Although seemingly different, these topics are all related to timing events. Einstein gave examples of simultaneous events as witnessed by one inertial observer may not be simultaneous for other inertial observers. This paper eliminates a common misconception. Simultaneous events are confused with separated events occurring at the same coordinate time. Simultaneous events are witnessed by all observers, whether inertial or accelerated, because simultaneous events occur when phenomena collide, merge, overlap, or superimpose into one point at the same instant of time. Chronometric events occur at the same coordinate time of a reference frame, but at separate locations. Simultaneous events are perceived as simultaneous by all observers, because a point defines an observer’s location at some instantaneous time. Chronometric events occur at identical coordinate times, but are usually not simultaneous, because the distances to convey the information to an observer are usually unequal arrival times. Einstein’s train scenario involving dual lightning strikes is explained by Newtonian physics without relativity. The mathematics concerning an embellished version of Einstein’s train scenario is derived in this paper. Synchronizing coordinate clocks to less than 1 ns is difficult. Unless the observer precisely compensates for the whole velocity between the transmitted time from some point and the observer’s local frame, synchronizing coordinate clocks far apart is surprisingly impossible by electronic transmission through free space. An experiment is suggested to obtain the effective velocity using one-way measurements for the speed of light to improve clock synchronization by several orders.
Published in | International Journal of Applied Mathematics and Theoretical Physics (Volume 2, Issue 4) |
DOI | 10.11648/j.ijamtp.20160204.12 |
Page(s) | 31-40 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Simultaneity, Synchronization, Timing, Speed of Light
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APA Style
Steven D. Deines. (2016). Timing in Simultaneity, Einstein’s Test Scenario, and Precise Clock Synchronization. International Journal of Applied Mathematics and Theoretical Physics, 2(4), 31-40. https://doi.org/10.11648/j.ijamtp.20160204.12
ACS Style
Steven D. Deines. Timing in Simultaneity, Einstein’s Test Scenario, and Precise Clock Synchronization. Int. J. Appl. Math. Theor. Phys. 2016, 2(4), 31-40. doi: 10.11648/j.ijamtp.20160204.12
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TY - JOUR T1 - Timing in Simultaneity, Einstein’s Test Scenario, and Precise Clock Synchronization AU - Steven D. Deines Y1 - 2016/09/26 PY - 2016 N1 - https://doi.org/10.11648/j.ijamtp.20160204.12 DO - 10.11648/j.ijamtp.20160204.12 T2 - International Journal of Applied Mathematics and Theoretical Physics JF - International Journal of Applied Mathematics and Theoretical Physics JO - International Journal of Applied Mathematics and Theoretical Physics SP - 31 EP - 40 PB - Science Publishing Group SN - 2575-5927 UR - https://doi.org/10.11648/j.ijamtp.20160204.12 AB - Although seemingly different, these topics are all related to timing events. Einstein gave examples of simultaneous events as witnessed by one inertial observer may not be simultaneous for other inertial observers. This paper eliminates a common misconception. Simultaneous events are confused with separated events occurring at the same coordinate time. Simultaneous events are witnessed by all observers, whether inertial or accelerated, because simultaneous events occur when phenomena collide, merge, overlap, or superimpose into one point at the same instant of time. Chronometric events occur at the same coordinate time of a reference frame, but at separate locations. Simultaneous events are perceived as simultaneous by all observers, because a point defines an observer’s location at some instantaneous time. Chronometric events occur at identical coordinate times, but are usually not simultaneous, because the distances to convey the information to an observer are usually unequal arrival times. Einstein’s train scenario involving dual lightning strikes is explained by Newtonian physics without relativity. The mathematics concerning an embellished version of Einstein’s train scenario is derived in this paper. Synchronizing coordinate clocks to less than 1 ns is difficult. Unless the observer precisely compensates for the whole velocity between the transmitted time from some point and the observer’s local frame, synchronizing coordinate clocks far apart is surprisingly impossible by electronic transmission through free space. An experiment is suggested to obtain the effective velocity using one-way measurements for the speed of light to improve clock synchronization by several orders. VL - 2 IS - 4 ER -