<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
</head>
<body text="#000000" bgcolor="#FFFFFF">
<p>Hello Richard,</p>
<p>I also want to give a short comment to your description, even
though you already know most of my position about it.</p>
<p>Your electron model has superluminal sub-parts in it. This is a
big challenge to all what we believe in physics. You have asked
whether Einstein made statements about speed limitations of any
motion inside a particle. This latter point can to my knowledge
easily be answered. Einstein's opinion was that the limitation to
c is a property of space-time as he understood it. So, Einstein
would to my knowledge not accept any superluminal speed inside an
electron.</p>
<p>But why so special? I have shown here an electron model (which
also functions as a general particle model) which does not need
superluminal speed. On the contrary, in this model the internal
speed is constantly c; which explains the relativistic dilation in
a physical way (i.e. no need to assume specifics about space,
time, or space-time). This model also explains the magnetic moment
very precisely in a classical way, also the constancy of spin for
all particles. And it explains inertia in a classical way, also
with very precise results, additionally covering the relativistic
behaviour of mass and mass-energy. <br>
</p>
<p>So, my question:why so complicated? The simple model has all what
we need.</p>
<p>Best<br>
Albrecht<br>
</p>
<br>
<div class="moz-cite-prefix">Am 01.07.2018 um 01:05 schrieb
<a class="moz-txt-link-abbreviated" href="mailto:richgauthier@gmail.com">richgauthier@gmail.com</a>:<br>
</div>
<blockquote type="cite"
cite="mid:EFD456A3-1DF6-4C5D-8ACA-FB02A67F04FA@gmail.com">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
Hello David, John and all,
<div class=""><br class="">
<div class=""> I’ve uploaded the internally superluminal
electron model’s equations to <a
href="https://www.academia.edu/36949016/Is_the_electron_a_superluminal_half-photon_with_toroidal_topology"
class="" moz-do-not-send="true">https://www.academia.edu/36949016/Is_the_electron_a_superluminal_half-photon_with_toroidal_topology</a> for
your future reference. I think the title is kind of “catchy”,
while acknowledging two pioneers in the field. The
double-helix photon model is at <a
href="https://www.academia.edu/36771264/Entangled_Double-Helix_Superluminal_Photon_Model_Defined_by_Fine_Structure_Constant_Has_Inertial_Mass_M_E_c_2"
class="" moz-do-not-send="true">https://www.academia.edu/36771264/Entangled_Double-Helix_Superluminal_Photon_Model_Defined_by_Fine_Structure_Constant_Has_Inertial_Mass_M_E_c_2</a> .
I think of the double-helix photon model and the electron
model as a kind of package of models which I hope will be
self-consistent, presumably like John’s models of the electron
and the photon in his new paper.</div>
<div class=""><br class="">
</div>
<div class=""> Dirac insisted in his Nobel Prize lecture that
electrons really travel at c (the eigenvalues for electron
velocity come out +c and -c from the Dirac equation) but
apparently travel at less than c due to their small amplitude
and high frequency of internal vibration (at the
zitterbewegung frequency f=2mc^2/h). But I wonder if anyone
really believed him. Though the double-helix photon model is
internally superluminal, it travels longitudinally at c, and
its calculated inertial mass E/c^2 also travels forward at c.
No problems with faster-than-light here. The photon model's
invariant mass is zero, like the actual photon’s invariant
mass.) The electron model, though internally superluminal,
travels forward (longitudinally) always with an average
velocity less than c.</div>
<div class=""><br class="">
</div>
<div class=""> So the superluminality of an energy quantum
composing a particle may not be such a problem as some make it
out to be. I don’t know that Einstein ever put any
“restrictions” on theoretical internal velocities within a
moving particle, whether a photon or a particle with mass. The
unwillingness of Lorentz and other physicists to explain an
electron’s spin and magnetic moment by internal
faster-than-light motion because of Einstein’s restriction,
caused leading physicists to finally say that an electron is
point like and its spin is “intrinsic”, ie unexplainable.</div>
<div class=""><br class="">
</div>
<div class=""> Richard</div>
<div class=""><br class="">
</div>
<div class="">
<div>
<blockquote type="cite" class="">
<div class="">On Jun 29, 2018, at 5:35 AM, <a
href="mailto:richgauthier@gmail.com" class=""
moz-do-not-send="true">richgauthier@gmail.com</a>
wrote:</div>
<br class="Apple-interchange-newline">
<div class="">
<meta http-equiv="Content-Type" content="text/html;
charset=utf-8" class="">
<div style="word-wrap: break-word; -webkit-nbsp-mode:
