“This would happen since the surface would describe an ‘insulating’ surface (using the temperature analogy) in terms of the interactions present, which would be cut off in one space dimension along the surface (the object).”
“At the edges, the shortest path for information flow would be around the edges, and that information exchange would reshape the space-time compared to its shape in the vacuum configuration.”
“This bending can be also be compared with how heat flows past edges of insulating surfaces vs how it would flow in an absence of insulation, in the temperature analogy.”
BLACK VS WHITE.
“Note that relative geometry refers to the space-time configuration, and ‘relative’ refers to that it only makes sense as a comparison between obstacle vs pure vacuum scenarios.”
FLAT VS CURVED.
“In modelling relative geometry, we will use vacuum configurations as reference frames for the metric configurations, illustrating metrics that are flat, but different relative to a set of reference points.”
“To describe the different space-times, it is necessary to discuss particle paths delineating the space-time configurations. Light rays are frequently employed for that, but any particle path would be affected by a change in the space-time metric.”
“The relative geometry is not defined by particle motion. Particle motion is only an effect of the metric.”
THE RELATIVE GEOMETRY.
“The relative geometry is defined by the configuration of the present obstacles, and by the interaction properties at the quantum level. In this, light just happens to have two roles, first as one example of information flow (information exchange with massless properties) and secondly as light rays delineating the metric.”
IT FOLLOWS THAT.
“Since flat space-time is well-known, any observable effects should be well-known as well.”
“Interestingly, our example of an insulating surface above has a direct parallel in e.g. a disc giving rise to particle diffraction, an example of the wave-particle duality. This type of effect is present for any configuration of apertures or edges.”