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No. 1
Latest Chairman's Report
CASYS'07
Abstracts'07
AAAI Spring07
Trondheim 06
CASYS'05
Abstracts'05
New Era Study
Debate on Nilpotence
& ANPA 04 Meeting Report
State of the Art Report 2000
The Status of the Mission
Quantum Computing
Quantum Neural Information Processing
Nature, Cognition and Quantum Physics
Reference Illustrations
Nilpotent Universal Rewrite System
Nilpotent Dirac Equation
Nilpotent 3D Heisenberg Lie Group
Quantum Holography
Quantum Carnot Engine
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Chairman's Report on ANPA 2004
Introduction
Evidence from ANPA 2004 is cited, in further support of the hypothesis
'Nilpotence - the key to the quantum Carnot engine evolution
from Nothing, of the Universe, Life & Everything'; presented
& published at the BCSCMsG International Symposium at CASYS 2003
(already the subject of an earlier chairman's report). The hypothesis
took the form of two papers:-
a) Zenergy (the Universe as a Quantum thermodynamic Carnot
Engine (QCE)) and
b) the key discovery, by Rowlands & Diaz (R&D), to understanding
universal quantum information processing, of its nilpotent
computational rewrite system (ncrs) so to define its grammar/semantics;
so that it can be inferred that QCE1 & ncrs are corresponding
equivalent physical and mathematical descriptions concerning respectively
entropy as an information metric. In particular these showed (together
with other evidence) that the mathematical condition nilpotence
leads to the derivation/description:-
c) of quantum physics in the form of the nilpotent
generalization of Dirac famous equation as discovered by Rowlands
& Cullerne (R&C)2 (which resolves the dichotomy
between Einstein's General Relativity and Quantum Mechanics!) and
d) of quantum holographic information processing based on the 3D
Heisenberg nilpotent Lie group as discovered by
Schempp3 (a QCE process which ensures such information
processing is canonically labeled so as to constitute computation;
an example of which is the worldwide medical use of magnetic resonance
imaging.), (c)&(d) specify the required division of the nilpotent quantum
state space into its Clifford fermionic & the Lie bosonic parts,
where the nilpotent initial state i.e. the origin of the Universe,
its quantum preparation:-
e) is the empty set of both of 3+1 space time and Standard Model
elementary particle matter, from which both consequently emerge
as the result of symmetry breaking (as shown by R&C (c)),
f) has an endless evolution since the result of each irreversible
QCE cycle as quantum measurement is the quantum preparation for
the next (a), and
g) possesses the spatial & temporal quantum coherence necessary
for quantum holographic full wave front reconstruction, in this
case (d), its own, in confirmation of R&C's explanation2
as to why the Universe has the dimensions of 3+1 space-time, in
addition to a proper time consequent upon its irreversible QCE thermodynamic
evolution.
This new ANPA 2004 evidence in further confirmation of the postulate,
is as follows:- h) It is noted that R&D's mathematical derivation
(b) satisfies J.A. Wheeler's prescient hypotheses of "the Meaning
Circuit" and of "(the derivation of) Physical law without Law"4,5
That is to say, it predicts that "Wheeler's 'Law without Law' "
takes the form (c) in relation to the nilpotent quantum cosmology
of the Universe as Quantum Carnot Engine, where (a) its Zenergy,
the quantum coherent phaseonium1 of dark energy "fuels" its physical
structure, so as to ensure :-
i) that this structure includes not only that of 3+1 space-time
and "standard model" elementary particle matter (R&C), but potentially
that too of living systems as QCEs, based on the novel understanding
of DNA/RNA as a nilpotent molecular chemical computational rewrite
system. In this rewrite understanding, RNA serves the quantum computational
rewrite system function of introducing a new chemical structure
or a hierarchical chemistry, whenever the RNA base pairing A = U
replaces that in DNA of A = T , such that U symbolizes a new entire
alphabet, sub-alphabet, or simply a single character of that new
family of chemical structures or chemistry. This provides a further
confirmation of the already published research in the BCSCMsG CASYS
archive, that DNA is a quantum 'programming' language with a universal
grammar defining its meaning, akin to contextual human natural languages6.
