The discussion revolves around the accuracy of measurements in quantum mechanics, particularly in relation to the uncertainty principle. Participants explore the implications of attempting to measure a particle's position with increasing precision and the potential consequences, such as the creation of black holes. The conversation touches on theoretical aspects, mathematical reasoning, and the interplay between quantum mechanics and general relativity.
Participants express differing views on the necessity of mathematical detail in the discussion and the implications of measurement accuracy. There is no consensus on the relationship between energy requirements and the creation of black holes, nor on the adequacy of references provided.
Participants note the dependence on definitions and the unresolved nature of the relationship between quantum mechanics and general relativity, particularly regarding the implications for black hole formation.
From where? Please give a reference.dsaun777 said:I heard you need more and more energy to get a measurement more accurate.
Leonard susskindPeterDonis said:From where? Please give a reference.
That's not a reference, it's just a name. What specific textbook, paper, etc?dsaun777 said:Leonard susskind
I can't remember the exact paper or lecture yet. I will look for it and find it, not without some uncertainty...PeterDonis said:That's not a reference, it's just a name. What specific textbook, paper, etc?
I meant approaching an infinitesimally small value.PeroK said:An infinitesimal is not a finite number.
If I understand it right you mean that, just like in fourier transform, the more accurate you want to decompose a signal in time, the higher energy or frequenecy components to you need in the spectrum.dsaun777 said:How accurate of a measurement can we make on the position of a particle? I heard you need more and more energy to get a measurement more accurate. Would the energy needed to be infinitesimal accurate create a black hole upon. Measurement?