Hi Smears,
Source, Transmission, and Receiver Comments
I, too, initially, thought that the Ball, Radiation, and Optical Nerve served the purpose of the Source, Transmission, and Receiver respectively.
However, if we were to interpret this broadly, we could consider any three contiguous transition places as the Source, Transmission, and Receiver. And, more broadly yet, we could include any four or more contiguous transition places where the transition places between the source and the receiver were considered as a composite transition. (This would be analogous to composite functions.)
Finally, I am curious about the roll of the receiver. For example, if the receiver simply transmits data, and no one sees this data, is it not analogous to a tree falling in the forest and no one hearing it? Even if it preserves the data, without some sort of pattern recognition would not the data simply be the equivalent to statistical noise – basically meaningless? I think that the only receiver of consequence is the observer/brain.
From this perspective the lens plays no particularly meaningful role; it is simply part of the transmission.
Tweaking the Scientific Observation Model
In the diagram, I show an individual observing a ball. Science, and perhaps common sense, tells us that cultural and personal bias will affect what we see.
The inversion of the old expression “I’ll believe it when I see it” to “I’ll see it when I believe it” is actually true in some cases. Alan Chalmers book “What Is This Thing Called Science” gives some good examples.
This means that better science avoids anecdotal evidence, and requires public viewing.
In the case of Astronomy photographic plates are probably thought of as the receiver and this captures the data. Groups of people can then view the data at a later time and a collective understanding emerges. I would note that the plates themselves do not convey meaning. It is only after they are viewed that meaning is actually conveyed.
Finally science does appreciate an enhancement of our senses. Bigger and better lens appear to give us better detail.
With regard to the inverse Fourier transform
The Newtonian world is effectively based on the equation F = ma. Since a is a vector acceleration, we are dealing with differential equations. In order to model certain types of behaviour, particularly strings and heat transfer, these equations become very complex, and require the use of partial differential equations. (Many of the component forces are actually determined by trail and error).
Probably the most useful tool in dealing with these equations is the Fourier transform. (Though there are other transforms e.g. the Laplace transform.) What happens, in some circumstances, is that the Fourier transform changes complex partial differential equations, in the standard domain, into simpler equations in this new “Fourier Domain”. These simpler equations can, in these special circumstances, be solved in this “Fourier Domain”.
However, for us to make use the solution in the “Fourier Domain”, we need to change the solution back to its standard domain. This transform to go back is called the inverse Fourier transform. (The solution to this transform does not always exist and people have tweaked the integral used in the definition of the inverse Fourier transform to change the class of functions, in the “Fourier Domain” which can have inverse Fourier transforms. The best known of these people is Henri Lebesgue, but even I have played with this integral definition).
How might this apply?
I am not sure. It is possible that any lens can interact with the radiation, both through heat distortion and possibly, though minimally under ordinary circumstances, exchange of energy with the radiation which, in theory, could cause a vibration.
However, the solutions to the Fourier Transform problem are going to be heavily dependent on the modelling in the first place and the math is basically just an after thought. If you think of this in terms of Chaos Theory, the solutions are generally no where close to linear and the initial conditions are highly dependent on the modelling.
Additionally the same problems would occur with an optic nerve as would occur with a lens, yet no discussion of this matter has taken place.
Do your authors give you any more information about the specifics of the circumstances and their analysis of the variations caused by lens?
Anyway such are the thoughts of a senile old man, who has not even read or listened to the body of work you are presenting.