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Sustainable solutions for a global community. Light Speed All observers measure the same values for  o and  o regardless of their relative motion.

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Presentation on theme: "Sustainable solutions for a global community. Light Speed All observers measure the same values for  o and  o regardless of their relative motion."— Presentation transcript:

1 Sustainable solutions for a global community

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3 Light Speed All observers measure the same values for  o and  o regardless of their relative motion All observers measure the same value for the speed of light, c, regardless of their relative motion All observers measure the same values for  o and  o regardless of their relative motion All observers measure the same value for the speed of light, c, regardless of their relative motion

4 Alice Bob Alice and Bob see an Event t = d/c t’ = d’/c t’ > t d’ d

5 Alice Bob t’ = d’/c t = d/c Alice and Bob in Relative Motion t’ > t v

6 Alice Bob t’ = d’/c t = d/c Alice and Bob in Relative Motion t’ > t v

7 Alice Bob t’ = d’/c t = d/c Alice and Bob in Relative Motion t’ > t v v

8 Alice Bob t’ = d’/c t = d/c Alice and Bob in Relative Motion t’ > t v v t’ = d’/c t = d/c v/2 v/2v/2

9 Alice Bob d’/t’ = c d/t = c A Special Relativistic View d/t = c Galilean Relativity Special Relativity

10 Alice Bob d’/t’ = c d/t = c A Special Relativistic View d/t = c d’/t = ct’ = t Galilean Relativity Special Relativity

11 Alice Bob d’/t’ = c d/t = c A Special Relativistic Correction d/t = c d’/ t’ = c Galilean Relativity Special Relativity d’ d’ = d’/  t’ = t’/   d’ = d’/  t’ = t’/  d’/ t’ = d/t = c

12 d’ = d’/  t’ = t’/  d’/ t’ = d/t = c Alice Bob d’/t’ = c d/t = c A Special Relativistic Correction d/t = c d’/ t’ = c Galilean Relativity Special Relativity d’

13 d/t = c d’/ t’ = c d’ A Special Relativistic Derivation v x x’x’ vt ’ Algebraic manipulation of the Galilean Transform. There is no physics here! Einstein’s assumption has never been tested. t’ = x’/c t = x/c v x’x’ x Galilean Transform Special Relativistic Transform

14 The Galilean transform can be arranged in such a way as to produce the special relativistic transforms. All measurements are transformed to the reference frame of the observer, so the conceptual error in special relativity is not readily detected All results are by default consistent with observation. Consequently, every derivation of special relativity can also be derived in a purely Galilean framework. A Special Relativistic Derivation

15 EM Propagation Galilean Transform c’ is the velocity observed in K’ as measured in K. In K’ the velocity is c.

16 Maxwell’s Equations

17 Doppler Shift K’ wave in K frame K’ wave in K’ frame

18 Aberration Frequency in K Frequency in K’

19 Arbitrary Incidence

20 B Bcos  v v c   Apparent Mass Increase

21 Conclusion Special Relativity is shown to be a manipulation of Galilean-Newtonian space with no real physical significance A form-invariant derivation of Maxwell’s equations in Galilean-Newtonian space was derived Doppler shift from a variety of perspectives was derived Apparent mass increase in particle accelerators was shown to be an interpretation of results, not an actual phenomenon


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