CONTENTS 1 Dark Matter Hierarchy and Hierarchy of EEGs M. Pitk¨anen, June 19, 2019 Email: [email protected]. http://tgdtheory.com/public_html/. Recent postal address: Rinnekatu 2-4 A 8, 03620, Karkkila, Finland. Contents 1 Introduction 6 1.1 Background Ideas . .7 1.1.1 Zero energy ontology . .7 1.1.2 Systematic mistake in the identification of p-adic lengths scales above elec- tron length scale . .7 1.1.3 p-Adic length scale hypothesis and biology . .8 1.1.4 Mersenne hypothesis . .9 1.1.5 DNA and topological quantum computation . .9 1.1.6 Summary of basic ideas leading to the model of EEG . 11 1.1.7 The model of sensory receptor . 11 1.2 Vision About Eeg . 12 1.3 Fractal Hierarchy Of Generalizations Of Eeg . 13 1.4 Basic Aspects Of Eeg . 14 1.5 The Effects Of ELFEM Fields On Brain . 15 1.6 Generalized EEGAnd Consciousness . 15 1.7 Vision About Biological Evolution And Evolution Of Brain . 16 2 What Is EEG Made Of? 16 2.1 Basic Ingredients For Dark Hierarchy Of EEGs . 16 2.1.1 The path to recent view . 16 2.1.2 Josephson current . 17 2.1.3 Thermodynamical considerations . 18 2.1.4 Classification of cyclotron frequencies . 19 2.1.5 Basic contributions to EEG . 20 2.2 The Simplest Model For The Correspondence Between Generalized Josephson Fre- quencies And Cyclotron Frequencies . 22 CONTENTS 2 2.2.1 Resonance condition equates generalized Josephson frequency with cyclotron frequency . 22 2.2.2 Satellites . 24 2.2.3 Harmonics . 25 2.3 Music Metaphor . 25 2.3.1 Right brain sings, left brain talks . 25 2.3.2 Could the analogs of music scales appear in the communications to the mag- netic body . 27 2.4 An Attempt To Understand EEG In Terms Of The Resonance Model . 27 2.4.1 Basic tests . 27 2.4.2 Theta and delta bands . 28 2.4.3 Alpha and Mu bands . 29 2.4.4 Sensorimotor rhythms in range 12-16 Hz . 29 2.4.5 Beta band . 30 2.4.6 Gamma band . 30 2.5 EEGDuring Sleep . 31 2.5.1 EEG during stage 1 . 31 2.5.2 EEG during stage 2 . 32 2.5.3 EEG during stages 3 and 4 . 32 2.6 Schumann Resonance And Consciousness . 32 2.7 What About Proton And Electron? . 33 3 The Effects Of ELFFields On Brain And High Tc Ionic Super Conductivity 33 3.1 Summary About Effects Of ELF EM Fields On Brain . 33 3.1.1 Basic effects . 34 3.1.2 Amplitude windows . 34 3.1.3 The effects occur at harmonics of cyclotron resonance frequencies . 34 3.1.4 Are quantal effects in question? . 35 3.2 A Brief Summary Of The Model Explaining Cyclotron Frequencies . 36 3.3 Interpretation Of The Temperature Window . 36 3.4 How Could One Understand The Amplitude Windows? . 37 3.4.1 Can one take into account the complications due to modulation? . 37 3.4.2 Direct quantum currents of Becker and explanation for the amplitude windows 38 3.4.3 Explanation for the observed amplitude windows . 38 4 How Does Generalized EEG Relate To Conscious Experience? 38 4.1 Sensory Canvas Hypothesis . 38 4.2 Magnetic Quantum Phase Transitions And Eeg . 39 4.2.1 Sensory maps by magnetic frequency scale coding . 39 4.2.2 Place coding for the geometric parameters characterizing simple geometric features . 40 4.2.3 Flag-manifold qualia and magnetic fields . 41 4.2.4 Could magnetic phase transitions define sensory qualia? . 41 4.2.5 What about Larmor frequencies? . 42 4.3 Altered States Of Consciousness And EEG . 44 4.3.1 Transcendental states of consciousness and EEG . 45 4.3.2 Transpersonal levels of consciousness . 45 4.3.3 Meditative states of consciousness and EEG . 46 4.3.4 Empirical evidence for transpersonal levels of consciousness . 47 4.4 EEG And Golden Mean . 47 4.5 Pineal Gland And EEG . 48 4.5.1 Pineal gland as timekeeper . 48 4.5.2 Pineal gland as \third eye" . 49 4.5.3 Perhaps Descartes was not so wrong after all! . 49 CONTENTS 3 5 Great Vision About Biological Evolution And Evolution Of Brain 50 5.1 Basic Assumptions . 50 5.1.1 How to identify the preferred values of Planck constant? . 51 5.1.2 Tables about predicted time and length scales . 52 5.1.3 Electron and u quark are different . 52 5.2 Dark Matter Hierarchy And Big Leaps In Evolution . 52 5.2.1 A sketch about basic steps in evolution . 56 5.2.2 Division of the evolution to that of biological body and magnetic body . 58 5.2.3 Biological evolution . 59 5.2.4 The evolution of magnetic body . 60 6 Appendix 62 6.1 Hierarchy Of Planck Constants And The Generalization Of The Notion Of Imbed- ding Space . 62 6.1.1 The evolution of physical ideas about hierarchy of Planck constants . 63 6.1.2 The most general option for the generalized imbedding space . 64 6.1.3 About the phase transitions changing Planck constant . 