What if it's that we are looking at it all wrong?
Say the wave structure of energy tends to synchronize, as a path of least resistance? One big wave is more efficient than many small ones.
So even if the energy itself radiates out, as a path of least resistance, the wave structure coalesces in. Then gravity is not so much a property of mass, as mass is an intermediate effect of this dynamic that is spread across the entire energy spectrum, from black holes to black body radiation.
Consider time; As these mobile organisms, this sentient interface our body has with its situation functions as a sequence of perceptions, in order to navigate, so our experience of time is as the present moving past to future.
The evident reality though, is that activity and the resulting change turns future to past. Tomorrow becomes yesterday, because the earth turns.
There is no dimension of time, because the past is consumed by the present, to inform and drive it. Causality and conservation of energy. Cause becomes effect.
Energy is "conserved," because it manifests this presence, creating time, temperature, pressure, color and sound. Frequencies and amplitudes, rates and degrees.
So the energy goes past to future, while the patterns generated go future to past. Energy drives the wave, the fluctuations rise and fall.
So energy and the information generated effectively go opposites directions of time. Why not opposite directions in space?
Consciousness also goes past to future, while the perceptions, emotions and thoughts giving it form and structure go future to past. Though it's the digestive system processing the energy, the nervous system sorting the information and the circulation system as feedback in the middle.
Consequently the intellectual tendency to see everything in terms of the patterns generated, over the processes generating them.