Thus the human 'sequential' faculties of speech, hearing and thought
can be similarly hypothesized to constitute quantum computational
rewrite systems, with a supra-genetic relationship to the genetic
code. This confirms De Duve's7 contention that the function
of genetic code base pairing governs whole of biological structure
& information transfer throughout the entire biosphere. For
now, the nilpotent quantum computational rewrite system definition
of the two DNA base pairings A = T, and G≡C is that of a nilpotent
rewrite system's two minimal productions consisting respectively
of :- a quantum create operation (as described above) and, a corresponding
annihilation operation of natural selection (think of it , for example,
as a proofreading) which checks that any new chemical structure/hierarchical
chemistry is compatible with that already selected, and if not,
annihilates it until a compatible alternative is found or results
in the abortion of the entire rewrite process. In particular, this
is a means of ensuring that living systems are themselves quantum
coherent systems/QCE's, endowed with quantum computational evolutionary
advantage over the corresponding class of Classical thermo-dynamic
Carnot Engines (CCEs), which QCEs include. A distinction, which
can, for example, be used to define the term Zombie ie CCE, as machines
without minds or consciousness, in such way as to rule out the often
contentious assertion in consciousness research that there is no
difference. And in particular this distinction & the above arguments
assert that the self repair/'the remaking whole of the individual
organism' ie its health, is geared to each individual's unique genetic
code, as, for example, has always been the philosophical basis and
practice in the therapies of complementary medicine,
j) A theme taken up by Schjelderup, from his extensive and successful
medical practice of acupuncture. He pointed to the remarkable fact
that the basis of the biological healing system has been little
studied by the orthodox Western medical research community. This
despite the fact that humans and indeed all complex organisms could
never exist without this ability to heal themselves, which is the
principal vehicle of concern to complementary and Eastern medical
practice. Data was then presented in support of his case that both
acupuncture and the human healing system work on a bio-holographic
basis, in agreement with (a) and (b).
Summary
These QCE descriptions all further confirm :-
k) a nilpotent global thermodynamic quantum evolution of the Universe
(a) (in accord with the First, Second and Third Laws of Thermodyamics)a,
where the result of each irreversible QCE cycle as quantum measurement
is the quantum preparation for the next, so that
l) quantum mechanics
is ultimately a unique global thermodynamic irreversible process,
specified by Boltzmann's constant k, where E = kT and T, the temperature,
is a global measure, as it is in relation to the calorimetry of
the Big Bang (ie the Universe itself).
m) Indeed the most important
ANPA paper by Pierre Noyes (an ANPA founder) and James Lindsay,
presented actual analyses of this calorimetry as it concerns the
latest cosmologically observed background energy (COBE) which shows
that it - COBE - can be accounted for by
(i) a steady change with reference to a fixed background and
(ii) the assumption that the cosmos is quantum coherent, so that
COBE would corresponds to the process called "quantum state holography8"
and the Universe could indeed be modeled as a QCE.
It would therefore seem with hindsight that Boltzmann pre-empted
Planck as the first discoverer of modern quantum physics. For this
new global thermodynamic explanation, the QCE, resolves the paradox
which caused him to take his own life! For QCE behaviour is that
of an entire quantum field/system and so represents a function of
every point of the energy surface corresponding to the energy of
the system, a fact that underlies statistical mechanics and for
which until now there was no entirely satisfactory explanation.
Other papers were
n) that of Emeritus Professor Clive Kilmister (a ANPA founder) on
the mathematics of calculating the electromagnetic fine structure
constant from the discrete process model of quantum physics known
as the Combinatorial Hierarchy (CH), which has been ANPA's principal
remit throughout its 25 year existence. Comparison with the empirical
experimentally measured value, shows very close agreement as such
difference as there is, falls within current experimental error.
o) Ted Bastin stated his latest thoughts of why the CH process model
of discrete quantum physics was necessary to the modern scientific
understanding of quantum theory A thesis which it was agreed later
during informal discussions between Louis Kauffman, Peter Marcer,
and Peter Rowlands for example, could now be explained on the basis
that the CH is in fact itself a nilpotent computational rewrite
system and thus with hindsight a recognizable process model for
quantum mechanics expressed in terms of the language of the two
productions/symbols 0 and 1 ; (other examples of such rewrite systems
are :- Spenser-Brown's laws of form often used by Kauffman ; John
Conway's generation of the surreal number fields 9 which
mathematically exhibits the unique field automorphic birthordering
propertyl that the QCE provides quantum physically in relation to
the Second Law, already referred to above. It is of particular interest
because Clive Kilmister used the John Conway generator many years
ago, in his Brouwerian Foundation of the CH; and finally that of
Dirac's now famous quantum mechanical notation with its two productions,
bra & ket 10.
