stephaneww Posted August 8, 2018 Posted August 8, 2018 (edited) Hello I would like to know if the following calculation is allowed in quantum mechanics or if it's only the definition : [latex] \Large{F_p=\frac{G*m_p*m_p}{l_p^2}}[/latex] the numerical values are ok thanks in advanced Edited August 8, 2018 by stephaneww
Strange Posted August 8, 2018 Posted August 8, 2018 26 minutes ago, stephaneww said: Hello I would like to know if the following calculation is allowed in quantum mechanics or if it's only the definition : Fp=G∗mp∗mpl2p the numerical values are ok thanks in advanced The equation is certainly "allowed". It might even be correct. It may be that a future theory of quantum gravity will give different results when the distance is comparable to the Planck length but we don't really know. Note that the masses in your equation are very big compared to objects where we need to take quantum effects into account so it is probably only the distance that might cause problems with Newtonian gravity. Also, you have labelled the force Fp but it is not the same as the Planck force: https://en.wikipedia.org/wiki/Planck_force
stephaneww Posted August 8, 2018 Author Posted August 8, 2018 (edited) Hello Strange, of course "p" is for "Planck" I only try to find an element of quantum gravity for a context deterministic of quantum mechanics and submit it to a friend who works on this question and as you say, it's not a usual way to approach the problem thank you for your answer 22 minutes ago, Strange said: ...Also, you have labelled the force Fp but it is not the same as the Planck force: https://en.wikipedia.org/wiki/Planck_force edit : do the calculation, numeric value and dimension are ok Edited August 8, 2018 by stephaneww
Strange Posted August 8, 2018 Posted August 8, 2018 10 minutes ago, stephaneww said: oops do the calculation, numeric v It seems like it is the same thing. It wasn't obvious!
stephaneww Posted August 9, 2018 Author Posted August 9, 2018 (edited) um, nothing new in fact, it's under key : https://en.wikipedia.org/wiki/Planck_units#Base_units and it must be taken into account that: [latex]\Large{F_p=\frac{c^4}{G}}[/latex] so, we can deduce that it takes at least a relativistic context Edited August 9, 2018 by stephaneww
Sensei Posted August 11, 2018 Posted August 11, 2018 mp can mean "mass of proton" or mp can mean "Planck mass".. It's ambiguous. (Planck mass is extremely big in comparison to mass of proton)
stephaneww Posted August 11, 2018 Author Posted August 11, 2018 3 hours ago, Sensei said: mp can mean "mass of proton" or mp can mean "Planck mass".. It's ambiguous. (Planck mass is extremely big in comparison to mass of proton) oops I missed that
stephaneww Posted October 20, 2018 Author Posted October 20, 2018 (edited) hum, I forgot to say that [latex]_p[/latex] is for Planck mass Edited October 20, 2018 by stephaneww
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