space; line-break: after-white-space;" class="">
<div style="font-size: 14px;" class="">Hello all,</div>
<div style="font-size: 14px;" class=""> Here are the
equations for the superluminal half-photon electron
model. I am using the program Graphing Calculator at
<a href="https://www.pacifict.com/" class=""
moz-do-not-send="true">https://www.pacifict.com</a> to
graph them.</div>
<div style="font-size: 14px;" class="">Clearly the
equations themselves are not copyrighted. Oreste,
what do you think?</div>
<div style="font-size: 14px;" class="">
Richard</div>
<div class=""><br class="">
</div>
<span
id="cid:14877496-F667-44F0-9FF5-59F39CBCF99D@attlocal.net"><PastedGraphic-3.tiff></span><br
class="">
<div class=""><br class="">
<blockquote type="cite" class="">
<div class="">On Jun 27, 2018, at 11:08 PM, John
Williamson <<a
href="mailto:John.Williamson@glasgow.ac.uk"
class="" moz-do-not-send="true">John.Williamson@glasgow.ac.uk</a>>
wrote:</div>
<br class="Apple-interchange-newline">
<div class="">
<div style="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; direction:
ltr; font-family: Tahoma; font-size: 10pt;"
class="">
<div style="direction: ltr; font-family:
Tahoma; font-size: 10pt;" class="">Here you
go David, a few answers ...<br class="">
<hr tabindex="-1" class="">
<div id="divRpF752793" style="direction:
ltr;" class=""><font class="" size="2"
face="Tahoma"><b class="">From:</b><span
class="Apple-converted-space"> </span>General
[<a
href="mailto:general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org"
class="" moz-do-not-send="true">general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org</a>]
on behalf of<span
class="Apple-converted-space"> </span><a
href="mailto:davidmathes8@yahoo.com"
class="" moz-do-not-send="true">davidmathes8@yahoo.com</a><span
class="Apple-converted-space"> </span>[<a
href="mailto:davidmathes8@yahoo.com"
class="" moz-do-not-send="true">davidmathes8@yahoo.com</a>]<br
class="">
<b class="">Sent:</b><span
class="Apple-converted-space"> </span>Thursday,
June 28, 2018 3:19 AM<br class="">
<b class="">To:</b><span
class="Apple-converted-space"> </span>Nature
of Light and Particles - General
Discussion<br class="">
<b class="">Cc:</b><span
class="Apple-converted-space"> </span>Oreste
Caroppo; martin Mark van der<br class="">
<b class="">Subject:</b><span
class="Apple-converted-space"> </span>Re:
[General] Superluminal electron model<br
class="">
</font><br class="">
</div>
<div class="">Richard,</div>
<div class=""><br class="">
</div>
<div class="">A few questions...</div>
<div class=""><br class="">
</div>
<div class="">0. How many electron models
are there now? Is there a diagram or
mapping showing how all the zitterbewegung
models are related?</div>
<div class=""><br class="">
</div>
<div class="">Mu: Lots!<br class="">
</div>
<div class=""><br class="">
</div>
<div class="">1. Within your model, does the
new electron embody the Majorna
characteristic that the particle is it's
own antiparticle, in particular, does it
explain how both matter and antimatter are
within it? <span
class="Apple-converted-space"> </span><br
class="">
</div>
<div class=""><br class="">
</div>
<div class="">No - the electron is not, and
has never been, its own antiparticle. That
is the positron.<br class="">
</div>
<div class=""><br class="">
</div>
<div class="">2. Can the new electron be
described using the mathematical formalism
of Dirac, Majorna and Weyl?</div>
<div class=""><br class="">
</div>
<div class="">No, Dirac is strictly (and
famously) lightspeed. Hence the
"zitterbewegung" at all.<br class="">
</div>
<div class=""><br class="">
</div>
<div class="">3. What is the mechanism for
creating a local FTL environment to permit
FTL photons or quanta?</div>
<div class=""><span class="">
<div class="">Superluminal wave
velocities within the electron "shell"
are possible using the definition of </div>
<div class="">c = SQRT(permittivity *
permittivity) by simply decreasing
either permittivity or
permeability...or both.</div>
<div class=""><br class="">
</div>
<div class="">NRI papers have been
fashionable, but I do not think
Richard uses them<br class="">
</div>
<div class=""><br class="">
</div>
</span></div>
<div class="">4. How does this new electron
model - or any other electron model for
that matter - sustain a shell barrier?</div>
<div class=""><br class="">
</div>
<div class="">Why would it need to? If one
proposes a shell that is simply another
thing one has to explain. Electrons are
necessarily "boxless" or how would they
inter-act?<br class="">
</div>
<div class=""> </div>
<div class="">5. Are the superluminal
versions of other electron models? That
is, how widespread is this conjecture?</div>
<div class=""><br class="">
</div>
<div class="">Yes - Superluminal charge
though, is, I think this is the major
