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Transcript
How Computer Science simplifies the
understanding of Quantum Physics; resolves the
Enigma of Heisenberg Uncertainty; to reveal a
Unique, Self-organised Emergent
Quantum RNA/DNA Cosmology,
where the evolution of the human genome results
in natural human intelligence a - see slide Note
P.J. Marcer &
P. Rowlands
A Explanation of the Creation of New States of
Matter
 This explanation of quantum physics uses
computational rewrite science productions.
 These describe a single parameter phase θ,
self organised, single heat bath cosmology
idealised by the Quantum Carnot Engine  able to create novel ensemble states of
matter, with properties that may have never
have existed before: such as human
consciousnessk as a property of the brain
This Rewrite Methodology for Quantum
Physics follows from the fact


that in quantum physics (qp) there are only unique
fermions and their boson interactions &
that the languages of computational rewrite
productions for computer hardware to interpret,
use an alphabet of unique symbols, where each
symbol may stand for itself, a sub-alphabet or the
whole alphabet, to define the language grammar

1 P Rowlands, Zero to Infinity, 2007, World Scientific, Singapore & London

2 H Weyl 1928 The Theory of Groups & Quantum Mechanics, Dover edition
- Chapter IV C-Permutation Group-10 periodic table & V C-15 spin&valence
so Pauli exclusion says there should exist a
computational rewrite language for quantum
physics with an infinite alphabet of symbols, each
corresponding to a unique fermion state, where
both, it can be postulated, are isomorphic to the
complete symmetry/ permutation group known as
the Galois group (of automorphisms) by means of
which all the finite groups can be realised, and if
one identifies the permutations with bijections on
the symbol for the whole alphabet/degenerate
vacuum state, this remains true of all groups
including the continuous and Lie groups.
A universal normalized quantum physics of
emergent fermions where
permutation defines probability current & density b

quantum normalization is always satisfied; for by
definition for any group, a unit element exists and each
group element has an inverse; & by the 3D Heisenberg
Lie group G and its Lie algebra g - qp uncertainty too!

the symmetry breaking of the Galois group (as the
degenerate ground state) into its non degenerate
fermions parts, where each new fermion operator
construct X must differ from but be compatible with all
the Xs that proceed it.

Remarkably in this cosmology!


Heisenberg uncertainty is such that expg →G &
logG→g (as in a slide rule) i.e. the means by
which exponential complexity may be optimally
controlled, as illustrated in the next slide
quantum phase θ coherence /entropy is not simply
a measure of disorder but also the metric of
physical complexity – leading thermodynamically
to the creation of entirely novel ensemble states
of matter, which may never have existed before.
Heisenberg uncertainty - the actual means of
3D geometric quantum computation!
The diagramc shows quantum
signal decay losing amplitude
wrt z axis but simultaneously
regaining the energy
longitudinally as phase θ, so
that the brain slice selected for
measurement (by a prepared
e-m pulse train applied in MRI)
is transformed thermodynamically into a wave
diffraction pattern/quantum
hologram of the brain slice.
1. The First or Conservation Law


this universal rewrite language L with an infinite
alphabet of self organized emergent construction [1],
predicates a single generic algebraic Dirac fermion
operator X appropriate to the Einstein equation for the
quantum conservation law of Energy, Momentum and
Mass, X2 = E2– p2 – m2= 0 for each nilpotent root X ≠ 0,
so that L(X) describes the quantum physics of a non
trivial emergent fermion cosmology with roots X, the
quantum mechanical trace ∑X2 of which is always a zero
totality, even though the description of each emergent
fermion is non trivial i.e. X≠0!. Where .. &d
The Second Law in L(X), a single heat bath
self organised quantum cosmology
Single parameter quantum coherence phase
θ fundamentally alters ideal Carnot heat
engine* thermodynamic efficiency
 from η = 1- Tc/Th where Tc and Th are the
low & high temperatures entropy sink and
source

to ηθ = η – θcosθ even when Th = Tc
* Which Scully et al Science 2003, 299,pp 862-864 call a Quantum Carnot
Engine (QCE)

the cosmic emergence, is, Conwaye tells us, isomorphic to
the Galois group's unique birthorder field automorphism,
its initial degenerate state θ0 is arbitrary, fixed and 'dark' as
no fermion state is distinguishable from any other,

the single generic, nilpotent, self-similar fractal dimension
2 operator X delivers the entire semantic language apparatus
of quantum physical normalised amplitude and phase θ

X/conservation law are both implicitly gauge invariant i.e.
independent of any particular 'space-time' coordinate system
and each gauge invariant individual solution/root (Xj,θj)
conforms to the usual Dirac fermion properties including
spin - see Note d slide 8 & Appendix slide


the phase mapping θ →θ (measure the unit disk) delivers
the infinity of possible solutions Xj of the conservation
equation in terms of its multivalued Riemann surface.

