As I stated above I don't want to get into the absolute maths, I don't pretend to understand it myself. You can google Minkowski where you will find lots of details. My point and the point of the quote is that time is treated very differently to any of the other dimensions. If you wish to go any deeper than that then you would really need to go to a physics forum.
However yes c is the speed of light but d is not anything per se. it is a differential equation where d refers to the difference in a value so dx is the difference in the x coordinate etc. Here is a quite nice brief simplified description of the equation though:
Re: What is the Minkowski metric?
All I'm trying to do here is show that time, the 4th dimension, cannot be and is not treated the same as the three spatial dimensions using one of the most fundamental triognometrric equations - Pythagorus, which gives the distance between two points in 2 dimensions as:
s^2 = x^2 + y^2
Where x^2 is x squared (I can't be bothered generating superscripts )
in 3 dimensions we have
s^2 = x^2 + y^2 + z^2
But in 4 we can't simply add time in the same way; most importantly we have to reverse the sign:
s^2 = x^2 + y^2 + z^2 - c^2t^2
My only real point being that time is different.
However yes c is the speed of light but d is not anything per se. it is a differential equation where d refers to the difference in a value so dx is the difference in the x coordinate etc. Here is a quite nice brief simplified description of the equation though:
Re: What is the Minkowski metric?
All I'm trying to do here is show that time, the 4th dimension, cannot be and is not treated the same as the three spatial dimensions using one of the most fundamental triognometrric equations - Pythagorus, which gives the distance between two points in 2 dimensions as:
s^2 = x^2 + y^2
Where x^2 is x squared (I can't be bothered generating superscripts )
in 3 dimensions we have
s^2 = x^2 + y^2 + z^2
But in 4 we can't simply add time in the same way; most importantly we have to reverse the sign:
s^2 = x^2 + y^2 + z^2 - c^2t^2
My only real point being that time is different.
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