<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div class="discussion-comment-post-wrapper" style="box-sizing: border-box; color: rgb(73, 72, 72); font-family: Roboto, Roboto, "Helvetica Neue", sans-serif; font-size: 14px;"><div class="js-comment-body post" style="box-sizing: border-box; margin-top: 0.8em; margin-bottom: 0.8em; white-space: pre-wrap; line-height: 22px; font-family: Georgia, serif;"><span class="js-non-expanded-comment" style="box-sizing: border-box;">Hello Oreste (and all),
I agree with what you recently wrote at <a href="https://www.academia.edu/s/16109ceabf/entangled-double-helix-superluminal-composite-photon-model-defined-by-fine-structure-constant?source=link" class="">https://www.academia.edu/s/16109ceabf/entangled-double-helix-superluminal-composite-photon-model-defined-by-fine-structure-constant?source=link</a> , and I am a big fan of the double-helix photon model. But what you wrote is not analytical proof that the superluminal double-helix oppositely-charged rotating dipole model of the photon generates the experimentally validated Huygens-Fresnel diffraction equation, which is itself an approximation of more precise wave diffraction equations such as Kirchhoff's diffraction formula and Kirchhoff's integral theorem. See a discussion of these va</span><span class="js-expanded-comment" style="box-sizing: border-box;">rious formulas at <a href="https://en.wikipedia.org/wiki/Kirchhoff%27s_diffraction_formula" title="https://en.wikipedia.org/wiki/Kirchhoff%27s_diffraction_formula" target="_blank" style="box-sizing: border-box; color: rgb(66, 139, 202); text-decoration: none; word-wrap: break-word; border-bottom-width: 1px; border-bottom-style: dashed; border-bottom-color: rgb(102, 102, 102);" class="">https://en.wikipedia.org/wiki/Kirchhoff%27s_diffraction_formula</a> . I think that derivations of these diffraction laws, which are extensively experimentally confirmed, need to be attempted for the double-helix photon model and be successful if we are to gain greater acceptance of the model.
The results of such attempts will either help to confirm the photon model or show that the model in its present form is inadequate for predicting known experimental diffraction phenomena. Furthermore, any successful spatio-temporal model of the photon should also make new experimental predictions that go beyond already known and established diffraction formulas, and these new predictions should also be confirmed. For different mathematical models for predicting a physical phenomenon, given enough adjustable parameters and constants in the models, can predict with the same experimental accuracy the same known experimental or observational results. So I think that there's still a little work to do to establish the double-helix photon model. But I think that an interested theoretical quantum physicist who is an expert in diffraction theory would be able to attempt to derive these diffraction formulas from the double-helix photon model. These mathematical analyses, if confirmed by others, could either help confirm or reject the double-helix photon model as it stands today. Any volunteers?
Richard</span></div></div><div><blockquote type="cite" class=""><div class="">On Feb 22, 2018, at 9:34 AM, Roychoudhuri, Chandra <<a href="mailto:chandra.roychoudhuri@uconn.edu" class="">chandra.roychoudhuri@uconn.edu</a>> wrote:</div><br class="Apple-interchange-newline"><div class=""><div class="WordSection1" style="page: WordSection1; font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;"><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class="">Good feedback, Richard G.<o:p class=""></o:p></span></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class="">Chandra.<o:p class=""></o:p></span></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class=""><o:p class=""> </o:p></span></div><div class=""><div style="border-style: solid none none; border-top-width: 1pt; border-top-color: rgb(225, 225, 225); padding: 3pt 0in 0in;" class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><b class=""><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">From:</span></b><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""><span class="Apple-converted-space"> </span>General [<a href="mailto:general-bounces+chandra.roychoudhuri=uconn.edu@lists.natureoflightandparticles.org" class="">mailto:general-bounces+chandra.roychoudhuri=uconn.edu@lists.natureoflightandparticles.org</a>]<span class="Apple-converted-space"> </span><b class="">On Behalf Of<span class="Apple-converted-space"> </span></b><a href="mailto:richgauthier@gmail.com" class="">richgauthier@gmail.com</a><br class=""><b class="">Sent:</b><span class="Apple-converted-space"> </span>Thursday, February 22, 2018 12:05 PM<br class=""><b class="">To:</b><span class="Apple-converted-space"> </span>Nature of Light and Particles - General Discussion <general@lists.natureoflightandparticles.org><br class=""><b class="">Cc:</b><span class="Apple-converted-space"> </span>Oreste Caroppo <orestecaroppo@yahoo.it><br class=""><b class="">Subject:</b><span class="Apple-converted-space"> </span>Re: [General] Superluminal double-helix photon model and its inertial mass<o:p class=""></o:p></span></div></div></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class="">Hello