That's a good question Rich. I will have to review it. It may have only to do 
with the elastic constant and the wave number.  I am not sure if these systems 
have a zero point orbit.  

Very good question.  I have no answer for now.

Frank Znidarsic

Sent from my iPad

> On Feb 6, 2015, at 10:18 PM, Rich Murray <[email protected]> wrote:
> 
> Since QM applies to all physical systems, the question arises: does your 
> simple approach apply to systems that do not have an atomic nucleus, such as 
> positronium, an electron and a positron in orbit around their common center 
> of mass?
> 
> with appreciation, Rich Murray
> 
>> On Fri, Feb 6, 2015 at 1:25 PM, Frank Znidarsic <[email protected]> wrote:
>> Thanks Rich.  
>> 
>> I have read of Jones Bennie's comment where he speculates that transformer 
>> action lies at the heart of the cold fusion phenomena.  This is very close 
>> to my logic, however, I have up with a velocity associated with the 
>> transformer action.  The product of the nm dimension and the terahertz 
>> stimulation is 1 million meters per second.  This is Jones' transformer 
>> described in more detail.   So what is the 1 million meters per second?  Its 
>> the velocity of sound in the nucleus.  Once we know this we can derive the 
>> entirety of the quantum condition without and cold fusion.  My paper has no 
>> cold fusion in it.
>> 
>> Jones has also commented about a strong paramagnetic effect.  This idea is 
>> on track but too limited.  We must understand that magnetic fields are not a 
>> conserved property of the universe.  They come and go as needed.  It's the 
>> magnetic component of the strong nuclear force (the spin orbit force) that's 
>> at work in cold fusion.  I believe that Jones has the right idea but the 
>> wrong force.
>> 
>> We have also discussed interpretations of quantum physics.  These are the 
>> Copenhagen and the pilot wave.  A new one emerges as a result of the 
>> transform action.  Transformers match the impedance of a system.  The 
>> interpretation to arrive out of Jones' transformer the impedance matching 
>> interpenetration of quantum physics.  One one photon emerges from a quantum 
>> transition.  That implies that the quantum transition occurs in a single 
>> step without bounce.  How do you match impedance of a line?  With a 
>> transformer, of course.
>> 
>> 
>> 
>> Frank Znidarsic
>> 
>> 
>> 
>> -----Original Message-----
>> From: Rich Murray <[email protected]>
>> To: vortex-L <[email protected]>; Frank Znidarsic <[email protected]>; 
>> Rich Murray <[email protected]>
>> Sent: Thu, Feb 5, 2015 10:51 pm
>> Subject: the entirety of the quantum condition exists within a subset of 
>> Newtonian mechanics... The Quantum Condition and an Elastic Limit, free full 
>> text, 2014 Frank Znidarsic PE: Rich Murray 2015.02.05
>> 
>> the entirety of the quantum condition exists within a subset of Newtonian 
>> mechanics... The Quantum Condition and an Elastic Limit, free full text, 
>> 2014 Frank Znidarsic PE: Rich Murray 2015.02.05
>> http://rmforall.blogspot.com/2015/02/the-entirety-of-quantum-condition.html
>> 
>> 
>> "This author suggests that this extension analysis may demonstrate that the 
>> entirety of the quantum condition exists within a subset of Newtonian 
>> mechanics."
>> 
>> http://benthamopen.com/CHEM/VOLUME/1/
>> 
>> http://benthamopen.com/FULLTEXT/CHEM-1-21
>> 
>> Open Chemistry Journal 
>> ISSN: 1874-8422 ― Volume 1, 2014
>> 
>> The Quantum Condition and an Elastic Limit
>> 
>> Frank Znidarsic P.E.
>> Registered Professional Engineer, State of Pennsylvania
>> 
>> Abstract
>> 
>> Charles-Augustin de Coulomb introduced his equations over two centuries ago. 
>> 
>> These equations quantified the force and the energy of interacting 
>> electrical charges.
>> 
>> The electrical permittivity of free space was factored into Coulomb’s 
>> equations.
>> 
>> A century later James Clear Maxwell showed that the velocity of light 
