- #1

Paige_Turner

- 44

- 9

$$d = \sqrt{x^2 + y^2}$$

DISTANCE METRIC, 3D:

$$d = \sqrt{x^2 + y^2 + z^2}$$

DISTANCE METRIC, 4D:

$$d = \sqrt{x^2 + y^2 + z^2 - ct^2}$$

You SUBTRACT elapsed time from the spatial distance.

Yes, elapsed time is called "imaginary distance," and vice versa. However:

Assuming the space distance x=y=z=0, then absolute distance (the interval) will be purely imaginary. But

*only the final result is imaginary.*The expression SQRT(-ct²) only becomes imaginary in the final SQRT operation. Elapsed time itself (squared) is subtracted from the spatial distance (squared) in ordinary, non-complex arithmetic.

Elapsed time is negative distance.

Time is negative space.

Add to that the fact that gravitational potential is negative mass-energy, and you have a nice zero-energy universe.

NOTE: Anyone who appeals to the dictionary (or Wolfram) to define length and distance as positive, need not reply.