Building a Universe from Boundaries Alone

Why old ideas cause problems

Most thinkers start with stuff. They imagine tiny bits, force fields, or smooth space as the base of reality. This always leads to hard questions. Where did the stuff come from? Why is there mind and matter? The paper says we should start with an action instead. The action is drawing a line between inside and outside. This line has no weight, size, or duration. It is pure separation. Everything else comes later from how many lines connect.

The paper calls this starting point a boundary token. It is not a thing you could hold. It is the act of telling apart. You cannot ask what it is made of. That would be like asking what a question is made of. The token only works with a background of no boundaries. This background is called the void. It is not empty space with hidden energy. It is pure undifferentiated potential. The boundary and the void need each other. Without contrast, neither has meaning.

How boundaries combine

Two actions build all structure. First, placing boundaries side by side. This creates width and neighbor relationships. Second, drawing a boundary around existing boundaries. This creates layers within layers. These two actions alone generate every possible arrangement. The paper calls valid arrangements well-formed expressions. Reality consists of those expressions that stay stable when simplified.

How structures simplify

Two rules cut complexity down. The first rule removes doubled identical boundaries. Two same marks next to each other become one. Repeating a distinction in the same spot adds nothing new. This stops endless stacking of sameness. The paper links this to why identical particles refuse to share the same state in physics.

The second rule cancels nested opposites. A boundary drawn around another boundary wipes both away. This returns the local area to void. The paper compares this to matter meeting antimatter. Both vanish. These two rules work locally without central control. They let large structures emerge from many small simplifications happening at once.

What this does not show

The paper admits many limits. We cannot observe the deepest nesting level if one exists. We cannot simulate the massive parallel simplification for big systems. The absolute bottom of the hierarchy may be unreachable. We do not know if stable configurations will ever run out. The paper also says our models only approximate how many stable expressions exist. Direct observation of the boundary collapse itself is impossible. We only see large-scale results.

Words used here

boundary token

the basic act of drawing a line between inside and outside, with no physical properties of its own

void

the undifferentiated background that makes any boundary meaningful by contrast

well-formed expression

any pattern built legally from the two combining actions

idempotence

the rule that identical repeated marks in the same place count as one mark

involution

the rule that a boundary around a boundary cancels both back to void

Learn more in plain language

• Mathematical logicWikipedia (English, more technical)
• Quantum mechanicsSimple English Wikipedia
• Particle physicsSimple English Wikipedia
• Information theorySimple English Wikipedia
• Philosophy of mindSimple English Wikipedia