Quantization & Discontinuity in Physics: Possible?

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What is your thought s about quantization and discontinuity in physics...is possible?...if yes then How?
 
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There is no evidence that either space or time are quantized. I believe that it is unknown whether or not it is POSSIBLE that either could be quantized.
 
Thanks for give your thoughts
 
There are two meanings of "quantized".

In old quantum theory and popular language, quantization means discreteness. This sort of discreteness is found in the energy levels of the hydrogen atom, and you can see it by the distinct lines in the spectrum of hydrogen. http://en.wikipedia.org/wiki/Balmer_series

In quantum theory, quantization means making a quantum theory that can be well approximated by a classical theory in some regime. In this sense of the word, a quantum theory has essentially nothing to do with discreteness. Rather a quantum theory is defined as a theory that includes postulates such as states being rays in a vector space, and the probability of outcomes being given by the Born rule.
 
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atyy said:
There are two meanings of "quantized".

In old quantum theory and popular language, quantization means discreteness. This sort of discreteness is found in the energy levels of the hydrogen atom, and you can see it by the distinct lines in the spectrum of hydrogen. http://en.wikipedia.org/wiki/Balmer_series

In quantum theory, quantization means making a quantum theory that can be well approximated by a classical theory in some regime. In this sense of the word, a quantum theory has essentially nothing to do with discreteness. Rather a quantum theory is defined as a theory that includes postulates such as states being rays in a vector space, and the probability of outcomes being given by the Born rule.

Good
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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