What's new in

Towards M-Matrix: Part I

Note: Newest contributions are at the top!

Year 2023

An explicit formula for M⁸-H duality(23.8. 2023).

Do Yangians and Galois confinement provide M⁸-H dual approaches to the construction of the many-particle states?(12.8. 2023).

Gravitational memory and the possible almost universal failure of perturbation theory to converge(8.8. 2023).

Double slit experiment in time domain from the TGD perspective(2.8. 2023).

New findings related to the number theoretical view of TGD(27.4. 2023).

Is Negentropy Maximization Principle needed as an independent principle?(23.2. 2023).

Questions related to ZEO and causal diamonds(6.2. 2023).

New result about causal diamonds from the TGD point of view(26.1. 2023).

About the selection of the action defining the Kähler function of the "world of classical worlds" (WCW)(18.1. 2023).

Year 2022

About the TGD based notions of mass, of twistors and hyperbolic counterpart of Fermi torus (25.9. 2022).

Are space-time boundaries possible in the TGD framework? (21.9. 2022).

Trying to fuse the basic mathematical ideas of quantum TGD to a single coherent whole (30.8. 2022).

Closed membrane like structures as minimal surfaces in TGD (22.1. 2022).

Homology of "world of classical worlds" in relation to Floer homology and quantum homology (14.2. 2022).

Year 2021

Evolution of Kähler coupling strength (4.8. 2021).

Minimal value of h_{eff from the ratio of CP₂ mass and Planck mass}(4.8. 2021).

What could 2-D minimal surfaces teach about TGD?(27.6. 2021).

Some questions related to coupling constant evolution(18.6. 2021).

Some questions concerning Zero Energy Ontology (10.6. 2021).

A chordate able to regrow all of its organs if dissected into three pieces (31.5. 2021).

The idea of Connes about inherent time evolution of certain algebraic structures from TGD point of view(25.3. 2021).

Zero energy states as scattering amplitudes and subjective time evolution as sequence of SSFRs(13.3. 2021).

Still one question about M⁸-H duality(11.3. 2021).

Is analysis as cognitive process analogous to scattering?(26.2. 2021).

Is M⁸-H duality consistent with Fourier analysis at the level of M⁴× CP₂?(25.2. 2021).

Can one regard leptons as effectively local 3-quark composites? (17.2. 2021).

Negentropy Maximization Principle and Second Law(19.1. 2021).

Year 2020

Breakthrough in the understanding of M⁸-H duality(6.12. 2020).

Three basic pillars of new quantum theory provided by TGD(2.12. 2020).

Could Kähler metric replace unitary S-matrix?(30.11. 2020).

Ballistic resonance and zero energy ontology (16.7. 2020).

Skyrmions in TGD (16.6. 2020).

How the life cycle of self could corresponds to a transition to chaos as iteration of polynomial? (9.6. 2020).

The relationship of TGD view about consciousness to computationalism(8.6. 2020).

About p-adic length scale hypothesis and dark matter hierarchy (28.5. 2020).

Rejuvenation and zero energy ontology (12.5. 2020).

When does "big" state function reduction as universal death and re-incarnation with reversed arrow of time take place? (5.5. 2020).

Could brain be represented by a hyperbolic geometry?(30.4. 2020).

Could ZEO provide a new approach to the quantization of fermions?(22.4. 2020).

New particle not predicted by standard model discovered?(10.3. 2020).

The dynamics of SSFRs as quantum measurement cascades in the group algebra of Galois group(20.2 2020).

Still about quantum measurement theory in ZEO(24.12. 2020).

Year 2019

A possible paradox related to zero energy ontology(23.12. 2019).

The relationship between p-adic time and discrete flow of geometric time defined by quantum jumps(26.11. 2019).

Some comments related to Zero Energy Ontology (ZEO)(18.10. 2019).

But can one calculate anything?(31.8. 2019).

The recent view about SUSY in TGD Universe(30.8. 2019).

Could metaplectic group has some role in TGD framework?(18.7. 2019).

