Quantization & Discontinuity in Physics: Possible?

In summary, there are two meanings of "quantized" in the context of physics. In old quantum theory and popular language, it refers to discreteness, which can be seen in the energy levels of the hydrogen atom. In quantum theory, it refers to a theory that can be well approximated by a classical theory in some regime. There is no evidence that space or time are quantized, and it is unknown if it is possible.
  • #1
D.R.U
33
1
What is your thought s about quantization and discontinuity in physics...is possible?...if yes then How?
 
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  • #2
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.
 
  • #3
Thanks for give your thoughts
 
  • #4
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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  • #5
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.

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1. What is quantization in physics?

Quantization in physics refers to the process of representing physical quantities, such as energy or momentum, in discrete or distinct values. This means that these quantities can only exist in certain discrete levels or increments, rather than being continuous.

2. How is quantization related to discontinuity in physics?

Quantization and discontinuity are closely related in physics because quantization results in a discontinuous or non-smooth behavior of physical quantities. This is because quantization implies that there are distinct, discrete levels at which these quantities can exist, rather than having a continuous range of values.

3. What are some examples of quantization in physics?

Some examples of quantization in physics include the quantization of energy levels in atoms, where electrons can only exist in certain discrete energy levels, and the quantization of angular momentum in quantum mechanics, where particles can only have certain discrete values of angular momentum.

4. Is quantization a proven concept in physics?

Yes, quantization is a well-established concept in physics and has been confirmed by numerous experiments and observations. It is a fundamental principle in many areas of physics, including quantum mechanics and atomic physics.

5. What are the implications of quantization for our understanding of the physical world?

Quantization has significant implications for our understanding of the physical world, as it challenges the classical idea of continuous and deterministic behavior of physical quantities. It suggests that at a fundamental level, the universe may be discrete and made up of individual, quantized units. This has led to groundbreaking theories and discoveries, such as quantum mechanics and the concept of wave-particle duality.

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