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Suppose we are looking from an inertial frame at two events in a region of space-time.

The first event A (0,0,0,0) is the orign of our frame.

The second event is B(10,10,5,15/c) where the 4th corrordinate is time and c is the speed of light.

Then the total interval between the to event is ;

S = X^2 + Y^2+ Z^2- C ^2t^2

=100 + 100 + 25 - 225 = 0 But if look at Distance;

D = (100 + 100 + 25)^0.5 = 15m so the light needs 15/c second to go from A to B

So if the interval of space-time between two event is zero that does not mean that the two events are the the same

Is this strange or only that it is related to our inability to visulize the space-time?

Does this mean that any event in space-time represents unlimited number of events that are zero space-time interval distant from it ?

The first event A (0,0,0,0) is the orign of our frame.

The second event is B(10,10,5,15/c) where the 4th corrordinate is time and c is the speed of light.

Then the total interval between the to event is ;

S = X^2 + Y^2+ Z^2- C ^2t^2

=100 + 100 + 25 - 225 = 0 But if look at Distance;

D = (100 + 100 + 25)^0.5 = 15m so the light needs 15/c second to go from A to B

So if the interval of space-time between two event is zero that does not mean that the two events are the the same

Is this strange or only that it is related to our inability to visulize the space-time?

Does this mean that any event in space-time represents unlimited number of events that are zero space-time interval distant from it ?

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