|wavemodel quantize quantization|
|Welcome to the Wave Model Pages|
|The Emergence of Quanta in a Causal Continuum|
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How waves form themselves into matter
We can write down models of variables in continuous space and time so that, defining neither boundaries nor any solid or particulate entities, the waves will gather into persisting forms ... we call them solitons. On this web site a model is presented that displays this property of entities emerging from a continuous field whilst at the same time producing behaviour which corresponds well with the phenomena of physics (currently at least usefully), both macroscopic and microscopic.
Existing models have to impose their quantal forms
The conventional particle physics is not so complete as this in that it anyway starts with notions of particles and then goes on to rely upon the use of "Planck's Ansatz" as a forced assumption of quantisation. Nor do the "hybrid" developed theories of joint waves and particles achieve operation without imposing an equivalent assumption (Cramer, Bohm, Little etc.). As for the pure wave models (i.e. having no original particles), there are two groups. First there are those that are just descriptions of linear wave structures with presumed arbitrary mechanisms to delimit their entities (Wolff, Hawkings etc.). Of the others which do contain the necessary nonlinearities to produce emergent solitons none displays behaviour which is sufficiently consistent with observed physics to be useful in any significant breadth of application.
A compact model consistent with nature is possible
Here the pure wave picture is more complete, starts from sparse precepts, and its behaviour corresponds valuably to natural phenomena. Unlike any other existing model it allows the fine structure constant (and therefore the electron charge) to be deduced from its precepts alone without injecting any corresponding constant anywhere. It is purely a consequence of wave field geometry, which in turn is determined by the precepts of the model expressed in its definitive wave equations through their possible wave function solutions. As currently developed in approximate solution it produces a result within 0.5% of the observed electronic charge. It therefore challenges a widespread belief that no such complete model could exist at all.
So far the work covers these issues:
And why bother with a new model?
This web site is offered as a resource to those who share with the author an interest in the prospect and possibilities of using wave continuum models for atomic, molecular and crystalline physical systems and in particular to clarify how quanta can emerge in a wave continuum model. The particle based models that are currently the conventional ones serve poorly for some of these tasks. The site explores a specific set of modelling ideas but also offers links to other web sites with similar, related or contrasting approaches.
The following diagram is a map of the concepts comparing the conventional view of quantum mechanics on the right with an alternative model based upon non-Lagrangian continuum structures on the left. Whereas the realist ideas upon which the current models are based lead to a pair of incompatible sub-models, there is no equivalent problem if a constructivist approach is used at the outset. By clicking on the items in the map a link to explanatory notes is obtained (for those items where they have been written).
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|Please make contact for further details, corrections or suggestions to Tony Booth, the author of this web site, initially via the message form above or:|
|phone +44 (0)20-8819-6615||also contact via abooth web site|
|Links to these pages are welcome.||Last updated 26 February 2013|
|All pages on this site are © 2004-2013 A G Booth, London UK|