Chandra and all,<o:p class=""></o:p></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> Thank you for your comments. Just to remind others: "<span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">The </span><b class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34);" class="">Huygens–Fresnel principle</span></b><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> (named after </span><a href="https://en.wikipedia.org/wiki/Netherlands" title="Netherlands" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">Dutch</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> </span><a href="https://en.wikipedia.org/wiki/Physicist" title="Physicist" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">physicist</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> </span><a href="https://en.wikipedia.org/wiki/Christiaan_Huygens" title="Christiaan Huygens" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">Christiaan Huygens</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> and </span><a href="https://en.wikipedia.org/wiki/France" title="France" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">French</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> physicist </span><a href="https://en.wikipedia.org/wiki/Augustin-Jean_Fresnel" title="Augustin-Jean Fresnel" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">Augustin-Jean Fresnel</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">) is a method of analysis applied to problems of </span><a href="https://en.wikipedia.org/wiki/Wave_propagation" title="Wave propagation" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">wave propagation</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> both in the </span><a href="https://en.wikipedia.org/wiki/Far-field_diffraction_pattern" title="Far-field diffraction pattern" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">far-field limit</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> and in near-field </span><a href="https://en.wikipedia.org/wiki/Diffraction" title="Diffraction" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">diffraction</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">. It states that every point on a </span><a href="https://en.wikipedia.org/wiki/Wavefront" title="Wavefront" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">wavefront</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""> is itself the source of spherical </span><a href="https://en.wikipedia.org/wiki/Wavelet" title="Wavelet" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(11, 0, 128); text-decoration: none;" class="">wavelets</span></a><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">.” </span><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(34, 34, 34);" class=""><a href="https://en.wikipedia.org/wiki/Huygens%E2%80%93Fresnel_principle" style="color: purple; text-decoration: underline;" class="">https://en.wikipedia.org/wiki/Huygens–Fresnel_principle</a></span> .<o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> This principle has been very reliable for predicting diffraction and scattering patterns both for light and for particles like electrons. As I recall, Max Born (who proposed the probability interpretation of the quantum wave function) showed that the probability of scattering of electrons from an atom could be modeled by combining an incoming plane wave (corresponding to a beam of incoming electrons) with a spherical wave coming from the scattering object. So the Huygens-Fresnel principle applies to electron scattering as well as to light diffraction. All this despite the particle-like properties of both photons and electrons, and despite the fact that the double-slit interference/probability pattern is found even when electrons or photons can pass through the double-slit apparatus only one at a time, where there is no possibility of interaction/interference between two particles in the apparatus at the same time.<o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> The superluminal double-helix photon model doesn’t replace electromagnetic waves and their diffraction properties with pure particles. Rotating oppositely-charged dipoles composed of superluminal energy quanta would generate electromagnetic waves which could predict statistically where the dipole photon would be found in the future. And since the generated electromagnetic waves from the dipole photon model would be at the same angular frequency omega as that of the photon model itself, only one photon model (with energy E=hbar omega) could be produced as a result of the electromagnetic probability waves radiated from a particular photon model.<o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> So I am confident that the Huygens-Fresnel principle, which has strong experimental support, will not be in contradiction with a workable photon model. I am hopeful that the superluminal charged-dipole double helix photon model will be such a model. Time will tell.