I am grateful for comments, criticism and suggestions. The following list gives table of contents for "TGD: Physics as Infinite-Dimensional Geometry". If You want, say chapter "Configuration Space Spinor Structure", as a .pdf file, just click on "Configuration Space Spinor Structure" in the table of contents. To help the reader to get overview I have included also a list of links to the chapters in the table of contents as well as corresponding abstracts.


PART I: p-Adic description of particle massivation
|| Overall view about TGD from particle physics perspective || The recent vision about preferred extremals and solutions of the modified Dirac equation||Elementary Particle Vacuum Functionals||Massless states and particle massivation|| p-Adic particle massivation: hadron masses ||Higgs or Something Else? ||SUSY in TGD Universe ||New Particle Physics Predicted by TGD: I||New Particle Physics Predicted by TGD: II||
PART II: p-Adic length scale hypothesis and dark matter hierarchy
|| Recent status of lepto-hadron hypothesis||TGD and Nuclear Physics||Nuclear String Hypothesis ||Dark Nuclear Physics and Condensed Matter ||Dark Forces and Living Matter ||Super-Conductivity in Many-Sheeted Space-Time||Quantum Hall effect and Hierarchy of Planck Constants
||A Possible Explanation of Shnoll Effect


  1. Basic ideas of TGD

    1. TGD as a Poincare invariant theory of gravitation

    2. TGD as a generalization of the hadronic string model

    3. Fusion of the two approaches via a generalization of the space-time concept

  2. The five threads in the development of quantum TGD

    1. Quantum TGD as configuration space spinor geometry

    2. p-Adic TGD

    3. TGD as a generalization of physics to a theory of consciousness

    4. TGD as a generalized number theory

    5. Dynamical quantized Planck constant and dark matter hierarchy

  3. Bird's eye of view about the contents of the book

  4. The contents of the book

    1. PART I: p-Adic description of particle massivation

    2. PART II: TGD and p-adic length scale hypothesis



    Overall View about TGD from Particle Physics Perspective

  1. Introduction

  2. Some aspects of quantum TGD

    1. New space-time concept

    2. Zero energy ontology

    3. The hierarchy of Planck constants

    4. p-Adic physics and number theoretic universality

  3. Symmetries of quantum TGD

    1. General Coordinate Invariance

    2. Generalized conformal symmetries

    3. Equivalence Principle and super-conformal symmetries

    4. Extension to super-conformal symmetries

    5. Space-time supersymmetry in TGD Universe

    6. Twistorial approach, Yangian symmetry, and generalized Feynman diagrams

  4. Weak form electric-magnetic duality

    1. Could a weak form of electric-magnetic duality hold true?

    2. Magnetic confinement, the short range of weak forces, and color confinement

  5. Quantum TGD very briefly

    1. Physics as infinite-dimensional geometry

    2. Physics as generalized number theory

    3. Questions

    4. Three Dirac operators and their interpretation

  6. The role of twistors in quantum TGD

    1. Could the Grassmannian program be realized in TGD framework?

    2. Could TGD alllow formulation in terms of twistors

  7. Finiteness of generalized Feynman diagrams zero energy ontology

    1. Virtual particles as pairs of on mass shell particles in ZEO

    2. Loop integrals are manifestly finite

    3. Taking into account magnetic confinement

Home Abstract

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

  1. Introduction

  2. About deformations of known extremals of K\"ahler action

    1. What might be the common features of the deformations of known extremals

    2. What small deformations of CP2 type vacuum extremals could be?

    3. Hamilton-Jacobi conditions in Minkowskian signature

    4. Deformations of cosmic strings

    5. Deformations of vacuum extremals?

    6. About the interpretation of the generalized conformal algebras

  3. Under what conditions electric charge is conserved for the modified Dirac equation?

    1. Conditions guaranteing the conservation of em charge

    2. Dirac equation in CP2 as a test bench

    3. How to satisfy the conditions guaranteeing the conservation of em charge?

    4. Could the solutions of the modified Dirac equation be restricted to 2-D surfaces?

    5. The algebra spanned by the modified Dirac operators

    6. Connection with the number theoretical vision about field equations

    7. Modification of the measurement interaction term

  4. Preferred extremals and solutions of the modified Dirac equation and super-conformal symmetries

    1. Super-conformal symmetries

    2. What is the role of the right-handed neutrino?

    3. WCW geometry and super-conformal symmetries

    4. Equivalence Principle

    5. Constraints from p-adic mass calculations and ZEO

    6. The emergence of Yangian symmetry and gauge potentials as duals of Kac-Moody currents

    7. Quantum criticality and electro-weak gauge symmetries

    8. The importance of being light-like

    9. Realization of large N SUSY in TGD

  5. Twistor revolution and TGD

    1. The emergence of 2-D sub-dynamics at space-time level

    2. The emergence of Yangian symmetry

    3. The analog of AdS5 duality in TGD framework

    4. Problems of the twistor approach from TGD point of view

    5. Realization of large N SUSY in TGD

    6. Could N=2 or N=4 SUSY be a part of TGD after all?

  6. M8-H duality, preferred extremals, criticality, and Mandelbrot fractals

    1. M8-H duality briefly

    2. The integrability conditions

    3. How to solve the integrability conditions and field equations for preferred extremals?

    4. Connection with Mandelbrot fractal and fractals as fixed sets for iteration

  7. Do geometric invariants of preferred extremals define topological invariants of space-time surface and code for quantum physics?

