Inquisitive, LEARN TO FUCKING READ
Woody, STOP IGNORING EVERY FUCKING RESPONSE I MAKE TO YOUR POSTS
It's just a waste of time trying to engage with you round earthers isn't it?
And for fuck's sake, Turing patterns have been proven for decades. It's a mathematical proof demonstration diffusion doesn't lead to equilibrium, as I said. And look at that, still trying to drag the thread off topic when you should be welcoming the subject as you constantly insist the model's unclear.
I am not ignoring your post. I ask the same questions brecause you do not clarify are address anything in them. You just say learn the model, call me a liar and say I am ignoring you.
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0001053" Nevertheless, the occurrence of Turing patterns has not been unequivocally proven"
https://tbiomed.biomedcentral.com/articles/10.1186/1742-4682-8-24No need to go past the title on this one. Hypothesis is in it.
hy·poth·e·sis
hīˈpäTHəsəs/
noun
a supposition or proposed explanation made on the basis of
limited evidence as a
starting point for further investigation.http://iopscience.iop.org/article/10.1088/0953-8984/19/6/065115/meta"our studies
provide further evidence that Turing linear instability analysis is an excellent predictor of both the onset of and the nature of pattern formation in fractional nonlinear reaction–diffusion equations."
http://www.sciencedirect.com/science/article/pii/0022519374901283"Although this theory has been much discussed, little has been learnt about the range and type of pattern it can generate."
"The results show that stable repeating peaks of chemical concentration of periodicity 2–20 cells can be obtained in embryos in periods of time of less than an hour. We do find however that these patterns are not reliable: small variations in initial conditions give small but significant changes in the number and positions of observed peaks. Similar results are observed in two-dimensional assemblies of cells. On rectangles, random blotches are observed whose position cannot be reliably predicted."
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.011112"Models of diffusion-driven pattern formation that rely on the Turing mechanism are utilized in many areas of science. However,
many such models suffer from the defect of requiring fine tuning of parameters or an unrealistic separation of scales in the diffusivities of the constituents of the system in order to predict the formation of spatial patterns."
http://guava.physics.uiuc.edu/~nigel/courses/569/Essays_Fall2011/Files/tsang.pdf"The validity of the equation itself introduced considerable experimental difficulties,"
"However, to study dynamics away from uniform states, such as pattern dynamics and
pattern selections, tools beyond stability analysis have to be used. They are particularly
crucial to settle disputes in applying RD system to explain pattern formation in nature.
Also, recent theoretical progress allowed more complex patterns by considering additional
terms or interactions between instabilities."
https://phylogenous.wordpress.com/2010/12/01/alan-turings-reaction-diffusion-model-simplification-of-the-complex/"Reaction-diffusion models provide a predictable mechanism for pattern formation. Such models have limited applicability, however, and scientists are still not even completely sure if the proposed models are truly reaction-diffusion systems."
It is unproven it is not proven. It does not mean it is wrong or fails in every situation. It means there is not enough evidence to call it proven. The scientific community in general require stronger evidence then it sometimes making predictions in certain situations. My guess it will be eventually refined and/or its appropriate application will be well defined.