In Episode 17, we take a look at Einstein’s derivation of the SRT transformation equations given in Section 3 of his 1905 paper.  In the the past, I have reviewed Einstein’s derivation from an algebraic perspective.  While that perspective remains valid, a precise analysis and re-examination requires that Einstein’s derivation be reviewed from a functions perspective.  This review should be appropriate to all viewers interested in Special Relativity; including proponents, critics, and students.

This video assumes some familiarity with functions, which might be considered an Advanced topic for some viewers/listeners.  If you are not familiar with the behavior of functions, I encourage you to first watch Episode 8.

A PDF file containing the slides used in this video is also available for download.

Corrections:  When making this video, I made a few mistakes in my choice of words.   The corrections are made as callout text boxes in the video.  Also, pages 12 and 19 are intentionally left out of the video and accompanying presentation.

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In this Episode, I present Part 1 of a 2 part series that I delivered at this year’s AAAS/NPA conference held at the University of New Mexico.  This presentation looks at the impact of bi-directional movement in generating the equations associated with moving systems.  It establishes the foundational equations that are used by the leading models (e.g., Einstein, Lorentz, Michelson-Morley) as well as by the model of Complete and Incomplete Coordinate Systems.  This presentation also uses the math associated with an Incomplete Coordinate System to graphically explain key mathematical elements that are found in Einstein’s 1905 paper.

In addition the the video, a PDF copy of the presentation is also available for download.

icon for podpress  Episode 16 (Video) - Part 1 - AAAS/NPA Conference - Moving Systems Equations [26:36m]: Download

 
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In this episode, we look at Special Relativity and how it is related to the model of Complete and Incomplete Coordinate Systems.  After reviewing this video series, I hope that you are left with a better understanding of my model as well as of Einstein’s theory and how the two are related.  In addition, I hope that you have a better understanding of Einstein’s derivation as well as how one can reasonably conclude the effects of Time Dilation and Length Contraction if you only have one type of coordinate system instead of two.  Lastly, I hope that this material helps you to better understand Einstein’s derivations as given in Sections 2 and 3 of his 1905 paper and in his Relativity book.  Part 4 of the series build upon the material presented in the first three parts.

Corrections:  1)  In the video when I perform the first oscillation, I mention 10 seconds (or 10 on the counter).  I should have said 20, which is consistent with the counter and the rest of my discussion.  I correctly say 20 later in the video.  2)  At about 3:30 into the presentation I mentioned that the “person” is stationary.  I intended to say that the “bus” is stationary.

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In this episode, we look at the second of the two types of coordinate systems inherent in the model of Complete and Incomplete Coordinate Systems; a Complete Coordinate System.  Part 2 of the series build upon the material presented in Parts 1 and 2.

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In this episode, we look at one of the two types of coordinate systems inherent in the model of Complete and Incomplete Coordinate Systems; an Incomplete Coordinate System.  Part 2 of the series build upon the material presented in Part 1.

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In this episode, we review the concepts behind moving systems as used by the Model of Complete and Incomplete Coordinate Systems as well as in Special Relativity Theory.  This four part video series is based on material delivered at this years AAAS/NPA conference held in April at the University of New Mexico.  In Part 1 of the series, I introduce the concepts of a reference (or stationary) coordinate system, a second system (either stationary or moving - most of the times it is thought of as moving), and of an oscillating object.

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In this episode, I delivery a presentation entitled Revisiting the Michelson-Morley Experiment to Reveal and Earth Orbital Velocity of 30 km/s. This presentation was originally given at the 15th Annual NPA conference on April 11, 2008 at the University of New Mexico. The conference was held in collaboration with the American Association for the Advancement of Science (AAAS) and the session was attended by both AAAS and NPA participants.

This paper is a revised discussion of a paper, of the same name, that appears in the May 2008 edition of the Galilean Electrodynamics journal. The key finding is that the Michelson-Morley equations were developed in “Absolute” terms, and from that context are accurate. It further finds that the experimental device, called an Interferometer, returns accurate results, but that these actual results are based on relative measurements. This means that the relative-measurement based results when compared with the absolute-measurement based expected results will produce incorrect conclusions when compared to each other. The correction is to create relative-measurement based expected results, which when compared to the relative-measurement based actual results produce correct results. Note that the emphasis on Absolute versus Relative Measurements represents a change in tone over the content given in the original paper. One additional note, in the presentation when the displacement equations are given, they represent changes in length. It is easy to make this a change in time, which is how the equations are written in the paper. A pre-publication version of the paper is available at RelativityChallenge.com. A PDF version of the presentation delivered at the conference is available as a download from this blog entry.