What extensions of rationals could be winners in the fight for survival?(14.7. 2019)

Trying to understand why ramified primes are so special physically(14.7. 2019)

Libet's paradoxical findings and strange findings about state function reduction in atomic scales(7.7. 2019)

Copenhagen interpretation dead: long live ZEO based quantum measurement theory(5.6. 2019)

M⁸-H Duality and Consciousness(2.6. 2019)

Twistor lift of TGD and WCW geometry(1.5. 2019).

Does ZEO allow overunity energy production?(18.2. 2019).

A connection of singularities of minimal surfaces with generation of Higgs vacuum expectation?(13.2. 2019).

Space-time surfaces as Kähler calibrations: an idea before its time?(13.2. 2019).

Twistors in TGD and unexpected connection with Veneziano duality(13.2. 2019).

Some comments about classical conservation laws in Zero Energy Ontology(30.1. 2019).

About gauge bosons and their decay vertices in TGD framework(27.1. 2019).

More about the construction of scattering amplitudes in TGD framework(24.1. 2019).

About TGD counterparts of classical field configurations in Maxwell's theory(21.1. 2019).

Generalized conformal symmetry, quantum criticality, catastrophe theory, and coupling constant evolution(13.1.2019)

Solution of renormalization group equation for flux tubes having minimum string tension and RG evolution in terms of Riemann zeta(2.1.2019)

Reduction of coupling constant evolution to that of cosmological constant(1.11.2019)

Year 2018

Still about twistor lift of TGD(6.12.2018)

Twistor lift for 2-D objects(30.11.2018)

Cosmological constant in TGD and in superstring models(24.10.2018)

TGD View about Coupling Constant Evolution(4.10.2018)

How could Planck length be actually equal to much larger CP₂ radius?!(24.8.2018)

Are space-time surfaces minimal surfaces everywhere except at 2-D interaction vertices?(10.8.2018)

Three dualities at the level of field equations(10.8.2018)

Solution of Hubble constant discrepancy from the length scale dependence of cosmological constant(15.7. 2018)

New insights about quantum criticality for twistor lift inspired by analogy with ordinary criticality(18.4. 2018)

Complex 8-momenta are necessary for the realization of massless many-particle states implying unitary without loops(7.4. 2018)

Connection between quaternionicity and causality(22.3. 2018)

Could functional equation and Riemann hypothesis generalize?(11.3. 2018)

Considerations related to coupling constant evolution and Riemann zeta(9.3. 2018)

General ideas about coupling constant evolution(7.3. 2018)

Summary about twistorialization in TGD framework(6.3. 2018)

The Recent View about Twistorialization in TGD Framework(5.3. 2018)

Year 2017

Could McKay correspondence generalize in TGD framework?(4.7. 2017)

About McKay and Langlands correspondences in TGD framework(25.6. 2017)

Are higher structures needed in the categorification of TGD?(14.6. 2017)

Could categories, tensor networks, and Yangians provide the tools for handling the complexity of TGD?(27.5. 2017)

Getting even more quantitative about CP violation(21.4. 2017)

About some unclear issues of TGD(1.4.2017)

Getting quantitative about breaking of CP, P, and T (20.3.2017)

Is there a duality between associative and co-associative space-time surfaces? (19.3.2017)

About the generalization of dual conformal symmetry and Yangian in TGD (18.3.2017)

About unitarity for scattering amplitudes (8.3.2017)

Kerr effect, breaking of T symmetry, and Kähler form of M⁴ (7.3.2017)

Key ideas related to the twistor lift of TGD (6.3.2017)

Issues related to the precise formulation of twistor lift of TGD (5.3.2017)

What causes the CP breaking? (5.3.2017)

Criticizing the TGD based twistorial construction of scattering amplitudes(2.3.2017)

Two observations about twistor lift of Kähler action(28.2.2017)

Some Questions Related to the Twistor Lift of TGD(22.2.2017)

A new view about color, color confinement, and twistors(13.2.2017)

How does the twistorialization at imbedding space level emerge?(10.2.2017)

Twistor lift and the reduction of field equations and SH to holomorphy(8.2.2017)

More details about the induction of twistor structure(2.2.2017)

Questions about TGD(7.1.2017)

Some questions related to the twistor lift of TGD(1.1.2017)

Year 2016

Non-commutative imbedding space and strong form of holography(30.12.2016)

Minimal surface cosmology(12.12.2016)

