Many thanks to GJE for these generous remarks. He has a complete understanding of all my work back to 1974, and best wishes to his family.
To: EMyrone@aol.com
Sent: 30/11/2017 12:35:34 GMT Standard Time
Subj: Re: Approximate Expression for the Shivering Dipole E FieldAs you say, all of physics is affected by the vacuum. This alone demonstrates, in an easy to envisage way, that a new era for physics is underway.
Diawn, brilliant.
Sent from my Samsung device
This is the final version after discussions with co author Horst Eckardt. The docx file used for translation is not changed. There are two additional clarifying notes. Eqs. (36), (37) and (38) are changed. This is the first time that the zitterbewegung theory of the Lamb shift has been applied to macroscopic classical electrodynamics, opening up an entirely new subject area. Horst’s Section 3 is planned to contain graphics and a calculation of the mean E with more terms. There is no reasonable or scientific doubt that the vacuum’s mean square fluctuation <delta r dot delta r> produces an electric field strength (Eq. (38)). The same type of fluctuation produces the famous Lamb shift. The aim is to maximize the vacuum induced E using circuits design, for example resonance.
Starting from the basic expression (1) the approximation (7) is used to produce the simple expression (19) for the shivering dipole E field. It is seen that the effect of the vacuum is always due to the mean square fluctuations <delta r squared>. The complete expression without using the approximation (7) has been worked out by Horst and will be given in Section 3 and the results graphed. I will now send for reposting the final version of Sections 1 and 2 of UFT393. All the equations of physics are affected by the vacuum. Standard model physics considerfs only the radiative corrections in quantum electrodynamics, a “dippy theory” according to Feynman himself. It is clearly of advantage to maximize the electric power available to a circuit from the vacuum, and a resonance mechanism can be investigated, a more advanced level of ECE spin connection resonance theory.
Best wishes to her from all here.
In a message dated 29/11/2017 23:31:16 GMT Standard Time, mail@horst-eckardt.de writes:
I will fetch my mother (91 years) from a residential care home at the weekend. She had a gastrointestinal operation and has recovered now. She prefers to stay at home and will live in her house again.
Horst
Am 29.11.2017 um 13:41 schrieb EMyrone:
It could but well worth the effort because the man square fluctuations can be modelled in several ways. I trust that your family is well, and best wishes from all at AIAS. The graphics will also be very interesting
o: EMyrone
Sent: 29/11/2017 10:28:05 GMT Standard Time
Subj: Re: [Spamverdacht] Checking 393(6)In a program for averaging, the rules for cross-correlation etc. have to be included. This could become a bit complicated. I will see if it is possible with reasonable effort.
From Thursday to Monday I will not be at home for family reasons, I hope I can do something in-between.Horst
Am 29.11.2017 um 11:17 schrieb EMyrone:
Many thanks indeed for all this work. I will write out the final result for the total expression for E. It would be very useful to write code to average the final result by computer. I will average it by hand first. The calculations are straightforward but tedious. The results are full of interest
To: EMyrone
Sent: 28/11/2017 16:28:28 GMT Standard Time
Subj: Re: Checking 393(6)I had to check the averaging operations by hand. All seems o.k. up to eq. (25). From the 8 contributions of (16), I obtain
E_1 ~ 1/r^5 * (5/3 r (p*r) <delta r*delta r> + 1/9 p <(delta r*delta r)^2> + 1/3 <delta r*delta r> r.
The last term (from contribution 6) seems to be missing in your eq. (26), and for the first term I obtained the factor 5/3 instead of 7/3.
In eq. (15) the factor should be 11/6 because a 4 is already below the fraction bar. The total result (27) will change.
Computer algebra obtains for E_1 the simplified expression (without averaging):
where dr^2 means bold delta r * bold delta r, and dr, r and p are vectors, the dot is the scalar product. By this expression one could also compute higher terms in delta r. It seems that you used 4th order in eq.(25) but neglected 3rd order at other places.The total expression for E is
Horst
Am 28.11.2017 um 10:35 schrieb EMyrone:
Thanks again, agreed about the typo. A check by computer algebra of this hand calculation would be essential, in my opinion, because things get complicated. If errors are fund by computer, the papers will be corrected and reposted. One of the important things to note is that the gradient operator is defined by Eq. (16) of Note 393(4). The basic axiom is that r is replaced by r + delta r in all physics. More generally, angles are also changed in the same way in all physics. However, for the Coulonb law and dipole fields it is sufficient to consider the replacement of r by r + delta r. This is the procedure used in the highly accurate Lamb shift theory.
