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<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
style='font-size:12.0pt;color:navy'>Dear Pedro,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>Your note contains three
distinct points, of which the second seems most significant:<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>1. I need to understand better
your underlined sentence. I learned, I think, that real events, processes, <i><span
style='font-style:italic'>etc.</span></i> <b><span style='font-weight:bold'>follow</span></b>
laws. However, laws are abstract epistemic entities invented to describe the
observed regularities in nature. Their only reality is the energy required to
think about them, not that they possess. The expression “how laws of nature occupy
space-time and interact…” is inoperative. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>2. The term ‘information’ on the
other hand refers to the behavior or evolution of the energetic processes of
thought as well as other real, ontological phenomena. Wu Kun’s metaphilosophy
of information is a highly developed ‘informational vision’ which includes,
without conflation, an informational-scientific or ‘physicalist’ vision. An
example of this approach is Wu’s identification of the ‘informosome’, the
integral, imaginable if not isolatable, of all the experiences of an
individual, past, present and probable, the latter as potentialities.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>3. Jerry has correctly stated
the informational aspects of the H<sub>2 </sub>+O<sub> 2 </sub>=<sub> </sub>2H<sub>2</sub>O
reaction, but what do you mean by saying its activation energy barrier is “terribly
low”? If one mixes hydrogen and oxygen, nothing happens. A source of energy is
needed, a spark, or a catalytic surface for the activation energy barrier to be
overcome. Obviously, you meant molecules not atoms; two reactant molecules
yield two product molecules, with the same total number of atoms. Put enough energy
into water, say by electrolysis, and the reaction goes in the opposite
direction. I thus agree with you that the system is completely classical, but
it is not necessary to invoke a bath of ‘thermalizing photons’.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>Perhaps a restatement of the
Landauer Conundrum would be useful.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>Best wishes,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
lang=EN-GB style='font-size:12.0pt;color:navy'>Joseph<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div>
<div class=MsoNormal align=center style='text-align:center'><font size=3
color=black face="Times New Roman"><span lang=EN-US style='font-size:12.0pt;
color:windowtext'>
<hr size=3 width="100%" align=center tabindex=-1>
</span></font></div>
<p class=MsoNormal><b><font size=2 color=black face=Tahoma><span lang=EN-US
style='font-size:10.0pt;font-family:Tahoma;color:windowtext;font-weight:bold'>From:</span></font></b><font
size=2 color=black face=Tahoma><span lang=EN-US style='font-size:10.0pt;
font-family:Tahoma;color:windowtext'> Fis [mailto:fis-bounces@listas.unizar.es]
<b><span style='font-weight:bold'>On Behalf Of </span></b>Pedro C. Marijuan<br>
<b><span style='font-weight:bold'>Sent:</span></b> lundi, 11 mars 2019 14:21<br>
<b><span style='font-weight:bold'>To:</span></b> Jerry LR Chandler; 'fis'<br>
<b><span style='font-weight:bold'>Subject:</span></b> Re: [Fis] A Landauer
Conundrum, was Re: The Limits</span></font><font color=black><span lang=EN-US
style='color:windowtext'><o:p></o:p></span></font></p>
</div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>Dear Jerry and FIS Colleagues,<br>
<br>
Thanks for the thoughtful comments and the Landauer's abstract. Apart of those
three principles already mentioned (that Stan expanded some days ago) perhaps
we could reinterpret in that light (agent's inaccessibility) many of the
quantum conundrums: two slits experiments, decoherence of the wave function,
measurement and instantaneous collapse of the wave function, entanglement of
coherent/decoherent processes ("spooky action at a distance"), and so
on. Even the Second Law of thermodynamics could be reinterpreted from the
agent's impossibilities point of view ("thou cannot process the same piece
of information twice"). My contention is that our present approaches to
information are still rudimentary and do not allow an informational cosmovision
to complement (and not to try to supplant) the physicalist cosmovision. It
won't happen if we do not previously solve the biggest conundrum in my view, <u>How
"immaterial" laws of nature can occupy space-time at every corner or
granularity and interact with "material" elements (particles, forces,
fields), given that they lack even the slightly trace of physicality?</u> In
other words: Where are the Laws? How can they "act"? Maybe this
response could be framed only in informational terms (????).<br>
<br>
About Landauer, my interpretation is that as long as the (quantum) computation
is kept in a coherent state, I mean, without measuring or observing or deleting
its processes, it will be reversible at zero cost. This is quantum
reversibility. If I am not wrong this paper was one of the founding works of
quantum computing. Does it relate to the chemical reaction you describe
below? Good question.<br>
<br>
That reaction, I think, is completely a "classical" phenomenon (well,
except maybe the activation barrier energy, terribly low in this case) . All
the participant atoms are in a bath of thermalizing photons that do not allow
any maintenance of coherence or any emergence of quantum spooky effects. You
speak about creation of information, yes, but at the same time there is
disappearance of information. Three atoms enter, that are "deleted"
along the reaction, and two new ones appear, that are "created". So,
in terms of entropy there is a net decrease, but it is overcompensated by the
enormous Q generated due to the differences in internal energies or enthalpies.
