Spacetime is continuously connected, simply. In other words; don't overthink it, it is 'simply' connected. Separability then, is measurable and dependent on light velocity. Typically we don't really question what the speed of time might be, it is subsumed in the measurement space. It beggs the question however of what speed time operates across a separable distance, because it could be anywhere, somewhere between nil and light velocity. A correlation can be made between the continuous connectivity and the continuous exponential function; progressing from (S) towards (s) at an exponential rate from nil, up to an equivalence to light velocity would take more real time than that span could be crossed at spontaneous light velocity. And from (s) decaying to nil at (S') at the inverse rate of exponential growth in the first half of a 1 dimensional soloton, we compound the exponential function, This would require that connectivity is dependent of a bounded interval in the time parameter that physically exceeds light velocity and can be formulated as [(c)^1/e (c)] = 2.143^14 cm/sec where light velocity is taken as the value of 2.997925^10 cm/sec. The physically effective response time of light velocity by invariance measurement across any separable distance then would always empirically resolve as a universal constant in spacetime connectivity, but would be the efficacy of relation of a span of distance in space and a span of duration in time where the speed of passage of time would literally "hunt" for what speed time operates across that separation, and would be a universal constant by virtue of it being the root exponential mean of the limit of the time index [(c)^1/e (c)]. That's about as clear as I can express the idea.
In context of dynamic spacetime imposing continuity of matter and waveform, if we model condensate matter as an exponential time dilation on a single pole, an empirically obtained minimum density of an energy field would exist at a zero boundary of a discretely gravitationally bound mass:energy quantity and the gravitational connectivity would transcend individual masses by virtue of the low density range not exhibiting magnetic, electric and non-elastic response, and could be expected to meld with agregate gravitational domains into a globalized domain. Gravitational compaction of the exponentiated time index to a radial length of equivalent light velocity would condense energy to a matter state at the core volume. It can immediately be seen that each of the primary characteristic density effects are manifestations of density and each density range would be across a light velocity proportion of density gradient, and each incrementalized in simple connectivity to a radial proportion of simply [(c)^1/e] and the radial compaction of the full field simply connected across a radial exponentiation to a (c) radial length from [(c)^1/e (c)]. It can be assumed that at some critical mass accumulation that a proportional density at core would exist at constant density which would be high enough gravitational effect that the rate of translation of light velocity would abruptly equal the maximum time index of 2.143^14 cm/sec in that core volume. Time and space are physically malleable, And where the operation of passage of time would effectively stop, consistent with GR dilation, would be at the horizon of that core, having dilated from equivalent light velocity at the gravitational boundary, there would exist a profound zero boundary condition at that horizon, giving rise to the dynamic generation of electric and magnetic fields. That's it in the proverbial nutshell, jrc
