Path of Paradox

Pavel Cherkashin

The Paradox Integral is a mathematical tool that can be used to calculate the probability of different paths that a system could take. It is a generalization of Feynman's path integral, which is used in quantum mechanics to calculate the probability of different outcomes of an experiment.The Paradox Integral is based on the principle of cross-dimensional dependence, which states that the largest exponent is the smallest coefficient. This means that the destination can be derived from the initial conditions, and the answer can be derived from the question.The Paradox Integral can be used to identify voids of knowledge and build sufficient pathways with their associated probabilities. This can be used to solve problems and make predictions.

Anatol Rapoport

Allen E. Everett

We consider two approaches to evading paradoxes in quantum mechanics with closed timelike curves. In a model similar to Politzer's, assuming pure states and using path integrals, we show that the problems of paradoxes and of unitarity violation are related; preserving unitarity avoids paradoxes by modifying the time evolution so that improbable events become certain. Deutsch has argued, using the density matrix, that paradoxes do not occur in the ``many worlds interpretation.'' We find that in this approach account must be taken of the resolution time of the device that detects objects emerging from a wormhole or other time machine. When this is done one finds that this approach is viable only if macroscopic objects traversing a wormhole interact with it so strongly that they are broken into microscopic fragments.

Ian Stewart

Zinkoo Yun

From the following thought experiments, it is demonstrated that the collapse of wave function of an isolated system is possible without external observer. It will be shown that the analysis by Feynman path integral method supports this conclusion. The argument is based on two assumptions: 1. The condition of Schrodinger's cat experiment 2. Feynman path integral; This could explain Schrodinger's cat paradox and its implication on the black hole information paradox will be discussed.