The relationship between space and the quantum field is a topic of ongoing scientific research and exploration. Our current understanding suggests that space and the quantum field are intimately connected, but the exact nature of this connection is still an area of active investigation.
In the framework of quantum field theory, particles and fields are described as excitations of quantum fields that permeate spacetime. These fields exist everywhere in space, and their interactions and fluctuations give rise to the properties and behavior of particles. So, in a sense, the quantum fields are intricately intertwined with the fabric of spacetime.
However, when it comes to the specifics of how space and the quantum field are connected, there is much more to be discovered. Our current understanding is based on theoretical frameworks such as quantum field theory and general relativity, but these theories have their limitations and are not yet fully reconciled. The search for a complete theory of quantum gravity aims to provide a more comprehensive understanding of this connection.
As for the measure to determine the proximity or separation between space and the quantum field, it is not well-defined in our current understanding. The nature of this connection is still an active area of research, and scientists are exploring various theoretical models and experimental approaches to better understand the fundamental nature of spacetime and its relationship with quantum fields.
It's important to note that any undiscovered phenomena or new theoretical frameworks that may emerge would need to be supported by empirical evidence and consistent with existing experimental observations. The quest to uncover the nature of the connection between space and the quantum field is a fascinating and ongoing endeavor in the field of theoretical physics.