<o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> Richard<o:p class=""></o:p></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><br class=""><br class=""><o:p class=""></o:p></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;" class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class="">On Feb 21, 2018, at 1:39 PM, Roychoudhuri, Chandra <<a href="mailto:chandra.roychoudhuri@uconn.edu" style="color: purple; text-decoration: underline;" class="">chandra.roychoudhuri@uconn.edu</a>> wrote:<o:p class=""></o:p></div></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class="">Richard:<span class="apple-converted-space"> </span></span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class="">We all register, perceive and model the world differently. This is very much like the proverbial bunch of blind men modeling the Cosmic Elephant. My view is as follows, which I have written many many times before on this forum. I have not seen anything yet that would help me to change my mind. However, I am open to change simply because we still do not know the ultimate nature of the EM waves.</span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class=""> <span class="apple-converted-space"> </span></span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class=""> As a lifelong experimentalist, I view EM waves as diffractively spreading EM waves, not as “indivisible light quanta”. The entire field of optical science and engineering could not be continuing to flourish for several hundred years, without any paradigm shift, without the guidance of the Huygens-Fresnel diffraction integral. QM has not provided us with any rational mathematical equation that can replace this HF integral. Some people have attempted to co-opt this HF integral into the quantum domain by replacing (2”pi”/”Lambda”) by “k-vector” and calling it momentum vector and then assigned quantum properties. The problem with “photon” as indivisible energy quanta is that EM waves can share its energy with various interactants in multiple steps while sharing any amount of energy. Further, the quadratic energy transfer from the EM waves always precedes amplitude-amplitude stimulation. However, quantized atoms and molecules, of course, can absorb and emit “h‘nu’” quantity of energy at any one transition. The emitted packet evolves diffractively. During absorption, the atomic “quantum cup” is filled up out of classical EM waves.</span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class=""> In this regard, I am a follower of Planck, the father of “light quanta”.</span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class=""> </span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14pt;" class="">Chandra.</span><o:p class=""></o:p></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);" class=""> </span><o:p class=""></o:p></div></div><div class=""><div style="border-style: solid none none; border-top-width: 1pt; border-top-color: rgb(225, 225, 225); padding: 3pt 0in 0in;" class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><b class=""><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">From:</span></b><span class="apple-converted-space"><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class=""> </span></span><span style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">General [<a href="mailto:general-bounces+chandra.roychoudhuri=uconn.edu@lists.natureoflightandparticles.org" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">mailto:general-bounces+chandra.roychoudhuri=uconn.edu@lists.natureoflightandparticles.org</span></a>]<span class="apple-converted-space"> </span><b class="">On Behalf Of<span class="apple-converted-space"> </span></b><a href="mailto:richgauthier@gmail.com" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">richgauthier@gmail.com</span></a><br class=""><b class="">Sent:</b><span class="apple-converted-space"> </span>Wednesday, February 21, 2018 1:36 PM<br class=""><b class="">To:</b><span class="apple-converted-space"> </span>Nature of Light and Particles - General Discussion <<a href="mailto:general@lists.natureoflightandparticles.org" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">general@lists.natureoflightandparticles.org</span></a>><br class=""><b class="">Cc:</b><span class="apple-converted-space"> </span>Oreste Caroppo <<a href="mailto:orestecaroppo@yahoo.it" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">orestecaroppo@yahoo.it</span></a>>; martin Mark van der <<a href="mailto:martin.van.der.mark@philips.com" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">martin.van.der.mark@philips.com</span></a>><br class=""><b class="">Subject:</b><span class="apple-converted-space"> </span>[General] Superluminal double-helix photon model and its inertial mass</span><o:p class=""></o:p></div></div></div></div><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> <o:p class=""></o:p></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 11.5pt;" class="">Hi Chandra, John, Martin and all,</span><o:p class=""></o:p></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> <o:p class=""></o:p></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 11.5pt;" class=""> I just wanted to share (attached below as a PDF file) my latest article on the superluminal double-helix model of the photon and the derivation of its inertial mass: “Entangled double-helix superluminal photon model defined by fine structure constant has inertial mass M=E/c^2”. It’s also at<span class="apple-converted-space"> </span><a href="https://richardgauthier.academia.edu/research" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">https://richardgauthier.academia.edu/research</span></a><span