LIGO blackhole anomaly and minimal surface model for star(12.12.2016)

Minimal surface counterpart of Reissner-Nordstöm solution(11.12.2016)

How to build TGD space-time from legos?(6.12.2016)

Can one apply Occam's razor as a general purpose debunking argument to TGD?(6.12.2016)

Delicacies of the induced spinor structure and SUSY mystery(6.12.2016)

About minimal surface extremals of Kähler action(1.12.2016)

Cosmological term in twistor action makes Kähler coupling genuine coupling parameter also classically(24.11.2016)

Still about induced spinor fields and TGD counterpart for Higgs(9.10.2016)

What happens to the extremals of Kähler action when volume term is introduced?(22.9. 2016).

About twistor lift of TGD(30.8. 2016).

Does GRT really allow gravitational radiation?(23.8. 2016).

Eigenstates of Yangian co-algebra generators as a manner to generate maximal entanglement?(18.8. 2016).

Could N=2 Super-Conformal Algebra Be Relevant For TGD?(5.4. 2016).

Tensor networks and S-matrices(19.3. 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).

Year 2015

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)

Year 2014

Twistor spaces as TGD counterparts of Calabi-Yau manifolds of super string models(21.12.2014)

Classical TGD and imbedding space twistors(21.12.2014)

Classical part of twistor story(21.12.2014)

Class field theory and TGD: does TGD reduce to number theory?(9.2. 2014).

General ideas about octonions, quaternions, and twistors(1.2. 2014).

Recent View about Kähler Geometry and Spin Structure of "World of Classical Worlds(13.1. 2014).

Year 2013

Scattering amplitudes in positive Grassmannian: TGD perspective(21.9. 2013).

A little comment about the hierarchy of Planck constants(17.9. 2013).

What could 4-fermion twistor amplitudes look like?(5.9. 2013).

About the SUSY generated by covariantly constant right-handed neutrinos(3.9. 2013).

Some fresh ideas about twistorialization of TGD(21.8. 2013).

Still about non-planar twistor diagrams(21.2. 2013).

Year 2012

Could N=2 or N=4 SUSY have something to do with TGD?(31.12. 2012).

Scattering amplitudes and positive Grassmannian(31.12. 2012).

Is there a connection between preferred extremals and AdS₄/CFT correspondence?(11.12. 2012).

Could correlation functions, S-matrix, and coupling constant evolution be coded the statistical properties of preferred extremals?(10.12. 2012).

Preferred extremals of Kähler action as manifolds with constant Ricci scalar whose geometric invariants are topological invariants(5.12.2012).

Trying to understand the QFT limit of TGD (17.11.2012)

How the effective hierarchy of Planck constants could reveal itself in condensed matter physics? (7.10.2012)

Fresh view about hyper-finite factors in TGD framework (28.9.2012)

Updated view about the hierarchy of Planck constants (9.9.2012)

Still one attempt to understand generalized Feynman diagrams (7.9.2012)

How quaternicity of space-time could be consistent with Hermitian/Hamilton-Jacobi structure? (9.7.2012)

The recent vision about preferred extremals and solutions of the modified Dirac equation (9.7.2012)

Anatomy of quantum jump in zero energy ontology(26.1.2012).

Very Special Relativity(18.1.2012).

Number theoretical universality and quantum arithmetics, renormalization, and relation of TGD to N=4 SYM(16.1.2012).

Proposal for a twistorial description of generalized Feynman graphs(14.1.2012).

Year 2011

Quark-gluon plasma in TGD Universe(4.12.2011).

Duality between hadronic and partonic descriptions of hadron physics(1.12.2011).

Algebraic braids, sub-manifold braid theory, and generalized Feynman diagrams(20.11.2011).

Is Kähler action expressible in terms of areas of minimal surfaces?(19.10.2011).

About the structure of the Yangian algebra(24.8.2011).

Reducing non-planar diagrams to planar ones by a generalization of algorithm for calculating knot invariant(7.7.2011).

Categorification and finite measurement resolution(15.6.2011).

Possible role of Beltrami flows and symplectic invariance in the description of gauge and gravitational interactions(6.6.2011).

Objection against zero energy ontology and quantum classical correspondence(26.4.2011).

