📘 From Collapse to Space

A Pre-Geometric Construction of Spatial Reality

Based on the Collapse Tension Substrate (CTS)

---

「始まりは章ではない。制限である。」
Before knowledge, we declare what may not yet exist.

---

Overview

This is a college-level textbook, not a manifesto and not a paper. Structure first, assumptions explicit, ascent disciplined.

Beginning at Chapter 0.0 and ending only when space is unavoidable.

No geometry is assumed until it is earned.

---

Table of Contents

Part 0: Orientation

• 0.0 Preface: Why Space Must Be Built
• 0.1 How to Read This Book
• 0.2 Methodological Rules

Part 1: The Collapse Tension Substrate

• 1.0 The Collapse Tension Substrate — Permission without position

Part 2: The First Difference

• 2.0 The Necessity of Difference — Asymmetry without distance

Part 3: Direction Without Space

• 3.0 Direction as Process — Order without extension

Part 4: Memory Without Area

• 4.0 Why Memory is Required — Return without area

Part 5: Locking Recursion

• 5.0 Why Stability Requires Locking — Stability without volume

Part 6: The Birth of Space

• 6.0 The Birth of Space — Coexistence without collapse

Part 7: Relation to Known Physics

• 7.0 No Contradiction with Known Physics

Part 8: Implications and Extensions

• 8.0 What Changes

Appendices

• Appendix A: Glossary of Pre-Geometric Terms
• Appendix B: Formal Rules
• Appendix C: Comparison Table
• Appendix D: Symbol Index

---

The Ascent Stack (Locked)

Stage	Chapter	Achievement
CTS	1.0	Permission without position
Difference	2.0	Asymmetry without distance
Direction	3.0	Order without extension
Memory	4.0	Return without area
Locking	5.0	Stability without volume
Space	6.0	Coexistence without collapse
Physics	7.0	Relations within emergent space

No steps may be removed. No steps may be reordered. This is not narrative. It is necessity.

---

Final Definition

Space is the capacity for multiple persistent recursive structures to coexist without mutual exclusion.

It is not substance. It is not emptiness. It is not a thing.
It is a resolution of conflict.

---

「空は説明された。これ以上、語らない。」
Space has been explained. Say no more.

---

📂 GitHub Repository: 0.0_Space