
Originally Posted by
TimLong Probably the most unsettling anomaly of QM is the limitation denoted by the "Planck length," etc. that are a result of the breakdown in calculating accurate values below this threshold.
Dr. John Wheeler has proposed
"quantum foam" and "wormholes' to describe the situation and we all know what this has spawnned: black holes & white holes as shortcuts across the vastness of the universe and the denial of processes that occur at smaller scale measurements. Now that we have seen larger scale phenomena such as the "Great Wall' at vast astronomical distances, might not we suppose that similar structures occur at smaller & smaller scales.
In David Bohm's book, Causality and Chance in Modern Physics, Louis DeBroglie is quoted as stating, "The construction of purely probabilistic formuli that all theoreticians use today was...completely justified. However, the majority of them, often under the influence of preconceived ideas derived from positivist doctrine, have thought that they could go further and assert that the uncertain and incomplete character of the knowledge that experiment at its present stage gives us about what really happens in microphysics is the result of a real indetermancy of the physical states and of their evolution. Such an extrapolation does not appear in any way to be justified. It is possible that looking into the future to a deeper level of physical reality we will be able to interpret the laws of probability and quantum physics as being the statistical results of the development of completely determined variables which are at present hidden from us...To try to stop all attempts to pass beyond the present viewpoint of quantum physics could be very dangerous for the progress of science and would furthermore be contrary to the lessons we may learn from the history of science. This teaches us, in effect, that the actual state of our knowledge is always provisional and that there must be, beyond what is actually known, immense new regions to discover."
In addition, Alfred Lande has developed a remarkable analysis which reduces the uncertainty in QM to the Uncertainty of Measurement rather than its usual representation as a physical uncertainty. This view is also supported by the astronomer Henry Russel who calls the Principle of Indeterminacy "the principle of limited human measurability." Based on Lande's analysis, it is apparent that the indeterministic aspect of QM is due to the statistical nature of its formulations as well as limitations of our measurement techniques. (See From Dualism to Unity in Quantum Mechanics, by Alfred Lande.)