p) These hypotheses were further legitimized by Michael Heather
in his later presentation, when he put the necessary mathematical
criteria for any description of the cosmos into the foundational
context of modern category theory. His explanation of how nilpotent
computational rewrite systems in general and the CH in particular
meet these criteria, included those that have to be met if the fine
structure constant is to be calculable from the CH as reported in
(i) above. That is, they must necessarily define a grammar called
by ANPA, discriminant closure, able among other actions, to turn
the symbols 0 & 1 into numerical values in relation to the quantum
algorithm/program that ANPA very appropriately called Program Universe.
q) Peter Rowlands then gave a paper on how the formalization of
the generalized nilpotent Dirac equation (which, as stated above,
can be derived from the Rowlands & Diaz nilpotent computational
rewrite system where the rewrite rules or productions allow new
symbols to be added to the initial alphabet, enabling it to rewrite
itself) fits in a truly marvelous way with the understanding of
the concept of the quantum mechanical vacuum, as a fixed empty reference
frame. It is that such vacuum descriptions by complementary pairs
of nilpotent operators specify the action and reaction of the quantum
system, object or elementary particle acting on the universe and
vice verse, so that together the two not only result in an nilpotent
equilibrium or "no-thing", but are such that the inertial properties
of matter are explained.
r) Pierre Noyes' talk concerned physical eschatology. This concerned
the very critical issue (even if many current human policies and
actions are subject to unexpected and radical about turns) of whether
mankind's future survival and that of life itself on the planet
Earth is already in question in the next fifty years, as many factors
would now indicate to be the case. It is a case that man's radical
abuse of the self-governing Biosphere as a QCE would readily support;
for while Western Governments readily accept the economic necessity
to prevent the disaster of overheating the world economy i.e. high
inflation, the evidence for the overheating of the Biosphere i.e.
global warming, has until now been largely ignored or simply given
lip service even though it could threaten the survival of mankind
itself, and the facts indicated is already doing so!
s) Mike Manthey continued his prescient very early (1980s) conception
that quantum physics is synonymous with "parallelism in computation"
which he currently (1990s) describes via the two productions of
co-occurrence and co-exclusion. This has led him to a radically
new concept in quantum computation, the Phase Web paradigm, described
as space-like to distinguish it from Turing and Von Neumann architectures,
which are time-like. Such a phase web was shown to consist of a
lattice ladder of "phase gates" where co-occurrence and co- exclusion
operations take place. It posits the hypothesis that the phase web
is itself a "space-like" minimal computational rewrite system, which
describes novel technology, able, for example, to encode and decode
holographic information by phase, and transmit it with enormous
efficiency. For example, of a 3D view from an encoding web situated
on Mars, to viewers thus able to imagine themselves on Mars, while
inside the decoding web on Earth, and finally of both :-
t) Ord and Kauffman. They demonstrated mathematical extensions of
discrete quantum physics which were in agreement with their standard
counterparts, but which as discrete descriptions avoid the counterpart's
problems of renormalization, ie infinities. However these problems
are also avoided if the counterpart is, as proposed here, nilpotent,
since then the total global energy of the Universe as a whole is
zero. Indeed their mathematics showed this, too, because their extensions
describe both the discrete and the standard solution simultaneously,
and in Ord's case, the solution's trajectories linked together perfectly
so as to behave as a single united whole. That is to say, as Feynman
first point out for electrons, they behave exactly as if there was
only one single trajectory or electron, ie hololistically.
References
a) ZENERGY :THE "PHASEONIUM" OF DARK ENERGY THAT FUELS THE NATURAL
STRUCTURES OF THE UNIVERSE.
