Space is discrete for mass and continuous for light

Space is discrete for a moving mass and continuous for an electromagnetic wave. We introduce velocity addition rules for such motion, and from these we derive the second postulate of special relativity — namely, that each observer measures the same value of the speed of light. Thus widely accepted derivations, showing that the two postulates of special relativity necessarily lead to the Lorentz transformations, cannot be correct. We contrast the distance-time implications of our velocity addition rules with the Lorentz transformations. Our theory leads to different time measurements by observers and to special relativity's momentum-energy formulas. However, in our theory length of an object remains invariant, and we do not have a time dilation formula that applies between inertial frames. Study of timescales of quasar variability has yielded observational data showing special relativity's time dilation to be inconsistent with the model of an expanding universe; gamma-ray bursts are giving similar results. These quasars and gamma-ray bursts results are consistent with our time formulas. We suggest other experiments where special relativity and our theory give different predictions, and these can further show special relativity to be wrong and our theory to be correct.