weakness of Richards model, as it messes
up mass in relativity. Not good!<br
class="">
</div>
<div class=""><br class="">
</div>
<div class="">6. Does the new electron model
explain charge? That is, is charge
considered invariant within the "shell"?</div>
<div class=""><br class="">
</div>
<div class="">Charge invariance is
inconsistent with FTL - as outlined above.<br
class="">
</div>
<div class=""><br class="">
</div>
<div class="">7. </div>
<div class=""><br class="">
</div>
<span class="">
<div class="">IMHO, this new electron
model looks like a Majorna particle. In
fact, there seems to be a mapping
between Dirac, Majorna and Weyl (DMW)
particles to the ring toroid, horn
toroid and the spindle toroid. One could
take this one step further which would
link the math of DMW to the geometry of
circulating photons or quanta with
variations including subliminal models
and superluminal models. And there are
various electron models, notably
Williamson/van der Mark, that address
charge.</div>
<div class=""><br class="">
</div>
<div class="">8. Does this model address
stochastic electrodynamics where <span
style="color: rgb(34, 34, 34);
font-family: sans-serif; font-size:
14px;" class="">Zitterbewegung is
explained as an interaction of a
classical particle? Does this model
fit within </span><a
href="https://mitpress.mit.edu/books/collective-electrodynamics"
rel="nofollow"
class="enhancr_card_0221840877"
target="_blank" moz-do-not-send="true">Collective
Electrodynamics</a> (Carver Meade)</div>
<div class=""><br class="">
</div>
<div class="">No .. Carver Meade uses
lightspeed. Also he starts from Plank's
constant as a given, an uses this as the
starting basis (excellent!) for much of
the rest of his thesis.<br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
</span><span class="">
<div class="">9. Does the new electron
model - a zbw model - have sufficient
linkage to the confirmed conjectures of
Dirac, Majorna and Weyl fermions?</div>
<div class=""><br class="">
</div>
<div class="">Regards, John.<br class="">
</div>
<br class="">
</span></div>
<div style="direction: ltr; font-family:
Tahoma; font-size: 10pt;" class=""><span
class=""></span><span class=""></span>
<div style="font-family: "Times New
Roman"; font-size: 16px;" class="">
<div class="">
<div style="font-family: "Helvetica
Neue", Helvetica, Arial,
sans-serif; font-size: 16px;" class="">
<div style="font-family:
"Helvetica Neue",
Helvetica, Arial, sans-serif;
font-size: 16px;" class="">
<div class=""><span class="">
<div class="">While I like the
geometric approach based on
experimental evidence, linking
the matrix math of Dirac,
Majorna and Weyl particles to
zitterbewegung models is
essential to wider
acceptance. </div>
<div class=""><br class="">
</div>
<div class="">Notes:</div>
<div class="">Most of the time,
we use Dirac electrons which
up until 2015 were the only
confirmed prediction. The Weyl
fermion was predicted in 1929
and confirmed in 2015. The
Majorna fermion was predicted
1937 and confirmed in 2017.</div>
<div class=""><br class="">
</div>
<div class="">Notably,
zitterbewegung was predicted
by Schroedinger in 1930 and
confirmed using BEC in 2013.</div>
<div class=""><br class="">
</div>
</span></div>
<div class="">ref:</div>
<div class=""><br class="">
</div>
<div class=""><a
href="https://arxiv.org/abs/1006.1718"
rel="nofollow"
class="enhancr_card_0779676588"
target="_blank"
moz-do-not-send="true">[1006.1718]
Dirac, Majorana and Weyl
fermions</a><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><a
href="https://www.nature.com/articles/525293e"
rel="noopener noreferrer"
target="_blank" class=""
moz-do-not-send="true">Condensed-matter
physics: Weyl particles
discovered (2015)</a><br
class="">
</div>
<div class=""><br class="">
</div>
<div class=""><a
href="https://news.stanford.edu/2017/07/20/evidence-particle-antiparticle/"
rel="nofollow"
class="enhancr_card_1025704008"
target="_blank"
moz-do-not-send="true">Evidence
for a particle that is its own
antiparticle (2017)| Stanford
News</a> <br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><a
href="https://www.sciencealert.com/this-new-proof-of-majorana-fermions-is-going-to-be-massive-for-quantum-devices"
rel="nofollow"
class="enhancr_card_0888238275"
target="_blank"
moz-do-not-send="true">This New
Proof of Majorana Fermions Is
Going to Be Massive For Quantum
Devices</a><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
</div>
<div
id="ydp70006240yahoo_quoted_0448083737"
class="ydp70006240yahoo_quoted">
<div style="font-family:
"Helvetica Neue",
Helvetica, Arial, sans-serif;
font-size: 13px; color: rgb(38,
40, 42);" class="">
<div class="">On Wednesday, June
27, 2018, 5:50:16 PM PDT,<span
class="Apple-converted-space"> </span><a
href="mailto:richgauthier@gmail.com" class="" moz-do-not-send="true">richgauthier@gmail.com</a><span
