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Investigations into the Nature of Matter

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Priory School
My young class at Priory School did not see me as a great disciplinarian. I did however make a considerable effort to instill an interest and a fair confidence in mathematics, which are not always present in eleven year olds (nor beauty queens). 😊
Durham Maths
I was very happy to work as a research student under the fabulous supervision of Ed Corrigan at Durham University (1986-89). Ed is a world-renouned string theorist who helped me to understand some current areas of his research in this fast-developing and literally fantastic field of theoretical physics.
Ghosts
The search for truth and wisdom never ends. I continue my life-long search for a better understanding of anything and everything, including matter and the elusive nature and origin of mind.

Elementary Particle Theory

Quantum Field Theory (QFT) combines Quantum Mechanics (QM) with Special Relativity (SR) and underlies the Standard Model (SM) of leptons and quarks (full DERIVE program downloaded here).
The SM is a theory of quantised fields in space-time, but space-time itself is not quantised in that theory nor in Einstein's theory of gravity. These two pillars of modern physics, General Relativity (GR) and the SM, are based on very different branches of mathematics, Riemannian curved space and Hilbert function space respectively, which are not easily united. CERN found the vital missing Higgs boson in 2012, but unfortunately the experiments showed no hints of what might lie beyond the SM. WARNING: almost everything you read beyond this point in this section is highly speculative theoretical elementary particle theory.

Knots in String Theory

If point particles are actually more like vibrating strings, then the resulting String Theory (ST) appears to be able, in principle, to incorporate both the SM and gravitation. It is potentially a Theory of Everything (TOE), unifying QFT and GR. This is a most exciting development that promises to unite the very small and the very large!
If elementary particles are spinning loops of vibrating string, then the required tension in the string could shrink the loop to a point. What then gives particles, like electrons and quarks, their stability? Perhaps the string is knotted and therefore cannot collapse indefinitely. This proposal is made in my paper, Torus Knots are Rigid String Instantons published in 1989.

Knots in Strings, Membranes and Lumps

Drum What about membranes, or 3-dimensionally extended lumps? In 1990 I published a theory of Self-Dual Lumps and Octonions and attempted to find quaternionic knotted solutions. The existence of such solutions of the new theory has not yet been proved, and there is no evidence that the theory fits the world except that it is very beautiful and provides enough spatial dimensions for SM.
Less ambitious solutions have been found, but not the self-dual quaternionic knotted lumps, introduced in Self-Duality and Extended Objects and explained in a lecture to the physics and math departments at the University of the West Indies in 2012.
The lecture slides start from basic relativistic particle dynamics and show how gravity and electromagnetism may be added. Building on this foundation, quantum fields are introduced and the standard model is outlined. Then ST, rigid string and knots are described and the new TOE is explained.

Quantised Rigid Knotted Super p-Branes

Kaluza demonstrated that electromagnetism could be added into a 5D version of GR where one of the dimensions is tightly curled up. By this mechanism the extra dimensions required in standard 10D extended supersymmetric ST may be wrapped up in various ways, such as Calabi-Yau compactifications, in the search for a natural way to include all the nuances of the SM in ST. To date, no satisfactory wrapping has been found.
The 3 forces in the SM, electromagnetic, weak interactions and the strong force, each arise as a consequence of a symmetry. Consider objectively two butterflies fluttering around one another and imagine that this demonstration of 'animal magnetism' is ultimately explicable in terms of some deep symmetry. Of course there is already an obvious symmetry between the two butterflies. They are the same species, they look the same, and (presumably) talk the same and even smell the same, but is there a mathematical account of their attraction towards one another? Could a new fundamental physical force result from the deep genetic symmetry between them? ... Butterflys

A theory of everything unifies all ideas into a coherent understanding.

YOU are Special

You have evidence that you are absolutely special but you choose to ignore it. Your own immediate awareness makes you absolutely different from everyone else in the world. Although you may deeply empathise with others, even other animals, you will forever remain you. You are ABSOLUTELY SPECIAL and you cannot deny that.

WHO is Conscious?

No one can prove that you are conscious, and you cannot prove that anyone else but yourself is conscious. Consciousness can only be observed internally, in oneself. Science strongly asserts: the fundamental laws of physics are necessarily the same for all observers. But what if the laws of nature are tautologies with no physical content other than that this is the way things must be?

WHENCE the Meaning of Anything?

All meaning resides in the light of awareness. The circumstances under which an observation is made, the boundary conditions, not the laws, dictate meaning in reality.

The ultimate laws of nature appear to be tautologies;
if so, only the boundary conditions contain real meaning.
We are getting used to the idea that geometry is empirical, and now that logic is quantal.
Consider that laws are theorems, and circumstances prescribe everything meaningful.

There is, and can only conceivably be, one consciousness - only one immediate and present reality, only one fountain of direct awareness. Other minds are a complex tangle of states leading to complex behaviour patterns, but actual consciousness is certainly singularly solely one's own.

From Reality to Complexity

Complex functions reside in Hilbert space. Operators which act in Hilbert space project real measurable numbers out of the functions. Our body houses an array of senses which must correspond to quantum operators acting to expose the real world.
Fundamental forces result from symmetry. The strong force between two colored quarks is deducible from an SU(3) symmetry. Consider two oppositely gendered butterflies fluttering around one another. Is this animal magnetism explicable in terms of some deep symmetry of nature? They are the same species; they have the same genetic origins; their genomes are, to a large extent, identical. Could this deep symmetry appear as a force? All the cells in one's body have identical DNA in the nucleus; might they be united through deep symmetry and adopt a collective, coordinated, correlated, unified behaviour, as do fermions through Fermi-Dirac statistics or bosons through Bose-Einstein statistics?


Love is Perfect Communication

G2 is a beautiful symmetry. Using Yang-Mills theory with G2 can produce a theory of deep and complicated forces, call it G2 Love. We may look for human dimensions that fit in with this 7D mathematical way of looking at human relations. The search for dimensions of the mind is not new. Could love itself succumb to an exact characterisation? Should we view other minds like quantum computers with superpositions of many entangled possibilities?

New and Ancient Understanding

Quantum physics seems incomprehensible to contemporary Western metaphysics. Could Eastern metaphysics provide a better foundation? The mystical schools of Indian philosophy such as Advaita Vedanta and Raja Yoga may be best suited to enlighten the West.
UCPO flyer Yoga is said to be a religion and a science with many paths including hatha, raja, karma, bhakti, jnana, kundalini, mantra and tantra yoga. Patanjali's Raja Yoga, has eight limbs, or stages, to enlightenment: yama (abstinences), niyama (observances), asana (posture), pranayama (breath), pratyahara (withdrawal), dharana (concentration), dhyana (meditation) and samadhi (absorption). The aim is clarity through higher levels of consciousness which we in the West do not recognise.
One faces the world from within, looking out. According to Advaita Vedanta, individual souls are central to the description and the final understanding of the world.
UNITY CONSCIOUSNESS AND THE PERFECT OBSERVER: Quantum Understanding Beyond Reason and Reality tries to explain how quantum thinking might change our perception of ourselves and the world. It attempts to convey a philosophy involving a paradigm shift from logic to quantum logic and from reality (real numbers) to complexity (complex numbers). Philosophical Problems of QUANTUM ONTOLOGY gives a more traditional critical background to many well known interpretations of quantum theory.
If probability is indeed a fundamental concept, then there is an unquenchable mystery at the root of modern physics because then uncertainty means inexplicable.

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