The Generalized Uncertainty Principle

Abstract

The uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit of the measurement precision of incompatible observables. Here it is shown that the traditional uncertainty relation in fact belongs to the leading order approximation of a generalized uncertainty relation. That is, the leading order linear dependence of observables gives the Heisenberg type of uncertainty relations, while higher order nonlinear dependence may reveal more different and interesting correlation properties. Applications of the generalized uncertainty relation and the high order nonlinear dependence between observables in quantum information science are also discussed.

Verifying the universe is another way to ds space-time

“…|T | 2 is a necessary condition for the inequality ∆x∆p ≥ 1/2 to be established.We can pre-set the boundary conditions eA 0 (x) = yω(which can be µ = yω), and we see that when y is relatively large(according to the properties of the boson, y can be very large),|R| 2 ≥ − ω−eV ω |T | 2 may not hold.In the end,we can get ∆x∆p ≥ 1/2 may not hold.Classical superradiation effect in the space-time of a steady black hole,generalized uncertainty principle may not hold.The same goes for reverse inference [11].…”

The superradiation of big mass interference

“…2 is a necessary condition for the inequality ∆x∆p ≥ 1/2 to be established.We can pre-set the boundary conditions eA 0 (x) = yω(which can be µ = yω), and we see that when y is relatively large(according to the properties of the boson, y can be very large),|R| 2 ≥ − ω−eV ω |T | 2 may not hold.In the end,we can get ∆x∆p ≥ 1/2 may not hold.Classical superradiation effect in the space-time of a steady black hole,generalized uncertainty principle may not hold.The same goes for reverse inference [9].…”

The Superradiation Phenomenon of R-N Black Holes Can Be Unstable

“…|T | 2 is a necessary condition for the inequality ∆x∆p ≥ 1/2 to be established.We can pre-set the boundary conditions eA 0 (x) = yω(which can be µ = yω), and we see that when y is relatively large(according to the properties of the boson, y can be very large),|R| 2 ≥ − ω−eV ω |T | 2 may not hold.In the end,we can get ∆x∆p ≥ 1/2 may not hold.Classical superradiation effect in the space-time of a steady black hole,generalized uncertainty principle may not hold.The same goes for reverse inference [10].…”