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By W M Honig
This paintings provides mathematical innovations: non-standard logics and non-standard metrics. The suggestions are utilized to present difficulties in physics, comparable to the hidden variable challenge and the neighborhood and nonlocal difficulties.
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Extra info for Nonstandard logics and nonstandard metrics in physics
Example text
The performance of an experiment whose character and whose results are underivable from the QIvI paradigm will thus carry with it automatic consideration of the new ideas involved. This is, of course, provided that such experiments are confirmed and more important are simple and dramatic enough to properly impress. This would counter the charge that anti/alternate QM is the realm of the armchair philosopher with nothing new to contribute experimentally and nothing to lose because nothing is being risked.
If our attempts to go deeper into the QM realm fail in the laboratory, I for one will be satisfied to accept canonical QM rather than some equivalent theory offering only philosophical comfort. We have not embarked on these anti/alternate to QM approaches in order to bury QM and certainly not to praise it. Our aim is, I think, to initiate actions, both theoretical and experimental, which could ultimately result in the transformation of QM by an as yet incomplete or unborn paradigm. Even those who disagree with these aims embrace this approach because it also harbours the possibility for confirming the QM paradigm even more strongly then before.
Thus both STR 36 and QJvI are in this way closely related so that any changes in the QJvI paradigm may need also to affect the STR paradigm. Even if a postQIvI paradigm becomes established which satisfies the wishes of many of us, this kind of axiomatic structure possessed by QJvI and STR will still be useful for the even further task of skipping ahead in the presence of deficiencies of our future determinate understandings. The six characteristics I remark on are: 1. Relativistic Invariance (or covariance for specific empirical cases) must be retained on an operational basis but the conundrum of the global axioms of the Special Theory of Relativity (STR) should be resolved with a crypto-deterministic formulation.