The Universe in a Helium Droplet: Hardback: Grigory E. Volovik
- Oxford University Press

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Intended for the three main communities in physics: condensed matter physics, high-energy physics, and cosmology

Allows the representative of a given community to learn about development in other areas of physics using familiar terminology

Demonstrates the natural origin of all the general laws of physics as emergent phenomena

Assists the reader to realize the common features of physical phenomena

There are fundamental relations between three vast areas of physics: particle physics, cosmology and condensed matter physics. The fundamental links between the first two areas, in other words, between micro- and macro-worlds, have been well established. There is a unified system of laws governing the scales from subatomic particles to the Cosmos and this principle is widely exploited in the description of the physics of the early Universe. The main goal of this book is to establish and define the connection of these two fields with condensed matter physics. According to the modern view, elementary particles (electrons, neutrinos,
quarks, etc.) are excitations of a more fundamental medium called the quantum vacuum. This is the new 'aether' of the 21st Century. Electromagnetism, gravity, and the fields transferring weak and strong interactions all represent different types of the collective motion of the quantum vacuum. Among the existing condensed matter systems, a quantum liquid called superfluid 3He-A most closely represents the quantum vacuum. Its quasiparticles are very similar to the elementary particles, while the collective modes of the liquid are very similar to electromagnetic and gravitational fields, and the quanta of these collective modes are analogues of photons and gravitons. The fundamental laws of physics, such as the laws of relativity (Lorentz invariance) and gauge invariance, arise when the
temperature of the quantum liquid decreases. This book is written for graduate students and researchers in all areas of physics.

Readership: Graduate students and researchers in both particle physics and condensed matter physics.

Grigory E. Volovik, Low Temperature Laboratory, Helsinki University of Technology, Finland, and Landau Institute for Theoretical Physics, Moscow, Russia

"The book extends the traditionally fruitful transfer of ideas from condensed matter to fundamental theories. Do not be put off by the title: this is a serious contribution." - Mathematical Reviews

1: Introduction: GUT and anti-GUT Quantum Bose Liquid2: Gravity
3: Microscopic physics of quantum liquids
4: Effective theory of superfluidity
5: Two-fluid hydrodynamics
6: Advantages and drawbacks of effective theory Quantum Fermionic Liquids7: Microscopic physics
8: Universality classes of fermionic vacua
9: Effective quantum electrodynamics in 3He-A
10: Phenomenology of superfluid helium-3
11: Momentum-space topology of 2+1 systems
12: p-space topology protected by symmetry Topological Defects13: Topology of defects
14: Vortices in 3He-B
15: Symmetry breaking in 3He-A and singular vortices
16: Continuous structures
17: Monopoles and boojums Anomalies of Chiral Vacuum18: Anomalous non-conservation of fermionic charge
19: Anomalous currents
20: Macroscopic parity violating effects
21: Quantization of physical parameters Fermions on Topological Objects and Brane World22: Edge states and fermion zero modes on soliton
23: Fermion zero modes on vortices
24: Vortex mass
25: Spectral flow in the vortex core Nucleation of Quasiparticles and Topological Defects26: Landau critical velocity
27: Vortex formation by Kelvin-Helmholtz instability
28: Vortex formation in ionizing radiation Vacuum Energy and Vacuum in Nontrivial Gravitational Background29: Casimir effect and vacuum energy
30: Topological defects as source of nontrivial metric
31: Vacuum under rotation and spinning strings
32: Analogs of event horizon
33: Conclusion
References

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