Physics – Quantum Physics
Scientific paper
2000-08-23
Physics
Quantum Physics
27 pages with 10 postscript figures in text. To appear in "The Third Millenium" edited by Cristian Calude. Email: summhammer@a
Scientific paper
As physics searches for invariants in observations, this paper looks for invariants of probabilistic observation without assuming physical structure. Structure emerges from the basic assumption of science that new information shall lead to more accurate knowledge of the invariants. This leads to statistically unique random variables for expressing observed information: Complex probability amplitudes. Predictions are also just random variables computed from observed data, and must become more accurate with more observations as input. This singles out the quantum mechanical superposition principle. The external conditions of a probabilistic experiment can themselves be monitored at the most detailed level, resulting in observation of coicidence probabilities. The invariants of any multi-coincidence experiment are the same as those of a one-event experiment with the same number of possible outcomes. An observable probability turns out to be controllable by two independent experimental conditions, naturally parametrized as a direction in a 3-dimensional space. In summary, the probabilistic paradigm itself defines a unique method of forming concepts and making predictions. The method appears irrefutable within probability, because, whenever a prediction turns out wrong the existence of an as yet unmonitored condition is postulated, and a formal way to incoroporate it is shown. The Hilbert space formalism of quantum theory seems to be isomorphic to this method.
No associations
LandOfFree
Invariants of Elementary Observations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Invariants of Elementary Observations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariants of Elementary Observations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-355906