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Quantum Criticality and Dark Matter

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Quantum Criticality and Dark Matter CONTENTS 1 Criticality and dark matter M. Pitk¨anen, June 29, 2020 Email: [email protected]. http://tgdtheory.com/public_html/. Recent postal address: Rinnekatu 2-4 A 8, 03620, Karkkila, Finland. Contents 1 Introduction 5 2 Criticality In TGD Framework 6 2.1 Mathematical Approach To Criticality . .6 2.1.1 Basic Building Bricks Of TGD Vision . .6 2.1.2 Hierarchy Of Criticalities And Hierarchy Breakings Of Conformal Invariance7 2.1.3 Emergence Of The Covering Spaces Associated With The Hierarchy Of Planck Constants . .8 2.1.4 Other Connections . .8 2.1.5 Hierarchy of Planck constants, space-time surfaces as covering spaces, and adelic physics . .9 2.2 Phenomenological Approach To Criticality . 10 2.3 Do The Magnetic Flux Quanta Associated With Criticality Carry Monopole Flux? 11 3 What's New In TGD Inspired View About Phase Transitions? 12 3.1 About Thermal And Quantum Phase Transitions . 13 3.2 Some Examples Of Quantum Phase Transitions In TGD Framework . 13 3.3 ZEO Inspired View About Phase Transitions . 15 3.3.1 Question related to TGD inspired description of phase transitions . 15 3.3.2 Symmetries and phase transitions . 16 3.3.3 Quantum phase transitions and 4-D spin glass energy landscape . 18 3.3.4 What ZEO can give to the description of criticality? . 19 3.4 Maxwell's lever rule and expansion of water in freezing: two poorly understood phenomena . 20 3.4.1 Maxwell's lever rule as an indication for the presence of magnetic flux tubes 20 3.4.2 Strangeness in the freezing of water . 23 3.5 TGD based view about ferromagnetism . 24 CONTENTS 2 3.5.1 The ideas related to the work of Li et al . 25 3.5.2 Some reasons to get interested . 25 3.5.3 TGD based view . 26 3.5.4 The ideas related to the work of Li et al . 29 3.5.5 Some reasons to get interested . 29 3.5.6 TGD based view . 30 4 Summary about applications of hierarchy of Planck constants to quantum crit- icality 33 4.1 Particle Physics . 33 4.2 Condensed Matter Physics . 34 4.3 Living Matter . 34 4.4 Fringe Physics . 35 4.5 Proposed Mechanisms For Generating Large heff Phase . 37 5 Applications to Condensed Matter 39 5.1 Mysterious Action At Distance Between Liquid Containers . 39 5.2 The Behavior Of Superfluids In Gravitational Field . 40 5.2.1 Fountain effect . 40 5.2.2 TGD inspired model for the fountain effect . 41 5.2.3 Superfluids dissipate! . 43 5.2.4 An improvement of the flux tube picture . 44 5.2.5 What about Sun? . 45 5.2.6 Evidence for macroscopic quantum coherence of fluid flow at criticality . 45 5.3 The mysterious dichloromethane droplet, which refuses to sink in water and begins to spin . 46 5.4 The mysterious dichloromethane droplet, which refuses to sink in water and begins to spin . 46 5.5 Does The Physics Of SmB6 Make The Fundamental Dynamics Of TGD Directly Visible? . 48 5.5.1 Observations . 48 5.5.2 Could TGD help to understand the strange behavior of SmB6?....... 48 5.6 Quantization of thermal conductance and quantum thermodynamics . 52 5.7 Are monopoles found? . 54 5.8 Badly behaving photons and space-time as 4-surface . 55 5.9 Deviation from the prediction of standard quantum theory for radiative energy trans- fer in faraway region . 58 5.10 Time crystals, macroscopic quantum coherence, and adelic physics . 58 5.11 Non-local production of photon pairs as support for heff =h = n hypothesis . 60 5.12 Exciton-polariton Bose-Einstein condensate at room temperature and heff hierarchy 60 5.13 New findings related to high Tc super-conductivity . 62 5.13.1 High Tc superconductivity at room temperature and pressure . 62 5.13.2 Transition to high Tc superconductivity involves positive feedback . 65 5.13.3 BCS super conductivity at almost room temperature . 66 5.14 Quantum scarring from TGD point of view . 66 5.14.1 General TGD based considerations . 68 5.14.2 A concrete TGD inspired model for MBQS . 71 5.15 Three surprising condensed matter findings . 