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more from Matti Pitkanen is on the /Pitkanen.htm page at doc pdf URL
note: because important websites are frequently "here today but gone tomorrow", the following was archived from on 11/28/2016. This is NOT an attempt to divert readers from the aforementioned website. Indeed, the reader should only read this back-up copy if the updated original cannot be found at the original author's site.
what's new in "Towards M-Matrix"
Dr. Matti Pitkänen
Postal address:
Köydenpunojankatu 2 D 11
10940, Hanko, Finland
E-mail:
URL-address:
(former address:)
"Blog" forum:
Book Abstract:doc pdf URL CompleteBook: URL URL-bkup
Cosmological term in twistor action makes Kähler coupling genuine coupling parameter also classically (11/24/2016)
Still about induced spinor fields and TGD counterpart for Higgs (10/09/2016)
What happens to the extremals of Kähler action when volume term is introduced? (09/22/2016).
How the hierarchy of Planck constants might relate to the almost vacuum degeneracy for twistor lift of TGD (08/30/2016).
Does GRT really allow gravitational radiation? (08/23/2016).
Eigenstates of Yangian co-algebra generators as a manner to generate maximal entanglement? (08/18/2016).
Could N=2 Super-Conformal Algebra Be Relevant For TGD? (04/05/2016).
Tensor networks and S-matrices (03/19/2016).
Twistor googly problem transforms from a curse to blessing in TGD framework (4.3. 2016).
Could M4 Kähler form introduce new gravitational physics? (26.2. 2016).
Cosmic evolution of the radius of the radius of the fiber of the twistor space of space-time surface (10.2. 2016).
Twistorial approach and connection with General Relativity (8.2. 2016).
From Principles to Diagrams (6.2. 2016).
Is non-associative physics and language possible only in many-sheeted space-time? (13.12. 2015).
Does Riemann Zeta Code for Generic Coupling Constant Evolution? (19.11. 2015).
Algebraic universality and the value of Kähler coupling strength (18.9. 2015).
Field equations as conservation laws, Frobenius integrability conditions, and a connection with quaternion analyticity (25.8. 2015).
Could one define dynamical homotopy groups in WCW? (20.8. 2015).
The relation between U- and M-matrices (26.5.2015)
Could the Universe be doing Yangian quantum arithmetics? (21.3.2015)
Is the formation of gravitational bound states impossible in superstring models? (8.3.2015)
Updated view about Kähler geometry of WCW (8.3.2015)
Permutations, braidings, and amplitudes (25.2. 2014).
What about non-planar diagrams? (24.2. 2014).
About the twistorial description of light-likeness in 8-D sense using octonionic spinors (22.2. 2014).
Witten's twistor string approach and TGD (17.2.2015)
Could quaternion analyticity make sense for the preferred extremals? (13.2.2015)
Are Euclidian regions of preferred extremals quaternion-Kähler manifolds? (11.2.2015)
Surface area as geometric representation of entanglement entropy? (7.2.2015)
A more detailed view about the construction of scattering amplitudes (4.2.2015)
What could be the TGD counterpart of SUSY (26.1.2015)
The vanishing of conformal charges as a gauge conditions selecting preferred extremals of Kähler action (19.11.2015)
Positivity of N=4 scattering amplitudes from number theoretical universality? (6.11.2015)
Twistor spaces as TGD counterparts of Calabi-Yau manifolds of superstring models (21.12.2014)
Classical TGD and imbedding space twistors (21.12.2014)
Classical part of twistor story (21.12.2014)
Classical field theory and TGD: does TGD reduce to number theory?(02/09/2014)
General ideas about octonions, quaternions, and twistors(02/01/2014)
Recent View about Kähler Geometry and Spin Structure of "World of Classical Worlds(01/13/2014)
Scattering amplitudes in positive Grassmannian: TGD perspective(09/21/2013)
A little comment about the hierarchy of Planck constants(09/17/2013)
What could 4-fermion twistor amplitudes look like?(09/05/2013)
About the SUSY generated by covariantly constant right-handed neutrinos(09/03/2013)
Some fresh ideas about twistorialization of TGD(08/21/2013)
Still about non-planar twistor diagrams(02/21/2013)
Trying to understand the QFT limit of TGD(11/17/2012)
How the effective hierarchy of Planck constants could reveal itself in condensed matter physics(10/07/2012)
Fresh view about hyper-finite factors in TGD framework(09/28/2012)
Updated view about the hierarchy of Planck constants(09/09/2012)
Still one more attempt to understand generalized Feynman diagrams(09/07/2012)
How quaternicity of space-time could be consistent with Hermitian/Hamilton-Jacobi structure(07/09/2012)
The recent vision about preferred extremals and solutions of the modified Dirac equation(07/09/2012)
Anatomy of quantum jump in Zero Energy Ontology(01/26/2012)
Very Special Relativity(01/18/2012)
Number theoretical universality and quantum arithmetics, renormalization, and relation of TGD to N=4 SYM(01/16/2012)
Proposal for a twistorial description of generalized Feynman graphs(01/14/2012)
Quark-gluon plasma in the TGD Universe(12/04/2011)