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

    2. Is there a connection between preferred extremals and AdS4/CFT correspondence?

    3. Generalizing Ricci flow to Maxwell flow for 4-geometries and K\"ahler flow for space-time surfaces

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

  8. Appendix: Hamilton-Jacobi structure

    1. Hermitian and hyper-Hermitian structures

    2. Hamilton-Jacobi structure


    Elementary particle vacuum functionals

  1. Introduction

    1. First series of questions

    2. Second series of questions

    3. The notion of elementary particle vacuum functional

  2. Identification of elementary particles

    1. Elementary fermions and bosons

    2. Graviton and other stringy states

    3. Spectrum of non-stringy states

  3. Basic facts about Riemann surfaces

    1. Mapping class group

    2. Teichmueller parameters

    3. Hyper-ellipticity

    4. Theta functions

  4. Elementary particle vacuum functionals

    1. Extended Diff invariance and Lorentz invariance

    2. Conformal invariance

    3. Diff invariance

    4. Cluster decomposition property

    5. Finiteness requirement

    6. Stability against the decay g --> g1+g2

    7. Stability against the decay g --> g-1

    8. Continuation of the vacuum functionals to higher genus topologies

  5. Explanations for the absence of the g>2 elementary particles from spectrum

    1. Hyper-ellipticity implies the separation of g≤ 2 and g>2 sectors to separate worlds

    2. What about g> 2 vacuum functionals which do not vanish for hyper-elliptic surfaces?

    3. Should higher elementary particle families be heavy?

    4. Could higher genera have interpretation as many-particle states?

  6. Elementary particle vacuum functionals for dark matter

    1. Connection between Hurwitz zetas, quantum groups, and hierarchy of Planck constants?

    2. Hurwitz zetas and dark matter


    Massless States and Particle Massivation

  1. Introduction

    1. Physical states as representations of super-symplectic and Super Kac-Moody algebras

    2. Particle massivation

    3. What next?

  2. Identification of elementary particles

    1. Partons as wormhole throats and particles as bound states of wormhole contacts

    2. Family replication phenomenon topologically

  3. Non-topological contributions to particle masses from p-adic thermodynamics

    1. Partition functions are not changed

    2. Fundamental length and mass scales

    3. Color degrees of freedom

    4. Spectrum of elementary particles

    5. Probabilistic considerations

  4. Modular contribution to the mass squared

    1. Conformal symmetries and modular invariance /p>

    2. The physical origin of the genus dependent contribution to the mass squared

    3. Generalization of Θ functions and quantization of p-adic moduli

    4. The calculation of the modular contribution Δh to the conformal weight

  5. General mass formulas for non-Higgsy contributions

    1. General mass squared formula

    2. Color contribution to the mass squared

    3. Modular contribution to the mass of elementary particle

    4. Thermal contribution to the mass squared

    5. The contribution from the deviation of ground state conformal weight from negative integer

    6. General mass formula for Ramond representations

    7. General mass formulas for NS representations

    8. Primary condensation levels from p-adic length scale hypothesis

  6. Fermion masses

    1. Charged lepton mass ratios

    2. Neutrino masses

    3. Quark masses

  7. Higgsy aspects of particle massivation

    1. Can p-adic thermodynamics explain the masses of intermediate gauge bosons?