>> emerged as a consequence this permittivity. 
>> 
>> These constructs were a crowning achievement of classical physics.
>> 
>> In spite of these accomplishments, the philosophy of classical Newtonian 
>> physics offered no causative explanation for the quantum condition. 
>> 
>> Planck’s empirical constant was interjected, ad-hoc, into a description of 
>> atomic scale phenomena. 
>> 
>> Coulomb’s equation was re-factored into the terms of an elastic constant and 
>> a wave number. 
>> 
>> Like Coulomb’s formulation, the new formulation quantified the force and the 
>> energy produced by the interaction of electrical charges.
>> 
>> The Compton frequency of the electron, the energy levels of the atoms, the 
>> energy of the photon, the speed of the atomic electrons, and Planck’s 
>> constant, spontaneously emerged from the reformulation. 
>> 
>> The emergence of these quantities, from a classical analysis, extended the 
>> realm of classical physics into a domain that was considered to be 
>> exclusively that of the quantum.
>> 
>> Keywords: Atomic radii, photoelectric effect, Planck’s constant, the quantum 
>> condition.
>> 
>> Article Information 
>> Identifiers and Pagination:
>> 
>> Year: 2014
>> Volume: 1
>> First Page: 21
>> Last Page: 26
>> Publisher Id: CHEM-1-21
>> DOI: 10.2174/1874842201401010021
>> Article History:
>> 
>> Received Date: 26/06/2014
>> Revision Received Date: 28/07/2014
>> Acceptance Date: 02/09/2014
>> Electronic publication date: 28/11/2014
>> Collection year: 2014
>> 
>> © Frank Znidarsic P.E.; Licensee Bentham Open. 
>> 
>> Open-Access License: This is an open access article licensed under the terms 
>> of the Creative Commons Attribution Non-Commercial License 
>> (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, 
>> non-commercial use, distribution and reproduction in any medium, provided 
>> the work is properly cited.
>> 
>> 
>> * Address correspondence to this author at
>> 481 Boyer St, Johnstown Pa 15906, USA;
>> Tel: 814 505 4638; 
>> E-mail: [email protected]
>> 
>> 1. INTRODUCTION
>> 
>> One school of thought holds that the universe is constructed of continuous 
>> stuff.
>> 
>> Newton’s laws of motion and Einstein’s theory of Special and General 
>> Relativity operate upon this continuum. 
>> 
>> Coulomb’s equation describes the continuous nature of the electrical field.
>> 
>> Maxwell employed Coulomb’s equation and described the wavelike properties of 
>> light. 
>> 
>> Another school of thought holds that the universe is constructed of particle 
>> like things.
>> 
>> These things were quantified with Planck’s empirical constant. 
>> 
>> Einstein used Planck’s constant and introduced the particle of light.
>> 
>> Niels Bohr showed that an atom’s electrons reside in discrete particle like 
>> energy levels [1]
>> 
>> The philosophy of quantum mechanics precisely describes the lumpiness of the 
>> quantum realm. 
>> 
>> This philosophy could not explain why the quantum realm was lumpy.
>> 
>> Max Planck searched for a classical principle that would establish the state 
>> of the quantum.
>> 
>> It has been over a century since Planck’s quest and no classical principle 
>> was discovered. 
>> 
>> The Copenhagen Interpretation of quantum physics was introduced in order to 
>> offer some explanation [2-4]. 
>> 
>> This interpretation describes a probability based reality. 
>> 
>> The everyday classical realm, of our experience, is only a subset of this 
>> mysterious reality. 
>> 
>> The classically wired human mind cannot intuitively grasp the condition of 
>> the quantum reality.
>> 
>> This quandary has become the accepted norm.
>> 
>> 
>> Znidarsic refactored Coulomb’s equation into the terms of an elastic 
>> constant Ke and a displacement Rc.
>> 
>> The elasticity of the electron, like that of a rubber band, is greatest as 
>> it just begins to expand.
>> 
