golentan

2009-12-01, 02:32 AM

Okay. I commented on this briefly in another thread, long ago. Inspired by Lycanthromancer, I submit a conundrum for you, my fellow playgrounders.

NOTE: THIS IS NOT THE INVOCATION OF REAL WORLD PHYSICS. IT IS INTENDED AS A THOUGHT EXPERIMENT ON THE LAWS GOVERNING THE DND UNIVERSE.

The Setup: So, I am going to do a thought experiment here. We begin with a line of peasants approaching infinite length and a definite origin, and no DM fiat. They share common initiative, and dexterity (if necessary this may be modified so that initiative travels in order along the line) They all ready actions to seize a pole from their neighbor and then release it when it is seized as a full round action. At the line's origin a pole is delivered. This pole now travels the full length of the line in 6 seconds. However, a number of interesting features are now readily apparent.

1st: Relativity. The pole traverses the full line in a single round (6 seconds). Each peasant takes a full round to pass the item down the line to the next peasant. So, from the perspective of the moving object, one can say that for every unit of length in the line, the amount of time the object perceives itself moving is increased by 6 seconds. As the line approaches infinity, the object will age faster and faster relative to the outside universe, in direct opposition to real life relativity. It has a definite speed, and location, but an indefinite (or undefined) position in time.

2nd: Quantum dynamics. Each peasant takes 6 seconds to pass the object on. This is triggered immediately on the other person holding the pole at the beginning of the round, and takes the full 6 seconds. However, the next person in line also took exactly the same 6 seconds to perform this task. Thus, at the beginning of the round the pole was introduced and all the peasants seized the pole at the beginning, passed it on at the end, and it was delivered. The pole has the bizzarre trait of being an infinite number places simultaneously, but any attempt to break this causes it to materialize as a single object at the point of observation. It possesses no speed or location, but occupies a definite space in time.

3rd: Linear Teleportation. Original credit to Kjones. The amount of time that the pole takes to traverse any distance by railgun is six seconds. The amount of time that each individual holds the object thus scales linearly without affecting their action economy, in inverse proportion to the length of the line. Thus, as the line stretches to infinity, the limit of this is 0 (limit of 1/x as x goes to infinity), thus the amount of time the pole spends occupying any space is 0. The pole therefore has a speed and a definite position in time, but no location.

So, obviously both of these things cannot be true, but both of them fit known data. Which is the proper interpretation? Or, like in real world quantum-relativistic duality, are they both true and I have simply failed to reconcile them so far?

NOTE: THIS IS NOT THE INVOCATION OF REAL WORLD PHYSICS. IT IS INTENDED AS A THOUGHT EXPERIMENT ON THE LAWS GOVERNING THE DND UNIVERSE.

The Setup: So, I am going to do a thought experiment here. We begin with a line of peasants approaching infinite length and a definite origin, and no DM fiat. They share common initiative, and dexterity (if necessary this may be modified so that initiative travels in order along the line) They all ready actions to seize a pole from their neighbor and then release it when it is seized as a full round action. At the line's origin a pole is delivered. This pole now travels the full length of the line in 6 seconds. However, a number of interesting features are now readily apparent.

1st: Relativity. The pole traverses the full line in a single round (6 seconds). Each peasant takes a full round to pass the item down the line to the next peasant. So, from the perspective of the moving object, one can say that for every unit of length in the line, the amount of time the object perceives itself moving is increased by 6 seconds. As the line approaches infinity, the object will age faster and faster relative to the outside universe, in direct opposition to real life relativity. It has a definite speed, and location, but an indefinite (or undefined) position in time.

2nd: Quantum dynamics. Each peasant takes 6 seconds to pass the object on. This is triggered immediately on the other person holding the pole at the beginning of the round, and takes the full 6 seconds. However, the next person in line also took exactly the same 6 seconds to perform this task. Thus, at the beginning of the round the pole was introduced and all the peasants seized the pole at the beginning, passed it on at the end, and it was delivered. The pole has the bizzarre trait of being an infinite number places simultaneously, but any attempt to break this causes it to materialize as a single object at the point of observation. It possesses no speed or location, but occupies a definite space in time.

3rd: Linear Teleportation. Original credit to Kjones. The amount of time that the pole takes to traverse any distance by railgun is six seconds. The amount of time that each individual holds the object thus scales linearly without affecting their action economy, in inverse proportion to the length of the line. Thus, as the line stretches to infinity, the limit of this is 0 (limit of 1/x as x goes to infinity), thus the amount of time the pole spends occupying any space is 0. The pole therefore has a speed and a definite position in time, but no location.

So, obviously both of these things cannot be true, but both of them fit known data. Which is the proper interpretation? Or, like in real world quantum-relativistic duality, are they both true and I have simply failed to reconcile them so far?