72 5.15.1 The strange behavior of light . 72 5.15.2 New surprises related to super-conductors . 74 5.15.3 Conductors of electricity, which are poor conductors of heat . 74 6 Biological Applications 74 6.1 Worrying About The Consistency With The TGD Inspired Quantum Biology . 74 6.1.1 Some background . 75 6.1.2 Does hgr = heff hypothesis predict that the energy range of dark photons is that of biophotons? . 75 CONTENTS 3 6.1.3 Should one modify the hgr = heff hypothesis? . 76 6.1.4 Did animal mitochondrial evolution have a long period of stagnation? . 77 6.1.5 An island at which body size shrinks . 78 6.2 Why metabolism and what happens in bio-catalysis? . 79 6.2.1 Why metabolic energy is needed? . 79 6.2.2 Conditions on bio-catalysis . 80 6.2.3 Phase transition reducing the value of heff =h = n as a basic step in bio- catalysis . 80 6.2.4 How molecules in cells “find” one another and organize into structures? . 81 6.2.5 Are mysteriously disappearing electrons dark in TGD sense? . 83 6.2.6 About possible implications . 84 6.2.7 Misbehaving Ruthenium atoms . 84 6.3 Does valence bond theory relate to the hierarchy of Planck constants? . 85 6.3.1 Transition from atomic physics to molecular physics and chemistry . 86 6.3.2 Valence bond theory very briefly . 87 6.3.3 Deducing an estimate for the value of n = heff =h from bond lengths . 88 6.3.4 About biological interpretation . 90 6.3.5 About the biological role of low valence ions . 94 6.3.6 Quantum criticality . 96 6.3.7 Quantum criticality and TGD inspired quantum biology . 97 6.3.8 A new mechanism of quantum criticality . 97 6.3.9 A new mechanism of quantum bio-control . 98 6.4 Are Bacteria Able To Induce Super-Fluidity? . 99 6.5 Bacteria behave like spin system: Why? . 100 6.5.1 The first step: binding of dark protons to formamido-pyrimidine . 103 6.5.2 Second step: Could shock waves due to extraterrestrial impacts have pro- duced RNA bases? . 105 6.6 Could the replication of mirror DNA teach something about chiral selection? . 106 6.6.1 Dark matter and chirality selection . 107 6.6.2 Model for the replication of DNA . 108 6.6.3 Differences between standard model and TGD based description . 111 6.7 Is dark DNA dark also in TGD sense? . 111 7 The analogs of CKM mixing and neutrino oscillations for particle and its dark variants 112 7.1 21-cm anomaly as a motivation for the model of the interaction between different levels of heff hierarchy . 112 7.2 Mixing and oscillations of dark photons . 114 7.2.1 Mixing and oscillations of ordinary and dark particles . 114 7.2.2 Mass squared matrix for photons . 118 7.2.3 Could the mixing with dark photons provide and additional contribution to particle masses? . 118 7.2.4 Description of ordinary-dark scattering diagrams . 119 8 TGD Inspired View About Blackholes And Hawking Radiation 119 8.1 Is Information Lost Or Not In Blackhole Collapse? . 119 8.2 What Are The Problems? . 120 8.3 TGD View About Black Holes And Hawking Radiation . 121 8.3.1 The basic ideas of TGD relevant for blackhole concept . 121 2 8.3.2 Could electric-magnetic duality allow to understand 1=heff dependence of the effective string tension? . 124 8.3.3 The analogs of blackholes in TGD . 125 8.4 More About BMS Supertranslations . 127 CONTENTS 4 9 How to demonstrate quantum superposition of classical gravitational fields? 130 9.1 Is gravitation classical or quantal? . 131 9.2 Zeno effect and weak measurements . 132 9.2.1 Can one test quantum character of gravitation experimentally? . 132 9.2.2 The notion of weak measurement . 133 9.2.3 Weak measurement induced by measurement of classical gravitational fields 134 9.2.4 What about the situation in TGD? . 135 9.3 What Does Topological Order Mean? . 137 9.4 Topological Order And Category Theory . 138 9.5 Category Theoretical Description Of Topological Order In TGD . 139 9.5.1 Topological order in TGD . 139 9.5.2 Stacking, time reversal, and gapless states in TGD framework? . 140 9.5.3 Category theory.
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