Gravity is a fundamental force that governs the behavior of matter and energy in the universe. According to Einstein's theory of general relativity, gravity is not a force in the traditional sense, but rather a curvature of spacetime caused by the presence of mass and energy. This curvature makes it impossible to define a single, universal reference frame, which is necessary for the measurement of local observables.
Local observables refer to physical quantities that can be measured at a specific point in space and time. Examples of local observables include temperature, pressure, and electric field strength. These quantities are typically defined in reference to a specific frame of reference, which is not possible in the presence of gravity.
Gravity affects the measurement of local observables in two ways. Firstly, the curvature of spacetime caused by gravity makes it impossible to define a single, universal reference frame. This means that different observers will measure different values for the same local observable. Secondly, gravity can also cause the distortion of spacetime, making it difficult to accurately measure the distance between two points, which is necessary for the measurement of local observables.
Yes, it is possible to measure local observables in the presence of gravity. However, the measurements will be relative and dependent on the observer's frame of reference. This means that different observers will measure different values for the same local observable. Additionally, the effects of gravity on spacetime may make it more challenging to accurately measure these quantities.
The forbiddance of local observables by gravity has several implications. Firstly, it makes it difficult to formulate a theory of quantum gravity, as it requires the precise measurement of local observables. Secondly, it also limits our understanding and ability to study the behavior of matter and energy in extreme gravitational environments, such as black holes. Lastly, it challenges our understanding of the fundamental nature of space and time, as defined by Einstein's theory of general relativity.