**Time as the 4 ^{th} Dimension**

**"**There is a fifth dimension beyond that which is known to man. It is a
dimension as vast as space and as timeless as infinity. It is the middle
ground between light and shadow, between science and superstition; and it lies
between the pit of man's fears and the summit of his knowledge. This is the
dimension of imagination. It is an area which we call, **'**The Twilight Zone**'**. **"** - Rod Serling ( 1924 - 1975 )

**Ok, so we now know about the Lorentz Transformation Equations. So why is time the 4 ^{th} dimension?**

Here's a simple answer:

1). From the onset of John Harrison's H4 clock - watch [ 1761 - 62 and 1764 ] where

**"**Time of longitude, adjusted for latitude, and hence converted to longitudinal distance traveled **"** and **"** ... John Harrison's **H4** clock - watch [ ... ] relates the idea of time with space - distance **"** already there had been made a direct connection between space - distance and time. [ see: **"**Distance and the John Harrison time clocks which measure it**"** ]

2). Also we know that

from before.

It's obvious that in order to describe the position of an event in spacetime that it essentially takes 4 coordinates, namely ( ).

So there you have it: time as the 4^{th} dimension. It's really just a mathematical physics thing.

**But how do advanced mathematicians actually write all this down?**

This then gives us the *Lorentz Transformation Equations* [ see above ] using some advanced matrix multiplication. Actually we are also verging upon *Tensor Analysis* which is an advanced form of matrix analysis whose usage Einstein made salient in *Special Relativity* mathematics.

In other words, all of the *Lorentz Transformation Equations* can be written as

which is always something to be admired for its mathematical elegance and simplicity!!

**The World's Most Accurate Clock**

source: **"**Top-precision optical atomic clock starts ticking**"**,

Faculty of Physics, University of Warsaw, February 25, 2015