No. The OBSERVED or APPARENT size will depend on distance but the actual will not.Flying_Dutchman said:A point is taken as an example of a 1D, a plane 2D and a sphere is 3D. If a point is viewed say at 1000x enlarged the point appears as a plane similarly if we a view a large sphere from very far it does appear as a dot. So can we say that dimension are relative to the observer ? Had our sights been different would dimension be different ?
No - a point is always a point. If it looks different at any distance then it's an extended object. Similarly an extended object is an extended object always, even if you can't resolve it.Flying_Dutchman said:If a point is viewed say at 1000x enlarged the point appears as a plane
Follow-up question: How do we know?Ibix said:No - a point is always a point.
Flying_Dutchman said:A point is taken as an example of a 1D, a plane 2D and a sphere is 3D. If a point is viewed say at 1000x enlarged the point appears as a plane similarly if we a view a large sphere from very far it does appear as a dot. So can we say that dimension are relative to the observer ? Had our sights been different would dimension be different ?
The point, the plane, and the sphere are all mathematical objects. In physics we create models that make use of these objects. For example, we can model Earth as a point and get a really good understanding of how it behaves relative to other members of our solar system. However, for other purposes we may model a patch of Earth's surface as a plane, like when we are building a house. For other purposes, we model it as a sphere.Flying_Dutchman said:A point is taken as an example of a 1D, a plane 2D and a sphere is 3D. If a point is viewed say at 1000x enlarged the point appears as a plane similarly if we a view a large sphere from very far it does appear as a dot. So can we say that dimension are relative to the observer ? Had our sights been different would dimension be different ?
Yes, dimensions can be relative in certain contexts. In physics, the concept of relativity states that the measurement of space and time can vary depending on the observer's frame of reference. This means that the dimensions of an object may appear different to different observers depending on their relative motion.
Relativity challenges the traditional understanding of dimensions as fixed and absolute. It suggests that dimensions are not independent of each other, but rather intertwined and influenced by the observer's perspective. This has led to the development of theories such as the theory of general relativity, which explains the relationship between space, time, and gravity.
According to some theories, there could be more than three dimensions. In addition to the three dimensions of length, width, and height that we are familiar with, there could be additional spatial dimensions that are too small for us to perceive. These extra dimensions are a key component of string theory and other models attempting to unify the laws of physics.
It is difficult for us to imagine or experience higher dimensions because our brains are limited to perceiving three dimensions. However, some scientists believe that through mathematical and scientific models, we can gain a better understanding of higher dimensions and their effects on our universe.
The concept of parallel universes, also known as the multiverse theory, suggests that there could be multiple universes existing simultaneously alongside our own. In this theory, each universe could have its own set of dimensions, which could be vastly different from ours. This idea is still highly debated and has not been scientifically proven.