Examples of progress due to the Copernican Principle?

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Heliocentrism exemplifies the Copernican Principle, illustrating how a significant shift in understanding occurred when humanity recognized its non-privileged position in the universe. The discussion highlights the impact of this principle on scientific advancements, particularly in physics and cosmology. Other notable examples include developments in taxonomy and evolution, where the understanding of life's diversity has evolved through a lens that does not place humans at the center of biological significance. The Copernican Principle continues to influence scientific thought, prompting reevaluations of humanity's role in various fields.
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Heliocentrism is a main example of how a physical law changed due to the Copernican Principle - that is, that we as humans on the Earth are not privileged or special in the universe.

Are there many other examples from the history of science where a major advance in the development of a physical law has arisen from an application of the Copernican Principle?

en.wikipedia.org/wiki/Copernican_principle
 
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Taxonomy and evolution perhaps
 

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