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Quantum Theology2

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QUANTUM THEOLOGY : M. M. NINAN<br />

uniquely defined. Notice that all interactive coordinates of all<br />

properties must be defined if the state function is to be complete.<br />

3.2 Observables, non-Observables and Hermeticity<br />

For every observable, there is an associated operator which<br />

operating on the State function extracts the observable. This<br />

extracted value will be one of the possible values of the system.<br />

There is a special class of operators that are called Hermitian<br />

operators. They are of particular importance in quantum<br />

mechanics because they have the property that all of their<br />

eigenvalues are real (and does not contain an imaginary part).<br />

This is convenient for the measurement outcome of any<br />

experiment must be a real number. There are non-Hermitian<br />

operators, but they do not correspond to observable properties.<br />

All observable properties are represented by Hermitian<br />

operators, but not all Hermitian operators correspond to an<br />

observable property. The presence of the imaginary terms will<br />

indicate that there are other dimensions involved and we are<br />

observing only a projection of the state into the real world.<br />

Unless we have the complete picture in all dimensions, our<br />

understanding will be only partial.<br />

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