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On the Circularity of Some Proofs of the Speed of Light
Simon Proops BSc MBA It is taken as axiomatic that light's speed cannot be exceeded in the Universe. However, how is the speed of light to be measured? One method is to time the interval between sending a laser beam, say, and receiving it on a scale large enough to measure. For this experiment, we will use the distance from the earth to the moon. The speed of light then can be determined as the known distance to the moon, y, divided by the time between transmission and reception of the beam of light, t. Here, the measurement of speed is reduced to a measurement of distance, y, assuming that time remains a constant. But how are we to measure distance on such a scale? Two methods are available to us; parallax and speed based time taken at less than light speed. Both rely on knowledge of a fixed distance or length. In the case of parallax, the distance between measuring points on earth, x, yields the fixed distance, y, via the geometrical formula sin()=0.5x/y or y=0.5x/sin(). In the case of less than light speed measurement by, for example, a spaceship travelling at velocity v, y=vt where time is measured t. Both methods rely on the variable such as the parallax distance x, or velocity v, to be known exactly. This in turn requires a yardstick or standard meter of known length. However, such a standard length as, for example, a meter, must be observed to ensure accuracy. Such accuracy requires that light, and thereby our ability to perceive and measure the standard length, travels at its fixed velocity of c. In order to measure the speed of light we have made the fixed speed of light a precondition or assumption, which renders the logical methodology as flawed since it does not start from first principles. If, for example, light, and by implication, information, travels faster than the constant c, then the yardstick could be longer than we observe in experiment. This could mean the parallax distance x is longer and distance to the moon, y, is longer, which confirms the initial assumption that light travels faster than c. While at first trivial, this quick analysis of the logical flaws in a scientific assessment of the speed, and absoluteness of that speed, of light, lays the groundwork for more serious contemplations. An expanding universe, starting from a big bang, requires a constant light speed c so that the red shift of observed celestial bodies proves universal expansion. If c is not constant, as suggested above, the red shift may be a constant feature of interstellar observations, rather than indicating cosmic expansion. Here, the steady state universe is possible, with neither expansion nor a big bang, but rather which is infinite in size and time, existing and to exist always. According to the breakdown of c as a limitation to the transport of information, this universe also enjoys simultaneity so that the concept of ‘now' can be shared at great distances. Once can only dream about the possibilities of interstellar travel which a permeable value of c could lead to. |
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