∞ / SOURCE
A formal model of origin

From the Source
to the World

A reading of emergence: space does not come first, but an undifferentiated origin. From infinity, duality, and structure, the visible world emerges.

0 ∼ ±∞ → ΔG / Duality → Time → Space
01 — Origin

Everything does not begin in space.

The origin is neither a geometric location nor a physical vacuum. It is the undifferentiated: emptiness, 0, and infinity are equivalent in this model with respect to their origin.

Everything ∼ ∞

“Everything” is posited as infinity — without boundary, without predetermined extension.

Emptiness ∼ 0 ∼ ∞

Not arithmetic equality, but equivalence in the initial state.

invisible | visible

The first distinction. It makes a symmetry break, and thus duality, conceivable.

0 ∼ ±∞ , ΔG

Infinitely small and infinitely large can be read as opposite relations of magnitude; ΔG denotes change in magnitude.

02 — Structural sequence

Distinction becomes the structure of time.

The following chain is the model’s internal logic. Here, “derivation” means that an existing structure gives rise to a new structural level — not differential calculus.

01

Duality

Invisible and visible mark a break from the original lack of distinction.

02

Magnitude

With ±∞, magnitude becomes a property. ΔG is its change, an impulse.

03

Time

Time = 3 properties + 1 structure; two properties stand in dual relation and form a 2-structure.

04

Energy

Light | shadow becomes the second structure; their coupling enables energy and visibility.

0 ∼ ∞
Source
→
±∞
Duality
→
Time
Structure
→
Light
Shadow
→
Energy
Visibility
03 — Shells & World

The fourth dimension is the world.

Here, the tesseract is its own object made of cube and shell relations. The fourth dimension is not its additional origin axis, but the universe that arises within the third shell.

Source
H₁ · H₂ · H₃

Hᵤ = D₄
Universe
  • Tesseract → H₁ → H₂ → H₃Several mutually nested shells form the preparatory geometry.
  • Each shell: outside · inside · betweenEach shell contains an outer side, an inner side, and an intermediate structure.
  • H₃ ⊃ HᵤWithin the third shell, another shell arises.
  • Hᵤ ≡ D₄ ≡ UniverseThis shell is the fourth dimension: part of the world, energy-bearing, and visible.
  • 8 + 2 = 10 connectionsEight timelines receive two degrees of freedom for the spherical shell; light, shadow, and energy enable inner volume and expanding space.
04 — Proof status

What is shown here — and what is not.

A consistent model is not yet empirical proof.

This page documents a metaphysical-mathematical model of origin and its posited transitions. A strict mathematical proof can only show what follows logically from explicitly defined axioms. A physical proof of the origin of the world or of God would additionally require unambiguous terms, testable predictions, and a connection to observations.

The next precise step would therefore be to define the terms formally, state the axioms in full, and mark every arrow in the structural sequence as either a provable proposition or an additional assumption.