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Science of Enlightenment (by Pradeep B. Deshpande)
A chemical engineer’s perspective on the science of enlightenment is presented. Rational but open-minded scientists have been relentlessly pursuing evidence which would support the wisdom of our enlightened ancestors. Western scientists have done an awful lot of wonderful work in recent decades that is chipping away at the mystery surrounding the phenomenon of enlightenment. The resulting ideas and concepts cut across all boundaries of religion, race, caste, cultures and nationality. The framework is made possible by ancient Eastern wisdom and the work of Western scientists. The concepts are not only for individual transformation but also for world transformation and as a subset, national transformation. While there appears to be a theoretical limit on national or world transformation and therefore the extent to which global peace can be achieved, the framework in this paper is capable of making a real difference for humanity. http://jcer.com/index.php/jcj/article/view/200
Sexual Paradox in the Conscious Brain (by Chris King)
Despite its seemingly ephemeral basis in a sappy organismic brain at the 'apex' of evolution, subjective consciousness may be too fundamental a property to be explained, except in terms of fundamental physical principles, as a complementary manifestation to quantum non-locality, which directly manifests the principle of choice in free-will in generating history. This cosmology is intrinsically sexual. Subject-object complementarity is different from either panpsychism or Cartesian duality. The subjective aspect is described as complimentary to the physical loophole of quantum uncertainty and entanglement, just as the wave and particle aspects of the quantum universe are complementary. Subjective and objective are interdependent upon one another with neither fully described in terms of the other. Furthermore, the transactional interpretation is intrinsically sexual in the sense that all exchanges are mediated through entangled relationship between an emitter and an absorber in which reduction of the wave function is a match-making sequence of marriages. This sexual paradigm is not simply an analogy, but is a deep expression of the mutual complementarity and intrinsic relationship manifest in the existential realm, physically and subjectively. http://jcer.com/index.php/jcj/article/view/201
The Errors of Statistical Hypotheses and Scientific Theories (Stephen P. Smith)
The process of error recognition is explored first in statistics, and then in science. The Type II error found in statistical hypothesis testing is found analogous to Karl Popper’s “logical probability” that is intended to measure the likelihood that a scientific theory can avoid its refutation. Nevertheless, Popper’s reliance on deductive thinking is found detracting from his demarcation that separates science and metaphysics. An improved critical logic for science is presented that permits error recognition more broadly: for induction by Popper’s falsification principle; but also for deduction and emotionality. The reality of induction creates a limitation for a science that has not accommodated a fuller menu of error recognition. The reality of induction places limits of what can be known from empiricism, and this has philosophical implications. http://prespacetime.com/index.php/pst/article/view/297
Kaluza-Klein Inflationary Universe in General Relativity (by Kishor S. Adhav)
Kaluza-Klein inflationary universe in general relativity has been studied. To obtain the deterministic model of the universe, it has been considered that the energy-momentum tensor of particles almost vanishes in the course of the expansion of the universe and thereby total energy-momentum tensor reduces to vacuum stress tensor. This assumption leads to (i) a ~ exp[Ht], where a is scale factor and H is Hubble constant. (ii) the effective potential V( ϕ) = constant, where ϕ is Higg’s field. It is observed that inflationary scenario is possible in Kaluza-Klein universe. http://prespacetime.com/index.php/pst/article/view/279
10 Reasons to Buy into Big Science (by Philip E. Gibbs)
When people hear the price tag for big science experiments like the Large Hadron Collider or the Hubble Space Telescope they wonder what the benefits are that justify the cost. I am not talking about projects with obvious potential benefits such as a fusion reactor. This is about pure science, why is it worth doing? In fact there are lots of reasons so here is my list of the top 10, starting with the least important. This article is based on viXra Log at http://blog.vixra.org. http://prespacetime.com/index.php/pst/article/view/301
The Schrodinger-Equation Presentation of Any Oscillatory Classical Linear System that Is Homogeneous and Conservative (by Steven K. Kauffmann):