To: EMyrone
Sent: 27/11/2017 20:48:59 GMT Standard Time
Subj: Re: 393(6): Shivering Electric Dipole Field in the Presence of the VacuumIs there a typo in eq.(10) ? should it read <delta X^2> instead of <X^2> , etc. ?
I hast still to check the rest of the note.Horst
Am 22.11.2017 um 12:09 schrieb EMyrone:
This is Eq. (27) to first order in x of the binomial expansion of previous notes. The zitterbewegung theory results in a very rich structure and a completely new subject: the zitterbewegung or shivering theory of macroscopic electrodynamics in the presence of the vacuum. This theory is ideal for computer algebra because the calculations quickly become laborious. My hand calculations for UFT393 should be checked as usual by computer algebra, and graphed, when Horst returns from vacation. The effect of the vacuum is very intricate, and the vacuum is ubiquitous and ever present. Note carefully that this is the same theory as used to calculate the Lamb shift with great accuracy. So there is great confidence in the theory.
The equivalent of 300,603 printed pages was downloaded (1.096 gigabytes) from 2,745 downloaded memory files (hits) and 645 distinct visits each averaging 3.6 memory pages and 9 minutes, printed pages to hits ratio of 109.51, top referrals total 2,333,826, main spiders Baidu, Google, MSN and Yahoo. Collected ECE2 3026, Top ten 1356, Collected Evans / Morris 924(est), Collected scientometrics 610(est), F3(Sp) 394, Principles of ECE 294, Barddoniaeth / Collected Poetry 265, Collected Eckardt / Lindstrom 259, Autobiography volumes one and two 171, UFT88 164, Collected Proofs 122, Evans Equations 120, Engineering Model 84, MJE 79, CV 72, PECE 71, UFT311 62, CEFE 54, UFT321 45, 83Ref 38, SCI 34, PECE2 32, Llais 30, ADD 24, UUFT313 38, UFT314 40, UFT315 52, UFT316 25, UFT317 34, UFT318 43, UFT319 60, UFT320 51, UFT322 40, UFT323 40, UFT324 71, UFT325 56, UFT326 38, UFT327 44, UFT328 49, UFT329 45, UFT330 35, UFT331 52, UFT332 40, UFT333 28, UFT334 19, UFT335 42, UFT336 43, UFT337 21, UFT338 32, UFT339 34, UFT340 33, UFT341 37, UFT342 33, UFT343 35, UFT344 22, UFT345 53, UFT346 45, UFT347 43, UFT348 51, UFT349 36, UFT351 50, UFT352 43, UFT353 49, UFT354 53, UFT355 33, UFT356 35, UFT357 33, UFT358 51, UFT359 30, UFT360 23, UFT361 20, UFT362 31, UFT363 32, UFT364 40, UFT365 36, UFT366 32, UFT367 51, UFT368 29, UFT369 40, UFT370 27, UFT371 21, UFT372 24, UFT373 25, UFT374 24, UFT375 20, UFT376 20, UFT377 34, UFT378 24, UFT379 18, UFT380 27, UFT381 35, UUFT382 56, UFT383 58, UFT384 30, UFT385 44, UFT386 35, UFT387 39, UFT388 38, UFT389 62, UFT390 49, UFT391 63, UFT392 52, UFT393 13 to date in November 2017. Universiy of Waterloo UFT13 and general; University of Biobio Chile UFT151, University of Duisburg-Essen general; University of Vigo general; Italian National Institute for Nuclear Research (INFN) Bologna UFT149; Department of Applied Mathematics University of Milan Bicocca V9 poster; Wayback Machine archiving; Dhlagren Gallery of Contemporary Art, Paris general; de la Salle University Philippines general. Intense interest all sectors, updated usage file attached for November 2017.
