- #1

ohwilleke

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- TL;DR Summary
- Is there a maximum force? Is there a minimum magnitude an action? Is there a minimum entropy? A paper claims that there is and that the SM and GR can flow from this. But is it true or plausible?

A compact summary of present fundamental physics is given and evaluated. Its 9 lines contain both general relativity and the standard model of particle physics. Their precise agreement with experiments, in combination with their extreme simplicity and their internal consistency, suggest that there are no experimental effects beyond the two theories. The combined properties of the 9 lines also imply concrete suggestions on how to search for quantum gravity. Finally, the 9 lines specify the only decisive tests that allow checking any proposal for quantum gravity.

Christoph Schiller, "From maximum force to physics in 9 lines -- and implications for quantum gravity" arXiv:2208.01038 (July 31, 2022).

This paper asserts that nine propositions can be used to derive the Standard Model and GR and can point the way to quantum gravity, although he cheats a bit with some lines legitimately consisting of multiple points.

Some of these points (1), (2), (6), (7), (8) and (9) are uncontroversial. But, points (3), (4) and (5) are comparatively novel. I would be interested in what people think of the validity of those three points, especially (3) and (5).

The discussion of point (3) starts as follows:

In 1973, Elizabeth Rauscher discovered that general relativityimpliesa limit to force: she assumed that is was given by the quantal force F = c^{4}/G. She was followed by many other researchers. In 2002, Gary Gibbons and, independently, Schiller deduced the factor 1/4 and showed that force at a point is never larger that the maximum value c^{4}/4G ≈ 3.0 · 10^{43}N. The maximum value is realized on black hole horizon. At that time, it also became clear that the field equations of general relativity can be deduced from the invariant maximum force c^{4}/4G.

The maximum force value c^{4}/4G is due to the maximum energy per distance ratio appearing in general relativity. Indeed, for a Schwarzschild black hole, the ratio between its energy Mc^{2}and its diameter D = 4GM/c^{2}is given by the maximum force value, independently of the size and mass of the black hole. Also the force on a test mass that is lowered with a rope towards a gravitational horizon – whether charged, rotating or both – never exceeds the force limit, when the minimum size of the test mass is taken into account. All apparent counterexamples to maximum force disappear when explored in detail.

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