Solitons in Consciousness

Diaa A Ahmed

e-mail: diahmed@yahoo.com

(Cairo 1986)

The work I have read about quantum field theory and consciousness. On its self interaction level, consciousness must be dominated by nonlinear phenomena; so one should concern himself by nonlinear equations.

The soliton solutions of the nonlinear field equations qualitatively shows nontrivial properties which give a very rich structure to the nonabelian gauge theory.

These solutions connects the topology of the internal symmetry groups and the topology of space-time in a way that gives a rich and stable topological structures.

For the reason that these solutions follows from the nonlinearity which imply the self interaction and that it gives stable structures -stable configuration of the fields-, for purely topological reasons that lead to purely topological conservation laws that do not follow from Noether theorem, and this lead to a kind of motion which is nondissipative; I think that precisely these solutions must play the dominant role in consciousness.

One must be led to study the homotopy group to learn about the structures of these stable solutions of gauge theory.

I think the homotopy group is important in relating the vacuum state and consciousness, and that consciousness on its self interacting level can excite stable configuration of fields; that belong to the living systems.

The quantization of electric charge, the existence of vortex line and magnetic monopoles, comes from these topologies. The instanton solution of Yang-Mills equations in 4-Euclidean space by making time imaginary. The field goes an instant tunneling between topologically distinguished states, which may may pertain to superradiance.

Antigravity of O(3) supergravity theory and selfduality, and others are also interesting ideas that deserve further study.