Dear Peter
The points you cover in your essay are fundamental. I totally agree with you that, as you said in my entry, ''motion seems at the heart of misunderstanding in physics''. Physics actually is the science of motion, and any new thoughts or conceptions of motion can lead to major breakthroughs. And I think your essay could provide a new such conception. Besides that, I feel your writing style mixing poetry and science makes your essay very beautiful. I will now adress a few of your points:
''As seeing is believing we set our stage for those who have not yet
seen the content of 'space' (Fig. 1) It's now well evidenced that only
~ 4% of the total mass-energy of the universe is 'matter'. The intergalactic 'medium' (IGM) quantum vacuum is real.''
This is a significant topic. What would happen if Einstein had access to the quantum vacuum by the time he proposed SR? What would happen to the ether hypothesis? I´ve discussed this with Israel Omar Perez in his entry. Actually the quantum vacuum is explained (and predicted) by QFT which in turn relies on both special relativity and quantum mechanics. And special relativity does not support an ether. So we can choose to leave things as they are, but also propose a new conception of motion based on the ''quantum vacuum frame''; that would certainly happen if people back in 1905 had access to the quantum vacuum. If this conception of motion is fruitful or not would require more thought.
''Accepting the IGM as a real diffuse particle 'medium' has implications fundamentally different to empty space wherever the particles 'came from'. The Relativity of Simultaneity within the Special Theory of Relativity (SR) allows no absolute 'preferred background frame' in space. Speed can only be relative
between bodies. This seemed to limit SR's domain to true vacua with no propagating 'ether' medium. Assumption 1, that 'Space is nothing' was implicit, but this has now been disproved, both by exploration and at CERN. So confusion and dissent remain.''
Indeed, confusion remains. My view on that is the following. I don´t believe the presence of a quantum vacuum entails the existence of a prefered background frame upon which we could define preferred positions. That is because of the snapshot argument: Suppose you have a snapshot showing physical objects in euclidean space. Now suppose after some time has elapsed, you take another snapshot. How can we know if any change has happened? It is necessary to have an equilocality relation: a relation that tell which point in one snapshot is the same in the other snapshot. The equilocality relation is necessary to make motion of objects in time a meaningful concept, and Newton´s absolute space does exactly that, and that was the reason why it was introduced (see Barbour´s book The discovery of dynamics). The presence of a quantum vacuum field does not entail that there is a preferred system of reference. The reason follows from the same argument above: suppose you have two snapshots of field configurations defined on a 3D euclidean space taken at different times. How can we tell what´s the difference between them without a way of identifying a point in one snapshot with a point in another? The quantum vacuum would have to somehow provide preferred positions, that could be used as equilocality relations.
But saying the quantum vacuum does not entail the existence of a prefered background frame does not mean that there can´t be a preferred frame. This is a conception of motion which, in my opinion, should be evaluated only by how fruitful it is. I must admit that I have to think more about this. Some relevant essay on this matters are Israel´s and ''Hawking versus Unruh temperature as a measure of the health of the equivalence principle''. I see you also thought a lot about light speed. Special relativity can be summarized in one postulate: the interval is invariant. This is something empirically verified, and the constancy of the speed of light is a consequence of it. SR does not have so much to do with light speed per se, but the covariance of Maxwell´s equation assure that electromagnetic waves travel on null paths. However, the idea of searching for new conceptions of motion based on thinking about light is interesting in view of its possible results.
I was very pleased to read you questioning your assumption 4:
''Assumption 4. Cartesian co-ordinate systems adequately model motion.''
This is very deep. Coordinates are the basic conceptual and mathematical basis of our understanding of the universe. It is very difficult to replace them however, since so much was produced and predicted upon the notion of (x,y,z,t). In my opinion, this is where conceptual modifications to our understanding of motion could arise: by thinking about ''coordinates''. I agree ''points and lines are not 'real'. All particles and systems have non-zero dimensions and can move, so may be assigned a state of motion''. I´m also intrigued by your mentioning of dynamic logic. I don´t what it is, but it seems very interesting, specially if it can be used to think about motion.
''Relativity Safe and Well. We violate no key assumptions of SR by invoking preferred background frames because our frames are not the absolute frame which SR falsifies. Matter, and dielectric media, can and do all move, so ours is an option not originally considered.''
Indeed, a original and consistent conception of motion. Very good point. Personally, I feel relational conceptions (and maybe extensions of it) are more adequate but the only way to find a conclusion is by exploring all the consequences of any new proposal.
Best regards and good luck.
Daniel