The time-dependent Schrodinger equation with time-independent Hamiltonian matrix is a homogeneous linear oscillatory system in canonical form. We investigate whether any classical system that itself is linear, homogeneous, oscillatory and conservative is guaranteed to linearly map into a Schrodinger equation. Such oscillatory classical systems can be analyzed into their normal modes, which are mutually independent, uncoupled simple harmonic oscillators, and the equation of motion of such a system linearly maps into a Schrodinger equation whose Hamiltonian matrix is diagonal, with h times the individual simple harmonic oscillator frequencies as its diagonal entries. Therefore if the coupling-strength matrix of such an oscillatory system is presented in symmetric, positive-definite form, the Hamiltonian matrix of the Schrodinger equation it maps into is h-bar times the square root of that coupling-strength matrix. We obtain a general expression for mapping this type of oscillatory classical equation of motion into a Schrodinger equation, and apply it to the real-valued classical Klein-Gordon equation and the source-free Maxwell equations, which results in relativistic Hamiltonian operators that are strictly compatible with the correspondence principle. Once such an oscillatory classical system has been mapped into a Schrodinger equation, it is automatically in canonical form, making second quantization of that Schrodinger equation a technically simple as well as a physically very interpretable way to quantize the original classical system. http://prespacetime.com/index.php/pst/article/view/294
Nonlinear Theory of Elementary Particles Part XIV: On Photon and Electron Structure (by Alexander G. Kyriakos)
In the present article is shown the equivalence of the description of particles as point-like in the framework of quantum theory and as non-point-like in the framework of the nonlinear theory of elementary particles (NTEP). It is shown that non-point electron explains many peculiarities of quantum theory with respect to the classical theory. It is shown that the non-point structure of the electron allows us to calculate the characteristics of the electron and, in particular, to prove the universality of the electron charge. http://prespacetime.com/index.php/pst/article/view/295
The Way of the Ultimate Tao (by Chris King)
From the beginning both mind and universe exist as paradoxical complements, each discovering its own nature through its complement. That is, the foundation of the mind and of the universe is the Tao. The universe is forever the Tao of Physics, as Capra noted, the paradoxical interplay of wave and particle, and as natural processes gather into the macroscopic world of experience, chaos and order, as the weather, evolution and conscious thought alike attest. For order to attempt to rule over chaos is as futile as for the particle to try to rule over the wave. Any society which attempts to rule by order alone is doomed to catastrophe as the natural process transition becomes frozen into an apocalyptic revolution collapsing the old order. http://scigod.com/index.php/sgj/article/view/164
The Self-Aware Emptiness of the Quantum Universe (by Graham P. Smetham)
Some of Zurek’s remarks seem to indicate that he thinks that his analysis undermines the ‘ultimate evidence’ that the classical world is entangled and dependent upon consciousness. However, a rigorous analysis shows that the opposite is the case; Zurek’s epiontic quantum Darwinian classical universe is ultimately dependent upon consciousness. It would seem that the entire epiontic process of the evolution of reality is geared towards the production of ever greater levels of sentient awareness and the material world is an ‘advertising billboard’ for a realm of solidity amidst the ‘unreal’ ‘dream stuff’ of the quantum realm within which individualized consciousness can grow to fruition. And the reason that the apparent solidity of the apparently material universe comes into being is because the universe is nothing more than an enormous and multitudinous ultimately immaterial epiontic information exchange which takes place within the quantum ‘dream stuff is made of.’ http://scigod.com/index.php/sgj/article/view/165
Various Thoughts on God & Science (by Himangsu S. Pal)
In this essay, I describe my various thoughts on God and Science. God had to create this world in order to overcome His utter loneliness. So He wanted in His creation a conscious life-form (man) with whom He could communicate. It is unbelievable that God can suffer from any uncertainty of knowledge. At deeper level universe is deterministic. My own experience of life (mystical and others) also confirms it. So when God will observe the position of any subatomic particle, He will observe that with His own light. Evil is there not because God has given man free will, but because God is fully free. God is fully free means God has got full freedom to create. This is for those who are very much hurt by the idea that God is neither good nor evil, that He is beyond good and evil. http://scigod.com/index.php/sgj/article/view/166