The enormous value of heat formation you point out. I think Gibbs free energy
is very clear about that.<br>
<br>
I will appreciate if you or other FIS parties try to bite the bullet above
about the laws of nature...<br>
<br>
Best wishes--Pedro<br>
<br>
El 05/03/2019 a las 22:58, Jerry LR Chandler escribió:<o:p></o:p></span></font></p>
</div>
<blockquote style='margin-top:5.0pt;margin-bottom:5.0pt' type=cite
cite="mid:B81F8D69-3A19-4C40-AABC-44F71F9B82DE@icloud.com">
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>Pedro, List: <o:p></o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>The original post on limits was truly novel to me. Have
you references to other sorts of binding / blinding limits to scientific
theories?<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>One sort-of counter-example came to mind. It is
a component of the tensions between physical and chemical logics.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>It is based on foundational physical principles that
could possibly be associated with the foundational physical conceptualization
of information. Or mis-conceptualization? The starting point for the
conundrum is Landauer’s famous abstract.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<div>
<div style='margin-bottom:5.45pt' id="fragmentNav_0">
<p class=MsoNormal><b><font size=2 color=black face=Arial><span
style='font-size:11.0pt;font-family:Arial;text-transform:uppercase;font-weight:
bold'>ABSTRACT (by Landauer)<o:p></o:p></span></font></b></p>
</div>
</div>
<div style='margin-bottom:7.1pt'>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:11.0pt'>Thermodynamics arose in the 19th century out of the
attempt to understand the performance limits of steam engines in a way that
would anticipate all further inventions. Claude Shannon, after World War II,
analyzed the limits of the communications channel. It is no surprise, then,
that shortly after the emergence of modern digital computing, similar questions
appeared in that field. It was not hard to associate a <named-content xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:oasis="http://www.niso.org/standards/z39-96/ns/oasis-exchange/table" content-type="sem:AIPTh1.2" rid="kwd1.1" class="">logic
gate</named-content> with a degree of freedom, then to associate <i><span
style='font-style:italic'>kT</span></i> with that, and presume that this
energy has to be dissipated at every step. Similarly, it seemed obvious to many
that the <named-content xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:oasis="http://www.niso.org/standards/z39-96/ns/oasis-exchange/table" content-type="sem:AIPTh1.2" rid="kwd1.2" class="">uncertainty
principle,</named-content> </span></font><span class=mi><span tabindex=0
data-mathml="<math
xmlns="http://www.w3.org/1998/Math/MathML"
overflow="scroll"
altimg="eq-00001.gif"><mi>ΔEΔt∼ℏ,</mi></math>"
role=presentation style='word-wrap: normal;max-width: none;max-height: none;
min-width: 0px;min-height: 0px;float:none;word-spacing:normal'
id=MathJax-Element-1-Frame><font size=3 face=STIXGeneral-Regular><span
style='font-size:11.5pt;font-family:STIXGeneral-Regular;border:none windowtext 1.0pt;
padding:0cm'><nobr aria-hidden=true style='transition: none;-webkit-transition: none;
max-width:
5000em;max-height: 5000em;min-width: 0px;
min-height:
0px;border-bottom-width:0px;border-left-width:
0px;border-right-width:0px;border-top-width:0px;line-height:normal;margin-bottom:
0px;margin-left:0px;margin-right:0px;margin-top:0px;padding-bottom:0px;
padding-left:0px;padding-right:0px;padding-top:0px;vertical-align:0px' class=""><span
overflow=scroll style='transition: none;-webkit-transition: none;display:inline-block'
id=MathJax-Span-1><span style='transition: none;-webkit-transition: none;
display:inline-block'><span style='transition: none;-webkit-transition: none;
clip:-999.998em)'><span style='transition: none;-webkit-transition:
none'
id=MathJax-Span-2><span style='transition: none;-webkit-transition: none'
id=MathJax-Span-3>ΔEΔt</span></font></span><span class=mi><font size=3
face="MS Gothic"><span style='font-size:11.5pt;font-family:"MS Gothic";
border:none windowtext 1.0pt;padding:0cm'>∼</span></font></span><span class=mi><font
size=3><span style='font-size:11.5pt;border:none windowtext 1.0pt;padding:0cm'>ℏ</span></font></span><span
class=mi><font size=3 face=STIXGeneral-Regular><span style='font-size:11.5pt;
font-family:STIXGeneral-Regular;border:none windowtext 1.0pt;padding:0cm'>,</span></span></font></span></span><span
style='transition: none;-webkit-transition:
none;
display:inline-block'><span class=mjxassistivemathml></span><font size=2><span
