## The Schrodinger Equation

A generalized version of the Schrodinger Equation, corresponding to the different universes of QCI Theory, can be produced by applying a perturbation expansion to calculate the propagator of a particle in a potential. The presence of a p-norm, and the integration over a complex number of variables, produces new coefficients in the perturbation expansion that are not present in the case of an integer discretization index. These coefficients manifest themselves as multiplicative factors in the potential term. By applying the relationship between the particle propagator and the wavefunction, for arbitrarily small time-interval, a differential equation for the particle wavefunction in different universes can be constructed, a generalization of the Schrodinger equation.

This extended Schrodinger equation can be resolved into a time-independent Schrodinger equation, with a universe-dependent factor multiplying the potential, and a time-dependence exponential expression. This expression produces apparently non-unitary particle behavior; namely, a violation of the conservation of probability. As described in our paper, such an apparent paradox can be readily interpreted in the context of particles "disappearing" from space-time; that is, a violation of mass-energy conservation. Alternatively, new normalization factors could be added to the contribution formula to preserve unitarity, but energy conservation will still be compromised. Such is an unavoidable consequence of the theory.

This extended Schrodinger equation can be resolved into a time-independent Schrodinger equation, with a universe-dependent factor multiplying the potential, and a time-dependence exponential expression. This expression produces apparently non-unitary particle behavior; namely, a violation of the conservation of probability. As described in our paper, such an apparent paradox can be readily interpreted in the context of particles "disappearing" from space-time; that is, a violation of mass-energy conservation. Alternatively, new normalization factors could be added to the contribution formula to preserve unitarity, but energy conservation will still be compromised. Such is an unavoidable consequence of the theory.