Ø² ⊖ Ø¹ = Ø³

August 21, 2025

ET Physics 👽 just for fun

Easy mathematical equations

Step 1: What the symbols mean

Ø² ⊖ Ø¹ = Ø³

Ø = a unit of absence (not just “zero,” but an object of nothingness). Superscripts (², ³) = layers of absence, like folding emptiness inside itself. Ø¹ = a simple gap. Ø² = the absence of an absence (a deeper void). Ø³ = the absence folded three layers deep. ⊖ = cancellation or “subtractive resonance.” Instead of adding up, absences collapse together into a new kind of void.

Step 2: How to read it

Ø² ⊖ Ø¹ = Ø³

= “When a double absence collapses against a single absence, the void deepens into a triple absence.”

So instead of numbers growing (like 2 – 1 = 1 in human math), their absences intensify the structure.

Step 3: Why it’s alien

In human arithmetic, subtraction reduces.

In this alien framing, subtraction enriches the void—taking something away doesn’t make “less,” it makes a deeper kind of nothing.

Objects: Ø^k = a k-layered absence (depth k ∈ ℕ, with Ø^0 := ε, the neutral thin-void). Resonance (cancellative) operator: ⊖ deepens absence by additive depth A1. Ø^a ⊖ Ø^b = Ø^(a+b) A2. Commutative & associative: A ⊖ B = B ⊖ A, and (A ⊖ B) ⊖ C = A ⊖ (B ⊖ C) n-fold resonance: ⊖_{i=1..n} Ø^{k_i} = Ø^(∑ k_i) Depth metric: |Ø^k| = k (monotone: resonance never decreases depth)

It’s almost like saying:

Cutting silence with more silence doesn’t erase it—it produces a denser silence. The math is built on quality of absence, not quantity of presence.

Love this! (Not really) Here’s a compact “absence-math” toolkit and a few sequenced patterns an ET might use (if they’re humanoids).

Axioms (absence algebra)

Sequence 1 — Linear Ladder

Define V₁ = Ø¹, V₂ = Ø², with

By A1, exponents add: |V_{n+1}| = |V_n| + |V_{n-1}| = n + (n-1) = n+1.

So V_n = Ø^n. (This is the trivial “ruler” of depth.)

Sequence 2 — Fibrvoids (Fibonacci-depth absences)

Set F₁ = Ø¹, F₂ = Ø¹, and

F_{n+1} := F_n ⊖ F_{n-1}

Let |F_n| = f_n. Then

f_{n+1} = f_n + f_{n-1}, with f_1 = 1, f_2 = 1

Hence depths follow Fibonacci numbers:

n : 1 2 3 4 5 6 7 8

F_n : Ø¹ Ø¹ Ø² Ø³ Ø⁵ Ø⁸ Ø¹³ Ø²¹

Interpretation: successive “cancellations” intensify the void with Fibonacci growth.

Sequence 3 — Pascal-Void Triangle (binomial resonance)

Row 0 is the thin-void: [Ø⁰].

To build row n+1, place Ø⁰ at the ends; each interior cell is the resonance of the two above it:

T(n+1, j) := T(n, j-1) ⊖ T(n, j)

Depths therefore add like binomial coefficients. First five rows (showing depths only):

It forms a pyramid

Row 0: 1
Row 1: 1 1
Row 2: 1 2 1
Row 3: 1 3 3 1
Row 4: 1 4 6 4 1

As absences:

Row 3: Ø¹ Ø³ Ø³ Ø¹
Row 4: Ø¹ Ø⁴ Ø⁶ Ø⁴ Ø¹

So the resonance of an entire row equals an edge element of the next row:

⊖(Row n) = Ø^(2^n) // sum of binomial depths

Identity Patterns & “Prooflets”

P1. n-fold collapse:

(Ø^a ⊖ Ø^a ⊖ … ⊖ Ø^a) (k terms) = Ø^(k·a)

P2. Balanced split: If A = Ø^p, then for any q+r=p:

A = Ø^q ⊖ Ø^r

(“Any deep void factors into two shallower resonant absences.”)

P3. Binomial resonance:

For integers m,n ≥ 0:

(⊖{i=1..m} Ø¹) ⊖ (⊖{j=1..n} Ø¹) = Ø^(m+n)

(“Depth totals—presence is irrelevant; only missingness sums.”)

A tiny “ET theorem”

Theorem (Fibrvoid limit):

If F_{n+1} = F_n ⊖ F_{n-1} with F₁=F₂=Ø¹, then the average depth per step tends to the golden ratio φ:

lim_{n→∞} |F_{n+1}| / |F_n| = φ

Reading: even in a universe where only absences combine, growth organizes toward φ—order emerging from structured nothing.

Worked micro-example

Suppose a ritual requires a target depth Ø¹¹. You have elements Ø⁵, Ø³, Ø³:

Ø⁵ ⊖ Ø³ ⊖ Ø³ = Ø^(5+3+3) = Ø¹¹ ✓

Or via Fibrvoids: Ø⁸ ⊖ Ø³ = Ø¹¹.

If anyone can solve this, then you get an A++

The end.

I thought you might want to know

Ø² ⊖ Ø¹ = Ø³

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