Here's a little thought experiment about information and the geometry of thoughts.

**Rules**
Consider the following mini-game with two players (Blue and Red). On each turn, a player can move one square up, down, left, or right in a 3x3 matrix.

To win the game, a player must "eat" the other as illustrated below.

**Thought Experiment**
We have already discussed in this thread how the possible combinations/events/states of a game are already stored in the information field (which we are told resides in consciousness), long before we get to mechanistically "compute" them. Discovery seems to be a trademark of the Universe.

(Pierre) Would you say then that the information field contains already ALL possible information?

A: Yes

Now, let's augment the game by progressively attaching new squares to the top left square of the 3x3 matrix (see below). These newly attached squares are added along a single axis (the y-axis). Obviously, the game will have more possible states as both players will be able to use this new path to attack or escape. It appears as though the initial 3x3 matrix is the starting point from which a straight line is born. But what happens if an infinite number of squares is added? Do the squares end up reconnecting with the starting 3x3 matrix? If you were to tile these squares this way physically (i.e. walk and then place a new square on the ground and so on), they would eventually reconnect with the starting 3x3 matrix because of earth's round shape. Once the circular path is completed, both players are attacking each other and escaping from each other at the same time. There is no more "beginning" and no more "end" to the chase.

When we imagine a straight line, is the line necessarily curved in the thought realm?

In other words, is the Universe embedding or translating linear structures into circular structures by default?

Is linearity subjective and circularity objective?