# Join Me at SMTA Pan Pacific 2023 to Learn about the Twin Paradox

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• Folks,

Although my PhD is in materials science, my BS was in engineering physics. While getting my BS, I studied Einstein’s special theory of relativity, which was first presented in a paper in 1905 titled, “On the Electrodynamics of Moving Bodies.” This paper was part of his Annus Mirabilis[i] (Miracle Year). Einstein published four papers that year that revolutionized physics. In addition to the special relativity paper, he wrote a paper explaining Brownian motion which established the existence of molecules and atoms. In another paper, he explained the photoelectric effect, which helped establish quantum mechanics. For this paper, he won the Nobel Prize in Physics. In a final paper, Einstein developed arguably the most famous equation in the world: E=mc2. It is interesting to consider that he accomplished all of this work while being a patent clerk in the Swiss patent office. These four papers, plus his general theory of relativity developed in 1915, are part of the foundation of modern physics. It would be difficult to overstate the magnitude of all of these accomplishments.

The paper, “On the Electrodynamics of Moving Bodies,” resulted in the concept more commonly called the Special Theory of Relativity. It is “special” because it only deals with reference frames that are in uniform velocity, or in other words, not accelerating. These types of reference frames are shown in Figure 1. Part of the Special Theory of Relativity states that no experiment can be performed to show that a reference frame is stationary or moving with a uniform velocity. If a person throws a ball in either reference frame as show in Figure 1, its motion will be the same.

Figure 1. The reference frame on the left is stationary, while the one on the right is traveling with a constant velocity. In both cases, the ball will have the same flight pattern.

What does "relative" mean? Most people assume that time, distance, and mass are absolute. One hour is a constant, one meter is a constant, as is one kilogram. The Special Theory of Relativity posits that none of these metrics are constant. The only constant is the speed of light in a vacuum, which measures the same in any reference frame that is stationary or moving at a constant velocity.

This fact that the speed of light measures the same in a stationary and a moving reference frame results in several interesting “paradoxes.” One is that if one twin travels to a star six light years away at 60% of the speed of light and returns at the same speed, she will have aged 16 years, whereas her twin sister, who stayed on the earth, will have aged 20 years!

I will be explaining this paradox at SMTA Pan Pacific 2023. Join us to see this and many electronic assembly presentations.

Cheers,

Dr. Ron