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Wednesday, April 27, 2005

Cfj: Euclidean vs Non-Euclidean Space

Call for Judgement

There are currently 3 references in the rules to Euclidean and Non-Euclidean space, all of which are given below as evidence.

Rule 16 - Machinery
Opacity Control Device [Viewing Bay] If any Crewmember is Pulling the Levers on the Opacity Control Device, then all Crewmembers in the Viewing Bay when the Levers are Pulled lose DICE60 Logic from their Logic score as their minds are warped by the sight of non-Euclidean space. Any Crewmember that changes location into the Viewing Bay while another Crewmember is Pulling the Levers on the Opacity Control Device loses DICE60 points from their Logic score.


Rule 24 - Change the Light Bulb
The Caine is currently in Blue Alert Mode, due to its inability to return to Euclidean Space.


Rule 28 - Victory
The Crewmember that causes the Caine to leave non-Euclidean space without damaging the Caine may declare victory.


Notice that nowhere in the rules is there a clear definition of Euclidean and Non-Euclidean space, therefore I must assume that these definitions are the same as those of the real world.
I also provide as evidence the field equations of General Relativity, the most widely accepted theory of gravity in modern physics.



Please note that in any space containing matter the field equations clearly do not allow a non-zero curvature tensor, and hence a flat, or "Euclidean" spacetime.

Therefor, all space is Non-Euclidean and it is impossible to return the Caine to Euclidean space.

If this Cfj passes, I recommend the following changes to the Rules:

Rule 28 - Victory is now meaningless and must be repealed.
The text ", due to its inability to return to Euclidean Space" shall be removed from Rule 24 - Change the Light Bulb.
The text "by the sight of non-Euclidean space" in Rule 16 - Machinery shall be amended to "by the sight of the infinity of space".
Cross Failed 14-1. Failed by smith, 25th of May at 9:17.