章零・零(Chapter 0.0)
Preface: Why Space Must Be Built
「始まりは章ではない。制限である。」
The beginning is not a chapter. It is a constraint.
0.0.1 The Problem
Every physical theory assumes space.
Classical mechanics assumes a stage on which objects move. Quantum mechanics assumes a background in which wavefunctions evolve. General relativity describes how space curves—but does not explain what space is.
Even theories that claim to derive geometry—loop quantum gravity, causal set theory, emergent spacetime proposals—begin with something that already contains proto-spatial assumptions: graphs with nodes, causal orderings with implicit separations, information-theoretic substrates with distinguishable states.
Space is always already there.
This textbook refuses that inheritance.
0.0.2 The Constraint
If space is emergent, then nothing spatial may be assumed at the start.
This is not a preference. It is a logical requirement.
Any derivation that begins with extension, location, distance, or containment has failed before it starts. The burden of this work is to construct space without using space.
0.0.3 What This Textbook Is
This is a pre-geometric construction.
It begins with the minimal substrate required to support difference, and proceeds through a sequence of unavoidable steps until space must appear.
Nothing is added by choice. Every structure is introduced only when its absence creates contradiction.
The goal is not to describe space, but to force its emergence.
0.0.4 What This Textbook Is Not
This is not a manifesto, not a paper, and not a speculative proposal.
It is a textbook: structured, sequential, and designed to be followed from beginning to end.
Each chapter depends on what came before. Skipping chapters is not recommended—it will break the logic.
「空を説明するには、空を忘れよ。」
To explain space, first forget it.