The purpose of this paper is to discuss the biological plausibility of the pace of creation written in the genesis. A fascinating hypothesis is made on the central role of serotonin as a guide, as the director of the phenomena that enable the best use of light by the plant world, the growth, the regulation of mood in the complex molecular interactions that characterize the varying levels of consciousness. This hypothesis provides biological interpretations of the correspondence of creative steps, from light to man, passing through the vegetable and animal world. http://scigod.com/index.php/sgj/article/view/160
Future Implications of a Pre-Adamic, Global & High Ancient Civilization (by Nadeem Haque)
A pre-Adamic global highly evolved united ancient civilization that believed in the oneness of God is shown to have existed from the textual evidence within the Quran, based on an analysis of certain verses that have been deconstructed and examined, with novel insights. Furthermore, recent archeological and textual work is pushing back the dates of ‘ancient civilizations’. This, together with the Quran’s remarkable historical accuracy of archaeologically unknown facts at the time of its advent about 1,400 years ago, is uncovering unexpected facets of our very distant past, with vital implications for our future. http://scigod.com/index.php/sgj/article/view/161
Pregnant Zero and Universal Paradox (by Chris King):
To illustrate the nature of paradox and sexual division we shall first make a short digression into numbers and logical systems including how to bootstrap from nothing to an abnormal universe. Paradox, in terms of logically confounding, has a wider application. Another face of sexual paradox may lie in our incapacity to completely tie down descriptions of reality into fully-definable closed systems. Thus, logical systems are rather like open thermodynamic systems, which exchange information across their boundaries, and do not necessarily tend to a closed equilibrium. There is also a deep identity between logic and set theory, because the set operations are symbolic logic applied to the elements. Finally, mathematics, like quantum reality, contains two currents, typified by the discrete operations of algebra and combinatorics and the continuous properties of the functions and limit operations of calculus and topology. http://scigod.com/index.php/sgj/article/view/162
How the biological brain generates subjective consciousness remains the principal abyss in the scientific description of reality, a problem complementary to the cosmological theory of everything, and equally as challenging, because it takes the scientific model beyond the confines of objective reality. This paper examines the cosmological basis of consciousness and subjective experience in biological organisms. It draws on principles of symmetry-breaking and interactive non-linear dynamics to establish the cosmological status of biogenesis, and biological tissues as fractal forms of interactive symmetry-breaking. It then investigates the Archaean genetic expansion as a source of the envelope of functional machinery forming the basis of neural activity, based on the universal excitability of all living cells. Finally it examines the biophysical basis for consciousness, both in single cells, and in the human brain and its ‘Cartesian theatre’ of consciousness, to elucidate cosmological principles underlying the mind-body relationship.
The ‘Self-Aware’ ‘Emptiness’ of the Quantum-Epiontic Universe (by Graham P. Graham): http://jcer.com/index.php/jcj/article/view/198
A recent encounter with a quantum physicist has prompted me to examine the claims made by some interpreters of the work of Wojciech H. Zurek, and perhaps by Zurek himself – he does not seem to be clear on this point, that the quantum Darwinian approach to decoherence provides a means to establish the ‘objectivity’ of the classical world through the quantum ‘epiontic’ mechanism. A detailed and rigorous philosophical analysis of Zurek’s perspective indicates that the kind of objectivity provided by the quantum Darwinian physical-metaphysical perspective corresponds to what Bernard d’Espagnat terms ‘weak objectivity’, which is in fact a mixture of objectivity and subjectivity. Some of Zurek’s remarks seem to indicate that he thinks that his analysis undermines the ‘ultimate evidence’ that the classical world is entangled and dependent upon consciousness. However, a rigorous analysis shows that the opposite is the case; Zurek’s epiontic quantum Darwinian classical universe is ultimately dependent upon consciousness. I also indicate some remarkable points of contact with Buddhist metaphysics.