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It could but well worth the effort because the man square fluctuations can be modelled in several ways. I trust that your family is well, and best wishes from all at AIAS. The graphics will also be very interesting
o: EMyrone@aol.com
Sent: 29/11/2017 10:28:05 GMT Standard Time
Subj: Re: [Spamverdacht] Checking 393(6)In a program for averaging, the rules for cross-correlation etc. have to be included. This could become a bit complicated. I will see if it is possible with reasonable effort.
From Thursday to Monday I will not be at home for family reasons, I hope I can do something in-between.Horst
Am 29.11.2017 um 11:17 schrieb EMyrone:
Many thanks indeed for all this work. I will write out the final result for the total expression for E. It would be very useful to write code to average the final result by computer. I will average it by hand first. The calculations are straightforward but tedious. The results are full of interest
To: EMyrone
Sent: 28/11/2017 16:28:28 GMT Standard Time
Subj: Re: Checking 393(6)I had to check the averaging operations by hand. All seems o.k. up to eq. (25). From the 8 contributions of (16), I obtain
E_1 ~ 1/r^5 * (5/3 r (p*r) <delta r*delta r> + 1/9 p <(delta r*delta r)^2> + 1/3 <delta r*delta r> r.
The last term (from contribution 6) seems to be missing in your eq. (26), and for the first term I obtained the factor 5/3 instead of 7/3.
In eq. (15) the factor should be 11/6 because a 4 is already below the fraction bar. The total result (27) will change.
Computer algebra obtains for E_1 the simplified expression (without averaging):
where dr^2 means bold delta r * bold delta r, and dr, r and p are vectors, the dot is the scalar product. By this expression one could also compute higher terms in delta r. It seems that you used 4th order in eq.(25) but neglected 3rd order at other places.The total expression for E is
Horst
Am 28.11.2017 um 10:35 schrieb EMyrone:
Thanks again, agreed about the typo. A check by computer algebra of this hand calculation would be essential, in my opinion, because things get complicated. If errors are fund by computer, the papers will be corrected and reposted. One of the important things to note is that the gradient operator is defined by Eq. (16) of Note 393(4). The basic axiom is that r is replaced by r + delta r in all physics. More generally, angles are also changed in the same way in all physics. However, for the Coulonb law and dipole fields it is sufficient to consider the replacement of r by r + delta r. This is the procedure used in the highly accurate Lamb shift theory.
To: EMyrone
Sent: 27/11/2017 20:48:59 GMT Standard Time
Subj: Re: 393(6): Shivering Electric Dipole Field in the Presence of the VacuumIs there a typo in eq.(10) ? should it read <delta X^2> instead of <X^2> , etc. ?
I hast still to check the rest of the note.Horst
Am 22.11.2017 um 12:09 schrieb EMyrone:
This is Eq. (27) to first order in x of the binomial expansion of previous notes. The zitterbewegung theory results in a very rich structure and a completely new subject: the zitterbewegung or shivering theory of macroscopic electrodynamics in the presence of the vacuum. This theory is ideal for computer algebra because the calculations quickly become laborious. My hand calculations for UFT393 should be checked as usual by computer algebra, and graphed, when Horst returns from vacation. The effect of the vacuum is very intricate, and the vacuum is ubiquitous and ever present. Note carefully that this is the same theory as used to calculate the Lamb shift with great accuracy. So there is great confidence in the theory.
Looks like a very interesting plan!
To: EMyrone@aol.com
Sent: 29/11/2017 10:13:43 GMT Standard Time
Subj: Graphics for UFT393I am planning to make a comparison for an electric dipole field with
1) without delta r
2) with a finite delta r according to eq. (23) of the paper
3) with an averaged <delta r * delta r> according to eq. (38)This should make clear the shivering effects.
Horst
I think that the dot (r + delta r) in the last equation should be + (r + delta r). This is just a typo.
In a message dated 28/11/2017 16:28:28 GMT Standard Time, writes:
I had to check the averaging operations by hand. All seems o.k. up to eq. (25). From the 8 contributions of (16), I obtain
E_1 ~ 1/r^5 * (5/3 r (p*r) <delta r*delta r> + 1/9 p <(delta r*delta r)^2> + 1/3 <delta r*delta r> r.