    2. How TGD based description of particle massivation relates to Higgs mechanism


    p-Adic Particle Massivation: Hadron Masses

  1. Introduction

    1. Construction of U and D matrices

    2. Observations crucial for the model of hadron masses

    3. A possible model for hadron

  2. Quark masses

    1. Basic mass formulas

    2. The p-adic length scales associated with quarks and quark masses

    3. Are scaled up variants of quarks also there?

  3. Topological mixing of quarks

    1. Mixing of the boundary topologies

    2. The constraints on U and D matrices from quark masses

    3. Constraints from CKM matrix

  4. Construction of U, D and CKM matrices

    1. The constraints from CKM matrix and number theoretical conditions

    2. How strong mumber theoretic conditions one can pose on U and D matrices

    3. Could rational unitarity make sense?

    4. The parametrization suggested by the mass squared conditions

    5. Thermodynamical model for the topological mixing

    6. U and D matrices from the knowledge of top quark mass alone?

  5. Hadron masses

    1. The definition of the model for hadron masses

    2. The anatomy of hadronic space-time sheet

    3. Pseudoscalar meson masses

    4. Baryonic mass differences as a source of information

    5. Color magnetic spin-spin splitting

    6. Color magnetic spin-spin interaction and super-canonical contribution to the mass of hadron

    7. Summary about the predictions for hadron masses

    8. Some critical comments


    Higgs Or Something Else?

  1. Introduction

    1. Why Higgs is not needed?

    2. Why Higgs like particle is needed?

  2. How TGD based description of particle massivation relates to Higgs mechanism?

    1. The identification of Higgs

    2. Do all gauge bosons possess small mass?

    3. Weak Regge trajectories

    4. Is the earlier conjectured pseudoscalar Higgs there at all?

    5. Higgs issue after Europhysics 2011

  3. Higgs and me

    1. Denying Higgs

    2. Could Higgs exist after all?

    3. Return to Higgs denialism

  4. Higgs or M89 hadron physics?

    1. The new data about Higgs candidate

    2. Higgs or M89 hadron physics?

    3. Similarities and differences between Higgs and pion like state

    4. Is it really Higgs?

  5. Is it really Higgs?

    1. Background

    2. M89 hadron physics instead of Higgs?

    3. About the microscopic description of gauge boson massivation

    4. Could Higgs mechanism provide a description of p-adic particle massivation at QFT limit?

    5. Low mass exotic mesonic structures as evidence for dark scaled down variants of weak bosons?

    6. Cautious conclusions

  6. Two options for Higgs like states in TGD framework

    1. Two options concerning the interpretation of Higgs like particle in TGD framework

    2. Microscopic description of gauge bosons and Higgs like and meson like states

    3. Trying to understand the QFT limit of TGD

    4. To deeper waters

    5. Higgs-like state according to TGD after HCP2012

    6. About the basic assumptions behind p-adic mass calculations

  7. Appendix: The particle spectrum predicted by TGD

    1. The general TGD based view about elementary particles

    2. Construction of single fermion states

    3. About the construction of mesons and elementary bosons in TGD Universe

    4. What SUSY could mean in TGD framework?


    SUSY in TGD Universe

  1. Introduction

  2. A concise view about SUSY phenomenology in TGD inspired Universe

    1. Super-conformal invariance and generalized space-time supersymmetry

    2. Induced spinor structure and purely geometric breaking of SUSY

    3. p-Adic length scale hypothesis and breaking of SUSY by a selection of p-adic length scale