A fascinating hypothesis is made on the central role of serotonin as a guide, as the director of the phenomena that enable the best use of light by the plant world, the growth, the regulation of mood in the complex molecular interactions that characterize the varying levels of consciousness. This hypothesis supports the biological plausibility of the pace of creation written in the genesis by providing biological interpretations of the correspondence of creative steps, from light to man, passing through the vegetable and animal world. http://jcer.com/index.php/jcj/article/view/194
The Ising Model of Spin Interactions as an Oracle of Self-Organized Criticality, Fractal Mode-Locking & Power Law Statistics in Neurodynamics (by Chris King)
This short report highlights properties of fractality and self-organized criticality in the Ising model of ferromagnetism and how these ideas can be applied using wavelet transforms to comparisons with the study of self-organized criticality in neurodynamics. Matlab programs are provided to freely replicate the results. http://jcer.com/index.php/jcj/article/view/195
Sensory Transduction and Subjective Experience: Expression of eight genes in three senses suggests a radical model of consciousness (by Chris King)
Recent research into whole genome mapping of the mouse brain has made possible direct investigation of the brain expression of unusual genes. A search of the Allen Brain Atlas database has provided genetic and neuro-anatomical evidence for widespread specific expression in the brain of eight genes specific to sensory transduction, in vision, hearing and touch. A novel biophysical model is proposed for the function of these proteins, in generating the internal model of experiential reality. http://jcer.com/index.php/jcj/article/view/196
In this article the focus is on the hadron physics. The applications are to various anomalies discovered during years.
1. Application of the many-sheeted space-time concept in hadron physics. The many-sheeted space-time concept involving also the notion of field body can be applied to hadron physics to explain findings which are difficult to understand in the framework of standard model. The spin puzzle of proton is a two decades old mystery with no satisfactory explanation in QCD framework. The notion of hadronic space-time sheet which could be imagined as string like rotating object suggests a possible approach to the spin puzzle. The entanglement between valence quark spins and the angular momentum states of the rotating hadronic space-time sheet could allow natural explanation for why the average valence quark spin vanishes. The notion of Pomeron was invented during the Bootstrap era preceding QCD to solve difficulties of Regge approach. There are experimental findings suggesting the reincarnation of this concept. The possibility that the newly born concept of Pomeron of Regge theory might be identified as the sea of perturbative QCD in TGD framework is considered. Geometrically Pomeron would correspond to hadronic space-time sheet without valence quarks.
The discovery that the charge radius of proton deduced from the muonic version of hydrogen atom is about 4 per cent smaller than from the radius deduced from hydrogen atom is in complete conflict with the cherished belief that atomic physics belongs to the museum of science. The title of the article {\it Quantum electrodynamics-a chink in the armour?} of the article published in Nature expresses well the possible implications, which might actually go well extend beyond QED. TGD based model for the findings relies on the notion of color magnetic body carrying both electromagnetic and color fields and extends well beyond the size scale of the particle. This gives rather detailed constraints on the model of the magnetic body. The soft photon production rate in hadronic reactions is by an average factor of about four higher than expected. In the article soft photons assignable to the decays of $Z^0$ to quark-antiquark pairs. This anomaly has not reached the attention of particle physics which seems to be the fate of anomalies quite generally nowadays: large extra dimensions and black-holes at LHC are much more sexy topics of study than the anomalies about which both existing and speculative theories must remain silent. TGD based model is based on the notion of electric flux tube.
2. Quark gluon plasma
QCD predicts that at sufficiently high collision energies de-confinement phase transitions for quarks should take place leading to quark gluon plasma. In heavy ion collisions at RHIC something like this was found to happen. The properties of the quark gluon plasma were however not what was expected. There are long range correlations and the plasma seems to behave like perfect fluid with minimal viscosity/entropy ratio. The lifetime of the plasma phase is longer than expected and its density much higher than QCD would suggest. The experiments at LHC for proton proton collisions suggest also the presence of quark gluon plasma with similar properties. TGD suggests an interpretation in terms of long color magnetic flux tubes containing the plasma. The confinement to color magnetic flux tubes would force higher density. The preferred extremals of K\"ahler action have interpretation as defining a flow of perfect incompressible fluid and the perfect fluid property is broken only by the many-sheeted structure of space-time with smaller space-time sheets assignable to sub-$CD$s representing radiative corrections. The phase in question corresponds to a non-standard value of Planck constant: this could also explain why the lifetime of the phase is longer than expected.