The last term (from contribution 6) seems to be missing in your eq. (26), and for the first term I obtained the factor 5/3 instead of 7/3.
In eq. (15) the factor should be 11/6 because a 4 is already below the fraction bar. The total result (27) will change.
Computer algebra obtains for E_1 the simplified expression (without averaging):
where dr^2 means bold delta r * bold delta r, and dr, r and p are vectors, the dot is the scalar product. By this expression one could also compute higher terms in delta r. It seems that you used 4th order in eq.(25) but neglected 3rd order at other places.The total expression for E is
Horst
Am 28.11.2017 um 10:35 schrieb EMyrone:
Thanks again, agreed about the typo. A check by computer algebra of this hand calculation would be essential, in my opinion, because things get complicated. If errors are fund by computer, the papers will be corrected and reposted. One of the important things to note is that the gradient operator is defined by Eq. (16) of Note 393(4). The basic axiom is that r is replaced by r + delta r in all physics. More generally, angles are also changed in the same way in all physics. However, for the Coulonb law and dipole fields it is sufficient to consider the replacement of r by r + delta r. This is the procedure used in the highly accurate Lamb shift theory.
To: EMyrone
Sent: 27/11/2017 20:48:59 GMT Standard Time
Subj: Re: 393(6): Shivering Electric Dipole Field in the Presence of the VacuumIs there a typo in eq.(10) ? should it read <delta X^2> instead of <X^2> , etc. ?
I hast still to check the rest of the note.Horst
Am 22.11.2017 um 12:09 schrieb EMyrone:
This is Eq. (27) to first order in x of the binomial expansion of previous notes. The zitterbewegung theory results in a very rich structure and a completely new subject: the zitterbewegung or shivering theory of macroscopic electrodynamics in the presence of the vacuum. This theory is ideal for computer algebra because the calculations quickly become laborious. My hand calculations for UFT393 should be checked as usual by computer algebra, and graphed, when Horst returns from vacation. The effect of the vacuum is very intricate, and the vacuum is ubiquitous and ever present. Note carefully that this is the same theory as used to calculate the Lamb shift with great accuracy. So there is great confidence in the theory.
Many thanks indeed for all this work. I will write out the final result for the total expression for E. It would be very useful to write code to average the final result by computer. I will average it by hand first. The calculations are straightforward but tedious. The results are full of interest
To: EMyrone@aol.com
Sent: 28/11/2017 16:28:28 GMT Standard Time
Subj: Re: Checking 393(6)I had to check the averaging operations by hand. All seems o.k. up to eq. (25). From the 8 contributions of (16), I obtain
E_1 ~ 1/r^5 * (5/3 r (p*r) <delta r*delta r> + 1/9 p <(delta r*delta r)^2> + 1/3 <delta r*delta r> r.
The last term (from contribution 6) seems to be missing in your eq. (26), and for the first term I obtained the factor 5/3 instead of 7/3.
In eq. (15) the factor should be 11/6 because a 4 is already below the fraction bar. The total result (27) will change.
Computer algebra obtains for E_1 the simplified expression (without averaging):
where dr^2 means bold delta r * bold delta r, and dr, r and p are vectors, the dot is the scalar product. By this expression one could also compute higher terms in delta r. It seems that you used 4th order in eq.(25) but neglected 3rd order at other places.The total expression for E is
Horst
Am 28.11.2017 um 10:35 schrieb EMyrone:
Thanks again, agreed about the typo. A check by computer algebra of this hand calculation would be essential, in my opinion, because things get complicated. If errors are fund by computer, the papers will be corrected and reposted. One of the important things to note is that the gradient operator is defined by Eq. (16) of Note 393(4). The basic axiom is that r is replaced by r + delta r in all physics. More generally, angles are also changed in the same way in all physics. However, for the Coulonb law and dipole fields it is sufficient to consider the replacement of r by r + delta r. This is the procedure used in the highly accurate Lamb shift theory.
