inside the ship there is a room which consists of a spring mounted on one of the side walls. Attached to the other end of the spring, there is a steel ball. The length of the spring at time T0 is L0. The Exselsior is at rest relative to the sun (which is inertial) at time T0. At time T1, the crew of the Exselsior turns on their ion engine. This causes the spaceship to accelerate forward in a straight line. At that point, the length of the spring is L1, which is longer than L0. The causal chain is as follows: the accelerating force from the side wall is transmitted to the spring; then, the inertial force reacts to the accelerating spring by pulling it back; finally, Hooke's Law takes effect and the tension is restored. Here is the equation: A=The Exceslior's Accelerating Force, I=The Inertial Force, and T= The Tension Force; A-I+T=A.
According to Classical Mechanics, Force = mass * acceleration. This does not take into consideration the following fact: the inertial force. The inertial force is a result of the inertial field and its interaction with accelerating matter. The inertial field exists everywhere in space and it is roughly the same in interstellar space. The inertial field is a property of the ether. It can be expressed as a constant in the F=ma equation: F=ima. The i term technically affects the acceleration. In the spaceship scenario, the spring experiences an inertial force but does not accelerate backwards because it is balanced out by the tension force.
General relativity claims that all continuously moving reference frames are of the same status in physics. This claim is false because the Exselsior moves continuously when the ion engine is on and the spring stretches. When the ion engine is off, the Excelsior also moves continuously, but the spring doesn’t stretch. Therefore, General Relativity is a sham!