Odd Space - A series on the universe
I have decided to write a series of entries on some of my better ideas about the nature of the universe and the physics which govern it. Let's get started.
There is no Spoon.
I would like to begin by putting forward a fairly strange but pivotal idea. Time does not exist. To be specific, there is no past or future, only the infinitely small instance which is now.
However saying now is an infinitely short period of time is misleading as it still maintains the concept of time. The present, as you will, is better described as 1. The number 1 has absolutely no dimension, no width, height, nor any other measure then that of it self, 1. This very aptly describes the present as it has no dimension either.
If this is held true how do we progress through existence? Even taking an infinite number of steps we would never progress forward as each step is infinitely small.
Imagine a rocket (the Paradox 1) moving through free space, its engines are currently turned off. Its state at the present is the sum of all previous states from some predefined initial state. Therefor at each instance the state of the rocket is a sum of an infinite number of states. This is important because it allows us to solve the changing state of the rocket, or more allows it to have a state which changes.
Let R(i) be the state of the rocket after it as accumulated i number of previous states or i number of information.
R(i) = R(i-1)/N + R(i-2)/N + ... + R(i-N)/N ; Where N=infinity
To show how this allows state to exist, let R(0) = 1.
Therefor, R(i) = (1 + 1 + 1 + ... + 1)/N results in inf/inf or 1 as this limit goes.
However, let the rocket engage its engine such that it is moving by of 1 for each instance.
R(i) = R(i-1)/N + R(i-2)/N + ... + R(i-N)/N + 1 ; Where the additional 1 is the velocity of the rocket.
This results in inf/inf + inf or 1 + inf. As such the rocket moves from its initial location to its final location in an infinitely small instant. Normally, this would be considered a bit of a problem as in our universe your can't move an infinite speed let alone do so infinitely fast.
But the truth of the matter is you can, and we do all the time. The trick is to realize that the rate at which state propagates in our universe is only observable within the universe. If you where outside the universe, where your state does not propagate you would "observe" the existence (state) of our universe propagate from its initial to its final state instantaneously. I say "observe" specifically as since your state does not propagate, the passing of our universe has no effect on your extra-universal state. Therefor, you would not know that it occurred, or more, could not in fact observe it happening in the sense that your state would incorporate any information about the state of the universe which just flashed in and out of existence.
However, inside the universe state propagates and information exchanges at a rate observable to objects within the universe as their state is propagating at equal rate even if that rate is infinite. This is where we get the concept of time.
Going back to the good ship Paradox 1, and now someone S(i) is observing the rocket moving through space.
R(i) = R(i-1)/N + R(i-2)/N + ... + R(i-N)/N + 1
S(i) = R(i)
However, here S at any i has knowledge of R(i) at the same instance. Even if the observer's existence flashes, well, in and out of existence from the view of an extra-universal observer the intra-universal observer will observe the rocket moving through space the same as any of us.
I believe this is enough for the first post. I will continue next Monday by beginning to delve into how the speed of light works it self into all of this.