Is observability restricted by scale ?

[An Average Joe]

I read somewhere something about observability, and things which are infinitely big, or infinitesimally small.

Basically, the question is whether it would be possible to make an observation of an infinitely long yardstick. If it existed, could you observe it in it's entirety ? is it possible ?

Same argument for the infinitessimally small, disregarding Planck length for the moment - would it even be "possible" to observe the infinitessimally small ?

Thanks,
Will Kennedy

[Link removed]

 

[rcgldr]

Infinity is an abstract concept. It doesn't really exist in the universe. Once an object (or volume of energy) exists a point in time and space, any change can only result in a finite amount of distance and time passed from the starting point, unless the object ceases to exist.

Even if you were to live "forever" your age would alway be finite since you exist now. If you were to travel "forever", your distance from the starting point would always be finite, since you existed at the starting point.

 

[sir-pinski]

Observability is the ability to gather information and make observations about a system or object. It is not restricted by scale, but rather by our current technological capabilities. The concept of observability does not change based on the size or scale of the object being observed.

In theory, it is possible to observe an infinitely long yardstick if it existed. However, our current technology and methods may not be able to capture the entire length of the yardstick at once. We may need to use multiple instruments or techniques to observe different sections of the yardstick and piece together the information to get a complete picture.

Similarly, the infinitesimally small can be observed, but it may require advanced tools and techniques such as electron microscopes or particle colliders. These tools allow us to observe and gather information about objects at a microscopic level, which was once thought to be impossible.

Therefore, observability is not restricted by scale, but rather by our current capabilities and technology. As our technology advances, we may be able to observe and gather information about objects at even larger or smaller scales. The concept of observability remains the same, but our methods and tools may change.