de Broglie and kirilyuk
Andrei Kirilyuk has focused on deBroglie. I believe you need to read some of his publications when you discuss a de Broglie piloting wave.
http://arxiv.org/pdf/quant-ph/9911107
ABSTRACT. A physically real wave associated to any moving particle and propagating in a
surrounding material medium was introduced by Louis de Broglie in a series of short notes in 1923 and
in the most complete form in his thesis defended in Paris on the 25th November 1924. This result,
recognised by the Nobel Prize in 1929, gave rise to the whole field of the ‘new physics’ known today as
‘quantum mechanics’. However, although such notions as ‘de Broglie wavelength’ and ‘wave-particle
duality’ have become ‘conventional’ in the standard quantum theory, it actually only takes for granted
(postulates) the formula for the wavelength (similar to other its formally postulated ‘results’) and totally
ignores the underlying causal, physically real and transparent picture of quantum/wave behaviour
outlined by Louis de Broglie in his thesis and further considerably developed in his later works, in the
form of ‘double solution’ and ‘hidden thermodynamics’ concepts (the first of them is only
mechanistically imitated within the over-simplified ‘interpretation’ of ‘Bohmian mechanics’, now often
presented as ‘causal de Broglie-Bohm theory’). The payment for such crude deviation from the basic de
Broglian realism is the absolute domination of the fundamental science by purely abstract, detached from
reality and mechanistically simplified schemes made of formal symbols and rules that has inevitably led it
into the deep impasse judiciously described today as the ‘end of science’. However, an independent
approach of the ‘quantum field mechanics’ (quant-ph/9902015,16, gr-qc/9906077) created recently
within the ‘universal science of complexity’ and the related ‘dynamic redundance paradigm’
(physics/9806002) leads to confirmation and natural completion of unreduced de Broglie's results
eliminating all their ‘difficult points’ and reconstituting the causally complete, totally adequate and
naturally unified picture of the objective reality directly extendible to all higher levels of the complex
world dynamics.
Kirilyuk:
http://arxiv.org/pdf/quant-ph/0101129
We have demonstrated, in the previous section, how the Schrödinger equation and the causally
extended wavefunction naturally emerge from the unreduced analysis of the interaction process in the
simple, a priori homogeneous system of two coupled protofields.
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pag: 32
It is important to emphasize that the obtained generalisation is not a formal mathematical
generalisation of the particular equations. As we have shown above, the Schrödinger equation describing
system complexity development at its certain level is causally derived from the unreduced analysis of
interaction between entities of lower level(s), which always includes the dynamic redundance and
entanglement phenomena totally absent in the canonical science that simply postulates, in each particular
case, the ‘suitable’ mathematical form of the main dynamic equation and tries to fit its severely limited,
dynamically single-valued solutions to the observation results. This blind trial-and-error search and purely
technical tricks of the conventional empiricism lead to the abuse of ‘mysteries’ and abstraction at the
lowest complexity levels of the unified world dynamics and to practical absence of any objective
description for higher levels of complexity, where the number of necessary ‘postulates’ grows
dramatically, in proportion to realisation number determining the system complexity. The unreduced
derivation and complex-dynamical interpretation of the universal Schrödinger formalism provide, in
particular, the inherent creativity and dynamic adaptability for the emerging structures that make them
realistically ‘alive’/self-developing, while being totally absent in the dynamically single-valued projections
of the canonical science, they should be artificially added to them within that approach in an inevitably
incomplete form.
All arXiv's of Andrei Kirilyuk :
http://arxiv.org/find/physics/1/au:+Kirilyuk_A/0/1/0/all/0/1
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To me Kirilyuk's protofields is like several spacetime layers which interact.
Layered spacetime is created by self-penetrating unbreakable Brane.
On those local spots spacetime is multi-layered: so concentrated, more dense and less elastic.
Multi-layers create local internal friction which brings thermodynamics, EM, etc.
The brane acts as gravity. Everything is interconnected.
This approach fits in de Broglie's approach.
Dirk