# Equivalence of space and time

## Contents

**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.