So far as I understand it, the motion of the Earth doesn't affect the half-lives of terrestrial radionuclides or radiometric dating of terrestrial rocks. If there was an absolute or stationary frame of reference, terrestrial clocks would be slowed down relative to that frame of reference, but radioactive decay and radiometric dating take place in the same frame of reference, therefore there is no change in the rate of the clock.
Said the twin who believed the same thing. Yet a radioactive sample on board the rocket ship would have had its decay rate change, even tho the twin on board would not have been able to detect that change. You are arguing the twins argument when he has already been shown to be wrong.
If i may go back to the twin problem, suppose that both twins start with a sample of chromium-51 (half-life 27.70 days) and cobalt-57 (half-life 271.8 days). Do you accept that the space-faring twin will see half of the chromium-51 decay during each of her menstrual cycles, just like her Earthbound sister, and will also see half of the cobalt-57 decay during her pregnancy, again like her Earthbound sister? If not, what would you expect her to see? Would the radionuclides in space decay faster or slower than the radionuclides on Earth?
The accelerated twin would see them decay as always. He would see earth based samples decay slower. But would find out he was wrong, just as he found out he was wrong in his belief the earth based clocks ran slower.
Instead he found the slower moving earth based clocks to run faster, the direct opposite of what he observed while in motion.
I don't see what this has to do with radiometric dating of terrestrial rocks and meteorites. Again, as I understand it, if we could observe supernovae in such distant galaxies, their light curves and photometric decay times would be changed by time dilation. However, this applies only to very distant galaxies. The light curves and photometric decay times of supernovae in nearby galaxies, such as those in the Virgo cluster (with redshifts of about 0.0039) are the same as those of supernovae in our own Galaxy and other members of the Local Group.
Except that’s not true, those standard candles have been found to be not so standard after all.
Supernova 'standard candles' not so standard after all | Cosmos
http://phenomena.nationalgeographic.com/2014/08/28/type-1a-supernovas-cosmic-candle-mystery/
How do you propose light would change? Light does not accelerate, nor is it affected by an objects acceleration except by the change of wavelength.
That’s why astronomers are mystified, they expect to see it, yet don’t, because they fail to understand why light travels at c regardless of velocity.
https://www.google.com/amp/s/phys.org/news/2010-04-discovery-quasars-dont-dilation-mystifies.amp
So perhaps since the most distant things in the universe, or so it’s claimed don’t show time dilation, perhaps, just perhaps your belief that non-standard standard candles do is flawed, since you can’t get supernova to work anyways and never have been able to.
Why Won't the Supernova Explode? | Science Mission Directorate
Perhaps as the astronomers told you on the previous articles, they just don’t really understand.
I think that you have got this the wrong way round. Hubble obtained his law and determined the Hubble constant by measuring the redshifts of galaxies and their distances; he obtained the distances from the apparent magnitudes of various 'standard candles', such as Cepheid variables. You can find out more about these 'standard candles' from
https://en.wikipedia.org/Cosmic_distance_ladder . Sections 5 and 6, dealing with Galactic distance indicators and the extragalactic distance scale, are particularly important. The essential point is that the distances of galaxies are determined either from the apparent magnitudes of objects in the galaxies and from the general properties of the whole galaxy (e.g. surface brightness fluctuations and the widths of their spectral lines). The distances were not determined from the redshifts; if they had been, Hubble's law would depend on a circular argument.
Except we have already found out your standard candles aren’t so standard, your quasars don’t show time dilation, even if it was expected they would, the simulations for supernova don’t work, the astronomers admit they haven’t a clue, and yet here you are, preaching as fact what the astronomers aren’t even sure if they got correct.
At least for very distant galaxies and quasars, cosmologists now use the redshift itself as the independent parameter for cosmological models. The distance of the galaxy depends on the definition of the word, and it is derived from the redshift and from the cosmological model. It is probably better to use the look-back time, which is again derived from the redshift.
