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<blockquote data-quote="spiney" data-source="post: 279862" data-attributes="member: 192438">Yes, indeed so JTA., lightspeed is not an &quot;arbitary&quot; limit.Special relativity arises from the requirement for the laws of physics to be the same for all observers. Ignoring that leads to&nbsp; logical contradictions and gibberish, so it's a requirement &quot;built into&quot; the universe (as JTA so nicely put it!). Once accepted, then the rest follows, you can pretty much derive the Lorenz transform equations from their &quot;necessary form&quot;.The most elegant - using simple maths - way of deriving the Lorenz equations is via Bondi's k calculus:<a href="http://www.geocities.com/ResearchTriangle/System/8956/Bondi/intro.htm" target="_blank">http://www.geocities.com/ResearchTriangle/System/8956/Bondi/intro.htm</a> .Unfortunately, Saturlight, there's not just one infinity, because there's the transfinite numbers:<a href="http://www.buzzle.com/showImage.asp?image=272" target="_blank">http://www.buzzle.com/showImage.asp?image=272</a> .<a href="http://www.c3.lanl.gov/mega-math/workbk/infinity/inhotel.html" target="_blank">http://www.c3.lanl.gov/mega-math/workbk/infinity/inhotel.html</a> .<a href="http://dbanach.com/infin.htm" target="_blank">http://dbanach.com/infin.htm</a> .</blockquote>

[QUOTE="spiney, post: 279862, member: 192438"] Yes, indeed so JTA., lightspeed is not an "arbitary" limit. Special relativity arises from the requirement for the laws of physics to be the same for all observers. Ignoring that leads to logical contradictions and gibberish, so it's a requirement "built into" the universe (as JTA so nicely put it!). Once accepted, then the rest follows, you can pretty much derive the Lorenz transform equations from their "necessary form". The most elegant - using simple maths - way of deriving the Lorenz equations is via Bondi's k calculus: [url]http://www.geocities.com/ResearchTriangle/System/8956/Bondi/intro.htm[/url] . Unfortunately, Saturlight, there's not just one infinity, because there's the transfinite numbers: [url]http://www.buzzle.com/showImage.asp?image=272[/url] . [url]http://www.c3.lanl.gov/mega-math/workbk/infinity/inhotel.html[/url] . [url]http://dbanach.com/infin.htm[/url] . [/QUOTE]

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