Relativistic analysis of the relativity of simultaneity

Keywords: Relativity, at the same time, relativity, the speed of light, time, movement of: Wu Xing Guang China中国

According to relativity, the speed limit issue, then how to deal with the speed limit?      

(In the reference frame O) object A to the speed of light, and the other object B with a small speed V relative to the object A movement, then object B, the speed of an object A is the number? The object A and object B's speed is how much? If another object D and object B phase stationary, similarly to the velocity V, and the same direction, (e.g. A, B at the both ends of an object).

Then the same relativistic speed superposition formula derived objects A and B speed C. According to relativity time on relativity formula both time contraction; to draw both space contraction same based on the relativistic length contraction formula. A physical phenomenon of two objects is the same? The answer is no. Should also be considered a question of the direction of movement.

Relative at the same time, 'a train (S' Department) Einstein constant speed relative to the ground (S Series) moving to the right, A, B two signal receivers were placed in the Einstein train them the midpoint M of placing an optical signal generator. Provided at a certain time, M is an optical signal is emitted. A receives the optical signal is referred to as Event 1, B receives the optical signal referred to as the Event 2.

    Lines observed in S ', MA = MB, each directional light signal propagation speed is C, so the optical signal must be at the same time spread to two susceptors, i.e. Event 1 and Event 2 occur simultaneously.

Observed in both the same event, in S Because A, B are moved together with the S 'department, in the light signal issued from the M A is reached, this period of time, A is facing the light some distance away; while in the light signal issued within this period of time to reach B from M B was carrying a light some distance away. Optical signal propagation speed in each direction c, so that the event 1 occurs first, the event 2 occurred after. '[1] A, B phase alone is not the movement? The answer is yes. In light, the speed of the object A is? Drawn in the light according to the relativistic velocity equation opinion, the speed of the object A is C. Similarly, in the light directed to the B's opinion the speed of the object B is C.

The contraction formula superposition formula based on the theory of relativity speed, time, and space contraction formula, such objects can not be calculated, that is not the case. No time to draw a series of conclusions of the theory of relativity, Einstein had already carried out the calculation.

We need to consider the movement of the objects A, B, speed, direction. A, B although relative directed to their own speed of light is the same, but toward the light due to a movement, a distance from the light movement, will cause different results. 'Because A, B are moved together with the S' Department of the optical signal sent from the M-A is reached, this period of time, A is facing the light some distance away; reaches B of this paragraph is in the optical signal sent from the M time, B was carrying a light walk some distance. Optical signal propagation speed in each direction c, so that the event 1 occurs first, the event 2 occurred after. 'Here we discuss the problem is not a different direction different results, but to discuss the issue of speed limit. New start to push the relativistic speed superimposed formula derived. First, we assume that the constant speed of light, to solve the problem of the light source or the observer's movement, the movement of the light source or the observer has no effect on the speed of light; Then we arrive at the same time the relative constancy of the speed of light; relativity of simultaneity in turn leads to time relative , re-export the space relative speed superposition formula. Again according to the speed of the superimposed formula, not analyze an object with respect to the velocity motion of the object is in motion, including the object with respect to the light movement. For example, the observer with respect to the movement of light. Observer or light source relative to the movement of the light back to the assumption of constant speed of light. Understanding of the speed of light the same assumptions, the relativity of simultaneity. Relativity of simultaneity in the movement of the observer on the speed of light, causing what impact, but also to use what?

'Because A, B are moved together with the S' lines in the optical signal sent from the M-A is reached, this period of time, A is facing the light some distance away; this period of time to reach B in the optical signal sent from the M within, B was carrying a light to go for some distance. Optical signal propagation speed in each direction c, so that the event 1 occurs first, the event 2 occurred after. '

Why event occurs first event 2 occurring after? Because exercise can alter the spatial distance between the two objects. Whether (this) object moving at what speed, including the speed of light, another motion of the object will change the spatial distance between the two objects. Causing the object to reach another object, the time becomes longer or shorter.

Means that the speed of light is constant, then the processing object relative to the 'light or the speed of light moving objects' movement, need 'movement can change the spatial distance between the two objects' conclusions.

Exercise can change the spatial distance between two objects. That S = vt.

The movement of an object can change the spatial distance between the two objects, direct inference is the relative speed of the change. The spatial distance between two objects is S, the movement speed V of the object, then the object (A) reaches another object (B) the time used is t = S / V. If another object B movement, thereby causing the object to reach another objects time becomes longer or shorter. Time t used by the object A reaches another object B change. Another object B is movement, on another object itself is not moving (i.e., to another object, as a reference system), another object B and object A is a space between the distance from an object A to another object B The distance itself. In another object starts moving when the distance between the two objects A is the distance between the two, i.e. the distance between the two with another object B does not move when the distance S. Therefore, in the opinion of the object A to another object B speed V = S / T. T and t is different from the velocity V is different. Which means that the speed changes. (This is the origin of the synthesis of the classic speed.)

