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- RE: quantum wave function algebra
Topological spaces as geometric manifolds have algebraic structures which can be manipulated by the observers and measurement devices or processes.The classical phase space has Hamiltonian vector fields as flows of differentials of the Hamiltonian.The wave forms as complex subspaces can intersect with convergence to indicate the observable as a measured single value,upon observation,in a transition to classicality from quantum space.
The exterior algebra involving wedge product can induce cup product of the cohomology group associated with the symplectic form geometry of classical mechanics.The cup product is dual to subspace intersection,in a mathematical sense,and assigns richer algebraic variants to geometry of manifolds of topological spaces.Measurement as a case of subspace intersections can involve exterior algebra that distinguish between cohomology groups associated with vector spaces. This implies that observer based variations in quantum reality,as measured,becomes topolgically possibleCompeting Interests: None declared.
