I guess people realise that "distance per time" in practice means "distance per reference distance".
Every means for measuring time involves a distance (distance for hand on clockface to travel; or for earth to rotate, or for caesium atom to vibrate, etc.)
"One mile in one hour" can be regarded as "one hour in one mile."
Acceleration can be similarly viewed. "Miles per hour per hour" can be formulated as "hours per mile per mile".
Einstein's space-time thus very obvious.
Am short of computer time, but here's some rough stuff that I haven't tidied up yet:
(See how it works, anyone?)(Alex: eventually I should be able to derive equations: if you see what's going on here you could work it out for other aspects of physics already)(It fits your Fourie images and math objects/ geometries)
Consider: the concept of 'quantum options' or 'jump options' is binary (yes, no) or (option 1, option 2) or (child on a chair, chair unoccupied).
It appears to be possible to reduce/ analyse any physics concept in terms of two 'option pairs' that are compared by a third 'pair'.
Multiple layers and groups of this basic structure allows one to analyse/ map all manner of things in a highly revealing way (just as the quantum was explained by viewing electrons as standing waves.) (Now the next step is to view the standing wave as a complete 'jump' oscillation set. Kind of like reality is made of intersecting fields of digital pixels blinking on and off.)
While I think of it, a quote from Heisenberg:
"It should be emphasized, however, that the probability function does not in itself represent a course of events in the course of time. It represents a tendency for events and our knowledge of events". (Exactly: so it's just a symmetry between our knowledge and a particular event distribution rule)
Here is an early attempt at a "pattern matching" diagram in multiple dimensions using "musical chairs" fields:
Imagine a wide line of many chairs 10 chairs wide, 1000 chairs long.
The children, intermingling positions as they travel in a group, run along the wide line.
The photon is the colection of standing waves that the intermingling children represent. The energy is the frequency- the number of child-chair matches if you "stop the music" and freeze the scenario.
The "music" that I referred to is actually another wide-line of 1000 chairs moving relative to the first one. "stopping the music" really means "freeze the relativity"- so you can suddenly draw lines between all three 'musical chairs games' to get your 3-way jump-match pattern.
If the 'photon' of the intermingling group of children speeds too fast, all the children might get caught without a chair when you "stop the music". Thus a limit on the "speed of light".
The children would be moving too slowly among themselves relative to the speed of their group over the chairs background, for any matches to occur if the group went too fast. Too fast and they're all caught without a chair.
The behaviour of electrons when at high speeds fits this kind of explanation really well.
The above is a very untidy early version of how one can apply this kind of modelling.
In time it should be a simple matter to supply ultra-clear accurate depictions of any physics phenomenon; and make revealing discoveries in the process. You can model all sorts of things via layers of three-way jump fields in multiple dimensions. Apparantly it works every time; there is a logical proof as to why that is so.
Am short of computer time, that was just giving a rough idea.
-dolphin |