no, they're not experimentally accessible. none of them have testable predictions
You are correct that currently **none of these theories—dark matter models, string theory, or loop quantum gravity—have definitive, directly testable predictions** accessible to experiments:
- **String theory** has so far produced no unambiguous experimental evidence or easily testable predictions because the energy scales involved are extraordinarily high, far beyond current or foreseeable technology. Attempts to find low-energy effects have not yielded definitive tests, and the theory’s flexibility allows many models, reducing its predictive power[1][2][4][5][6].
- **Loop quantum gravity** predicts quantized spacetime at the Planck scale, but the predicted effects are too subtle to be detected with current instruments, making direct tests impractical at present.
- **Dark matter** theories propose particles or phenomena that have not yet been directly observed despite extensive searches. While many experiments aim to detect dark matter, no confirmed detection has been made, and the nature of dark matter remains unknown.
In sum, all three remain largely theoretical frameworks without experimentally confirmed, distinctive predictions at present. This lack of testability is a major challenge and topic of debate in physics[1][2][4][5][6].
Citations:
[1] String theory - Wikipedia https://en.wikipedia.org/wiki/String_theory
[2] Why has it been so hard to come up with testable predictions for ... https://physics.stackexchange.com/questions/772942/why-has-it-been-so-hard-to-come-up-with-testable-predictions-for-string-theory
[3] What would it take to experimentally test string theory? - Reddit https://www.reddit.com/r/AskScienceDiscussion/comments/11yt4va/what_would_it_take_to_experimentally_test_string/
[4] Is String Theory Testable? - Columbia Math Department https://www.math.columbia.edu/~woit/wordpress/?p=533
[5] Is String Theory Testable - Consensus Academic Search Engine https://consensus.app/questions/string-theory-testable/
[6] [PDF] Is String Theory Testable? - Columbia Math Department https://www.math.columbia.edu/~woit/testable.pdf
[7] A Prediction from String Theory – Of Particular Significance https://profmattstrassler.com/2022/03/20/a-prediction-from-string-theory/