To: EMyrone
Sent: 27/11/2017 20:48:59 GMT Standard Time
Subj: Re: 393(6): Shivering Electric Dipole Field in the Presence of the VacuumIs there a typo in eq.(10) ? should it read <delta X^2> instead of <X^2> , etc. ?
I hast still to check the rest of the note.Horst
Am 22.11.2017 um 12:09 schrieb EMyrone:
This is Eq. (27) to first order in x of the binomial expansion of previous notes. The zitterbewegung theory results in a very rich structure and a completely new subject: the zitterbewegung or shivering theory of macroscopic electrodynamics in the presence of the vacuum. This theory is ideal for computer algebra because the calculations quickly become laborious. My hand calculations for UFT393 should be checked as usual by computer algebra, and graphed, when Horst returns from vacation. The effect of the vacuum is very intricate, and the vacuum is ubiquitous and ever present. Note carefully that this is the same theory as used to calculate the Lamb shift with great accuracy. So there is great confidence in the theory.
This is the check by hand, giving the same answer r <delta r dot delta r>. It is certainly worth writing a program to code in the isotropy rules exemplified in this note, and recheck this hand calculation with Maxima. The program could then be used for the magnetic dipole field and so on. Gradually the program could be extended for all of electrodynamics and indeed all of physics, with angular as well as linear fluctuations. Vacuum maps or spin connections of all kinds can be computed for any problem in physics.
In a message dated 28/11/2017 10:28:13 GMT Standard Time, writes:
When setting linear, orthogonal and cross correlation to zero, and restricting to second order terms, my calculation of eq.(7) gives the result for the X component:
This is not a multiple of <delta r * delta r> because the factor 3 appears only in front of one term. Could you please check this?
Horst
Am 28.11.2017 um 10:23 schrieb EMyrone:
Thanks again for checking with computer algebra. The terms set to zero are defined by Eq. (6), which is the assumption that orthogonal correlations are not correlated in an isotropic ensemble. The cross correlation functions (see Omnia Opera) are zero, the autocorrelation functions are not zero. Agreed that there should be no factor 3, because
<delta X squared + delta Y squared + delta Z squared)> = <delta r squared>
So the factor 3 should be removed from the right hand side of Eq. (36) and the factor 9 in Eq. (37) replaced by 3. I will repost the paper to make this entirely clear.
To: EMyrone
Sent: 27/11/2017 20:05:51 GMT Standard Time
Subj: Re: 393(5): Effect of the Vacuum on the Dipole PotentialConcerning eq.(7), which terms did you set to zero? Did you neglect terms of third order in delta X ?. There are terms like
<Z*delta X*delta Z>
and
<X*Z*delta Z>.Do these terms vanish too although they are not of type <delta Z> or <delta X * delta Z> ?
The last line of the protocol is the X component of (7). I do not see a factor of 3.Horst
Am 20.11.2017 um 13:16 schrieb EMyrone:
Using the zitterbewegung theory to first order in x of note 393(4), the effect of the vacuum on the well known dipole potential of electrostatics is to change it to Eq. (8) from Eq. (9). The dipole potential actually obseved is always the dipole potential in the presence of the vacuum, Eq. (8). This is shown conclusively by the radiative corrections, which are always present, and which are accurately observable as is well known. So the entire subject of electrodynamics can now be developed correctly with consideration of the vacuum. The same is true for gravitation. fluid dynamics and indeed, all of physics and engineering, unified by ECE2 generally covariant field theory. It would be very interesting to graph and compare Eqs. (8) and (9). In the first instance the mean square displacement can be used simply as an input parameter. In future work it can be calculated or computed in various ways, as in earlier notes for UFT393. There is no reasonable doubt that the vacuum (or aether or spacetime) contains a source of inexhaustible, safe and clean energy. This source can be used in patented and replicated circuits such as those of UFT311, UFT364, UFT382, and UFT383. This has been known since the Lamb shift was discovered in the mid forties. The zitterbewegung theory used to explain the Lamb shift conserves total energy momentum, and total charge / current density. Now it is known that it must also conserve antisymmetry. All schools of thought can accept this theory. It is the simple and straightforward extension of Lamb shift theory to macroscopic electrodynamics.