style='font-size:11.0pt;border:none windowtext 1.0pt;padding:0cm'></span></span></span></nobr><span
role=presentation style='clip:1px);-webkit-user-select: none;transition:
none;
-webkit-transition: none;overflow:hidden'><math xmlns="http://www.w3.org/1998/Math/MathML" overflow="scroll" altimg="eq-00001.gif"><mi>ΔEΔt</span></font></span><span
class=mjxassistivemathml><font size=2 face="MS Gothic"><span style='font-size:
11.0pt;font-family:"MS Gothic";border:none windowtext 1.0pt;padding:0cm'>∼</span></font></span><span
class=mjxassistivemathml><font size=2><span style='font-size:11.0pt;border:
none windowtext 1.0pt;padding:0cm'>ℏ,</mi></math></span></span></font></span></span><font
size=2><span style='font-size:11.0pt'> could be used to calculate a
required minimal energy involvement, and therefore <named-content xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:oasis="http://www.niso.org/standards/z39-96/ns/oasis-exchange/table" content-type="sem:AIPTh1.2" rid="kwd1.3" class="">energy
loss,</named-content> for very short </span></font><span class=mi><span
tabindex=0 data-mathml="<math
xmlns="http://www.w3.org/1998/Math/MathML"
overflow="scroll"
altimg="eq-00002.gif"><mi>Δt.</mi></math>"
role=presentation style='word-wrap: normal;max-width: none;max-height: none;
min-width: 0px;min-height: 0px;float:none;word-spacing:normal'
id=MathJax-Element-2-Frame><font size=3 face=STIXGeneral-Regular><span
style='font-size:11.5pt;font-family:STIXGeneral-Regular;border:none windowtext 1.0pt;
padding:0cm'><nobr aria-hidden=true style='transition: none;-webkit-transition: none;
max-width:
5000em;max-height: 5000em;min-width: 0px;
min-height:
0px;border-bottom-width:0px;border-left-width:
0px;border-right-width:0px;border-top-width:0px;line-height:normal;margin-bottom:
0px;margin-left:0px;margin-right:0px;margin-top:0px;padding-bottom:0px;
padding-left:0px;padding-right:0px;padding-top:0px;vertical-align:0px' class=""><span
overflow=scroll style='transition: none;-webkit-transition: none;display:inline-block'
id=MathJax-Span-4><span style='transition: none;-webkit-transition: none;
display:inline-block'><span style='transition: none;-webkit-transition: none;
clip:-999.998em)'><span style='transition: none;-webkit-transition:
none'
id=MathJax-Span-5><span style='transition: none;-webkit-transition: none'
id=MathJax-Span-6>Δt.</span></span></span></font><span style='transition: none;
-webkit-transition:
none;display:inline-block'></span><span
class=mjxassistivemathml></span><font size=2><span style='font-size:11.0pt;
border:none windowtext 1.0pt;padding:0cm'></span></span></span></nobr><span role=presentation
style='clip:1px);-webkit-user-select: none;transition:
none;
-webkit-transition: none;overflow:hidden'><math xmlns="http://www.w3.org/1998/Math/MathML" overflow="scroll" altimg="eq-00002.gif"><mi>Δt.</mi></math></span></span></font></span></span><font
size=2><span style='font-size:11.0pt'><o:p></o:p></span></font></p>
</div>
<div style='margin-bottom:7.1pt'>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:11.0pt'>There are no unavoidable energy consumption
requirements per step in a computer. Related analysis has provided insights
into the measurement process and the communication schannel, and has prompted
speculations about the nature of physical laws.<o:p></o:p></span></font></p>
</div>
</div>
<div>
<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Chemical example:<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Consider the reaction 2 H2 + O2 ——> 2 H2O.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>During this reaction, vast amounts of new information
is created as all of particles are in new quantum states and generate quanta
spectra that are different from the precursors.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Yet, the reaction releases energy. A huge of
energy! (Think Hindenburg!)<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'> (gas)<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>A web sources gives the value of the heat of formation
of water(gas) from its elements as - 241.8 kJ/mole.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Does this example of an actual physical measurement of
a process that CREATES new information confirm or deny the Landauer hypothesis?<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>How is either a confirmed or denial related to
Landauer's or any other physical argument?<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Have fun with this conundrum!<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Cheers<o:p></o:p></span></font></p>
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<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