Based upon what confirmed result to confirm redshift equals distance? Hubble’s law which correlates distance to recessional velocity? The only stars we have parallax data for match Hubble’s law just fine, but their redshift is due to recessional velocity.
It’s only those beyond parallax distance where the light becomes magically stretched, and claims of distance are dissacociated from recessional velocity, based upon standard candles that aren’t so standard, and supernova models that have failed to work for over 40 years.....
The age of the universe has been determined from the spectrum density of the angular fluctuations of the cosmic microwave spectrum, using WMAP and Planck measurements and the Lambda-Cold Dark Matter model. This method is independent of measurements of redshifts and the Hubble constant. The fact that the ages determined by the two methods are in good agreement implies that the measurements of galactic distances are accurate and reliable.
That’s what they said when they found quasars at z values of 1.3 and claimed it’s distance proved the age. Yet now we have found them at 11.9 and the age hasn’t changed a bit.
EDIT: and you really don’t want to talk about the CMBR as it shows blueshift as well as redshift, yet no objects beyond the Virgo clusters show blueshift at all. Proving beyond any controversy that it is not extragalactic in origin.
But you might want to consider quantum electrodynamics and the fact charged particles upon deceleration must emit radiation. Of course the solar wind coming to an almost complete stop in a 360 degree sphere at the heliopause is to date the only radiation that has yet to be accounted for. Which would show a blue and redshift over time due to the earths motion. On the other hand as stated, no radiation beyond the Virgo Cluster in distance shows any blueshift whatsoever, so it being from the beginning - the distance of quasars, is already ruled out by default. This only leaves one source who’s radiation has yet to be accounted for.
This brings me back to the first point. For the purpose of measuring the rates of terrestrial processes, the Earth is a stationary frame of reference.
No it’s not. It’s traveling through space at an unknown velocity. The twin traveling at 1/2 of c thinks his rocket ship is a stationary frame too. How many times must we show he can’t get anything right?
Clocks, including those based on radioactive decay, that are confined to the surface of the Earth will agree with one another and with time based on astronomical processes (e.g. the length of the day, the month and the year), even though they will differ from a clock that is in an absolute stationary frame of reference. If you think otherwise you should work the thing out in detail, and show how the rates of decay of carbon-14, potassium-40, rubidium-87, uranium-235, uranium-238, etc. vary with the passage of time measured in years, i.e. by the orbits of the Earth around the Sun. To put it more clearly, can you calculate quantitatively the error in radiometric dating that results from the motion of the Earth? If you can do this, and if you submit this work to one of the journals of physics and they publish it, you will have made your case.
What are you measuring the length of day with? Clocks that change according to energy with rulers that change according to energy, with mass that changes according to energy, with orbits that change based on that changing mass from the changing energy? It’s all changing proportionally, and like the twin in the rocket ship he believed A and B were 10 light years apart just like the twin on earth, even if you claim his rulers got shorter. We have already shown the accelerating object can detect no changes. And unlike the twin, everything sharing the galactic neighborhoods frame is changing proportionally to those clocks and rulers.
What, you think the accelerating frames rulers change, yet everything else sharing that frame remains the same size as before????
I apologise for the length of this post; I have tried to explain a difficult subject to the best of my understanding. If you can find references to show me where I have gone wrong, or can submit a paper to a peer-reviewed journal, I shall try to learn from them.
So you want a peer reviewed paper, from those that admit they are mystified, that don’t understand what’s happening, that can’t get any of their theories to work on a computer?
That couldn’t even get things correct at the heliopause which is right next door cosmological speaking, but you think they can billions of light years away?
So when they add more Fairie Dust and claim ahh hah, it’s strange matter, then you’ll be ok, right? Oh sorry they already used that excuse....
Their entire cosmology is doomed, it’s propped up by so much non-testable and unrealistic ad-hoc theory that every single time they look it falsifies their theory. But they just add more exotic matter or ad-hoc theory to bandaid it, and pretend all is right in wonderland.