We have derived from certain astrometric and cosmological observations how physical constants evolve in time (https://doi.org/10.3390/galaxies7020055). The theoretical basis used is rather unsatisfactory since we use the Einstein equations derived from Einstein-Hilbert action which treats speed of light c, gravitational constant G and cosmological constant Λ as constant. While many papers state the problem (e.g. https://arxiv.org/abs/gr-qc/0305099 and https://arxiv.org/abs/gr-qc/0007036), none to my knowledge provides a solution, possibly because it is too difficult. However, since we know how they should vary from our paper cited above, it should be possible to develop an action approximation that would yield the desired variations of physical constants. I wonder if someone competent in this field would be able address this problem and possibly collaborate.

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