I am grateful for comments, criticism and suggestions. The following list gives table of contents for "Quantum TGD". If You want, say chapter "Construction of Quantum Theory", as a .pdf file, just click on "Construction of Quantum Theory" 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.


||Introduction||Quantum Theory of Self-Organization|| About the Possible Role of p-Adic Numbers in Bio-Systems||Biological Realization of Self-Hierarchy|| Quantum Control and Coordination in Bio-Systems: Part I||Quantum Control and Coordination in Bio-Systems: Part II|| ||Appendix||



  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

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

    7. Contents of the book

      1. Quantum Theory of Self-Organization

      2. About the Possible Role of p-Adic Numbers in Bio-Systems

      3. Biological Realization of Self-Hierarchy

      4. Quantum Control and Coordination in Bio-Systems: Part I

      5. Quantum Control and Coordination in Bio-Systems: Part II

Home Abstract

    Quantum theory of self-organization

  1. Introduction

    1. Quantum jump as the basic step of self-organization process

    2. The notion of self

    3. Self as a statistical ensemble

    4. Self organization as quantum level phenomenon

  2. Quantum theory of self organization

    1. Basic characteristics of self-organization

    2. Self-organization as organization of self hierarchies

    3. Dissipation and quantum jumps between quantum histories concept

    4. Co-operativity, long range correlations, zero modes and quantum entanglement

    5. Many-sheeted space-time concept and self-organization

    6. Infinite primes and self-organization

    7. Illness as a failure to self-organize properly?

  3. Haken's theory of self-organization

    1. Haken's theory of non-equilibrium phase transitions

    2. Pattern recognition in Haken's theory

  4. Non-equilibrium thermodynamics and quantum TGD

    1. Spin glass analogy

    2. Maxima of the Kähler function as reduced configuration space CH(red)

    3. The concept of quantum average effective space-time

    4. Haken, Thom, Penrose and Hameroff

    5. Classical gravitation and quantum jumps

    6. A quantum model for perception and reaction

    7. Are proteins quantum spin glass type systems?

    8. Cognitive evolution as self-organization of association sequences

    9. Brain as self-organizing quantum spin glass

    10. About the notion of quantum criticality in TGD framework

  5. Could TGD provide justification for Rupert Sheldrake's ideas?

    1. Sheldrake's theory

    2. TGD based interpretation of morphic fields and collective memory

  6. Sheldarake's morphic fields and TGD biew about quantum biology

    1. Habits of Nature

    2. TGD inspired quantum biology

  7. Some considerations relating to the dynamics of quasicrystals

    1. The non-determinism for the dynamics of quasicrystals contra non-determinism of K\"ahler action

    2. The dynamics of quasicrystals as a model for fundamental dynamics or high level symbolic dynamics?

    3. Could ordered water layers around biomolecules be modelled as quasicrystal like structure?

    4. What could be the variational principle behind self-organization?

    5. Could quasi-lattices and quasi-chrystals could emerge from the notion of p-adic manifold?

Home Abstract

    About the Possible Role of p-Adic Numbers in Bio-Systems

  1. Introduction

  2. General vision about fusion of real and p-adic physics

    1. p-Adic mass calculations as original motivation for p-adic physics

    2. Questions raised by the success of p-adic thermodynamics

    3. Zero energy ontology and p-adic length scale hypothesis

    4. How to fuse p-adic and real physics

    5. p-Adic physics and consciousness

    6. p-Adic length scale hypothesis and bio-systems

  3. How preferred p-adic primes could be determined?

    1. Earlier attempts

    2. Could preferred primes characterize algebraic extensions of rationals?

    3. A connection with Langlands program?

    4. A connection with infinite primes?

  4. p-Adic ultrametricty and bio-systems

    1. Spin glasses and ultrametricity

    2. p-Adic ultrametricity

    3. p-Adic ultrametricity and information processing in bio-systems

  5. p-Adic non-determinism and bio-systems

    1. Could p-adic differential equations simulate quantum jump sequence?

    2. Information filtering and p-adics

  6. p-Adic probabilities and bio-systems

    1. Does p-adic probability apply only to cognition

    2. Is small-p p-adic statistics possible

    3. The concept of monitoring

  7. p-Adic probabilities and bio-systems

    1. Does p-adic probability apply only to cognition

    2. Is small-p p-adic statistics possible

    3. The concept of monitoring

  8. Is small-p p-adicity possible?

    1. Small-p p-adicity and hydrodynamics

    2. -adic psychophysics?