class="apple-converted-space"> </span>(at the bottom of the page). I originally proposed the superluminal double-helix photon model in 2002 (see Appendix in my article). Comments are of course welcome. It’s interesting that the identical superluminal double-helix photon model was discovered independently by Oreste Caroppo in Italy in 2005. He suggests that the concept of the double-helix photon was overlooked by Maxwell, though consistent with Maxwell’s equations. Electromagnetic waves may carry circulating dipoles of opposite charge, even in a vacuum, that generate these electromagnetic waves. The discovery of the photon would not have been such a surprise if Maxwell had not overlooked this possibility. See Caroppo's </span><span style="font-size: 14.5pt;" class="">“Maxwell’s error, the great original sin of modern physics” at</span><span style="font-size: 11.5pt;" class=""> <a href="http://fiatlux.altervista.org/abstract-maxwell-s-error-the-great-original-sin-of-modern-physics-with-a-new-unification-the-model-explains-photon-.html" style="color: purple; text-decoration: underline;" class=""><span style="color: purple;" class="">http://fiatlux.altervista.org/abstract-maxwell-s-error-the-great-original-sin-of-modern-physics-with-a-new-unification-the-model-explains-photon-.html</span></a><span class="apple-converted-space"> </span>. Many physics theories of the past 150 years would have to be revisited and perhaps revised in the light of the double-helix photon approach, writes Caroppo.</span><o:p class=""></o:p></div></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 14.5pt;" class=""> </span><o:p class=""></o:p></div></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 11.5pt;" class=""> all the best,</span><o:p class=""></o:p></div></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 11.5pt;" class=""> Richard</span><o:p class=""></o:p></div></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> <o:p class=""></o:p></div></div></div></div></div><div class=""><div class=""><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> <o:p class=""></o:p></div></div><div class=""><div class=""><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""> <o:p class=""></o:p></div></div></div></div></div></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><span style="font-size: 9pt; font-family: Helvetica, sans-serif;" class="">_______________________________________________<br class="">If you no longer wish to receive communication from the Nature of Light and Particles General Discussion List at<span class="apple-converted-space"> </span></span><a href="mailto:richgauthier@gmail.com" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 9pt; font-family: Helvetica, sans-serif; color: purple;" class="">richgauthier@gmail.com</span></a><span style="font-size: 9pt; font-family: Helvetica, sans-serif;" class=""><br class=""><a href="</span><a href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1" style="color: purple; text-decoration: underline;" class=""><span style="font-size: 9pt; font-family: Helvetica, sans-serif; color: purple;" class="">http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1</span></a><span style="font-size: 9pt; font-family: Helvetica, sans-serif;" class="">"><br class="">Click here to unsubscribe<br class=""></a></span><o:p class=""></o:p></div></div></blockquote></div><div style="margin: 0in 0in 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;" class=""><o:p class=""> </o:p></div></div></div></div><span style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; float: none; display: inline !important;" class="">_______________________________________________</span><br style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;" class=""><span style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; float: none; display: inline !important;" class="">If you no longer wish to receive communication from the Nature of Light and Particles General Discussion List at<span class="Apple-converted-space"> </span></span><a href="mailto:richgauthier@gmail.com" style="color: purple; text-decoration: underline; font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">richgauthier@gmail.com</a><br style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;" class=""><span style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; float: none; display: inline !important;" class=""><a href="</span><a href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1" style="color: purple; text-decoration: underline; font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/richgauthier%40gmail.com?unsub=1&unsubconfirm=1</a><span style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; float: none; display: inline !important;" class="">"></span><br style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;" class=""><span style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; float: none; display: inline !important;" class="">Click here to unsubscribe</span><br style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;" class=""><span style="font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; float: none; display: inline !important;" class=""></a></span></div></blockquote></div><br class=""></body></html>