Here are a few thoughts of mine that say space can't be curved because it doesn't exist. What we call space is actually the ubiquitous presence of gravitons and photons. Light passing the Sun is refracted because these particles follow curved paths. This naturally means the virtual particles currently theorized to fill space don't exist (only gravitons and photons do).
This might mean (a) gravity and electromagnetism can undergo a particular interaction to form particles with mass (this is supported by Einstein's publication in 1919 of an article suggesting gravity plays a role in the composition of elementary particles), and (b) space, while filled with gravitons and photons, is the absence of the mass-generating interaction.
However, it’s very convenient to simply speak of curved space – just as we say the Sun rises and sets while neglecting to mention Earth’s rotation … or speak of waves travelling without referring to the lack of horizontal propagation - photons merely "bob up and down" like particles of water. Electromagnetism would be caused by a travelling gravitational wave causing excitation of pre-existing photons (either in so-called "space" or in masses like atoms and objects).
Consistent with the unity of space and time, time could be something built into gravitons and photons. I believe these particles (what we call "space") are built from binary digits and topology immersed in the 3rd dimension, that they interact to form mass by a process I call vector-tensor-scalar geometry, and that the 4th dimension of "time" which is built into the particles is the real plus imaginary numbers of Wick rotation.
The results of all models of light and gravity must agree for a model to be valid. Models of forces or subatomicparticles are projections of our idea of things wee in or world. The space time ideas of forces must resultas that agree with that of a definition of a force as anything that accelerates a mass.
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