>> It diminishes, from that maximum, with displacement. 
>> 
>> The Compton frequency, of the electron, emerges as this elasticity acts upon 
>> the mass of the electron. 
>> 
>> In general, the wave like properties of stuff emerge as a condition of this 
>> elastic constant.
>> 
>> It was assumed that the electron has a classical limit to its elasticity. 
>> 
>> An electron expels the field of another through a process of elastic 
>> failure. 
>> 
>> The displacement, of the elastic discontinuity, equals classical radius of 
>> the electron Rc.
>> 
>> The wave number of the electromagnetic field was produced as an effect of 
>> this elastic discontinuity. 
>> 
>> In general, the particle like properties of things emerge as a condition of 
>> this wave number.
>> 
>> The duality of matter and waves emerges as an effect of the interaction of 
>> the elastic constant and the wave number.
>> 
>> The elastic constant was used to determine the speed of a longitudinal 
>> mechanical wave in the nucleus.
>> 
>> The quantum condition emerged when the speed of this longitudinal nuclear 
>> wave was set equal to the speed of transverse electronic wave. 
>> 
>> In more general terms, the quantum condition was described as a point where 
>> the speed of sound equals the speed of light. 
>> 
>> The speed match is conceptually equivalent that of one billiard ball 
>> directly impacting another. 
>> 
>> The second ball promptly adsorbs all of the kinetic energy and flies away at 
>> the speed of the impacting ball. 
>> 
>> One snap of sound is emitted. 
>> 
>> Likewise, a single photon is emitted, during the quantum transition. 
>> 
>> A prompt, single step, transfer of energy is a characteristic of a system of 
>> matched impedances.
>> 
>> The particle like properties of things emerged, within stuff, at points of 
>> matching impedance. 
>> 
>> The analysis introduced an “impedance matching” interpretation of quantum 
>> physics. 
>> 
>> The quantification of this impedance match produced elements of the quantum 
>> condition within a subset of Newtonian mechanics.
>> 
>> [ free full text -- commonsense notions lucidly expressed via simple 
>> calculus ]
>> 
>> CONCLUSION
>> 
>> Coulomb’s equation has been used to quantify the force and the energy of the 
>> electric interaction. 
>> 
>> Maxwell extended Coulomb’s formations and produced the speed of light.
>> 
>> These accomplishments were a crowning achievement of classical physics. 
>> 
>> The philosophy of classical physics could not explain the discrete quantum 
>> properties of matter and energy. 
>> 
>> Planck’s constant was injected, into a set of classical constructs, in an 
>> effort to qualify the lumpiness of the quantum realm.
>> 
>> This author refactored Coulomb’s equation into terms of an elastic constant 
>> and a wave number. 
>> 
>> The elastic constant quantified the wave like properties of stuff and the 
>> wave number quantified the particle like properties of things. 
>> 
>> 
>> The analysis, in this paper, was used to describe a small, but important, 
>> portion of the quantum condition. 
>> 
>> This author suggests that this extension analysis may demonstrate that the 
>> entirety of the quantum condition exists within a subset of Newtonian 
>> mechanics.
>> 
>> [ 17 references ]
>> 
>> 
>> "As a matter of course, every soul citizen of Earth has a priority to 
>> quickly find and positively share evidence for healthy and safe food, drink, 
>> environment, and society."
>> 
>> within the fellowship of service,
>> 
>> Rich Murray,
>> MA Boston University Graduate School 1967 psychology,
>> BS MIT 1964 history and physics,
>> 1039 Emory Street, Imperial Beach, CA 91932
>> [email protected]
>> 505-819-7388 cell
>> 619-623-3468 home
>> http://rmforall.blogspot.com
>> https://www.facebook.com/rmforall
>> rich.murray11 free Skype audio, video chat
> 

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