  3. What do experiments say about the situation?

    1. Experimental situation

    2. Do X and Y mesons provide evidence for color excited quarks or squarks?

    3. Strange trilepton events at CMS

    4. CMS observes large diphoton excess

  4. Understanding of the role of right-handed neutrino in supersymmetry

    1. Basic vision

    2. What is the role of the right-handed neutrino?

    3. The impact from LHC and evolution of TGD itself

    4. Conclusions

  5. Could N=2 or N=4 SYM be a part of TGD after all?

    1. Scattering amplitudes and the positive Grassmannian

    2. Could N=2 or N= 4 SUSY have something to do with TGD?

    3. Right-handed neutrino as inert neutrino?


    New Particle Physics Predicted by TGD: Part I

  1. Introduction

  2. Family replication phenomenon

    1. Family replication phenomenon for bosons

    2. Higher gauge boson families

    3. The physics of M-M* systems forces the identificaiton of vertices as branchings of partonic 2-surfaces

  3. Dark matter in TGD Universe

    1. Dark matter and energy in TGD Universe

    2. Shy positrons

    3. Dark matter puzzle

    4. AMS results about dark matter

  4. Scaled variants of quarks and leptons

    1. Fractally scaled up versions of quarks

    2. Could neutrinos appear in several p-adic mass scales?

  5. Scaled variants of hadron physics and weak bosons

    1. Leptohadron physics

    2. First evidence for M89 hadron physics

    3. Other indications for M89 hadron physics

    4. LHC might have produced new matter: are M89 hadrons in question?

    5. Anomalous like sign dimuons at LHC?

    6. Dark nucleons and genetic code

    7. Has IceCube detected neutrinos coming from decays of p-adically scaled up copies of weak bosons?

  6. QCD and TGD

    1. How the TGD based notion of color differs from QCD color

    2. Basic differences between QCD and TGD

    3. p-Adic physics and strong interactions

    4. Magnetic flux tubes and and strong interactions

    5. Exotic pion like states: "infra-red" Regge trajectories or Shnoll effect?

  7. Cosmic rays and Mersenne primes

    1. Mersenne primes and mass scales

    2. Cosmic strings and cosmic rays

    3. Centauro type events, Cygnus X-3 andM89 hadrons

    4. TGD based explanation of the exotic events

    5. Cosmic ray spectrum and exotic hadrons

    6. Ultrahigh energy cosmic rays as super-symplectic quanta?


    New Particle Physics Predicted by TGD: Part II

  1. Introduction

    1. Application of the many-sheeted space-time concept in hadron physics

    2. Quark gluon plasma

    3. Breaking of discrete symmetries

    4. Are exotic Super Virasoro representations relevant for hadron physics?

  2. New space-time concept applied to hadrons

    1. A new twist in the spin puzzle of proton

    2. Topological evaporation and the concept of Pomeron

    3. The incredibly shrinking proton

    4. Explanation for the soft photon excess in hadron production

  3. Simulating Big Bang in laboratory

    1. Experimental arrangement and findings

    2. TGD based model for the quark-gluon plasma

    3. Further experimental findings and theoretical ideas

    4. Are ordinary black-holes replaced with super-symplectic black-holes in TGD Universe?

    5. Very cautious conclusions

    6. Five years later

    7. Evidence for TGD view about QCD plasma

  4. Breaking of discrete symmetries

    1. Experimental inputs

    2. Discrete symmetries in zero energy ontology

    3. An attempt to build a concrete model for the breaking of discrete symmetries

  5. TGD based explanation for the anomalously large direct CP violation in K→ 2π decay

    1. How to solve the problems in TGD framework

    2. Basic notations and concepts

    3. Separation of short and long distance physics using operator product expansion

  6. Wild speculations about non-perturbative aspects of hadron physics and exotic Super Virasoro representations

    1. Exotic Super-Virasoro representations

    2. Could hadrons correspond to exotic Super-Virasoro representations and quark-gluon plasma to the ordinary ones?

  7. Appendix

    1. Effective Feynman rules and the effect of top quark mass on the effective action

    2. U and D matrices from the knowledge of top quark mass alone?

  8. Figures and Illustrations



    Recent Status of Lepto-Hadron Hypothesis

  1. Introduction

