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?
The Heisenberg Uncertainty Principle is a fundamental concept in quantum mechanics that states it is impossible to simultaneously know both the exact position and exact momentum of a particle. The more accurately you know one of these values, the less accurately you can know the other. This principle highlights the intrinsic limitations of measurement at the quantum level.
The uncertainty principle is a well-established principle in quantum mechanics, supported by extensive experimental evidence. It is not merely a theoretical construct but has been confirmed through numerous experiments involving particles such as electrons and photons. The principle applies universally to all quantum systems, making it a cornerstone of modern physics.
While the uncertainty principle applies to all objects, its effects are negligible for macroscopic objects due to their large mass and size. The uncertainties in position and momentum become significant only at the quantum scale, where particles behave according to quantum mechanics. For everyday objects, the uncertainties are so small that they are practically imperceptible.
The uncertainty principle cannot be violated as it is a fundamental property of quantum systems. However, some interpretations of quantum mechanics suggest that under certain conditions, such as quantum entanglement or measurement processes, the apparent limitations imposed by the uncertainty principle can be circumvented in specific contexts. Nonetheless, these interpretations do not negate the principle itself.
The uncertainty principle plays a crucial role in the development of quantum technologies, such as quantum computing and quantum cryptography. It underpins the behavior of quantum bits (qubits) and the security of quantum communication protocols. Understanding and leveraging the uncertainty principle allows scientists and engineers to create innovative technologies that harness the unique properties of quantum mechanics.