Episode 21 – The Failure of Einstein’s Spherical Wave Proof

Posted by Steven Bryant On March - 21 - 2010

We have offered many mathematical and conceptual challenges to Einstein’s Theory of Relativity. In Episode 21, we offer compelling evidence that Einstein’s Spherical Wave Proof fails. Without this proof, Einstein cannot establish a relationship between Relativity and the constancy of the speed of light; a cornerstone characteristic of the theory.

This Episode reexamines the key characteristics of a Sphere, and uses those characteristics to show why Einstein’s proof actually fails. The following specific points are covered in this video:

  • A look at Einstein’s Spherical Wave Proof
  • A look at the textual and mathematical requirements of a Sphere
  • Review of Einstein’s work to show that his equations do not satisfy the requirements

In addition to the video, a PDF version of the presentation is available for download.
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Mistake Identification – Introduction

Posted by Steven Bryant On February - 8 - 2009

Revised: Sept. 24, 2011

A case against Relativity theory requires several elements.  First, there has to be an alternative model – such as Modern Classical Mechanics – that explains things with better accuracy than Relativity theory.  Second, the alternative model should support physical behaviors (that are prohibited by Relativity theory); which are then experimentally confirmed.  An example of this could be found in the recently announced CERN experiment where they have found sub-atomic particles traveling faster than the speed of light.  Such a prediction is supported by Modern Classical Mechanics, but prohibited by Relativity theory.

The CERN experimental findings go hand-in-hand with the findings of mathematical and conceptual mistakes in Einstein’s work.  Now, these mistakes are very difficult to find, especially when you consider that Relativity makes some very good predictions.  But, we now have cases where Modern Classical Mechanics makes better predictions and, in the case of the CERN experiment, supports an experimental finding that Relativity theory says is not possible.

Episode 23 introduces Modern Classical Mechanics.  We also discussed the nuances between it and Relativity theory that result in the latter needing concepts like Time Dilation, Length Contraction, and the Twin Paradox.  We also review a conceptual mistake where Einstein talks about about time, without realizing that he is really talking about length.  Imaging the mistakes you might make if you look at your ruler, but think you’re looking at your watch!

As indicated in Episode 20wavelength is commonly misstated as a measure (e.g., meters) when, in fact, it should be correctly stated as a rate (e.g., meters per cycle).  This is a significant conceptual and mathematical problem in Einstein’s work.

Most people would know a circle when you see one, and you’d be able to tell it apart from an oval.  But if you don’t treat the math equation in just the right way, you might think that you have a circle when you really have an oval.  This is essentially the mistake Einstein makes in his proof that establishes Relativity.  You’ll see this covered in Episode 22.

Readers familiar with namespaces and overloaded variables, and their relationship with functions, will find the mistake that happen when mistreating a function as an equation.  This is addressed in Episode 17 of the Podcast Series – A Look at Einstein’s 1905 Derivation (Video).  Simply stated, Einstein mistreats the Tau function as if it were an equation. Readers without this background will find the algebra-based approach given in the Storrs Conference Presentation (Video), easier to follow. Interestingly, Einstein and Lorentz drop a Beta term in each of their respective derivations.  This point is also discussed briefly in Episode 17 of the Podcast series.

I hope you enjoy the material at RelativityChallenge.com.

Mistake Identification – Function Method (Advanced Method)

Posted by Steven Bryant On February - 7 - 2009

Identification of the problem in Einstein’s 1905 derivation is best performed using the formal tools and techniques of Computer Science. I have found that this discipline offers a superior method of explaining how functions work and provides a specific notation that makes it easy to view the problem.

Begin by considering the following pseudo-code:
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Mistake Identification – Algebraic Method (Easier Method)

Posted by Steven Bryant On February - 6 - 2009

Here we summarize Einstein’s Xi derivation as given in his 1905 paper. As illustrated in the following figure, Einstein begins with one math statement and then performs three algebraic substitutions.
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Episode 17 (Video) – A Look at Einstein’s 1905 Derivation

Posted by Steven Bryant On August - 11 - 2008

In Episode 17, we take an advanced look at Einstein’s derivation of the SRT transformation equations given in Section 3 of his 1905 paper to generate the equations and analyze the problem in creating his Tau equation. 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. While the material in this Episode will be most comfortable to those with an understanding of namespaces, overloaded variables, and functions, it should be appropriate to all viewers interested in increasing their understanding of Special Relativity.

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.

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Storrs Conference Presentation

Posted by Steven Bryant On June - 4 - 2007

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.

Presentation in PowerPoint Format
Storrs Conference Presentation (video – wmv format)

Episode 2 – Identifying the Problem with SRT

Posted by Steven Bryant On June - 4 - 2007

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.

Presentation in PDF Format