[General] de Broglie Wave Analysis

[Andrew Meulenberg]

Dear John M,

You have provided the best and clearest description yet. Thank you.

Will we have something to cite when we discuss these issues in our papers?

Two items were new to me, the spherical wave description and the model for
the deBroglie wave. Comments on them:

   1. Your picture of the spherical wave is idealized, but it can be useful
   in the same sense that Fourier decomposition is useful. The 'reflector' is
   only a small fraction of the the real reflector, which is diffuse. A
   diffuse reflector will not give identifiable standing waves since it will
   provide an infinite series of low-amplitude waves. I believe that this
   might be the source of the exponential decay resulting in the evanescent
   wave. However, the dark bands of the deBroglie wave might still be present.
   Could you comment on that? (It might be the basis of an appendix.)
   2. If the deBroglie wavelength bands can be shown to be independent of
   'reflector' size and source frequency, then you have provided a powerful
   'tool' for understanding QM. While this is only a mathematical description,
   just as is the Huygens model, it can be as useful. I have provided a more
   'mechanical' basis of the deBroglie wavelength, based on relativistic
   effects on the bound photon. Mathematically they should be the same;
   however, my model depends *explicitly* on c and I do not think that
   yours does. However, I have not yet mathematically proved my model, or that
   difference.

Other comments:

   1. You have used the Planck limit, 10113 J/m3 and pressure of about 10113
   N/m3. Do you claim this to be the average density of space or a maximum
   value at a point before something different happens (e.g., a black hole or
   wormhole forms)? This answer could perhaps respond to John W's question on
   the topic. It also can perhaps address my interest in super-strong gravity.
   2. If uniform thru space, why is the pressure inside the electron
   different from that outside? Is this similar to the Casimir effect?
   3. Why do you chose a rotar for you source, rather than a 'pulsing'
   monopole source as in the water-wave example?
   4. I really liked your derivation of gamma.
   5. On my quick reading of your material, I did not get an explicit
   answer for the size of the heart of an electron except by your comparison
   of the electron with the radius of the rotar. Is that what you consider the
   lowest order rotar?

Andrew
______________________
On Mon, Apr 20, 2015 at 5:44 AM, John Macken <john at macken.com> wrote:

> Hello Everybody,
>
>
>
> I have received questions about how my particle model is stabilized. Those
> questions require several steps to explain and this is the first step that
> also implies a radius and frequency for the electron model.
>
>
>
> The vacuum is characterized as a sea of dipole waves in spacetime that are
> modulating both volume and the rate of time.  These waves are permitted by
> quantum mechanics to have a maximum amplitude such that the distance
> between points will vary by ± Planck length and the difference between
> perfect clocks in flat spacetime will vary by ± Planck time.  These waves
> are at all frequencies up to Planck frequency which implies energy density
> of the energetic vacuum is about 10113 J/m3 and pressure is about 10113
> N/m3. Therefore, vacuum energy can easily offset the electron's internal
> pressure of about 1024 N/m3 if the proper conditions can be achieved.
>
>
>
> There are two parts to this model: the "quantum volume" or heart and the
> "external volume". The heart of the model is the rotating dipole wave in
> spacetime in a spherical volume.  The size of this volume will be
> calculated from the de Broglie wave characteristics.   We are going to
> ignore the internal structure of the heart of an electron for today and
> concentrate on the de Broglie waves that are known to exist external to the
> heart.  We can actually determine the rotational frequency and the
> wavelength of the disturbance making the de Broglie waves from the known
> characteristics of the de Broglie waves.
>
>
>
> The attached PDF document is several pages out of my book which analyze
> the de Broglie waves.  I suggest that you first scan the attached PDF
> document and casually look at the figures before reading the text.  Some
> parts of the text refers to wave amplitude equations which are explained in
> the book but not explained in the attached document.  Those equations can
> be skipped for now.  I have many more figures created in Mathematica that
> are not included here.  Even if you do not agree this model, this sets a
> standard for the degree of modeling and analysis that should be achieved.
> At a later date I will present more details and figures.  Today, I want to
> just analyze de Broglie waves. Note that the de Broglie wave analysis
> implies a frequency and size of the heart of an electron.
>
>
>
> John M.
>
>
>
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