  2. Lepto-hadron hypothesis

    1. Anomalous e+e- pairs in heavy ion collisions

    2. Lepto-pions and generalized PCAC hypothesis

    3. Lepto-pion decays and PCAC hypothesis

    4. Lepto-pions and weak decays

    5. Orto-positronium puzzle and lepto-pion in photon photon scattering

    6. Spontaneous vacuum expectation of lepto-pion field as source of lepto-pions

    7. Sigma model and creation of lepto-hadrons in electromagnetic fields

    8. Classical model for lepto-pion production

    9. Quantum model for lepto-pion production

  3. Further developments

    1. How to observe leptonic color?

    2. New experimental evidence

    3. Experimental evidence for τ-hadrons

    4. Dark matter puzzle

    5. Has Pamela observed evidence for the non-dark electropion of M89 leptohadron physics?}

    6. Could lepto-hadrons be replaced with bound states of exotic quarks?

    7. About the masses of lepto-hadrons

    8. Do X and Y mesons provide support for color excited quarks?


    1. Evaluation of leptopion production amplitude

    2. Production amplitude in quantum model

    3. Numerical evaluation of the production amplitudes

    4. Evaluation of the singular parts of the amplitudes


    TGD and Nuclear Physics

    1. Introduction

      1. p-Adic length scale hierarchy

      2. TGD based view about dark matter

      3. The identification of long range classical weak gauge fields as correlates for dark massless weak bosons

      4. Dark color force as a space-time correlate for the strong nuclear force?

      5. Tritium beta decay anomaly

      6. Cold fusion and Trojan horse mechanism

    2. Model for the nucleus based on exotic quarks

      1. The notion of color bond

      2. Are the quarks associated with color bonds dark or p-adically scaled down quarks?

      3. Electro-weak properties of exotic and dark quarks

      4. About the energetics of color bonds

      5. How strong isospin emerges?

      6. How to understand the emergence of harmonic oscillator potential and spin-orbit interaction?

      7. Binding energies and stability of light nuclei

      8. Strong correlation between proton and neutron numbers and magic numbers

      9. A remark about stringy description of strong reactions

    3. Neutron halos, tetra-neutron, and "sticky toffee" model of nucleus

      1. Tetraneutron

      2. The formation of neutron halo and TGD

      3. The "sticky toffee" model of Chris Illert for alpha decays

    4. Tritium beta decay anomaly

      1. Could TGD based exotic nuclear physics explain tritium beta decay anomaly?

      2. The model based on dark neutrinos

      3. Some other apparent anomalies made possible by dark neutrinos

    5. Cold fusion and Trojan horse mechanism

      1. Exotic quarks and charged color bonds as common denominator of anomalous phenomena

      2. The experiments of Ditmire et al

      3. Brief summary of cold fusion

      4. TGD inspired model of cold fusion

      5. Do nuclear reaction rates depend on environment?


    Nuclear String Hypothesis

    1. Introduction

      1. A>4 nuclei as nuclear strings consisting of A≤ 4 nuclei

      2. Bose-Einstein condensation of color bonds as a mechanism of nuclear binding

      3. Giant dipole resonance as de-coherence of Bose-Einstein condensate of color bonds

    2. Some variants of the nuclear string hypothesis

      1. Could linking of nuclear strings give rise to heavier stable nuclei?

      2. Nuclear strings as connected sums of shorter nuclear strings?

      3. Is knotting of nuclear strings possible?

    3. Could nuclear strings be connected sums of alpha strings and lighter nuclear strings?

      1. Does the notion of elementary nucleus make sense?

      2. Stable nuclei need not fuse to form stable nuclei

      3. Formula for binding energy per nucleon as a test for the model

      4. Decay characteristics and binding energies as signatures of the decomposition of nuclear string

      5. Are magic numbers additive?

      6. Stable nuclei as composites of lighter nuclei and necessity of tetraneutron?

      7. What are the building blocks of nuclear strings?

    4. Light nuclei as color bound Bose-Einstein condensates of 4He nuclei

      1. How to explain the maximum of EB for iron?

      2. Scaled up QCD with Bose-Einstein condensate of 4He nuclei explains the growth of EB