class="Apple-converted-space"> </span><<a
href="mailto:richgauthier@gmail.com" class="" moz-do-not-send="true">richgauthier@gmail.com</a>>
wrote:</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
<div class="">
<div
id="ydp70006240yiv1559197444"
class="">
<div
class="ydp70006240yiv1559197444">Hello
all,</div>
<div
class="ydp70006240yiv1559197444">
I thought some of you might
like to see a new electron
model, composed of a
superluminal spin-1/2
charged half-photon. </div>
<div
class="ydp70006240yiv1559197444"><br
class="">
</div>
<div
class="ydp70006240yiv1559197444">In
the stationary electron
model the superluminal
energy quantum moves along
the surface of a horn torus,
with an internal frequency
equal to the zitterbewegung
frequency f=2mc^2/h. The
relativistic electron model
contracts with increasing
gamma. The electron model’s
closed helix's radius is
R=hbar/2mc as in several
electron models.</div>
<div
class="ydp70006240yiv1559197444"><br
class="">
</div>
<div
class="ydp70006240yiv1559197444"> I’ve
started writing a short
paper about the (new
electron) model. The working
title: “Is the electron a
superluminal half-photon
with toroidal topology?” The
electron model is formed
from one wavelength of the
helical trajectory of one of
the two half-photons
composing a double-helix
photon energetically capable
of producing an
electron-positron pair in
e-p pair production, i.e.
with photon energy E=2mc^2
and photon frequency equal
to the electron’s
zitterbewegung frequency
f=2mc^2/h. The helical
radius of this half-photon
is R = Lcompton/4pi =
hbar/2mc. The circulating
superrluminal particle is
actually a point-like
particle. The resting
electron model's energy Eo
will be one-half of the
originating photon’s minimum
energy of 2mc^2, and
therefore Eo=mc^2.</div>
<div
class="ydp70006240yiv1559197444">
Comments or questions?</div>
<div
class="ydp70006240yiv1559197444">
Richard </div>
<div
class="ydp70006240yiv1559197444"><br
class="ydp70006240yiv1559197444">
</div>
<div
class="ydp70006240yiv1559197444"><br
class="ydp70006240yiv1559197444">
</div>
</div>
_______________________________________________<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><a
href="mailto:davidmathes8@yahoo.com" rel="nofollow" target="_blank"
class=""
moz-do-not-send="true">davidmathes8@yahoo.com</a><br
class="">
<a href="<a
href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/davidmathes8%40yahoo.com?unsub=1&unsubconfirm=1"
rel="nofollow" target="_blank"
class=""
moz-do-not-send="true">http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/davidmathes8%40yahoo.com?unsub=1&unsubconfirm=1</a>"><br
class="">
Click here to unsubscribe<br
class="">
</a><br class="">
</div>
</div>
</div>
</div>
</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="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="" moz-do-not-send="true">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="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="" moz-do-not-send="true">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><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="">
</div>
</blockquote>
</div>
<br class="">
</div>
</div>
</blockquote>
</div>
<br class="">
</div>
</div>
<!--'"--><br>
<fieldset class="mimeAttachmentHeader"></fieldset>
<br>
<pre wrap="">_______________________________________________
If you no longer wish to receive communication from the Nature of Light and Particles General Discussion List at <a class="moz-txt-link-abbreviated" href="mailto:phys@a-giese.de">phys@a-giese.de</a>
<a href=<a class="moz-txt-link-rfc2396E" href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/phys%40a-giese.de?unsub=1&unsubconfirm=1">"http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/phys%40a-giese.de?unsub=1&unsubconfirm=1"</a>>
Click here to unsubscribe
</a>
</pre>
</blockquote>
<br>
<div id="DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2"><br /> <table style="border-top: 1px solid #D3D4DE;">
<tr>
<td style="width: 55px; padding-top: 18px;"><a href="https://www.avast.com/sig-email?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=emailclient" target="_blank"><img src="https://ipmcdn.avast.com/images/icons/icon-envelope-tick-round-orange-animated-no-repeat-v1.gif" alt="" width="46" height="29" style="width: 46px; height: 29px;" /></a></td>
<td style="width: 470px; padding-top: 17px; color: #41424e; font-size: 13px; font-family: Arial, Helvetica, sans-serif; line-height: 18px;">Virenfrei. <a href="https://www.avast.com/sig-email?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=emailclient" target="_blank" style="color: #4453ea;">www.avast.com</a> </td>
</tr>
</table>
<a href="#DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2" width="1" height="1"> </a></div></body>
</html>