Particle Massivation in TGD Universe (by Matti Pitkänen): http://prespacetime.com/index.php/pst/article/view/278
This article represents the most recent view about particle massivation in TGD framework. This topic is necessarily quite extended since many several notions and new mathematics is involved. Indeed, the calculation of particle masses involves five chapters of [11]. In the following my goal is to provide an up-to-date summary whereas the chapters are unavoidably a story about evolution of ideas.
The identification of the spectrum of light particles reduces to two tasks: the construction of massless states and the identification of the states which remain light in p-adic thermodynamics. The latter task is relatively straightforward. The thorough understanding of the massless spectrum requires however a real understanding of quantum TGD. It would be also highly desirable to understand why p-adic thermodynamics combined with p-adic length scale hypothesis works. A lot of progress has taken place in these respects during last years.
Zero energy ontology providing a detailed geometric view about bosons and fermions, the generalization of $S$-matrix to what I call $M$-matrix, the notion of finite measurement resolution characterized in terms of inclusions of von Neumann algebras, the derivation of p-adic coupling constant evolution and p-adic length scale hypothesis from the first principles, the realization that the counterpart of Higgs mechanism involves generalized eigenvalues of the modified Dirac operator: these are represent important steps of progress during last years with a direct relevance for the understanding of particle spectrum and massivation although the predictions of p-adic thermodynamics are not affected.
During 2010 a further progress took place. These steps of progress relate closely to zero energy ontology, bosonic emergence, the realization of the importance of twistors in TGD, and to the discovery of the weak form of electric-magnetic duality. Twistor approach and the understanding of the Chern-Simons Dirac operator served as a midwife in the process giving rise to the birth of the idea that all particles at fundamental level are massless and that both ordinary elementary particles and string like objects emerge from them. Even more, one can interpret virtual particles as being composed of these massless on mass shell particles assignable to wormhole throats so that four-momentum conservation poses extremely powerful constraints on loop integrals and makes them manifestly finite.
The weak form of electric-magnetic duality led to the realization that elementary particles correspond to bound states of two wormhole throats with opposite K\"ahler magnetic charges with second throat carrying weak isospin compensating that of the fermion state at second wormhole throat. Both fermions and bosons correspond to wormhole contacts: in the case of fermions topological condensation generates the second wormhole throat. This means that altogether four wormhole throats are involved with both fermions, gauge bosons, and gravitons (for gravitons this is unavoidable in any case). For p-adic thermodynamics the mathematical counterpart of string corresponds to a wormhole contact with size of order $CP_2$ size with the role of its ends played by wormhole throats at which the signature of the induced 4-metric changes. The key observation is that for massless states the throats of spin 1 particle must have opposite three-momenta so that gauge bosons are necessarily massive, even photon and other particles usually regarded as massless must have small mass which in turn cancels infrared divergences and give hopes about exact Yangian symmetry generalizing that of ${\cal N}=4$ SYM. Besides this there is weak "stringy" contribution to the mass assignable to the magnetic flux tubes connecting the two wormhole throats at the two space-time sheets.
TGD predicts a lot of new physics and it is quite possible that this new physics becomes visible at LHC. Although the calculational formalism is still lacking, p-adic length scale hypothesis allows to make precise quantitative predictions for particle masses by using simple scaling arguments. The basic elements of quantum TGD responsible for new physics are following.
The new view about particles relies on their identification as partonic 2-surfaces (plus 4-D tangent space data to be precise). This effective metric 2-dimensionality implies generalizaton of the notion of Feynman diagram and holography in strong sense. One implication is the notion of field identity or field body making sense also for elementary particles and the Lamb shift anomaly of muonic hydrogen could be explained in terms of field bodies of quarks. The topological explanation for family replication phenomenon implies genus generation correspondence and predicts in principle infinite number of fermion families. One can however develop a rather general argument based on the notion of conformal symmetry known as hyper-ellipticity stating that only the genera $g=0,1,2$ are light. What "light" means is however an open question. If light means something below $CP_2$ mass there is no hope of observing new fermion families at LHC. If it means weak mass scale, situation changes.
