@north,
You make no sense at all in your reply. Events changes in time. Eg: My plane is in locate x at 3:00 am, and it follows a trajectory to location y at 4:00 am. x, and y are different. The change of event with respect to time is non-zero.
( y-x)/( 4:00-3:00) is not equal to 0.
I don` t know if you have problems reading, but space-time do have physical properties in the sense that you can do experiments, and test the prediction for the theory. In Quantum mechanics, empty space is modeled by a quantum oscillator
Quantum harmonic oscillator - Wikipedia, the free encyclopedia
Energy function is E( n) =( h/2pi) w( n+ ( 1/2) ). The lowest energy is n=0, which is E(0)= ( h/2 pi) w( 1/2). This also what is called zero point energy.
For general relativity, see the quote from wikipedia:
Spacetime - Wikipedia, the free encyclopedia
Quote: In general relativity, it is assumed that spacetime is curved by the presence of matter (energy), this curvature being represented by the Riemann tensor. In special relativity, the Riemann tensor is identically zero, and so this concept of "non-curvedness" is sometimes expressed by the statement Minkowski spacetime is flat.
It saids here that space-time curved by the presence of matter. According to some people, if something has properties, then it exist. Well, space-time must exist, since it has properties of being curved in the presence of matter.
Also from Wikipedia:
Cosmological constant - Wikipedia, the free encyclopedia
Quote:where R and g pertain to the structure of spacetime, T pertains to matter and energy (thought of as affecting that structure), and G and c are conversion factors that arise from using traditional units of measurement. When Λ is zero, this reduces to the original field equation of general relativity. When T is zero, the field equation describes empty space (the vacuum).
The cosmological constant has the same effect as an intrinsic energy density of the vacuum, ρvac (and an associated pressure). In this context it is commonly defined with a proportionality factor of 8π: Λ = 8πρvac, where unit conventions of general relativity are used (otherwise factors of G and c would also appear). It is common to quote values of energy density directly, though still using the name "cosmological constant".
It saids here that if the cosmological constant is non-zero, and the stress -mass tensor T is zero, the modified Einstein field equation describes empty space with energy density, p( rho). This means that in an empty universe with no matter, and energy, there is still space-time, and there is a non-zero energy density associated with the space-time. Space-time surely exist, because how else would there be a non-zero energy density?