Yeah, I get what you are saying Tim, as I awoke this morning with the very similar idea. I named it; "The Non-Einsteinean Time and Motion Logic"__or; "A Proper Modal Time Logic..." You've explained it from the micro perspective, and I'll explain it from the macro perspective. We've all known much of Einstein's work is correct, as much is proven, but many of us have surmised there's been mistakes ingrained in the total package, especially since QM and RM have been un-unitable for over a century, now. I discovered one of the problems in the Lorentz transformations years ago, but never was able to put the math, laws and models into clear focus, until last night and this morning... Let's take my titanium baseball model I've mentioned often, before__Iff we use a rocket virtually capable of light speed__yet just view what physically happens to our titanium baseball as it's accelerated to c, aboard this rocket. The ball is accelerating in an em-field of certain frequencies, amplitudes and wavelengths. This means, as the ball increases velocity through the field__all these em-field waves' frequencies, amplitudes and wavelengths must increase as to frequencies and amplitudes and decrease as to wavelengths(and vice-versa within the ball, as they inverse to rads)__hydrodynamically hitting the titanium ball. This is the identical process as the photo-electric effect__where light waves above the visible light spectrum knock electrons out of orbits, within our ball(thus reducing its structured state mechanics)__and more, the more it accelerates toward c. This means, the Lorentz-Einstein transformation is actually required to shed mass, volume and ordered structure by way of hydrodynamic heat and radiation losses__Which fully accounts for our nearest zero mass values of photons at c, of all fully radiated structures...
This new view of the Lorentz-Einstein radiation mechanics, fully visible to common sense(no axioms required), means that Einstein's time, motion and space models are not as he stated them__but quite opposite, as to time and motion, thus as to space-time. If we replace the titanium ball on our virtual rocket, with a standard man-made clock__the clock does not slow down, thus slowing real time__it dis-integrates, by hydrodynamic radiation of structured matter being sped into the unstructured em-matter's real infinitesimal mass effects(also applies to any structured system approaching c)__the more it approaches 'the c limit' of Universal velocity. Just think about it__As the ball accelerates, the incoming frequencies and amplitudes are massively increasing in rad-pulse__thus bumping up the em-spectrum from least non-destructive visible light waves, etc., to very destructive higher frequency and amplitude waves of shorter and shorter wavelengths, until ultra-violet, x-ray and finally gamma rays__that can be nothing but de-constructing to the ball, etc., the more it approaches the c Universal limit. So, the fact is that the Einstein-Lorentz math does not blow up to the infinities 'they thought', as they were using Minkowski-Einstein's wrong modal model__it is actually fully figurable by true mass and radiation mechanics maths__just by using this new modal model of proper methodology and fully scientific logic__a proper goal oriented model, of the real ideas involved... This is why I've written so much about; "The Scientific Method Is Modality Decided By The Proper Goal Logics..."
These problems of not recognizing the proper logical modal goals, to start with, goes back over 130 years to Frege, then Russell, Einstein and Quine's eliminations of the 'proper modal logics' from their fundamental thinkings(and much of the modern world, followed this false path of ill-logics). Modal logics are the fundamentals of the fundamentals, or 'fundamentals qua fundamentals' and can not be ignored, as these are our "first decision actions of pure thought"__within any thought system, modality or sceintific methology's choice of goal's logics__to be used... This has further led to all the false and ill-mathematical and theoretical models being falsely touted__No wonder there's so much confusion and conflation between CM, QM and RM... Let's fix it...
Now, if we put these two methods together__your micro model__my macro model__we should be able to work out the entire picture__internally and externally__thus, uniting CM, QM and RM, as a straight classical mechanics_with 'relational' extensions__not relative...
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