For bosons the implications of family replication phenomenon can be understood from the fact that they can be regarded as pairs of fermion and antifermion assignable to the opposite wormhole throats of wormhole throat. This means that bosons formally belong to octet and singlet representations of dynamical SU(3) for which 3 fermion families define 3-D representation. Singlet would correspond to ordinary gauge bosons. Also interacting fermions suffer topological condensation and correspond to wormhole contact. One can either assume that the resulting wormhole throat has the topology of sphere or that the genus is same for both throats.
The view about space-time supersymmetry differs from the standard view in many respects. First of all, the super symmetries are not associated with Majorana spinors. Super generators correspond to the fermionic oscillator operators assignable to leptonic and quark-like induced spinors and there is in principle infinite number of them so that formally one would have ${\cal N}=\infty$ SUSY. I have discussed the required modification of the formalism of SUSY theories and it turns out that effectively one obtains just ${\cal N}=1$ SUSY required by experimental constraints. The reason is that the fermion states with higher fermion number define only short range interactions analogous to van der Waals forces. Right handed neutrino generates this super-symmetry broken by the mixing of the $M^4$ chiralities implied by the mixing of $M^4$ and $CP_2$ gamma matrices for induced gamma matrices. The simplest assumption is that particles and their superpartners obey the same mass formula but that the p-adic length scale can be different for them.
One of the basic distinctions between TGD and standard model is the new view about color. The first implication is separate conservation of quark and lepton quantum numbers implying the stability of proton against the decay via the channels predicted by GUTs. This does not mean that proton would be absolutely stable. p-Adic and dark length scale hierarchies indeed predict the existence of scale variants of quarks and leptons and proton could decay to hadons of some zoomed up copy of hadrons physics. These decays should be slow and presumably they would involve phase transition changing the value of Planck constant characterizing proton. It might be that the simultaneous increase of Planck constant for all quarks occurs with very low rate. Also color excitations of leptons and quarks are in principle possible. Detailed calculations would be required to whether their mass scale is given by $CP_2$ mass scale. The so called leptohadron physics proposed to explain certain anomalies associated with both electron, muon, and $\tau$ lepton could be understood in terms of color octet excitations of leptons.
The new view about particle massivation involves besides p-adic thermodynamics also Higgs but there is no need to assume that Higgs vacuum expectation plays any role. The most natural option favored by the assumption that elementary bosons are bound states of massless elementary fermions, by twistorial considerations, and by the fact that both gauge bosons and Higgs form SU(2) triplet and singlet, predicts that also photon and other massless gauge bosons develop small mass so that all Higgs particles and their colored variants would disappear from spectrum. Same could happen for Higgsinos.
Fractal hierarchies of weak and hadronic physics labelled by p-adic primes and by the levels of dark matter hierarchy are highly suggestive. Ordinary hadron physics corresponds to $M_{107}=2^{107}-1$. One especially interesting candidate would be scaled up hadronic physics which would correspond to $M_{89}=2^{89}-1$ defining the p-adic prime of weak bosons. The corresponding string tension is about 512 GeV and it might be possible to see the first signatures of this physics at LHC. Nuclear string model in turn predicts that nuclei correspond to nuclear strings of nucleons connected by colored flux tubes having light quarks at their ends. The interpretation might be in terms of $M_{127}$ hadron physics. In biologically most interesting length scale range 10 nm-2.5 $\mu$m there are four Gaussian Mersennes and the conjecture is that these and other Gaussian Mersennes are associated with zoomed up variants of hadron physics relevant for living matter. Cosmic rays might also reveal copies of hadron physics corresponding to $M_{61}$ and $M_{31}$ Weak form of electric magnetic duality implies that the fermions and antifermions associated with both leptons and bosons are K\"ahler magnetic monopoles accompanied by monopoles of opposite magnetic charge and with opposite weak isospin. For quarks K\"ahler magnetic charge need not cancel and cancellation might occur only in hadronic length scale. The magnetic flux tubes behave like string like objects and if the string tension is determined by weak length scale, these string aspects should become visible at LHC. If the string tension is 512 GeV the situation becomes less promising.
In this article and the following article the predicted new physics and possible indications for it are discussed.