    3. Small-p p-adicity in bio-systems and psychophysics

  9. Is small-p p-adicity possible?

  10. Are p-adic length scales assignable to twin primes special?

Home Abstract

    Biological realization of self hierarchy

  1. Introduction

    1. The notions of self and self hierarchies

    2. Selves self-organize

    3. Mind like space-time sheets as massless extremals

    4. Hierarchy of super-conducting magnetic flux tube and electret structures

    5. Living matter as symbiosis of MEs, super-conducting magnetic flux tube structures, electrets and ordinary matter

    6. TGD Based View About Dark Matter

  2. Many-sheeted space-time concept and living systems

    1. Topological field quantization

    2. Bio-system as a topological condensate with several important space-time sheets

    3. Topological field quantization and dark matter hierarchy

    4. Topological field quantization and vacuum quantum numbers

    5. Vacuum quantum numbers as carriers of biological information

    6. Super-canonical representations and quantum holograms

    7. Many-sheeted space-time concept and living matter

    8. Self-referentiality and space-time topology

  3. Realization of the lower levels of biological self hierarchy

    1. General ideas about biological self hierarchy

    2. Criteria for being biologically significant self

    3. Possible interpretation for the system formed by DNA and proteins

    4. Proteins as selves and protein folding

    5. Larger selves formed by proteins

    6. Identifying our sensory sub-selves in p-adic length scale hierarchy

    7. Hardware for body consciousness

  4. p-Adic length scale hypothesis and evolution

    1. How to apply p-adic length scale hypothesis?

    2. Are also Gaussian primes and Eisenstein primes important?

    3. p-Adic length scale hypothesis and molecular evolution

    4. Evolution of the cellular structures

    5. p-Adic length scale hypothesis and neural evolution

  5. Higher level in biological self hierarchy

    1. Support for the notion magnetic body

    2. Some functions of magnetic body

    3. The magnetic fields associated with body parts and higher levels of consciousness

Home Abstract

    Quantum Control and Coordination in Bio-Systems: Part I

  1. Introduction

    1. Quantum criticality as a prerequisite for quantum control

    2. p-Adic evolution

    3. Self-hierarchy, quantum self-organization, and dissipation as a Darwinian selector

    4. The prerequisites for macro-temporal quantum coherence

    5. Topological field quantization

    6. Important empirical inputs and overall view

    7. Quantum coordination and control and the hierarchy of MEs, magnetic super conductors, electrets and bio-matter

  2. Bio-systems as macroscopic quantum systems

    1. \# contacts as a macroscopic quantum system?

    2. Do micro-tubuli act as quantum antennae?

    3. Classical Z0 force, neutrinos and chirality selection

    4. Are bio-systems super-conductors?

    5. Are all magnetic transition frequencies important for the understanding of conscious experience?

    6. Massless extremals

  3. Many-sheeted space-time concept and topological aspects of quantum control

    1. How bio-systems might apply the many-sheeted space-time concept?

    2. Particle transfer and re-distribution of gauge fluxes between space-time sheets as a control tool in bio-systems?

    3. Motor control performed by field body

    4. Scaling law of homeopathy and the role of microwaves in homeostasis

    5. Bio-systems as conscious holograms

  4. Quantum tools for bio-control and -coordination

    1. Many-sheeted ionic flow equilibrium as a fundamental control mechanism

    2. Self-hierarchy and hierarchy of weakly coupled super conductors

    3. General mechanism making possible biological clocks and alarm clocks, comparison circuits and novelty detectors

    4. Biological quantum control circuits

    5. A quantitative model for the bio-control performed by \# contact BE condensate

    6. Model for weakly coupled wormhole super conductors

  5. TGD and biochemistry

    1. Macro-temporal quantum coherence and molecular sex

    2. Organic polymers as topological field quanta

    3. Organic molecules as super-conductors

    4. Bio-catalysis and TGD

    5. TGD inspired model for the unwinding and replication of DNA

  6. TGD and morphogenesis

    1. Topological field quantization and vacuum quantum numbers

    2. Vacuum quantum number changing phase transitions and morphogenesis

    3. Vacuum quantum numbers and the size of the organ

    4. Phase transitions changing the values of the vacuum quantum numbers

    5. Biological alarm clocks and morphogenesis

    6. Could vacuum quantum numbers control gene expression via Josephson currents

Home Abstract

    Quantum Control and Coordination in Bio-Systems: Part II

  1. Introduction

    1. Absolute minimization of Kähler action, thermodynamics, and biology

    2. Time mirror mechanism as a fundamental mechanism transforming intentions to actions

    3. Electrets and scalar waves of Tesla

    4. Ideas related to dark matter and living matter

  2. Absolute minimization of Kähler action, second law of thermodynamics, and bio-systems

    1. Field equations

    2. Could Lorentz force vanish identically for all extremals/absolute minima of Kähler action?

    3. Topologization of the Kähler current as a solution to the generalized Beltrami condition

    4. How to satisfy field equations?

    5. Is absolute minimization of Kähler action equivalent with the topologization/light-likeness of Kähler current and second law?

    6. Generalized Beltrami fields and biological systems

  3. The scalar waves of Tesla, bio-systems as electrets, and electric-magnetic duality

    1. The properties of the scalar waves

    2. Could nonlinearity of TGD allow scalar waves?

    3. Lowest order solution ansatz

    4. First order corrections to the solution ansatz

    5. Properties of the solution ansatz

    6. More general solutions representing electric field of constant action density are possible

  4. Time mirror mechanism

    1. Scalar wave pulses as producers of phase conjugate waves and time mirror mechanism

    2. Bio-systems and unipolar pulses

    3. Sensory perception, motor action, and time mirror mechanism

  5. Did Tesla discover how to change the arrow of time?

    1. Do negative energy space-time sheets have counterparts in quantum field theory?

    2. Pulses, Tesla transformers, and bi-filar coils

    3. Sharp pulses as producers of phase conjugate waves

    4. About the new physics associated with bi-filar coils

    5. Does the model explain the basic observations of Tesla?

  6. Quantum criticality, 1/f noise and consciousness

    1. 1/f noise

    2. Quantum criticality of TGD

    3. 1/f noise and thermalized arithmetic quantum field theory

  7. The role of ELF fields in bio-control and coordination

    1. Electromagnetic selves

    2. Neuro-psychological evidence for the importance of ELF fields

    3. Effects of ELF- and ELF modulated em fields on living matter

    4. Summary about the effects of ELF em fields on brain

    5. A general view about the role of classical fields in quantum control, cooordination, and communication

  8. Dark matter and living matter as quantum phases with large value of Planck constant

    1. Quantum criticality, hierarchy of dark matters, and dynamical hbar

    2. Hadronic black holes and new view about dark matter

    3. Dark atoms and dark cyclotron states

    4. How dark matter and visible matter interact?

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

    6. Dark matter and living matter



  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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