65 6.1.4 How could one fix the spectrum of Planck constants? . 65 6.1.5 Preferred values of Planck constants . 66 6.1.6 How Planck constants are visible in K¨ahleraction? . 66 6.1.7 Do factor spaces and coverings correspond to the two kinds of Jones inclusions? 66 6.2 Em Cyclotron Frequencies Of Biologically Important Ions . 67 6.3 Cyclotron Frequencies Of Exotic Ions And Periodic Table . 67 6.3.1 Ions in Helium period correspond to beta and gamma bands . 69 6.3.2 Ions in Neon period correspond to alpha band . 69 6.3.3 Ions in Argon period correspond to theta band . 69 6.3.4 Ions in Krypton period correspond to delta band . 69 6.3.5 Basic data for Xenon period . 69 CONTENTS 4 Abstract The emergence of zero energy ontology, the explanation of dark matter in terms of a hierachy of Planck constants requiring a generalization of the notion of imbedding space, the view about life as something in the intersection of real and p-adic worlds, and the notion of number theoretic entanglement negentropy led to a breakthrough in TGD inspired quantum biology and also to the recent view of qualia and sensory representations including hearing allowing a precise quantitative model at the level of cell membrane. Also long range weak forces play a key role. They are made possible by the exotic ground state represented as almost vacuum extremal of K¨ahleraction for which classical em and Z0 fields are proportional to each other whereas for standard ground state classical Z0 fields are very weak. This leads to a correct prediction for the frequencies of peak sensitivity for photoreceptors - something highly non-trivial remembering that also the large parity breaking effects in living matter find a natural explanation. It must be however emphasizef that there is also alternative model of Josephson junctions which seems to provide a better explanation for the role of protons in metabolism. Second quantitative key observation was that for electrons and quarks the time scales of causal diamonds correspond to fundamental biorhythms assignable to central nervous system. The general model for EEG follows neatly from this picture combined with the general model of high Tc superconductivity. A fractal hierarchy of EEGs and its generalizations identified in terms of Josephson radiation is predicted with levels labeled by p-adic length scales and the value of ~ at various levels of dark matter hierarchy. Cell membrane would represent only one level in this hierarchy. Besides EEG one would have its counterparts for various organs, organelles and even cell. Also the possibility of ZEG, WEG and QEG corresponding to Z0 bosons, W bosons, and gluons must be considered. 1. Fractal hierarchy of EEGs EEG is replaced with a fractal hierarchy of EEGs corresponding to various values of Planck constants involved. 1. There are at least three contributions to EEG besides the contributions due to the neural noise and evoked potentials. These contributions correspond to Schumann frequencies, cyclotron frequencies fc of biologically important ions in magnetic field Bend = :2 Gauss, and to the Josephson frequencies fJ or theire generalizations associated with Josephson junctions assigned with cell membranes. If Josephson radiation modulates cyclogtron radiation also the frqequencies mfJ ± nfc appear in the spectrum. Perhaps the most natural option is generalization of Josephson junction so that generalized Josephson frequencies are sums for differences of cyclotron frequencies for flux tubes in the interior resp. exterior of cell membrane and of Josephson frequency fJ . This implies that the information provided by cell membrane oscillations and nerve pulse patterns is coded to frequency modulations for differences of cyclotron frequencies defining EEG rhythms. 2. In standard model fJ = ZeV=~ would determined by the membrane potential and would correspond to energy in infrared. This sounds completely reasonable. TGD suggests two models for the cell membrane. 3. TGD inspires two views about cell membrane: the wiews need not be contradictory. For the first model cell is far from vacuum extremal, for the second model nearly vacuum extremal with classical Z0 fields in key role. (a) There are several constraints on the first model coming from the TGD based iden- tification of bio-photons as energy conserving decay products of dark photons and one ends up to a new view about metabolism and gneralization to of the notion of Josephson junction so that Josephson energy includes besides electrostatic energy also the difference of cyclotron energies at two sides of the membrane.