- #1
Thomas2
- 118
- 0
I came across Ned Wright's webpage
http://www.astro.ucla.edu/~wright/tiredlit.htm which states that
alternative explanations for the redshift of galaxies would not be
consistent with the z-dependence of supernova lightcurves. However,
this assertion is not further substantiated and as far as I can see
any wavelength independent redshift mechanism should indeed result in
the change of the supernova lightcurves:
Consider a sinusoidal lightwave modulated by a lightcurve L(t), i.e.
E(f,t)=E0*sin(f*t)*L(t) .
By expanding L(t) into a Fourier Integral i.e.
L(t)= Int[dF*cos(F*t)*a(F)]
and drawing the sine function under the integral one gets
E(f,t)=E0* Int[dF*sin(f*t)*cos(F*t)*a(F)].
Using the addition theorems for trigonometric functions, this is
equivalent to (apart from a constant factor)
E(f,t)=E0* Int[dF*(sin((f+F)*t) + sin((f-F)*t)*a(F)].
Applying now a redshift factor (1+z) changes the frequencies to
(f+F)/(1+z) and (f-F)/(1+z), i.e. the signal becomes
E(f,t,z)=E0* Int[dF*(sin((f+F)/(1+z)*t) + sin((f-F)/(1+z)*t) *a(F)],
and by reversing the addition theorem and taking the sine- function
out of the integral again
E(f,t,z)=E0* Int[dF*sin(f/(1+z)*t)*cos(F/(1+z)*t)*a(F)] =
= E0*sin(f/(1+z)*t)* Int[dF*cos(F/(1+z)*t)*a(F)] =
= E0*sin(f/(1+z)*t)*L(t/(1+z)).
This means that not only is the wave frequency redshifted but also the
light curve broadened.
For anyone intererested, I have myself suggested that the redshift of
galaxies is in fact caused by the small scale electric field due to
the intergalactic plasma (a kind of counter-part to the Faraday
-rotation in a magnetic field) (for more details see
http://www.plasmaphysics.org.uk/research/#A11).
http://www.astro.ucla.edu/~wright/tiredlit.htm which states that
alternative explanations for the redshift of galaxies would not be
consistent with the z-dependence of supernova lightcurves. However,
this assertion is not further substantiated and as far as I can see
any wavelength independent redshift mechanism should indeed result in
the change of the supernova lightcurves:
Consider a sinusoidal lightwave modulated by a lightcurve L(t), i.e.
E(f,t)=E0*sin(f*t)*L(t) .
By expanding L(t) into a Fourier Integral i.e.
L(t)= Int[dF*cos(F*t)*a(F)]
and drawing the sine function under the integral one gets
E(f,t)=E0* Int[dF*sin(f*t)*cos(F*t)*a(F)].
Using the addition theorems for trigonometric functions, this is
equivalent to (apart from a constant factor)
E(f,t)=E0* Int[dF*(sin((f+F)*t) + sin((f-F)*t)*a(F)].
Applying now a redshift factor (1+z) changes the frequencies to
(f+F)/(1+z) and (f-F)/(1+z), i.e. the signal becomes
E(f,t,z)=E0* Int[dF*(sin((f+F)/(1+z)*t) + sin((f-F)/(1+z)*t) *a(F)],
and by reversing the addition theorem and taking the sine- function
out of the integral again
E(f,t,z)=E0* Int[dF*sin(f/(1+z)*t)*cos(F/(1+z)*t)*a(F)] =
= E0*sin(f/(1+z)*t)* Int[dF*cos(F/(1+z)*t)*a(F)] =
= E0*sin(f/(1+z)*t)*L(t/(1+z)).
This means that not only is the wave frequency redshifted but also the
light curve broadened.
For anyone intererested, I have myself suggested that the redshift of
galaxies is in fact caused by the small scale electric field due to
the intergalactic plasma (a kind of counter-part to the Faraday
-rotation in a magnetic field) (for more details see
http://www.plasmaphysics.org.uk/research/#A11).