Causality in quantum mechanics and relativity

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Discussion Overview

The discussion revolves around the concept of causality in quantum mechanics (QM) and relativity, exploring how these theories treat causal relationships differently. Participants examine the implications of the Heisenberg uncertainty principle, the nature of atomic decay, and the potential for superluminal information transfer, questioning the consistency of causality across these frameworks.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants argue that the Heisenberg uncertainty principle suggests certain events in QM, like atomic decay, lack a causal history, which could imply a violation of causality.
  • Others clarify that in QM, causality is interpreted differently, as atomic decay does not have a specific identifiable cause at a given moment.
  • Participants note that in special relativity (SR), causality is defined by the requirement that a cause must precede its effect in all reference frames, which is violated by superluminal information transfer.
  • There is a discussion about whether quantum events can be considered causal, with some suggesting that QM is inherently acausal due to its reliance on probabilistic laws rather than definitive causes.
  • One participant raises the question of whether experimental results, such as those related to fine structure, support the idea of probabilistic acausality in QM.
  • Another participant mentions the Dirac equation as a framework that respects relativistic causality but does not provide a probabilistic interpretation like the Schrödinger equation.
  • There is a recognition that the discussions surrounding the interpretation of QM and its relationship with relativity remain unresolved and continue to evolve.

Areas of Agreement / Disagreement

Participants express differing views on the nature of causality in QM and relativity, with no consensus reached on whether QM can be considered acausal or how it relates to relativistic principles. The discussion remains unresolved with multiple competing interpretations presented.

Contextual Notes

Participants highlight the contextual differences in the meaning of causality between QM and SR, noting that the definitions and implications may vary significantly. The discussion also reflects ongoing debates about the completeness of QM and its interpretations in light of relativistic effects.

Who May Find This Useful

This discussion may be of interest to those studying the philosophical implications of quantum mechanics and relativity, as well as researchers exploring the foundations of these theories and their interpretations.

ensabah6
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According to Heisenberg uncertainty principle, certain events such as double slit and decay of an atom has no causal history, hence a violation of causality, uncaused events.
But relativity states faster than light travel violates causality.

Since quantum mechanics does not respect causality, why should sending information faster than c do so?
 
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In these two cases the word "causality" is used in different contexts and has different meanings.

When in QM we say that atomic decay is not causal we mean that there is no identifiable physical reason for the atom to decay at this particular moment.

In SR we are dealing with two classical events A and B, such that A is definitely a cause of B. The causality postulate demands that A happens earlier than B in all reference frames. If information travels superluminally from A to B, then one can find a reference frame in which the effect (B) occurs earlier than the cause (A). This violates the causality postulate.

Eugene.
 
meopemuk said:
In these two cases the word "causality" is used in different contexts and has different meanings.

When in QM we say that atomic decay is not causal we mean that there is no identifiable physical reason for the atom to decay at this particular moment.

In SR we are dealing with two classical events A and B, such that A is definitely a cause of B. The causality postulate demands that A happens earlier than B in all reference frames. If information travels superluminally from A to B, then one can find a reference frame in which the effect (B) occurs earlier than the cause (A). This violates the causality postulate.

Eugene.

So if the two events are quantum, A and B, then there causality would not apply?
 
Only if the event is superluminous. It is the act of exceeding light speed where time becomes skewed. Thus if A causes B.. B could happen before A.
 
ensabah6 said:
So if the two events are quantum, A and B, then there causality would not apply?

The issue is the word "causality". It means different things to different people.

In QM, things do not happen for known reasons. They instead follow laws of chance. Those statistical laws are very useful. But they do not - at this time - allow for one to say definitely that "cause A leads to effect B". So QM is considered acausal. Some do not accept this, but the experimental results appear to support it. There is no actual evidence that there is any direct cause to the outcome of a quantum event.

An example would be radioactive decay. Or actually, any decay event.
 
DrChinese said:
The issue is the word "causality". It means different things to different people.

In QM, things do not happen for known reasons. They instead follow laws of chance. Those statistical laws are very useful. But they do not - at this time - allow for one to say definitely that "cause A leads to effect B". So QM is considered acausal. Some do not accept this, but the experimental results appear to support it. There is no actual evidence that there is any direct cause to the outcome of a quantum event.

An example would be radioactive decay. Or actually, any decay event.

Oh my mistake. I didn't even address the contextual difference.

This corresponds to the random production and destruction of photons as well right?
 
DrChinese said:
So QM is considered acausal. Some do not accept this, but the experimental results appear to support it. There is no actual evidence that there is any direct cause to the outcome of a quantum event.

DrChinese, (I have wanted to ask you about this once. :smile:)

Can you say the experimental results such as the fine structure(like one between 2P1/2 and 2P3/2) also support the "probabilistic" acausal idea?
You are probably talking about the acausal Schroedinger equation (S.E.) which shows the probability density.
But the "probabilistic" S.E. can't explain the relativistic effects (including the spin-orbital interactions).
So it is "incomplete".

On the other hand, the Dirac equation (D.E.) which satisfies the (relativistic) causality can explain this relativistic effects.
Of course, D.E. is not "probabilistic".(= D.E. doesn't show the probability density.)

As shown in this site, As the atoms become heavier (which means the atomic nucleus charge becomes larger), the experimental results become more different from that of S.E., because the electon's speed becomes faster.
In S.E., irrespective of the nucleus charge, the electrons of any atoms are all static as electron clouds obeying the probability density, aren't they?

[To be precise, in D.E., only one of plus or minus energy solutions is not causal. And if we use the Coulomb force, it is not causal. But as an approximation, D.E. is superior to S.E.]

I think QM always contains the "vague" parts like this (which will continue forever, as long as QM continue).
Over 80 years have passed since the QM appeared.
But the discussions like the "interpretation" continue even now.
(Here, I'm not talking about the interpretation of QM, but talking about the "inconsistency" between the relativistic and nonrelativistic QM.)

In QM, the relativistic QM is superior to the nonrelativistic QM in the experimental results.
But, are you saying "acausal" QM is superior ?
Of course, "Photons" which satisfy the Maxwell's equation are "relativistic" particles, too.
 
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lol.

80 years is a blink of the eye in any science.
 

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