Summary about breakthrough in the construction of U-matrix and understanding of twistorialization(24.3.2011).

Universal formula for the hermitian square roots of density matrix(23.3.2011).

Master formula for U-matrix finally found?(18.3.2011).

Comparing twistor revolution with TGD revolution(1.2.2011).

Year 2010

Unitarity in TGD variant of Grassmannian twistor approach(4.10.2010).

Yangian symmetry, twistors, and TGD(1.10.2010).

A comment about formulation of TGD in the product of twistor space and its dual(23.9.2010).

M⁴×CP₂ from pairs of twistors and twistorial formulation of TGD(20.9.2010).

Exact Yangian symmetry, non-trivial scattering amplitudes, no IR singularities: only a dream?(17.9.2010).

What could be the generalization of Yangian symmetry of N=4 SYM in TGD framework?(2.9.2010).

Considerable progress in generalized Feynman diagrammatics(23.5.2010).

How to perform WCW integrations in generalized Feynman diagrams?(21.5.2010).

Weak form of electric-magnetic duality, particle concept, and Feynman diagrammatics(9.5.2010).

Year 2009

What one really means with virtual particle?(23.1.2009).

Is the QFT type description of gravitational interactions possible? (15.11.2009)

QFT Limit of TGD and Space-Time Super-Symmetry (12.11.2009)

Is the perturbation theory based on TGD inspired definition of super-fields UV finite? (5.11.2009)

Space-time super-symmetry and TGD (3.11.2009)

Octonionic approach to the modified Dirac equation (10.10.2009)

What are the basic equations of quantum TGD?(30.9.2009)

Handful of problems with a common resolution(20.9.2009)

The latest vision about the role of hyper-finite factors in TGD(17.9.2009)

About M-matrix and Connes tensor product (8.9.2009)

Could one generalize the notion of twistor to 8-D case using the notion of triality? (11.7.2009)

QFT limit of TGD: summary about how ideas have evolved (29.6.2009)

p-Adicization, twistor program, and quantum criticality(24.6.2009)

Sigh of relief (26.4.2009)

Emergent boson propagators, fine structure constant, and hierarchy of Planck constants\overline (15.3.2009)

Still about the emergence of bosonic propagators and vertices (12.3.2009)

Twistors and TGD: a summary (3.3.2009)

Bootstrap approach to obtain a unitary S-matrix (1.3.2009)

Are light-like loop momenta consistent with unitarity? (29.3.2009)

Could one regard space-time surfaces as surfaces in twistor space? (25.3.2009)

Could one lift Feynman diagrams to twistor space? (17.3.2009)

Twistors, N=4 super-conformal symmetry, and TGD (16.3.2009)

Vision about quantization of Planck constant (19.1.2009)

Year 2008

Could operads allow the formulation of the generalized Feynman rules?(27.10.2008)

New chapter(21.10.2008)

Category theory and symplectic QFT(21.10.2008)

Category theory and quantum TGD: possible other applications(7.10.2008)

Category theory and quantum TGD: generalized Feyman diagrams and generalized planar operads(7.10.2008)

Category theory and quantum TGD: 2-plectic structures and generalized Feynman diagrams as categories(7.10.2008)

The relationship between super-canonical and Super Kac-Moody algebras, Equivalence Principle, and justification of p-adic thermodynamics(27.6.2008)

Still more details about M-matrix (18.6.2008)

What goes wrong with string theories? (14.6.2008)

Could a symplectic analog of conformal field theory be relevant for quantum TGD? (13.6.2008)

Infinite primes and algebraic Brahman=Atman identity (7.5.2008)

Configuration space gamma matrices as hyper-octonion valued conformal fields having values in HFF? (7.5.2008)

How quantum classical correspondence is realized at parton level? (9.2.2008)

How p-adic coupling constant evolution and p-adic length scale hypothesis emerge from quantum TGD proper? (7.2.2008)

Year 2007

One element field, quantum measurement theory and its q-variant, and the Galois fields associated with infinite primes (11.12.2007)

The Lie-algebra of symmetries of M-matrix forms an infinite-dimensional Jordan algebra (21.11.2007)

Connes tensor product and perturbative expansion in terms of generalized braid diagrams (22.10.2007)

