By T Bastin, C W Kilmister
This booklet is a special precis of the result of a protracted learn venture undertaken by way of the authors on discreteness in sleek physics. by contrast with the standard expectation that discreteness is the results of mathematical instruments for insertion right into a non-stop concept, this extra easy remedy builds up the realm from the discrimination of discrete entities. this provides an algebraic constitution within which sure mounted numbers come up. As such, one concurs with the measured price of the fine-structure consistent to at least one half in 10,000,000 (107).
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Extra info for The origin of discrete particles
If there were only one extra generator, 4, take T 4 = 1·4 = 5. It is easy to generalize the proof to any level and any dcss. We have now completed the investigation of the forms of the discrimination operation and we have shown the complete agreement of some of the results with the lowest levels of the Parker-Rhodes hierarchy. The next stage is to see how the process account differs from the original one given by Parker-Rhodes at the higher levels, and to calculate the effects of these differences on the physical constants that come up.
Suppose a · b = c and consider what value the process must give to b · c. Here again the only elements involved are a, b, c and their duals, so it must be the case that b · c = a or b · c = a∗ . But this second possibility is ruled out because if b · c = a∗ follows from a · b = c, then c · a∗ = b∗ will follow from b · c = a, and applying this again yields a∗ · b∗ = c∗ which is in conflict with the result above that a∗ · b∗ = c. Hence from a · b = c it follows that b · c = a and therefore that c · a = b.
That constant does indeed come from a stage in the developing construction of every particle but the existence of each such particle depends on there being more than one of them in combination. We could therefore say that the exchange concept is built in. It marks the point at which the particle idea swings in the direction of the process theory. With exchange, particles cease to be the unanalysable individuals that are reached at the end of a variety of experimental investigations, and take on properties that derive from the mere existence of two at the same time.