章六・零（Chapter 6.0）
The Birth of Space
「空間は容れ物ではない。共存の条件である。」
Space is not a container. It is the condition for coexistence.
6.0.1 Why Space Can No Longer Be Avoided
Up to this point, every concept has been introduced reluctantly—only when forced.
Now, avoidance fails.
At 5.0 / 8.0, recursion locked. Persistence appeared. Shells emerged as self-sustaining recursive structures.
The moment more than one such structure exists, a contradiction arises:
Two persistent structures cannot occupy the same recursive condition simultaneously.
This is not a spatial statement. It is a logical one.
To resolve this contradiction, a new capacity must appear.
That capacity is space.
6.0.2 What Space Is Not (Final Rejection)
Before defining space positively, we must permanently discard inherited meanings.
Space is not:
- a background,
- a void,
- an empty container,
- a pre-existing grid,
- an arena in which things happen.
All of these assume what must now be explained.
6.0.3 The Minimal Definition of Space
In this framework, space is defined as:
The capacity for multiple persistent recursive structures to coexist without mutual exclusion.
Nothing more. Nothing less.
Space is not substance. It is permission.
6.0.7 Metric Emerges as Memory
Once coexistence is possible, something subtle happens.
The effort required to maintain separation becomes relevant.
That effort is counted—not in length, but in recursive cost.
From this, distance emerges.
Distance is remembered separation.
Metrics are therefore not fundamental.
They are records of how much recursive differentiation was required to avoid collapse interference.
6.0.11 What Has Finally Appeared
At this stage, we can say—without metaphor:
- Space exists ✔
- But only as emergent capacity
- Not as background
- Not as substance
Space is the shadow cast by persistence.
「空は結果であって、原因ではない。」
Space is an effect, not a cause.
Intent-Tensor-Theory 