Why the Games of the object to the object to reach another object, the time becomes longer or shorter? 'Because A, B are moved together with the S' lines in the optical signal sent from the M-A is reached, this period of time, A is facing the light some distance away; this period of time to reach B in the optical signal sent from the M within, B was carrying a light to go for some distance. Optical signal propagation speed in each direction c, so that the event 1 occurs first, the event 2 occurred after. 'Here from the light source seems A has been facing the light some distance away, and that the movement to change the spatial distance between two objects, the constant speed of light in the light source seems, from the change in the space between two objects, which light reaches A time shorter; while the A (i.e., with itself as the reference frame) A felt is stationary [2], and the spatial distance between two objects change is caused due to the movement of the light, so opinion in A, the spatial distance between the two objects change is caused due to the light with respect to the A's speed (i.e., the closing speed).

In this period of time 'Because A, B are moved together with the S' lines in the optical signal sent from the M-A is reached, A facing the light some distance away; reaches B of this paragraph is in the optical signal sent from the M time, B was carrying a light walk some distance. Optical signal propagation speed in each direction c, so that the event 1 occurs first, the event 2 occurred after. 'Optical signal arrives first A, optical signal first reaches the A how long? A encounter with the light used for the time t can be obtained. Then A is facing the light walking a distance is Vt, and light walking distance is ct, A, and the light walking distance is S, then S = VT + CT derived T = (S-Vt) / c = S / (V + c). synthesized under A, the closing speed of the light is found Galileo transform classical speed law V + c, the light reaching the time used by the A t1 = S / (V + C). Therefore t = t1. Understanding of the speed of light the same assumptions, the relativity of simultaneity and distance, but also due to the movement of the receiver can change the space between two objects at the same time the relative constancy, resulting in different time used to produce, while the relative sex. (Macro constant speed of light relativity of simultaneity, relativity of simultaneity explain the constancy of the speed of light. Constancy of the speed of light caused by the relativity of simultaneity, relativity of simultaneity explain the constancy of the speed of light.) Why exercise can change the two objects spatial distance between, resulting in a different time with? According to the constancy of the speed of light assumption, the movement of the observer or the light source to the speed of light can not explain. This time is different is how much? We can draw the result of changes in the speed of light variable Galileo,. That is the relativity of simultaneity in the speed of light variable.

Our understanding of the constancy of the speed of light from the new to consider? Whether we reconsider the speed of light? See the vacuum permittivity and the magnetic permeability change.

Understanding of the speed of light variable speed of light in line with the classic law of velocity composition, in line with the Galilean transformation. In the medium, the light source and the observer, the medium three movement, but all three are stationary, then regardless of the speed of light and the light source and the viewer's movement. The movement of this conclusion with the reference system or not has nothing to do, that the principle of relativity. Three movement belonging to the reference system, see the motion converting opinion observer of the reference system (), the speed of light variable plus the speed of light (direction of movement of the speed of light for three speed of movement, the situation in a straight line) . Meet the absolute law of velocity composition.

The light source and the observer mutual stationary but movement therewith, and the light in the same direction in a straight line, the medium and the reference frame phase stationary, then, light propagation in the medium in the light opinion, then the closing speed of the light is found. Galilean transformation, meet the absolute law of velocity composition, but this time the resultant velocity of the speed of the speed of light minus the light source. For the reference system, the constant speed of light.

The case of the light source and the observer does not move, the moving medium (without regard to whether the movement to change the nature of the medium), for the observer, the movement of the medium to change the distance between the medium and the observer, the speed of light changes, the combined speed of the speed of light plus on medium speed.

Observer movement toward the light source, the resultant velocity increase; away from the light source movement, the resultant velocity decreases.

Vacuum. Mainly talk about the movement of the vacuum. The movement of the vacuum tube can be regarded as the movement of the vacuum. If the light source moving together with a vacuum in the vacuum tube, then the reference system in view, an aggregate speed of light is the velocity of light coupled with the speed of the vacuum tube (tube direction of movement of the same with the direction of movement of the light, in a straight line). Light in vacuum movement (on the reference system) constant speed of light for the light source, in the vacuum propagation of light relative to the light source for, or the speed of light becomes small, for the observer, the constant speed of light. However, due to the movement of the light source caused by the smaller the distance between the light source and the observer, the frequency of the light changes. With a similar sound waves. (Light source, the direction of movement is the same as the direction of movement of the light, in a straight line).

Movement can change the reception frequency of the light, the frequency change of the so-called light, refers to a full vibration time becomes shorter or longer. Example, a one hour movie, it should be an hour to watching the movie; movement toward the light, less than an hour to read. Or away from the light caused by more than one hour watching the film who have not. Sound waves.

For the time, see the previous article, such as "Time is an object to see space location", etc., for the understanding of space, see the previous article, such as "spatial awareness".

References: [1] "relativity of simultaneity" http://jpkc.tjpu.edu.cn/2003/wl/daxuewuli/modernphy/ch2/page/ch41.htm [2] "reference system the principle of" Sina pony fish blog

2012-12-25 13:37:47

The inevitably wrong translation, see Chinese original