Peter Marcer*, Edgar Mitchell**, Peter Rowlands***, Walter Schempp****
*55 rue Jean Jaures, 83600 Frejus, Var, France aikidopeter@aol.com
http://www.bcs.org.uk/cybergroup.htm
** Institute of Noetic Sciences, PO Box 540037, Lake Worth, FL.
33454.USA, Fax: +1561641-5242, edgarmitchell@msn.com
***IQ Group and Science Communication Unit, Department of Physics,
University of Liverpool, Oliver Lodge Laboratory, Oxford Street,
P.O. Box 147, Liverpool L69 3BX, UK. prowl@hep.ph.liv.ac.uk and
prowl@csc.liv.uk
****Lehrstuhl fur Mathematik I, University of Siegen, 57068 Seigen,
Germany. schempp@mathematik.uni-siegen.de
Abstract To incorporate thermodynamic, quantum and classical dynamical
laws, the Universe is treated as a quantum Carnot engine (QCE) or
single heat bath in which the ensemble of elementary particles retains
a small amount of quantum coherence, so as to constitute new states
of matter known as "phaseonia", the first being its Zenergy, the
empty ensemble of dark energy. How Zenergy fuels the natural structure
of the Universe, is then in complete accord with the existence of
3+1 space-time, the known elementary particles quantizations and
galactic structure. Similar QCE explanations of the natural structure
of DNA, and of the human brain/mind as a conscious engine are given.
Thus 'the Universe, life, consciousness and everything' may derive
its entire structure from this difference between classical and
quantum mechanical thermodynamic machines.
Keywords : an evolutionary cosmology, quantum coherence,
quantum Carnot engine, the Creation, dark energy.
2004 Sixth International Conference on Computing Anticipatory Systems,
CASYS '03, Liege, Symposium 10, Journal of Computing Anticipatory
Systems, ed. Dubois D. 189-202
(b) A Computational Path to the Nilpotent Dirac Equation
Bernard Diaz. & Peter Rowlands Department of Computer Science,
University of Liverpool Chadwick Building, Reich Street. Liverpool.
L69 7ZF. UK e-mail b.m.diaz@.csc.liv.ac.uk
Keywords: nilpotent, Dirac equation, rewrite system.
universal alphabet abstract
Abstract Assuming the nilpotent Dirac equation in the form outlined
by Rowlands (elsewhere in the CASYS AIP proceedings and published
in the on-line arXiv:quant-ph at xxx.lanl.gov) this paper introduces
a computational path to it using the concept of a rewrite (or production)
system. The system differs from traditional rewrite systems in that
the rewrite rules allow new symbols to be added to the initial alphabet;
Thus the system can start with just one symbol, representing "nothing",
and with two fundamental rules; create a process which adds
news symbols, and conserve a process that examines the effect
of any new symbol on those that currently exist With each step a
new sub-alphabet of an infinite universal alphabet is created The
system may be implemented in an iterative way, such that a sequence
of properties is required of the emerging sub-alphabets. We show
that one such sequential path proceeds from "nothing" through conjugation,
complexification, and dimensionalisation to a sort of steady state
in which no fundamentally new symbol is needed. At this stage the
alphabet is congruent with the nilpotent Dirac equation in the form
described above. It is suggested that many ways of implementing
the computational path exist and these do not need to be at all
complicated.
2004 Sixth International Conference on Computing Anticipatory Systems,
CASYS '03, Liege, Symposium 10, Journal of Computing Anticipatory
Systems, ed. Dubois D. 203-218
Other references
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2 Rowlands Peter, 2003, Symmetry Breaking and the
Nilpotent Dirac Equation, Symposium 10, International Conference
for Computing Anticipatory Systems, HEC Liege, Belgium, August 11-16,
2003, American Institute of Physics Proceedings of the International
Conference of Computing Anticipatory Systems, editor Daniel Dubois,
in press.
2a Rowlands P. and Cullerne J.P. 1999 A derivation
of particle structures and the Dirac Equation from fundamental symmetries,
Proceeding of the 20th annual meeting of the Alternative Natural
Philosophy Association (ANPA), Wesley House, Cambridge, editor K.Bowden,155-191.
contact is via anpa-discussions-subscribe@yahoogroups.com
2b Rowlands P. and Cullerne J.P. 2001, Nilpotent
Representations of the Dirac Algebra, Proceeding of the 22th annual
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See also at xxx.lanl.gov
the Dirac algebra and its physical interpretation, with J. P. Cullerne
arXiv:quant-ph/00010094
Applications of the nilpotent Dirac state vector, with J. P. Cullerne
arXiv:quant-ph/0103036
A foundational approach to physics arXiv:physics/0106054
The Dirac algebra and grand unification with J. P. Cullerne arXiv:quant-ph/0106111
QED using the nilpotent formalism, with J. P. Cullerne arXiv:quant-ph/0109069
The group structure bases of a foundational approach to physics,
with J. P. Cullerne and Brian D. Koberlein arXiv:physics/0110092
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