An actual physical system where Nature can be postulated
to implement such a Riemann surface is
the genetic helical structure θ→θ of
fRNA(nilpotentX{A=U}≠0) : DNA(nilpotentX2{A=T}=0)
where {}, the planes in which the base pairings take place,
are the Riemann surface sheets/hologram planes j



and each unique gauge invariant θj, encodes the associated
relativistic gauge invariant 3+1 space time geometry j,
through the base pairings {G≡C} and {C≡G}
next slide courtesy of molecular biologist Dr Vanessa Hill

the symmetries U(1), SU(2), SU(3) a Lie group, the
gauge group of the Standard Model, the Lie algebra of
which correctly defines the quantizations of the scalar
boson, the 3 vector bosons and 8 gluons [1].
UNIFICATION OF PHYSICS AND BIOLOGY
BIOLOGY
5 - Fold Symmetry
Fibonacci, golden section etc
PHYSICS
5 - Fold Symmetry
Broken
20 Amino Acids
20 Algebraic Elements of
Fermionic+vacuum structure
Double stranded DNA : Double helix
One handedness
Van der Waals force
Fermion+vaccuum Spin ½ x 2 : Double helix
One handedness
Van der Waals force
64 Possible Triplet codons : 4³
64 Elements of Dirac Algebra
4 Bases : Adenine, Guanine
Cytosine, Thymine.
4 Parameters : Mass, Space,
Time, Charge
the molecular biological basis of the
RNA/DNA genetic code via the language of
the human genome, enables the Group's
Mission Statement postulateg that
 creativity & natural semantic language
thinking at the higher rewrite level of self
organised emergent chemical molecular
complexity of the human brain, is realisable
 by these same universal rewrite language L
criteria, where each new emergent fermion
X described, is a new property of matter.

So the 3D dynamic architecture ..
of the conscious human brain-mind & the
self, realised respectively L(X) says, by

its neural/glia and microtubule substrates,
would have
 the creative natural language capability
L(X) to specify, symbolize, spell out &
understand the cosmos that conceived it and
a
 to resolve the dichotomy of first person
subjectivity and third person objectivity.
Are All Scientific Laws, Rewrite Productions of L(X)?
6. the 3D structural molecular complexity
of brain/mind & senses including
5. the laws of living systems in the 3D form of
biological molecular DNA/RNA genetic code
4. the laws of atomic chemistry,
**
7.the semantic laws of natural language &
valence & the periodic table [2]
thought in accord with Wittgenstein's principle
3. the nilpotent Dirac operator X &
in the form of the Nilpotent Universal
Standard Model elementary particle
Computational Rewrite language L(X) itself
quantum physics [1]
8.as the creative intelligent
semantic means to
understand the science of
the cosmos?
The laws of thermodynamics & in
particular 1. a generic Einstein
conservation equation of energy,
momentum and mass & 2. the
Second law as it applies in a single
heat bath!
L predicates a description for the primeval dark energy from which 1-8 are emergent
**see Note h next slide
Is the Great Book of the Universe
written in the language L(X) of
Universal Rewrite Computation?
This nilpotent language L of self organized
emergent rewrite productions X so far
spells out in recognisable mathematical
form, the laws of quantum physics[1],
chemistry[2], molecular biology[1,ch19]
& neurophysiology[1,ch20;3i] starting
with the First, Second and Third Laws of
Thermodynamics
BCS Cybernetics Machine Specialist Group
Remit – the physical foundations of computation





Founding speaker 1986 David Deutsch – 'The
Church-Turing Principle & the universal
quantum computer'
Leading question – the brain’s architecture?
Why is it so different from that of the digital
computer?
Could physical law, explain this?
and in particular, quantum mechanics (QM)?
The 2007 source book of the NUCRS j is Zero to Infinity
 http://www.worldscibooks.com/physics/
6544.html plus more
 recent refereed papers of the American
Institute of Physics CASYS and Vigier
conference proceedings of which
 Peter Rowlands, physicist ;Bernard Diaz
computer scientist, Vanessa Hill,
molecular biologist,Nature’s genetic Code
ch19, & myself, Nature’s Rules. ch20 for
the evolution of intelligence are coauthors
Slide Appendix




A new application of MRI showing neuron fibre signal
paths in the corpus collosum of the human brain
An picture of a coil of DNA by electron microscopy
A DNA shaped Nebula
The 'rewrite' derivation of the quantizations of the
Standard Model Baryons and Leptons

The universal nilpotent computational attractor

Relative sizes in the Universe (logarithmic scale map)

The structure of a human neuron and Eccles' Hypothesis

Self organization of solid state matter
This is a new application of MRI
An actual picture of a coil of DNA
Large-scale physical systems
‘Astronomers have discovered an
unusual helix-shaped nebula near
the centre of the Milky Way. This
peculiar nebula stretches 80 light
years, and looks like the classic
image of a DNA molecule. The
nebula formed because it’s so close
to the supermassive black hole at
the heart of the Milky Way, which
has a very powerful magnetic field,
powerful enough to reach out this
incredible distance and twist up
this gas cloud with its field lines.’
Nature March 16 2006.
##öý¶l®üAðSÄ_#´ïˆ:F•û"O¬?함ü
The nilpotent fractal self
similar universal
computational attractor,
where the changes of
phase θ all take place,
each resulting in an
entirely new emergent 2D
unit vector i.
Relative 3/4D sizes in Universe
This marvellous Scientific
American book gives a more
detailed picture.
By moving the decimal point
to change the scale from the
human scale we see, what our
scientific instruments tell us
is the case!
exp(ln θ) = θ = ln(exp θ)
Eccles' Hypothesis II
Eccles Hypothesis
moots that if one can
explain the exact
nature of the working
of the synapse and
it is quantum
mechanical then the
brain must be too.
Self-organization in solid-state matter
Coldea et al, Science, 327, 177,
January 2010, showed that linked
chains of magnetic atoms of cobalt,
one atom wide, transform, under a
magnetic field applied at right
angles to an aligned spin into a
quantum critical state – a quantum
version of a fractal pattern.
Resonances occurred in the golden
ratio of 1.618…, reflecting an
underlying E8 symmetry.
The End