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Tyson claims that an electron disappears from one orbital and appears in another and claims that this is like going from the second floor of a building to the fourth floor without existing in between. This doesn't actually happen. What happens instead is that each possible state of the system has a continuous amplitude associated with it. In a transition from state 1 to state 2, the amplitude of state 1 continuously decreases over time while that of state 2 continuously increases. These states overlap in space and so there is no mysterious magical mystery about an electron hopping from one place to another or anything like that. There is just continuous evolution of continuous amplitudes of the discrete set of states in which the electron can be found upon measurement.

The confusion about this kind of issue is a result of the mess that is usually made of discussing how quantum mechanics should be understood when it comes to measurement. The standard story is that the state of a quantum system jumps or collapses into one of the possible outcomes on measurement, but this is false. A more accurate description goes like this. A measurement has to create information that can be freely copied so that where is was previously present only in one system it latterly becomes present in many. It is not necessarily true that the system that was originally measured has its state copied. The state can be wiped instead, it can be reset to some default state. But the measurement result itself has to be able to be copied, otherwise you can't discuss it because to know about it you have to copy it into your brain. And information that can be copied in this way is discrete and the copying process prevents interference, see

http://arxiv.org/abs/1212.3245.

Even this paper is not as clear as it should be. The author should state that in fact the state doesn't jump or collapse, it just evolves according to the appropriate equations of motion. The observer is often present in multiple states after the measurement but he can't experience any state other than the one he is in because the copying process prevents interference between the different versions of the measurement result.

See also

http://arxiv.org/abs/quant-ph/0104033.

Tyson claims that an electron disappears from one orbital and appears in another and claims that this is like going from the second floor of a building to the fourth floor without existing in between. This doesn't actually happen. What happens instead is that each possible state of the system has a continuous amplitude associated with it. In a transition from state 1 to state 2, the amplitude of state 1 continuously decreases over time while that of state 2 continuously increases. These states overlap in space and so there is no mysterious magical mystery about an electron hopping from one place to another or anything like that. There is just continuous evolution of continuous amplitudes of the discrete set of states in which the electron can be found upon measurement.

The confusion about this kind of issue is a result of the mess that is usually made of discussing how quantum mechanics should be understood when it comes to measurement. The standard story is that the state of a quantum system jumps or collapses into one of the possible outcomes on measurement, but this is false. A more accurate goes like this. A measurement has to create information that can be freely copied so that where is was previously present only in one system it latterly becomes present in many. It is not necessarily true that the system that was originally measured has its state copied. The state can be wiped instead, it can be reset to some default state. But the measurement result itself has to be able to be copied, otherwise you can't discuss it because to know about it you have to copy it into your brain. And information that can be copied in this way is discrete and the copying process prevents interference, see

http://arxiv.org/abs/1212.3245.

Even this paper is not as clear as it should be. The author should state that in fact the state doesn't jump or collapse, it just evolves according to the appropriate equations of motion. The observer is often present in multiple states after the measurement but he can't experience any state other than the one he is in because the copying process prevents interference between the different versions of the measurement result.

See also

http://arxiv.org/abs/quant-ph/0104033.

Tyson claims that an electron disappears from one orbital and appears in another and claims that this is like going from the second floor of a building to the fourth floor without existing in between. This doesn't actually happen. What happens instead is that each possible state of the system has a continuous amplitude associated with it. In a transition from state 1 to state 2, the amplitude of state 1 continuously decreases over time while that of state 2 continuously increases. These states overlap in space and so there is no mysterious magical mystery about an electron hopping from one place to another or anything like that. There is just continuous evolution of continuous amplitudes of the discrete set of states in which the electron can be found upon measurement.

The confusion about this kind of issue is a result of the mess that is usually made of discussing how quantum mechanics should be understood when it comes to measurement. The standard story is that the state of a quantum system jumps or collapses into one of the possible outcomes on measurement, but this is false. A more accurate description goes like this. A measurement has to create information that can be freely copied so that where is was previously present only in one system it latterly becomes present in many. It is not necessarily true that the system that was originally measured has its state copied. The state can be wiped instead, it can be reset to some default state. But the measurement result itself has to be able to be copied, otherwise you can't discuss it because to know about it you have to copy it into your brain. And information that can be copied in this way is discrete and the copying process prevents interference, see

http://arxiv.org/abs/1212.3245.

Even this paper is not as clear as it should be. The author should state that in fact the state doesn't jump or collapse, it just evolves according to the appropriate equations of motion. The observer is often present in multiple states after the measurement but he can't experience any state other than the one he is in because the copying process prevents interference between the different versions of the measurement result.

See also

http://arxiv.org/abs/quant-ph/0104033.

Source Link
alanf
alanf
  • 10.2k
  • 1
  • 15
  • 30

Tyson claims that an electron disappears from one orbital and appears in another and claims that this is like going from the second floor of a building to the fourth floor without existing in between. This doesn't actually happen. What happens instead is that each possible state of the system has a continuous amplitude associated with it. In a transition from state 1 to state 2, the amplitude of state 1 continuously decreases over time while that of state 2 continuously increases. These states overlap in space and so there is no mysterious magical mystery about an electron hopping from one place to another or anything like that. There is just continuous evolution of continuous amplitudes of the discrete set of states in which the electron can be found upon measurement.

The confusion about this kind of issue is a result of the mess that is usually made of discussing how quantum mechanics should be understood when it comes to measurement. The standard story is that the state of a quantum system jumps or collapses into one of the possible outcomes on measurement, but this is false. A more accurate goes like this. A measurement has to create information that can be freely copied so that where is was previously present only in one system it latterly becomes present in many. It is not necessarily true that the system that was originally measured has its state copied. The state can be wiped instead, it can be reset to some default state. But the measurement result itself has to be able to be copied, otherwise you can't discuss it because to know about it you have to copy it into your brain. And information that can be copied in this way is discrete and the copying process prevents interference, see

http://arxiv.org/abs/1212.3245.

Even this paper is not as clear as it should be. The author should state that in fact the state doesn't jump or collapse, it just evolves according to the appropriate equations of motion. The observer is often present in multiple states after the measurement but he can't experience any state other than the one he is in because the copying process prevents interference between the different versions of the measurement result.

See also

http://arxiv.org/abs/quant-ph/0104033.