      3. Why EB decreases for heavier nuclei?

    5. What QCD binds nucleons to A≤ 4 nuclei?

      1. The QCD associated with nuclei lighter than 4He

      2. The QCD associated with 4He

      3. What could be the general mass formula?

      4. Nuclear strings and cold fusion

      5. Strong force as a scaled and dark electro-weak force?

    6. Giant dipole resonance as a dynamical signature for the existence of Bose-Einstein condensates?

      1. De-coherence at the level of 4He nuclear string

      2. De-coherence inside 4He nuclei

      3. De-coherence inside A=3 nuclei and pygmy resonances

      4. De-coherence and the differential topology of nuclear reactions

    7. Cold fusion, plasma electrolysis, biological transmutations, and burning salt water

      1. The data

      2. H1.5O anomaly and nuclear string model

      3. A model for the observations of Mizuno

      4. Comparison with the model of deuterium cold fusion

      5. What happens to OH bonds in plasma electrolysis?

      6. A model for plasma electrolysis

      7. Comparison with the reports about biological transmutations

      8. Are the abundances of heavier elements determined by cold fusion in interstellar medium?

      9. Tests and improvements

      10. GSI anomaly

      11. New evidence for anomalies of radio-active decay rates

    8. Dark nuclear strings as analogs of DNA-, RNA- and amino-acid sequences and baryonic realization of genetic code?

      1. States in the quark degrees of freedom

      2. States in the flux tube degrees of freedom

      3. Analogs of DNA, RNA, aminoacids, and of translation and transcription mechanisms

      4. Understanding the symmetries of the code

      5. Some comments about the physics behind the code

Home Abstract

    Dark Nuclear Physics and Condensed Matter

  1. Introduction

    1. Dark rules

    2. Implications

  2. A generalization of the notion of imbedding space as a realization of the hierarchy of Planck constants

    1. Hierarchy of Planck constants and the generalization of the notion of imbedding space

    2. Could the dynamics of Kähler action predict the hierarchy of Planck constants?

  3. General ideas about dark matter

    1. Hierarchy of Planck constants and the generalization of the notion of imbedding space

    2. How the scaling of hbar affects physics and how to detect dark matter?

    3. General view about dark matter hierarchy and interactions between relatively dark matters

    4. How dark matter and visible matter interact?

    5. Could one demonstrate the existence of large Planck constant photons using ordinary camera or even bare eyes?

    6. Dark matter and exotic color and electro-weak interactions

    7. Anti-matter and dark matter

  4. Dark variants of nuclear physics

    1. Constraints from the nuclear string model

    2. Constraints from the anomalous behavior of water

    3. Exotic chemistries and electromagnetic nuclear darkness

  5. Has dark matter been observed?

    1. Optical rotation of a laser beam in magnetic field

    2. Do nuclear reaction rates depend on environment?

    3. Refraction of gamma rays from silicon prism?

  6. Water and new physics

    1. The 41 anomalies of water

    2. The model

    3. Comments on 41 anomalies

    4. Burning salt water by radio-waves and large Planck constant

  7. Connection with mono-atomic elements, cold fusion, and sonofusion?

    1. Mono-atomic elements as dark matter?

    2. Connection with cold fusion?

    3. Connection with sono-luminescence and sono-fusion?

    4. Does Rossi's reactor give rise to cold fusion?

  8. The TGD variant of the model of Widom and Larsen for cold fusion

    1. Challenges of the model

    2. TGD variant of the model

  9. Dark atomic physics

    1. From naive formulas to conceptualization

    2. Dark atoms

    3. Dark cyclotron states

    4. Could q-Laguerre equation relate to the claimed fractionation of the principal quantum number for hydrogen atom?

    5. Shy positrons

Home Abstract

    Dark Forces and Living Matter

  1. Introduction

    1. Evidence for long range weak forces and new nuclear physics

    2. Dark rules

    3. Dark weak forces and almost vacuum extremals

  2. Weak form electric-magnetic duality and color and weak forces

    1. Could a weak form of electric-magnetic duality hold true?

