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Galilean-Newtonian Relativity NPA 19. Curt Renshaw . Sustainable solutions for a global community. Albert Einstein. Light Speed. All observers measure the same values for e o and m o regardless of their relative motion
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Galilean-NewtonianRelativityNPA 19 Curt Renshaw Sustainable solutions for a global community
Light Speed • All observers measure the same values for eo and mo 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 eo and mo regardless of their relative motion • All observers measure the same value for the speed of light, c, regardless of their relative motion
Alice and Bob see an Event d’ t’ = d’/c t = d/c d t’ > t Alice Bob
Alice and Bob in Relative Motion t’ = d’/c v t = d/c t’ > t Alice Bob
Alice and Bob in Relative Motion v t’ = d’/c t = d/c t’ > t Alice Bob
Alice and Bob in Relative Motion t’ = d’/c v v t = d/c t’ = d’/c t = d/c t’ > t Alice Bob
Alice and Bob in Relative Motion t’ = d’/c v/2 v v v/2 t = d/c t’ = d’/c t = d/c t’ = d’/c t = d/c t’ > t Alice Bob
A Special Relativistic View d’/t’ = c d/t = c Galilean Relativity d/t = c Special Relativity Alice Bob
A Special Relativistic View d’/t’ = c d/t = c Galilean Relativity d’/t = c t’ = t d/t = c Special Relativity Alice Bob
A Special Relativistic Correction d’/t’ = c d’ d/t = c Galilean Relativity d’/ t’ = c d/t = c d’ Special Relativity d’ = d’/g t’ = t’/g d’ = d’/g t’ = t’/g d’/ t’ = d/t = c Alice Bob
A Special Relativistic Correction d’/t’ = c d’ d/t = c Galilean Relativity d’/ t’ = c d/t = c d’ Special Relativity d’ = d’/g t’ = t’/g d’/ t’ = d/t = c Alice Bob
A Special Relativistic Derivation t’ = x’/c v v x’ x’ Galilean Transform x vt’ x t = x/c Special Relativistic Transform d’/ t’ = c • Algebraic manipulation of the Galilean Transform. • There is no physics here! • Einstein’s assumption has never been tested. d’ d/t = c
A Special Relativistic Derivation • 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.
EM Propagation Galilean Transform c’ is the velocity observed in K’ as measured in K. In K’ the velocity is c.
Doppler Shift K’ wave in Kframe K’ wave in K’ frame
Aberration Frequency in K Frequency in K’
Apparent Mass Increase v v B Bcosq c q q
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