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<DIV class=3DSection1>
<H1><I><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt"=20
lang=3DEN-US>Invariance Laws and a Science of=20
Consciousness<o:p></o:p></SPAN></I></H1>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><o:p>&nbsp;</o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; =
</SPAN>How=20
can the study of consciousness achieve full status as a science?<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>Can the perceptual experience =
of Nagel=92s=20
famous bat ever be explained as a science? The question devolves upon =
our=20
conception of scientific explanation.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp; </SPAN>A strongly argued =
conception of=20
scientific explanation, the implications of which appear yet to register =
upon=20
the consciousness community, is this: scientific explanation rests upon=20
invariance laws.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN>It is =
the=20
discovery and explication of invariance that is central.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>The law for a stretched =
spring, F =3D -kX,=20
is a simple example.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN>In=20
relativistic physics, it is only invariants that are realities.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>This conception of science has =
been=20
explicated by Wigner for physics, Woodward for the biological sciences, =
Kugler=20
and Turvey for perception, among others. Gibson, with his gradients and =
velocity=20
flow fields - invariance related constructs which have become so =
critical in=20
current theories of form perception (Robbins, 2004a) - was a prime =
exponent. The=20
examples are ubiquitous and overwhelming.<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN>If we accept the proposition that the discovery and explication =
of=20
invariance laws is the central, definitive characteristic of a science, =
then=20
this question is critical:<SPAN style=3D"mso-spacerun: yes">&nbsp; =
</SPAN>can the=20
study of consciousness be brought into this invariance law =
framework?<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>Equivalently, can Nagel=92s =
question,=20
=93What is it like to a bat?=94 be incorporated within this =
framework?<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>If not, consciousness will =
never achieve=20
status as a field of science. <o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; =
</SPAN>What=20
might a theory look like that can achieve this? Perhaps it is not so far =
away as=20
some would believe.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN>I =
offer an=20
example of a possibility.<SPAN style=3D"mso-spacerun: yes">&nbsp; =
</SPAN>Gibson=92s=20
theory of =93direct perception=94 or =93direct specification=94<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>is founded utterly in the =
brain=92s=20
response to, or pick-up of, invariance laws in the matter-field.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>The invariants extracted are=20
intrinsically related to the action capabilities of the organism.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp; </SPAN>This basic approach can =
be=20
embedded within the larger framework developed by Bergson, wherein =
perception is=20
=93virtual action.=94<SPAN style=3D"mso-spacerun: yes">&nbsp; =
</SPAN>Bergson=92s model=20
contains these features (Robbins, 2002, 2004b):<o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><o:p>&nbsp;</o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
matter-field=20
is holographic<o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
time-motion=20
of this field is indivisible or non-differentiable (Nottale,=20
1996).<o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
field itself=20
carries a basic qualitative aspect at the null scale of time<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN><o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
dynamics of=20
the brain imposes a scale of time on this =
matter-field<o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
dynamical=20
pattern is a reflection of invariance laws extracted over the field=92s=20
motion<o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
dynamics=20
supports a reconstructive wave =93passing through=94 the holographic =
field and=20
specifying an external <I>image</I><o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.25in; MARGIN-LEFT: 66pt; tab-stops: list =
66.0pt; mso-list: l1 level1 lfo1"=20
class=3DMsoNormal><![if !supportLists]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US><SPAN =

style=3D"mso-list: Ignore">-<SPAN=20
style=3D"FONT: 7pt 'Times New =
Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN></SPAN><![endif]><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" lang=3DEN-US>The =
image=20
specified is a <I>past</I> form of the non-differentiable motion of the=20
matter-field.<o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN style=3D"mso-spacerun: =
yes">&nbsp;</SPAN><o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Such a model would ground at least conscious perception in the =
scientific=20
framework.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN>The conscious, =

perceptual image would now be specified as a function of =
<I>objective</I>=20
dynamical laws, ultimately a wave-dynamics.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>Color and form would not be =
=93subjective=20
modifications of experience,=94 rather visual experience is a function =
of physical=20
law.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN>To predict the form =
and=20
qualitative nature of visual experience for a given organism in such a=20
framework, whether human, frog or chipmunk, a science would need to =
specify, (1)=20
the action-capability of the organism, (2) the invariance laws to which =
the=20
system can respond, (3) the scale of time being imposed on the=20
field.<o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Admittedly, Nagel=92s bat, with its sonar, will be more difficult =
than the=20
frog, but the framework suggested can, I believe, provide at minimum a =
good=20
start on scientific answers on a range of organisms for Nagel=92s famous =
question,=20
and bring at least perceptual consciousness into the realm of =
science.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp; =
</SPAN><o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN><o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><o:p>&nbsp;</o:p></SPAN></P><I><SPAN=20
style=3D"FONT-FAMILY: 'Times New Roman'; FONT-SIZE: 11pt; =
mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 'Times New Roman'; =
mso-ansi-language: EN-US; mso-fareast-language: EN-US; =
mso-bidi-language: AR-SA"=20
lang=3DEN-US><BR style=3D"PAGE-BREAK-BEFORE: always" =
clear=3Dall></SPAN></I>
<P=20
style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; tab-stops: -.5in; =
mso-hyphenate: none"=20
class=3DMsoNormal><I><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US>References:<o:p></o:p></SPAN></I></P>
<P=20
style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; tab-stops: -.5in; =
mso-hyphenate: none"=20
class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><o:p>&nbsp;</o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; tab-stops: -.5in; =
mso-hyphenate: none"=20
class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US>Kugler, P. &amp; Turvey, M. (1987).<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN><I>Information, Natural Law, =
and the=20
Self-assembly of Rhythmic Movement</I>.<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN>Hillsdale, NJ: Erlbaum.<o:p></o:p></SPAN></P>
<P style=3D"TEXT-INDENT: -40.3pt; MARGIN-LEFT: 40.3pt" =
class=3DMsoNormal><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 12.0pt" =
lang=3DEN-US>Nottale, L.=20
(1996). Scale relativity and fractal space-time: applications to quantum =

