Equivalence of space and time

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History

Albert Einstein revealed the equivalence of energy and mass.He put that into his famous equation E = m * c², that means that energy and mass are increasing and decreasing in the same proportion. So we have an energy of 3. That means we have a mass of 3. The units of measurement are left away. The speed of light c equals 1. c² equals 1, too. That comes from the division of Planck time and Planck space, that both equal 1, too.

Theory

Space and time are equivalent measures. They are both quantized. That means that they come in impacts as a multiple of a basic unit. Mahtematically spoken:

space = Planck length * natural number

and

time = Planck time * natural number

So how can we conclude the equivalence. You see both are proportional to a natural number. Critically seen, youcan say that you have to differ between natural number m and natural number n.

So we assume two different numbers m and n. And make a complete induction.

We put the both upper equations together: v = (m/n) * c.

So let's look at the case n = 1:

Time is now exactly a Plack time. So let's go through the possibilities.

m = 0. That means that space is 0 and time is 1. So speed v would be 0 / 1 = 0. Einstein said that nothing stands still, so speed cannot be zero. So m = 0 is false. m = 1. Therefore the speed would be 1 or physically c, the speed of light. m > 1. So if m would be greater 1, the speed would be higher than c, which was excluded by Albert Einstein, too. So it is proven that for n = 1, it is true that v equals the speed of light.

Let's conclude from n to n + 1 n -> n +1:

That's simple. So we have n = m, and add on both sides a one. so we have n + 1 = m + 1, which is also true, as we assumed n = m. If n equals m, so n + 1 equals m + 1. So v = c is true in every cases following complete induction.

Conclusions

So we have

v = c,

that means that speed is always the speed of light. Because of speed being the division between space and time, we have also the equation s = t * c, or s = t, if we assume c being 1. Space and time are developing the same way. They are equivalent measures. But there is also the superluminal speed of forward.

Links

Essay and proof, translation together with Bernhard Hagen