Duality between hadronic and partonic descriptions of hadron physics(12/01/2011)
Algebraic braids, sub-manifold braid theory, and generalized Feynman diagrams(11/20/2011)
Is Kähler action expressible in terms of areas of minimal surfaces?(10/19/2011)
About the structure of the Yangian algebra(08/24/2011)
Reducing non-planar diagrams to planar ones by a generalization of algorithm for calculating knot invariant(07/072011)
Categorification and finite measurement resolution(06/15/2011)
Possible role of Beltrami flows and symplectic invariance in the description of gauge and gravitational interactions(06/06/2011)
Objection against Zero Energy Ontology and Quantum-Classical Correspondence(04/26/2011)
Summary about breakthrough in the construction of U-matrix and understanding of twistorialization(03/24/2011)
Universal formula for the Hermitian square roots of density matrix(03/23/2011)
Master formula for U-matrix finally found?(03/18/2011)
Comparing Twistor revolution with TGD revolution(02/01/2011)
Unitarity in TGD variant of Grassmannian twistor approach(10/04/2010)
Yangian symmetry, twistors, and TGD(10/01/2010)
A comment about formulation of TGD in the product of twistor space and its dual(09/23/2010)
M4×CP2 from pairs of twistors and twistorial formulation of TGD(09/20/2010)
Exact Yangian symmetry, non-trivial scattering amplitudes, no IR singularities -- only a dream?(09/17/2010)
What could be the generalization of Yangian symmetry of N=4 SYM in TGD framework?(09/02/2010)
Considerable progress in generalized Feynman diagrammatics(05/23/2010)
How to perform WCW integrations in generalized Feynman diagrams(05/21/2010)
Weak form of electric-magnetic duality, particle concept, and Feynman diagrammatics(05/09/2010)
What one really means with virtual particle?(01/23/2009)
Is the QFT type description of gravitational interactions possible?(11/15/2009)
QFT Limit of TGD and Space-Time SuperSymmetry(11/12/2009)
Is the perturbation theory based on TGD inspired definition of super-fields UV finite?(11/05/2009)
Space-Time supersymmetry and TGD(11/03/2009)
Octonionic approach to the modified Dirac equation(10/10/2009)
What are the basic equations of Quantum-TGD?(09/30/2009)
Handful of problems with a common resolution(09/20/2009)
The latest vision about the role of hyper-finite factors in TGD(09/17/2009)
About M-matrix and Connes tensor product(09/08/2009)
Could one generalize the notion of twistor to 8-D case using the notion of triality?(07/11/2009)
QFT limit of TGD: summary about how ideas have evolved(06/29/2009)
p-Adicization, twistor program, and quantum criticality(06/24/2009)
Sigh of relief(04/26/2009)
Emergent boson propagators, fine structure constant, and hierarchy of Planck constants\overline(03/15/2009)
Still about the emergence of bosonic propagators and vertices(03/12/2009)
Twistors and TGD: a summary(03/03/2009)
Bootstrap approach to obtain a unitary S-matrix(03/01/2009)
Are light-like loop momenta consistent with unitarity?(03/29/2009)
Could one regard space-time surfaces as surfaces in twistor space?(03/25/2009)
Could one lift Feynman diagrams to twistor space? (03/17/3.2009)
Twistors, N=4 super-conformal symmetry, and TGD (03/16/2009)
Vision about quantization of Planck constant (01/19/2009)
Could operads allow the formulation of the generalized Feynman rules? (10/27/2008)
New Chapter (10/21/2008)
Category theory and symplectic QFT (10/21/2008)
Category theory and Quantum-TGD: possible other applications (07/10/2008)
Category theory and Quantum-TGD: generalized Feyman diagrams and generalized planar operads (07/10/2008)
Category theory and Quantum-TGD: 2-plectic structures and generalized Feynman diagrams as categories (07/10/2008)
The relationship between super-canonical and Super Kac-Moody algebras, Equivalence Principle, and justification of p-adic thermodynamics (06/27/2008)
Still more details about M-matrix (06/18/2008)
What goes wrong with string theories? (06/14/2008)
Could a symplectic analog of conformal field theory be relevant for Quantum-TGD? (03/16/2008)
Infinite primes and algebraic Brahman=Atman identity (07/05/2008)
Configuration space gamma matrices as hyper-octonion valued conformal fields having values in HFF? (05/07/2008)
How quantum classical correspondence is realized at parton level? (02/09/2008)
How p-adic coupling constant evolution and p-adic length scale hypothesis emerge from Quantum-TGD proper? (02/07/2008)
One element field, quantum measurement theory and its q-variant, and the Galois fields associated with infinite primes (12/11/2007)
The Lie-algebra of symmetries of M-matrix forms an infinite-dimensional Jordan algebra (11/21/2007)
Connes tensor product and perturbative expansion in terms of generalized braid diagrams (10/22/2007)
Number theoretic braids and global view about anti-commutations of induced spinor fields (10/22/2007)
About the definition of the action of included zero energy algebra in positive/negative energy algebra (10/16/2007)
How uniquely Connes tensor product determines the M-matrix? (10.13/2007)
