Definition of the elements of length and time by means of photon
نویسنده
چکیده
It is considered the procedure of definition of the elements of length and time by means of photon. In order to define the element of length one needs an a priori given element of time. In order to define the element of time one needs an a priori given element of length. It is taken the laboratory time and length as a priori given time and length respectively. It is defined the elements of length and time for the reference frame moving with the velocity v and for the reference frame with the gravitational potential Φ. The elements of length and time can be defined by means of photon. Given the element of time t, one can define the element of length as a path covered by photon for the time t l = ct. (1) Given the element of length l, one can define the element of time as a duration required for photon to cover the distance l t = l c . (2) From this it follows that in order to define the element of length by means of photon one needs an a priori given element of time. It is natural to take the laboratory time as an a priori given time. In order to define the element of time by means of photon one needs an a priori given element of length. It is natural to take the laboratory element of length as an a priori given element of length. Take two reference frames and define the elements of length and time by means of photon moving from the second frame to the first frame. Let the first frame be the laboratory one. Take the time of the first frame as an a priori given time. Consider the case when the velocities and gravity in the second frame are negligible v ≪ c, Φ ≪ c. Photon moving from the second frame to the first frame defines an euclidean element of length l = ct. (3) Consider the case when the second frame moves with the velocity v in the direction perpendicular to the direction towards the first frame. Photon emitted by the second frame possesses the component of velocity v in the direction of the motion of the second frame. In the direction towards the first frame, photon possesses the component of velocity
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