Overall View about TGD from Particle Physics Perspective (by Matti Pitkänen): http://prespacetime.com/index.php/pst/article/view/275
Topological Geometrodynamics is able to make rather precise and often testable predictions. In this and two other articles I want to describe the recent over all view about the aspects of quantum TGD relevant for particle physics. In the first article I will concentrate the heuristic picture about TGD with emphasis on particle physics. First I will represent briefly the basic ontology: the motivations for TGD and the notion of many-sheeted space-time, the concept of zero energy ontology, the identification of dark matter in terms of hierarchy of Planck constant which now seems to follow as a prediction of quantum TGD, the motivations for p-adic physics and its basic implications, and the identification of space-time surfaces as generalized Feynman diagrams and the basic implications of this identification.
Symmetries of quantum TGD are discussed. Besides the basic symmetries of the imbedding space geometry allowing to geometrize standard model quantum numbers and classical fields there are many other symmetries. General Coordinate Invariance is especially powerful in TGD framework allowing to realize quantum classical correspondence and implies effective 2-dimensionality realizing strong form of holography. Super-conformal symmetries of super string models generalize to conformal symmetries of 3-D light-like 3-surfaces and one can understand the generalization of Equivalence Principle in terms of coset representations for the two super Virasoro algebras associated with lightlike boundaries of so called causal diamonds defined as intersections of future and past directed lightcones ($CD$s) and with light-like 3-surfaces. Super-conformal symmetries imply generalization of the space-time supersymmetry in TGD framework consistent with the supersymmetries of minimal supersymmetric variant of the standard model. Twistorial approach to gauge theories has gradually become part of quantum TGD and the natural generalization of the Yangian symmetry identified originally as symmetry of ${\cal N}=4$ SYMs is postulated as basic symmetry of quantum TGD.
The so called weak form of electric-magnetic duality has turned out to have extremely far reaching consequences and is responsible for the recent progress in the understanding of the physics predicted by TGD. The duality leads to a detailed identification of elementary particles as composite objects of massless particles and predicts new electro-weak physics at LHC. Together with a simple postulate about the properties of preferred extremals of K\"ahler action the duality allows also to realize quantum TGD as almost topological quantum field theory giving excellent hopes about integrability of quantum TGD.
There are two basic visions about the construction of quantum TGD. Physics as infinite-dimensional K\"ahler geometry of world of classical worlds (WCW) endowed with spinor structure and physics as generalized number theory. These visions are briefly summarized as also the practical constructing involving the concept of Dirac operator. As a matter fact, the construction of TGD involves three Dirac operators. The K\"ahler Dirac equation holds true in the interior of space-time surface and its solutions havea natural interpretation in terms of description of matter, in particular condensed matter. Chern-Simons Dirac action is associated with the light-like 3-surfaces and space-like 3-surfaces at ends of space-time surface at light-like boundaries of $CD$. One can assign to it a generalized eigenvalue equation and the matrix valued eigenvalues correspond to the the action of Dirac operator on momentum eigenstates.
Momenta are however not usual momenta but pseudo-momenta very much analogous to region momenta of twistor approach. The third Dirac operator is associated with super Virasoro generators and super Virasoro conditions define Dirac equation in WCW. These conditions characterize zero energy states as modes of WCW spinor fields and code for the generalization of $S$-matrix to a collection of what I call $M$-matrices defining the rows of unitary $U$-matrix defining unitary process.
Twistor approach has inspired several ideas in quantum TGD during the last years and it seems that the Yangian symmetry and the construction of scattering amplitudes in terms of Grassmannian integrals generalizes to TGD framework. This is due to ZEO allowing to assume that all particles have massless fermions as basic building blocks. ZEO inspires the hypothesis that incoming and outgoing particles are bound states of fundamental fermions associated with wormhole throats. Virtual particles would also consist of on mass shell massless particles but without bound state constraint. This implies very powerful constraints on loop diagrams and there are excellent hopes about their finiteness. Twistor approach also inspires the conjecture that quantum TGD allows also formulation in terms of 6-dimensional holomorphic surfaces in the product $CP_3\times CP_3$ of two twistor spaces and general arguments allow to identify the partial different equations satisfied by these surfaces.