This abstract presents an essay that explores the intriguing possibilities of how science could have developed differently under alternate historical circumstances, cultural contexts, or methods of inquiry. By contemplating the role of mathematics in physics, alternative foundations for scientific modeling, and the potential impact of egalitarian societies on scientific progress, the essay encourages readers to critically examine the foundations, practices, and institutions that shape the scientific endeavor. The goal is to identify limitations and biases in our current framework, allowing for a more equitable and effective practice of science in the future.

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a month later

Hi SaffronWolverine.
You said, that: "alternative foundations for scientific modeling"

You have to think big!
It is known that Newton determined the gravitational coefficient through the parameters of the orbits of the planets of the solar system. If the gravitational coefficient is determined in a similar way from the parameters of the orbits of electrons in the Hydrogen atom, then the gravitational coefficient of the planetary system of the Hydrogen atom becomes 40 orders of magnitude greater than in the solar system. Then the Planck parameters of the Hydrogen atom are the parameters of an electron with its radius equal to the radius of the Compton wave of the electron. Those. each level of fractal matter has its own “Planck parameters”, and the generally accepted Planck parameters are an abstract delusion and have no real meaning at all. Indeed, what relation does the gravitational coefficient from the parameters of the Solar system have to the parameters of the planetary system of the Hydrogen atom? None!!!

You have to think big!
The fine structure constant can be easily calculated with an accuracy of up to 7 digits, assuming that all elements of matter have a fractal structure. Then, therefore, "black holes" do not exist, and there is no event horizon. Those. inside putative "black holes", there is deterministic matter that obeys the simple quantum laws of fractal matter, which unify gravity and quantum phenomena of the deterministic functioning of matter on all scales of the universe [ appendix: https://s3.amazonaws.com/fqxi.data/data/essay-contest-files/16/reference_id_2304.pdf
https://qspace.fqxi.org/competitions/entry/2304#control_panel ].

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