Why Do Physicists Care About Causality?

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SUMMARY

Physicists prioritize causality as it is essential for developing predictive models and theories in physics. The discussion highlights that while mathematics can function independently of causality, physical theories require causal relationships to accurately describe natural phenomena. The Big Bang is cited as a non-causal event, challenging traditional notions of causality. Additionally, concepts such as quantum field theory (QFT) and dispersion relations illustrate the intricate relationship between causality and physical laws.

PREREQUISITES
  • Understanding of quantum field theory (QFT)
  • Familiarity with dispersion relations and Kramers-Kronig relations
  • Knowledge of path integral formalism in physics
  • Basic concepts of determinism and probabilistic frameworks in nature
NEXT STEPS
  • Study the implications of causality in quantum mechanics
  • Explore the role of dispersion relations in particle physics
  • Research the path integral formalism and its applications
  • Investigate the philosophical implications of time travel on causality
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Students of physics, researchers in theoretical physics, and anyone interested in the foundational principles of causality in scientific theories.

ChrisVer
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In fact I don't know if I'm supposed to say it here, but why do physicists care so much about casuality? It seems as if we are trying to impose something "logical" to us over nature...In fact mathematics don't need casuality in the first place to work, right?
So what is so strongly suggesting to us that nature should be casual? For example, from what I understand so far, the Big Bang was not casual -it just happened-. Also a probabilistic view of nature is going against determinism and thus casuality as well [cause→result]. That's because a 'cause' event A can give you the B_i 'result' events...as an example of this I'm looking into path integral formalism, which actually takes the integral of every path, casually connected or not, to give the final result.

I'm not really trying to hit casuality [apart from the misleading title which I can't change anymore], but see how it can be on par with what I mentioned above.
 
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In general, the kind of people that are interested in understanding Nature and have the determination to learn the mathematics necessary and put in all the time to study the physics properly to become physicists put less importance in social interactions or, more properly, social norms. Therefore, they care less about the perception others have about them and will often go for what is more confortable or takes less effort. For instance, socks and Birkenstock are fine, who cares what people think!

Or did you mean causal instead of casual? :wink:
 
Hello,

Somehow, causality rather refers to models, theories.

Causal relationships are what allows to predicts future events.

Patrick
 
DrClaude said:
In general, the kind of people that are interested in understanding Nature and have the determination to learn the mathematics necessary and put in all the time to study the physics properly to become physicists put less importance in social interactions or, more properly, social norms. Therefore, they care less about the perception others have about them and will often go for what is more confortable or takes less effort. For instance, socks and Birkenstock are fine, who cares what people think!

Or did you mean causal instead of casual? :wink:

Well i cried laughing... but yes I meant causality/causal etc...It was a post right before I went to sleep...
 
ChrisVer said:
In fact I don't know if I'm supposed to say it here, but why do physicists care so much about causality? It seems as if we are trying to impose something "logical" to us over nature...
I would have said the opposite. i.e., that causality must be an essential ingredient to our theories to model physical situation successfully. E.g., energy needs to be bounded below, even though Poincare invariance by itself makes no such imposition.

In fact mathematics don't need causality in the first place to work, right?
Well, mathematicians need very little from the real world in order to work (except maybe a pencil and paper). :biggrin:

So what is so strongly suggesting to us that nature should be causal?
Past and future are manifestly not interchangeable.

For example, from what I understand so far, the Big Bang was not casual -it just happened-.
Using the word "happened" like that implicitly suggests there was a time "before" the Big Bang, which is not what modern cosmology theory says.

Also a probabilistic view of nature is going against determinism and thus casuality as well
A non-deterministic quantum framework can also respect causality -- since the quantum framework is just a way to represent a dynamical group (or semigroup!) unitarily, with a statistical interpretation. Indeed, QFT is only as successful as it is because it's constructed in terms of causal field representations of the Poincare group (i.e., not just any representations). Moreover, in scattering theory, the spaces of "in" and "out" states are distinct. The scattering operator is then a mapping from the former to the latter.

Another manifestation of the importance of causality in nature is the applicability of dispersion relations (aka Kramers-Kronig relations). Take a look at the early chapters of Nussenzweig's book on causality and dispersion relations to see the important link between causality and energy-analyticity.

[cause→result]. That's because a 'cause' event A can give you the B_i 'result' events...as an example of this I'm looking into path integral formalism, which actually takes the integral of every path, causally connected or not, to give the final result.
The path integral still relies deep down on an assumption that energy is bounded below, and that we go "from" an initial state "to" a final state.
 
Currently accepted understanding in science is probably the best way to look at it. If time travel were proven possible tomorrow, causality would be violated (and vice versa). What is interesting is that current understanding of science (with experimental verification!) would allow your son to be older than you, but still would not allow him to be your father! Chew on that.
 
adrian_m said:
If time travel were proven possible tomorrow, causality would be violated (and vice versa).

Can you elaborate on that?
 
nitsuj said:
Can you elaborate on that?

You would probably know the often used example: If you went back in time and killed your grandmother before your father was born, then you couldn't have been born. But you are there just the same! So causality is violated.

Since causality is assumed to hold under all circumstances, the inference is that time travel is impossible.
 
About the grandpa paradox
https://www.physicsforums.com/showthread.php?t=768968

Post #15 was the one that led me (lit the flame on the already existing gunpowder of probabilistic nature-and my misconception of thinking causality was a result of determinism) in creating this thread, together withh the answer at P#16 which I didn't understand well...if there are some references?
 

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