physics, cosmology and chaotic systems.<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN><I style=3D"mso-bidi-font-style: normal">Chaos, Solitons and =
Fractals</I>,=20
<I style=3D"mso-bidi-font-style: normal">7</I>, 877-938. =
<o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; tab-stops: -.5in; =
mso-hyphenate: none"=20
class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
10.0pt"=20
lang=3DEN-US>Robbins, S. E. (2004a).<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN>On time, memory and dynamic form.<I=20
style=3D"mso-bidi-font-style: normal"><SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN>Consciousness and Cognition</I><SPAN=20
style=3D"mso-bidi-font-style: italic">, 13, 762-788.</SPAN><I=20
style=3D"mso-bidi-font-style: normal"><SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN><o:p></o:p></I></SPAN></P>
<P style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in" =
class=3DMsoNormal><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 10.0pt" =
lang=3DEN-US>Robbins, S. E.=20
(2004b).<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN>V<SPAN =
class=3DJob><SPAN=20
style=3D"FONT-STYLE: normal">irtual action: O'Regan </SPAN>&amp; =
</SPAN>No=EB meet=20
Bergson<I style=3D"mso-bidi-font-style: normal">.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN>Behavioral and Brain =
Sciences.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN><o:p></o:p></I></SPAN></P>
<P style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in" =
class=3DMsoNormal><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 10.0pt" =
lang=3DEN-US>Robbins, S. E.=20
(2002).</SPAN><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US> </SPAN><SPAN class=3DJob><SPAN=20
style=3D"FONT-STYLE: normal; FONT-SIZE: 11pt; mso-bidi-font-size: =
10.0pt"=20
lang=3DEN-US>Semantics, experience and time.</SPAN></SPAN><SPAN =
class=3DJob><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 10.0pt" lang=3DEN-US><SPAN =

style=3D"mso-spacerun: yes">&nbsp; </SPAN>Cognitive Systems Research,=20
</SPAN></SPAN><SPAN class=3DJob><SPAN=20
style=3D"FONT-STYLE: normal; FONT-SIZE: 11pt; mso-bidi-font-size: =
10.0pt"=20
lang=3DEN-US>3(3), 301-337.<SPAN style=3D"mso-spacerun: yes">&nbsp;=20
</SPAN></SPAN></SPAN><I style=3D"mso-bidi-font-style: normal"><SPAN=20
style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: 10.0pt"=20
lang=3DEN-US><o:p></o:p></SPAN></I></P>
<P=20
style=3D"TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; tab-stops: -.5in; =
mso-hyphenate: none"=20
class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US>Wigner, E. P. (1970).<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN><I>Symmetries and Reflections</I>.<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN>Cambridge, MA: MIT Press.<o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-ALIGN: justify; TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; =
tab-stops: -.5in; mso-hyphenate: none"=20
class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US>Woodward, J. (2000). Explanation and invariance in the =
special=20
sciences.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN><I>British =
Journal for=20
the Philosophy of Science</I>, 51, 197-214.<SPAN=20
style=3D"mso-spacerun: yes">&nbsp; </SPAN><o:p></o:p></SPAN></P>
<P=20
style=3D"TEXT-ALIGN: justify; TEXT-INDENT: -0.5in; MARGIN-LEFT: 0.5in; =
tab-stops: -.5in; mso-hyphenate: none"=20
class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US>Woodward, J. (2001).<SPAN style=3D"mso-spacerun: =
yes">&nbsp; </SPAN>Law=20
and explanation in biology: Invariance is the kind of stability that=20
matters.<SPAN style=3D"mso-spacerun: yes">&nbsp; </SPAN><I>Philosophy of =

Science</I>, 68, 1-20.<o:p></o:p></SPAN></P>
<P class=3DMsoNormal><SPAN style=3D"FONT-SIZE: 11pt; mso-bidi-font-size: =
12.0pt"=20
lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN><o:p></o:p></SPAN></P></DIV></BODY></HTML>