NOTE: I have made two minor corrections to the materials in the 4/14/2008 posting and have reposted the material on 4/15/2008. As a result of technical problems during the process, I have deleted the original 4/14/2008 post and have replaced it with this post on 4/15/2008. I apologize for any inconvenience this may have caused.

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In Episode 10, I answer several questions that have been sent in by listeners over the past several months. In addition, we will recap three of key findings we’ve discussed in the first 9 episodes of the podcast series. These three points are the finding of a math problem in Einstein’s derivation, the implication of bi-directional movement on the theory, and the improved accuracy of the model of Complete and Incomplete Coordinate Systems equations.

 
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In Episode 9, we will explore the importance of distinguishing between lengths and points. The accepted definition of Special Relativity assumes the transformation equations converts a point from one coordinate system into a point in another coordinate system; hence the term “space-time points.” This episode shows that the equations are actually used to transform lengths, not points, primarily due to the bi-directional movement inherent in the derivation. While this finding further challenges the theoretical interpretation of Special Relativity, it is consistent with the model of Complete and Incomplete Coordinate Systems.

 
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In Episode 8, we will explore what it means for Tau to be a function and how Einstein’s mistreatment of Tau as an equation has resulted in the math problems contained in his derivation. This episode will explore four areas. First it will explore functions, clearly identifying the proper way of defining and using functions. Second, it will explain some of the pitfalls of mistreating a function as an equation. Third it will explain how Xi and Tau are correctly derived when Tau is treated as a function. And fourth, it will revisit Einstein’s derivation to illustrate how his mistreatment of Tau as an equation results in the math problems previously discussed in Episode 2 and in the Storrs presentation.

 
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In Episode 7, we explore the equations behind the model of Complete and Incomplete Coordinate Systems. First, we revisit the definitions of Complete and Incomplete Coordinate Systems. Then the equations will be presented and derived graphically. In addition to understanding the equations, it will reveal the meaning of the sub-expression vx’/(c^2-v^2) that is given in Einstein’s time (Tau) equation. Please download the accompanying PDF file associated with this episode.

 
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In Episode 6, I will answer questions that I received after Episode 5 was aired. We’ll also take a look at the Michelson-Morley experiment. This landmark experiment has been interpreted as returning 0 km/s as the answer, supporting Einstein’s SR theory. In this episode, I’ll explain, on a conceptual level, how to evaluate the Michelson-Morley data to reveal an Earth Orbital Velocity of 30 km/s, removing support for SR and building support for an ether-based model.

 
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In Episode 5, we look at Einstein’s Special Relativity Theory in the context of the model of Complete and Incomplete Coordinate Systems. The goal is to help the listener understand the origin of Einstein’s speed of light “speed limit” and understand why Einstein felt that a twin moving in a rocket would age more slowly than her twin who remained on earth.

 
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In Episode 4, I introduce the concept of a Coordinate System along with two specific variants; a Complete Coordinate System and an Incomplete Coordinate System. I explain what these systems are and how they are different from what Einstein proposed in his theory.

 
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In Episode 3 we will discuss some of the implications of a mathematical problem in Einstein’s work. I am also going to update you on my experience as a presenter and as a participant at the NPA2007 conference held in Storrs, Connecticut (at the University of Connecticut).

Logistics: If you are playing or downloading this file from podshow.com, please begin using blog.relativitychallenge.com. You can subscribe to the RSS feed directly from the new site or from iTunes.

 
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I delivered a presentation at a conference held at the University of Connecticut in May 2007. This presentation is a more polished version of the material covered in Episode #2 of the podcast. It presents, in mathematical terms, the problem in Einstein’s 1905 derivation, points out the root cause, and briefly introduces the Model of Complete and Incomplete Coordinate Systems. Two versions are available for download; one as the stand-alone version and a second with audio annotation.

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In episode 2, I take a look at the steps Einstein used to create his equations. Specifically, we look at the rules of math (e.g., algebra) to help identify a problem in Einstein’s derivation. This podcast was originally aired in April 2007.

 
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An introduction to the RelativityChallenge.Com podcast with Steven Bryant. Listen to this podcast to get a feel for what the podcast is about and what we will cover. This episode was originally released in March 2007.

 
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