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<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'>Jerry<o:p></o:p></span></font></p>
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<p class=MsoNormal><font size=2 color=black face="Times New Roman"><span
style='font-size:9.5pt'><o:p> </o:p></span></font></p>
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style='font-size:9.5pt'><o:p> </o:p></span></font></p>
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style='font-size:12.0pt'><o:p> </o:p></span></font></p>
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<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>On Mar 1, 2019, at 7:23 AM, Pedro C. Marijuan <<a
href="mailto:pcmarijuan.iacs@aragon.es" moz-do-not-send=true>pcmarijuan.iacs@aragon.es</a>>
wrote:<o:p></o:p></span></font></p>
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style='font-size:12.0pt'><o:p> </o:p></span></font></p>
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<p class=MsoNormal style='margin-bottom:12.0pt'><font size=3 color=black
face="Times New Roman"><span style='font-size:12.0pt'>Dear All,<br>
<br>
Thanks to Jerry, Stan, and Bruno for their responses.<br>
There is a recent publication on "Agent Inaccessibility as a Fundamental
Principle in Quantum Mechanics" by Jan Waleczek (Entropy, 2019, 21/1),
pointed out by courtesy of Malcolm Dean, that captures very well the deep sense
of this discussion. The subtitle is: "Objective Unpredictability ad Formal
Uncomputability." It is open access. Rather than the triumph of
indeterminism with the quantum revolution, the paper states that it is only
valid to claim the following: <i><span style='font-style:italic'>the quantum
revolution means the profound discovery of an agent-inaccesible regime of the
physical universe. </span></i><br>
And if we think about all the problems and paradoxes surrounding research on
consciousness, Do they relate to this very inaccessibility? Many parties have
tried to connect consciousness "explanation" with the quantum. Rather
unsuccessfully, at least at the time being. But the point I see is, Could the
Limit of quantum inaccessibility to the external world of the agent be germane,
or even the same Limit, than the inaccessibility to its own internal
world? <br>
In my view, this does not imply a negationist stance concerning the integrity
of the whole scientific enterprise or information science in particular.
Precisely, the universalistic, open-ended nature of our human openness to
information derives from consciousness, language, and the empirical congruence
perception/action in a collaborative social framework. Because of this
universal openness to information we can organize universalistic sciences
(physics, maths, logics/comp., info science) and many other particularistic
ones, depending on the further limits or principles we establish--as Jerry
remarks below. <br>
Should the universal openness to information, subtended by the inaccessibility
limit(s) of quantum and consciousness, be considered as a sort of Information
Zeroth Principle?<br>
<br>
Best wishes<br>
--Pedro<br>
PS. I have just seen entering the new message from Karl...<br>
<o:p></o:p></span></font></p>
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<p><font size=3 color=black face="Times New Roman"><span style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<pre cols=72><font size=2 color=black face="Courier New"><span
style='font-size:10.0pt'>-- <o:p></o:p></span></font></pre><pre><font size=2
color=black face="Courier New"><span style='font-size:10.0pt'>-------------------------------------------------<o:p></o:p></span></font></pre><pre><font
size=2 color=black face="Courier New"><span style='font-size:10.0pt'>Pedro C. Marijuán<o:p></o:p></span></font></pre><pre><font
size=2 color=black face="Courier New"><span style='font-size:10.0pt'>Grupo de Bioinformación / Bioinformation Group<o:p></o:p></span></font></pre><pre><font
size=2 color=black face="Courier New"><span style='font-size:10.0pt'><o:p> </o:p></span></font></pre><pre><font
size=2 color=black face="Courier New"><span style='font-size:10.0pt'><a
href="mailto:pcmarijuan.iacs@aragon.es">pcmarijuan.iacs@aragon.es</a><o:p></o:p></span></font></pre><pre><font
size=2 color=black face="Courier New"><span style='font-size:10.0pt'><a
href="http://sites.google.com/site/pedrocmarijuan/">http://sites.google.com/site/pedrocmarijuan/</a><o:p></o:p></span></font></pre><pre><font
size=2 color=black face="Courier New"><span style='font-size:10.0pt'>------------------------------------------------- <o:p></o:p></span></font></pre>
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