1. Introduction
2. Symmetries and conservation theorems
2.1. Symmetry : a brief historical introduction
2.2. Symmetry in science
2.3. Symmetries in dynamic systems
2.4. From symmetry to gauge theory
2.5. Conclusion
3. Spontaneous symmetry breaking
3.1. Symmetry breaking
3.2. Historical overview and early evolution
3.3. Symmetry breaking in particle physics
3.4. Condensed matter, superfluidity and Bose-Einstein condensate
3.5. Spontaneously broken global symmetry
3.6. Higgs mechanism
4. Explicit symmetry breaking and electromagnetic radiation
4.1. Explicit symmetry breaking of electrodynamic systems
4.2. Electromagnetic radiation under non-conserved Noether current
4.3. Explicit symmetry breaking and free electron lasers
4.4. Electromagnetic radiation under explicit symmetry breaking of filter circuits
5. Symmetry breaking in transformation of force fields
5.1. Introduction
5.2. Broken symmetry in electrodynamic systems, Gauge symmetry and radiation
5.3. Symmetry breaking and reversibility
6. Piezoelectric antennas
7. Radiation from a superconducting loop
7.1. Superconducting antennas
7.2. Experimental setup
7.3. Results
7.4. Analysis
8. Broken symmetries in thermodynamics
8.1. Introduction
8.2. Entropy changes under potential gradients
8.3. Entropy production
8.4. Entropy changes under symmetry breaking
8.5. Entropy reduction in dissipative systems
8.6. Conclusion.