Derivation of Einstein's Time Dilation Equation
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11 سال پیش
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In this video, a derivation
In this video, a derivation of Einstein's time dilation equation is shown. Furthermore, a very simple application is given towards the end.
The concept of relative time was something very new in 1905.
It is important to note that this experiment of the mind, which lead to the concept of time dilation, was promoted from hypothesis to scientific theory as experimental data yielded strong supporting evidence.
Furthermore, it lead Einstein to the concept of relativistic mass and finally to his special theory, both of which have also been experimentally verified on numerous occasions.
He was to receive a Nobel prize for his work on the photoelectric effect, but not for his work on relativity.
The formula shows that mass and energy are interchangeable. When the uranium nucleus undergoes fission, the mass of the products is less. The decrease or change in mass is proportional to the change or increase in energy. When an electron (e.g. matter) and positron (anti-matter) collide, ALL of the mass is converted to energy (gamma radiation). In this case, all of the mass of the initial particles is equal to the change in mass. In other words, in this case, delta m (change in mass) = m. The m represents the mass that is converted to energy. Sometimes a small proportion of the mass changes into energy and sometimes all of the mass changes into energy. When the mass is converted, it will produce a change in mass. Hence, technically, the formula must contain delta m.
By the way, the opposite can occur. A decrease in the amount of energy can produce an increase in the amount of matter. As I have already stated. E and m are interchangeable. This is the very essence of Einstein's special theory.
The concept of relative time was something very new in 1905.
It is important to note that this experiment of the mind, which lead to the concept of time dilation, was promoted from hypothesis to scientific theory as experimental data yielded strong supporting evidence.
Furthermore, it lead Einstein to the concept of relativistic mass and finally to his special theory, both of which have also been experimentally verified on numerous occasions.
He was to receive a Nobel prize for his work on the photoelectric effect, but not for his work on relativity.
The formula shows that mass and energy are interchangeable. When the uranium nucleus undergoes fission, the mass of the products is less. The decrease or change in mass is proportional to the change or increase in energy. When an electron (e.g. matter) and positron (anti-matter) collide, ALL of the mass is converted to energy (gamma radiation). In this case, all of the mass of the initial particles is equal to the change in mass. In other words, in this case, delta m (change in mass) = m. The m represents the mass that is converted to energy. Sometimes a small proportion of the mass changes into energy and sometimes all of the mass changes into energy. When the mass is converted, it will produce a change in mass. Hence, technically, the formula must contain delta m.
By the way, the opposite can occur. A decrease in the amount of energy can produce an increase in the amount of matter. As I have already stated. E and m are interchangeable. This is the very essence of Einstein's special theory.
11 سال پیش
در تاریخ 1392/05/06 منتشر شده
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