Repeated measurements and granular space time

In summary, "Repeated measurements and granular space time" explores the implications of taking multiple measurements within a framework of a discrete or granular understanding of space and time. It discusses how the granularity affects the precision and reliability of measurements, as well as the theoretical underpinnings that relate to quantum mechanics and relativity. The study emphasizes the importance of considering the structure of space-time when interpreting measurement outcomes and suggests that repeated measurements can provide insights into the fundamental nature of reality at a granular level.
  • #1
Heidi
418
40
Hi Pfs,
I would like to know if it would be possible for our known theories to derive
conservation laws if space time was really granular.
I think that entanglement is the only process which would succeed.
 
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  • #2
Our known theories assume continuous spacetime. To derive something in granular spacetime we need models that have it built in. And we don't, at least not developed to the point where we can derive conservation laws.
 
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  • #3
There was already a thread about this question not too long ago: https://www.physicsforums.com/threads/conservation-of-energy-in-quantum-gravity.1061153/

"Conservation laws" can mean many different things in gravity. The most conservative and well-understood of these, asymptotic boundary conservation laws, would apply just as well in quantum gravity, when you have asymptotic boundaries. Asymptotic boundaries are typically fixed boundary conditions in the gravitational path integral.

If you are asking about quasi-local conservation laws then the situation is more complicated as it is not clear how to specify subregions in quantum gravity. But it would be surprising if some form of conservation laws didn't hold. If you have no asymptotic boundaries and you aren't fixing some bulk subregion in the gravity path integral (which again is poorly understood) then you just have the pure gravitational constraints.
 
  • #4
Would it be possible that severall conservation laws could be explained by the fact
that we have processes vhich do not depend on space or time?
Entanglement seems to be not local.
Take the the Foucault's pendulum. It oscillates in a plane that does not depend on
the rotarion of the earth, the position of the sun or other stars. It only depends on
the initial choice , not on far objects.
 
  • #5
Heidi said:
Would it be possible

Everything is possible and nothing is possible if we don't have any concrete model at hand.

Heidi said:
Take the the Foucault's pendulum. It oscillates in a plane that does not depend on
the rotarion of the earth

In Earths frame of reference it surely does depend on its rotation.
 
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FAQ: Repeated measurements and granular space time

What are repeated measurements in the context of granular space-time?

Repeated measurements refer to the process of taking multiple observations of the same physical quantity in a granular space-time framework. This concept acknowledges that space and time may not be continuous but instead consist of discrete units or "grains." These repeated measurements help to understand the statistical properties of physical phenomena and can reveal underlying patterns that may not be apparent in a continuous model.

How does granular space-time affect the interpretation of experimental data?

Granular space-time can influence the interpretation of experimental data by introducing uncertainties and variations that are not present in classical continuous models. When measurements are taken in a granular framework, the results may reflect the inherent limitations of the measurement process itself due to the discrete nature of space and time. This can lead to new insights into the behavior of systems at small scales and challenge traditional notions of determinism and continuity.

What are the implications of repeated measurements in quantum mechanics?

In quantum mechanics, repeated measurements can lead to different outcomes due to the probabilistic nature of quantum states. The concept of granular space-time adds another layer of complexity, as the granularity may affect the wave function collapse and the outcomes of measurements. This interplay can provide a deeper understanding of quantum phenomena and may suggest new interpretations of quantum mechanics that incorporate the discrete nature of reality.

Can repeated measurements in granular space-time lead to new physical theories?

Yes, the exploration of repeated measurements in granular space-time can potentially lead to new physical theories. By analyzing how measurements behave in a discrete framework, scientists may uncover new principles that govern the behavior of matter and energy at fundamental levels. This could pave the way for novel approaches to unifying general relativity with quantum mechanics or developing theories that better describe the fabric of the universe.

What challenges do researchers face when studying repeated measurements in granular space-time?

Researchers face several challenges when studying repeated measurements in granular space-time, including the mathematical complexity of modeling discrete structures, the difficulty in designing experiments that can accurately capture the effects of granularity, and the need for new statistical tools to analyze the resulting data. Additionally, reconciling these findings with established theories and experimental results can be a significant hurdle in advancing our understanding of fundamental physics.

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