Based on our current understanding of time and space it appears it is infinite. The truth is we simply don't know enough about it to say for sure though. Space is so large that it will likely be thousands of years until we fully understand the extent and possible limitations of space and time.
For any distance or time that is divided by 2, you can never get 0 as the answer. There will always be a smaller non-zero fragment. In this sense you can divide space and time infinitely. HOWEVER, whether space and time are infinite is a completely different argument to be analyzed.
Between any two points in space; an infinite number of infinitely small locations (points) can be plotted. Between every point; an infinite number more can be plotted. If this is not the case, then what is the technical limitation preventing this? The same goes with time - between any two points in time are an infinite number of unique "snapshots" of time.
It is hard to say because there are very many mysteries of the universe that man has not found. As of know, I believe space and time are divisible because mathematics is the universal language. Anything is possible when we find out the correct formula for time and space in mathematics.
Yes, I believe in the notion that space and time are infinitely divisible, and that each will go on and on for the rest of time. I believe that there is no human way to truly comprehend just how divisible space and time are, and that they can go forever.
When a photon is emitted it happens in a very precise moment, the shortest piece of time possible. It means that there must be gaps of time continuum between moments. If time would be continuous how it would be possible to consider the light speed as a nature constant? It would vary, Two different photons emitted from the same source and moving the same distance would take different time to reach the same target.
If space was infinitely divisible motion, matter, time or space itself could not exist. This is a very important issue that physicists seem to brush under the carpet... It has massive implications for quantum mechanics. There is nothing in reality that is infinite since nothing can occupy infinite space, or traverse infinite distance. If we were to consider an infinite number of plotable points between two spaces than any matter occupying space must be infinite, and any object traversing space must be traveling an infinite distance. This is obviously not possible even considering the mathematics of finite infinite series. This is common sense if you think about it. In Mathematics we use infinity but it is a construct and not real... For example... Pie is a finite thing when expressed in radiums but when put into our base 10 system it becomes an infinite number... In reality it is finite, in our evolved brain and numbering system it doesn't divide and therefor gives an infinite number. But the infinite number doesn't really exist, that is to say all numbers of pi have never been produced and it would be impossible to produce since there would always be one more number. This is a logical error that points strongly to infinities non existence.
I suspect that space is not infinitely divisible. At very small scales it appears to be described by quantum physics and uncertainty wherein reality starts to 'brake down' (at least in the sense that we experience it at larger scales) : particles exist only at the probabalistic level, they dip in and out of reality - i.e. there seems not to be a stable unit of space below a certain limit. I think this may also apply to time as it is a function of the same thing - Einsteins space-time equations. If an object can only be stable and exist if it occupies at least one unit (or multiple of units) of space, then perhaps the same can be said of time - something must exist for at least one 'unit' of time to exist at all, and I suppose even macroscopic masses of space only exist at the probabalistic level when viewed for very short ''quantum'' scale levels of time.
If one holds to that theory, then there would certainly be nothing to debate concerning the possibility of the end of the world. And if the world ends, is that just the end of that particular space, and associated time. Do time and space therefore run consecutively, or are they separated within the possibility that although one may end, the other can continue on infinitum? I hope the senselessness of my previous comments shed some light on my feelings about this general topic. The thoughts surrounding infinite divisibility of everything from philosophy to physics, etc. Have been being tossed around in the air, (which is actually free space right), and when someone comes up with an educated answer, supported by more than just self-fabricated opinion, please let me know. Until then, does anyone have the “time”?
The most advanced physics that we comprehend today still suggest an entanglement between space and time. It is as if the two can be plotted on a graph, one on the x-axis, and the other on the y-axis. The more you go in the space direction, the less you go in the time direction. This shows that it is possible to slow time for yourself and also that the two are not divisible.