Abstract
Although the formula of mass-energy equivalence was derived from the hypothesis that the speed of light in free space is constant, conversely, the purpose of this research is to show that a method of probabilistically determining whether the speed of light is constant is derived from this formula. By considering the formula of mass-energy equivalence to be a function of the energy of an object moving at speed V, the probability density function (PDF) of the energy can be obtained using the inverse function of this formula, if the speed of light obeys a probability distribution. The main result is that the PDF of the energy diverges to infinity at a certain energy value regardless of the PDF of the speed of light. Thus, when the speed calculated from this value enters a certain range of the speed of light as V increases stepwise from below 299,792,458 m/s, the PDF of the energy should increase abruptly. If not, then the speed of light is constant. This is the method of probabilistically determining whether the speed of light is constant. An experimental method is proposed to confirm this.
Highlights
Albert Einstein published the theory of special relativity in 1905 [1]
The formula of mass-energy equivalence was derived from the hypothesis that the speed of light in free space is constant, the purpose of this research is to show that a method of probabilistically determining whether the speed of light is constant is derived from this formula
By considering the formula of mass-energy equivalence to be a function of the energy of an object moving at speed V, the probability density function (PDF) of the energy can be obtained using the inverse function of this formula, if the speed of light obeys a probability distribution
Summary
Albert Einstein published the theory of special relativity in 1905 [1]. The theory is on the relationship between space and time. One of its results is mass-energy equivalence: E = mc, where E is the energy of an object when it is moving, m is its mass while moving and c is the speed of light. One is that the speed of light in free space is constant for all observers, regardless of their relative motion or of the motion of the light source.
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