    2. Magnetic confinement, the short range of weak forces, and color confinement

    3. Weak form of electric magnetic duality, screening of weak charges, and color confinement?

  3. Dark matter hierarchy, genetic machinery, and the un-reasonable selectivity of bio-catalysis

    1. Dark atoms and dark cyclotron states

    2. Spontaneous decay and completion of dark fractional -atoms as basic mechanisms of bio-chemistry

    3. The new view about hydrogen bond and water

  4. TGD based model of cell membrane as sensory receptor

    1. Could cell correspond to almost vacuum extremal?

    2. A general model of qualia and sensory receptor

    3. Detailed model for the qualia

    4. Overall view about qualia

    5. About detailed identification of the qualia

  5. Could photosensitive emulsions make dark matter visible?

    1. The findings

    2. The importance of belief system

    3. Why not tachyonic monopoles?

    4. Interpretation as dark matter structures becoming visible in presence of living matter


    Super-Conductivity in Many-Sheeted Space-Time

  1. Introduction

    1. General ideas about super-conductivity in many-sheeted space-time

    2. TGD inspired model for high Tc superconductivity

  2. General TGD based view about super-conductivity

    1. Basic phenomenology of super-conductivity

    2. Universality of the parameters in TGD framework

    3. Quantum criticality and super-conductivity

    4. Space-time description of the mechanisms of super-conductivity

    5. Super-conductivity at magnetic flux tubes

  3. TGD based model for high Tc super conductors

    1. Some properties of high Tc super conductors

    2. TGD inspired vision about high Tc superconductivity


    Quantum Hall effect and Hierarchy of Planck Constants

  1. Introduction

    1. Abelian and non-Abelian anyons

    2. TGD based view about FQHE

  2. Fractional Quantum Hall effect

    1. Basic facts about FQHE

    2. The model of FQHE based on composite fermions

  3. About theories of quantum Hall effect

    1. Quantum Hall effect as a spontaneous symmetry breaking down to a discrete subgroup of the gauge group

    2. Witten-Chern-Simons action and topological quantum field theories

    3. Chern-Simons action for anyons

    4. Topological quantum computation using braids and anyons

  4. Updated view about the hierarchy of Planck constants

    1. Basic physical ideas

    2. Space-time correlates for the hierarchy of Planck constants

    3. Basic phenomenological rules of thumb in the new framework

    4. Charge fractionalization and anyons

    5. What about the relationship of gravitational Planck constant to ordinary Planck constant?

    6. Summary

  5. Quantum Hall effect, charge fractionalization, and hierarchy of Planck constants

    1. General description of the anyonic phase

    2. Basic aspects of FQHE


    A Possible Explanation of Shnoll Effect

  1. Introduction

  2. p-Adic topology and the notion of canonical identification

    1. Canonical identification

    2. Estimate for the p-adic norm of factorial

  3. Arguments leading to the identification of the deformed Poisson distribution

    1. The naive modification of Poisson distribution based on canonical identification fails

    2. Quantum integers as a solution of the problems

  4. Explanation for the findings of Shnoll

    1. The basic characteristics of the distributions

    2. The temporal and spatial dependence of the distributions

  5. Hierarchy of Planck constants allows small-p p-adicity

    1. Estimate for the value of Planck constant

    2. Is dark matter at the space-time sheets mediating gravitational interaction involved?

  6. Conclusions



  1. Basic properties of CP2

    1. CP2 as a manifold

    2. Metric and Kähler structures of CP2

    3. Spinors in CP2

    4. Geodesic sub-manifolds of CP2

  2. CP2 geometry and standard model symmetries

    1. Identification of the electro-weak couplings

    2. Discrete symmetries

  3. Basic facts about induced gauge fields

    1. Induced gauge fields for space-times for which CP2 projection is a geodesic sphere

    2. Space-time surfaces with vanishing em, Z0, or Kähler fields

  4. p-Adic numbers and TGD

    1. p-Adic number fields

    2. Canonical correspondence between p-adic and real numbers

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