Is Physics Truly Scale-Dependent and How Does Decoupling Occur?

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In summary, the conversation discussed the scale-dependency of physics and how it results in different degrees of freedom and dynamics at each scale. This requires different theories to be applied at different scales. It was also mentioned that physics at a larger scale decouples from physics at a smaller scale, with only a finite number of parameters being necessary for describing the larger scale. This decoupling is essential in our current understanding of the world, as it eliminates the need for complex theories such as quantum field theory to describe the motion of rigid bodies. The conversation also touched on the topic of how this decoupling occurs and why information is transmitted from scale to scale through a finite number of parameters. The concepts of the correspondence principle, invariance principles,
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samalkhaiat
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Hi,
I would like to know your thoughts about the following two fact in physics;

1) Physics is scale-dependent; at each scale of distences we have different degrees of freedom and different dynamics, we need a different theory.
2) Physics at a larger scale decoples from the physics at smaller scale. More precisely, a theory at a larger scale remember only finite number of parameters from the theories at smaller scale. For example, if we want to describe atoms, we do not need to know anything about the nucleus except its mass and charge. This decopling is the reason behind our current understanding of the world.If there was no decopling, it would be necessary for us to know quantum field theory to bescribe the motion of rigid body.

The aim is to explain;
1) how this decopling takes place,
2) why information is transmitted from scale to scale through finite number of parameters.

Try to incorporate in your thoughts as much as you can of the following;
i) correspondence principle,
ii) invariance principles,
iii) renormalization group methods.

thanks

sam
 
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What is scale-dependent knowledge?

Scale-dependent knowledge is a concept that refers to the understanding that different scales or levels of analysis can lead to different conclusions and interpretations of data or phenomena. It recognizes that the size or scope at which something is observed or studied can greatly influence the knowledge gained from it.

How does scale-dependent knowledge apply to scientific research?

In scientific research, scale-dependent knowledge is important because it allows for a more comprehensive understanding of a particular topic or phenomenon. By considering different scales, researchers can identify patterns and relationships that may not be apparent at a single scale. This can lead to more accurate and nuanced conclusions.

What are some examples of scale-dependent knowledge in scientific studies?

One example is the study of climate change, which requires understanding of both global and local scales. Another example is the study of animal behavior, which can be influenced by factors at both individual and population levels. Additionally, the field of ecology heavily relies on scale-dependent knowledge to understand how ecosystems function.

What are the challenges of incorporating scale-dependent knowledge into research?

One challenge is the availability and accessibility of data at different scales. It may also require specialized techniques and tools to analyze data at different scales. Another challenge is the potential for conflicting conclusions at different scales, which can make it difficult to draw overarching conclusions.

How can scale-dependent knowledge be applied in real-world situations?

Scale-dependent knowledge can be used in many real-world situations, such as urban planning, resource management, and environmental conservation. By considering different scales, decision-makers can better understand the potential impacts of their actions and make more informed decisions.

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