[AntonioLao]

There are solitary waves in nature. In theory, it is plausible that the entire Universe is one solitary wave. At the smallest scale all elementary particles appear just solitary waves of different quantum fields.

Solitons, as what solitary waves are called were first noted by John Scott Russell in 1834, an engineer, while horseback riding along the bank of a narrow canal near Edinburgh. These solitons were formed from a boat coming to a sudden halt. The wakes travel as single humps not diminishing in speed for over 2 miles before got lost in the chase around the bend. Russell reported his repeated findings in the Transactions of the Royal Society of Edinburgh. About sixty years later, two Dutch physicists D.J. Korteweg and Hendrik de Vries formulated the nonlinear equation describing solitons. About another sixty years, Martin Kruskal proved the stability of solitons by computer simulations that they are indestructible. The outcomes are that solitons have been applied in modeling subatomic particles, energy transfer in the human nervous system similar to brain waves, fluxons of Josephson junctions, solarons of solid state physics, and bipolarons of high temperature superconductivity.

Solitons using nonlinear mathematics can be used to describe twists and kinks for topologies of space-time structures. Fortunately, the square of energy is quadratic. So, it can be implied that solitons are square of energy or could even be higher powers of energy.