Geometric view about Higgs mechanism (10/07/2007)
Does Connes tensor product fix the allowed M-matrices? (10/01/2007)
Fractional Quantum Hall effect in TGD framework (1.10/01/2007)
A further generalization of the notion of imbedding space (09/21/2007)
Does the quantization of Kähler coupling strength reduce to the quantization of Chern-Simons coupling at partonic level? (06/26/2007)
Zero energy ontology and Witten's approach to 3-D quantum gravitation (06/24/2007)
S-matrix as a functor and the groupoid like structure formed by S-matrices (06/20/2007)
Farey sequences, Riemann Hypothesis, tangles, and TGD (06/14/2007)
Dark matter hierarchy corresponds to a hierarchy of quantum critical systems in modular degrees of freedom (06/05/2007)
TGD Universe allows only 3 fermion families! (05/04/2007)
Connection between Hurwitz zetas, quantum groups, and hierarchy of Planck constants? (05/03/2007)
Time-like entanglement coefficients as a square root of density matrix? (05/02/2007)
About the construction of S-matrix (05/31/2007)
Quantum Quandaries (05/17/2007)
Sierpinski topology and quantum measurement theory with finite measurement resolution (05/102007)
About microscopic description of dark matter (05/06/2007)
Could also gauge bosons correspond to wormhole contacts? (03/27/2007)
Inner automorphisms of hyper-finite factors as universal local gauge symmetries? (03/22/2007)
Planar algebras and generalized Feynman diagrams (03/21/2007)
TGD Universe from the condition that all possible statistics are possible (03/15/2007)
About the construction of vertices (03/11/2007)
Hyper-Finite Factors and Construction of S-matrix (02/27/2007)
Jones inclusions and the construction of S-matrix and U-matrix (02/16/2007)
Very Special Relativity and TGD (01/22/2007)
Galois groups, Jones inclusions, and infinite primes (01/02/2007)
Could local zeta functions take the role of Riemann Zeta in TGD framework? (01/02/2007)
Quantum fluctuations and Jones inclusions (12/07/2006)
Do EPR-Bohm experiments provide evidence for fuzzy quantum states? (12/06/2006)
Quantum quantum mechamics and quantum S-matrix (12/06/2006)
How induced spinor field and imbedding space coordinates can become non-commutative and the origin of braids (12/06/2006)
Still a little correction to the quantization of Planck constants (11/08/2006)
Magnetic bodies and hierarchy of Planck constants (10/20/2006)
Truth about quantization of Planck constants (10/08/2006)
Comments about p-adic mass calculations (10/08/2006)
About the identification of Kac Moody algebra and corresponding Virasoro algebra (10/08/2006)
Quantization of the modified Dirac action (10/01/2006)
Do also the zeros of Riemann poly-zeta relate to quantum criticality? (08/08/2006)
Zeros of Riemann Zeta as conformal weights, braids, Jones inclusions, and number theoretical universality of Quantum-TGD (08/19/2006)
Do nuclear reaction rates depend on environment? (08/09/2006)
Some problems of TGD as almost-topological QFT and their resolution (08/06/2006)
Has dark matter been observed? (08/04/2006)
TGD as almost topological conformal field theory (07/15/2006)
Super Kac-Moody symmetry and TGD as an almost topological super-conformal field theory (9/07/2006)
N=4 SCA as basic symmetry of TGD and the basic mistake of M-theory(06/27/2006)
Jones inclusions, the large N limit of SU(N) gauge theories, and AdS/CFT correspondence (06/20/2006)
Summary about the steps leading to the construction of S-matrix (06/11/2006)
Stringy form for amplitudes for the generation of zero energy states from vacuum emerges from Virasoro conditions for zero energy states (06/07/2006)
S-matrix for the scattering of zero energy states representing ordinary scattering events as a solution to the problems? (05/29/2006)
Physical states are zero energy states: an ontology consistent with the existing world view? (05/29/2006)
S-matrix for the scattering of zero energy states representing ordinary scattering events as a solution to the problems? (05/29/2006)
More detailed view about 2-D factorizing S-matrices as the building blocks of a realistic S-matrix (05/28/2006)
Could S-matrix be expressed in terms of 2-D factorizing S-matrices? (05/25/2006)
Tree-like structure for the imbedding space (05/24/2006)
Precise definition of the notion of unitarity for Connes tensor product (05/24/2006)
Does the quantization of Planck constant transform integer Quantum Hall Effect to fractional quantum Hall effect? (05/18/2006)
Large values of Planck constant and coupling constant evolution (05/16/2006)
Could the basic parameters of TGD be fixed by a number theoretical miracle? (05/13/2006)
New results in planetary Bohr orbitology (05/10/2006)
Connes tensor product as universal interaction, quantization of Planck constant, McKay correspondence, etc... (05/08/2006)
Von Neumann inclusions, quantum group, and quantum model for beliefs(04/25/2006)
Does TGD reduce to inclusion sequence of number theoretic von Neumann algebras? (04/24/2006)
Book Abstract:doc pdf URL CompleteBook: URL URL-bkup
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