Number theoretic braids and global view about anti-commutations of induced spinor fields (22.10.2007)

About the definition of the action of included zero energy algebra in positive/negative energy algebra (16.10.2007)

How uniquely Connes tensor product determines the M-matrix? (13.10.2007)

Geometric view about Higgs mechanism (7.10.2007)

Does Connes tensor product fix the allowed M-matrices? (1.10.2007)

Fractional Quantum Hall effect in TGD framework (1.10.2007)

A further generalization of the notion of imbedding space (21.9.2007)

Does the quantization of Kähler coupling strength reduce to the quantization of Chern-Simons coupling at partonic level? (26.6.2007)

Zero energy ontology and Witten's approach to 3-D quantum gravitation (24.6.2007)

S-matrix as a functor and the groupoid like structure formed by S-matrices (20.6.2007)

Farey sequences, Riemann Hypothesis, tangles, and TGD (14.6.2007)

Dark matter hierarchy corresponds to a hierarchy of quantum critical systems in modular degrees of freedom (5.6.2007)

TGD Universe allows only three fermion families! (4.5.2007)

Connection between Hurwitz zetas, quantum groups, and hierarchy of Planck constants? (3.5.2007)

Time-like entanglement coefficients as a square root of density matrix? (2.5.2007)

About the construction of S-matrix (31.5.2007)

Quantum Quandaries (17.5.2007)

Sierpinski topology and quantum measurement theory with finite measurement resolution (10.5.2007)

About microscopic description of dark matter (6.5.2007)

Could also gauge bosons correspond to wormhole contacts? (27.3.2007)

Inner automorphisms of hyper-finite factors as universal local gauge symmetries? (22.3.2007)

Planar algebras and generalized Feynman diagrams (21.3.2007)

TGD Universe from the condition that all possible statistics are possible (15.3.2007)

About the construction of vertices (11.3.2007)

Hyper-Finite Factors and Construction of S-matrix (27.2.2007)

Jones inclusions and the construction of S-matrix and U-matrix (16.2.2007)

Very Special Relativity and TGD (22.1.2007)

Galois groups, Jones inclusions, and infinite primes (2.1.2007)

Could local zeta functions take the role of Riemann Zeta in TGD framework? (2.1.2007)

Year 2006

Quantum fluctuations and Jones inclusions (7.12.2006)

Do EPR-Bohm experiments provide evidence for fuzzy quantum states? (6.12.2006)

Quantum quantum mechamics and quantum S-matrix (6.12.2006)

How induced spinor field and imbedding space coordinates can become non-commutative and the origin of braids (6.12.2006)

Still a little correction to the quantization of Planck constants (8.11.2006)

Magnetic bodies and hierarchy of Planck constants (20.10.2006)

Truth about quantization of Planck constants (8.10.2006)

Comments about p-adic mass calculations (8.10.2006)

About the identification of Kac Moody algebra and corresponding Virasoro algebra (8.10.2006)

Quantization of the modified Dirac action (1.10.2006)

Do also the zeros of Riemann poly-zeta relate to quantum criticality? (8.8.2006)

Zeros of Riemann Zeta as conformal weights, braids, Jones inclusions, and number theoretical universality of quantum TGD (19.8.2006)

Do nuclear reaction rates depend on environment? (9.8.2006)

Some problems of TGD as almost-topological QFT and their resolution (6.8.2006)

Has dark matter been observed? (4.8.2006)

TGD as almost topological conformal field theory (15.7.2006)

Super Kac-Moody symmetry and TGD as an almost topological super-conformal field theory (9.7.2006)

N=4 SCA as basic symmetry of TGD and the basic mistake of M-theory (27.6.2006)

Jones inclusions, the large N limit of SU(N) gauge theories, and AdS/CFT correspondence (20.6.2006)

Summary about the steps leading to the construction of S-matrix (11.6.2006)

Stringy form for amplitudes for the generation of zero energy states from vacuum emerges from Virasoro conditions for zero energy states (7.6.2006)

S-matrix for the scattering of zero energy states representing ordinary scattering events as a solution to the problems? (29.5.2006)

Physical states are zero energy states: an ontology consistent with the existing world view? (29.5.2006)