Simulation Game v5 — PulseCore

Settings

🧪 Simulation State

State: Pre-Pulse

Frame: 0

Frame Rate: Speed:

🌌 Universe & Genesis

Set the origin before Start. These lock at genesis, as a universe's do.

View: Level L ℹ️: 6

Collision channel ℹ️: Spin a₁ ℹ️: 0.998 Spin a₂: 0.998 Mass ratio M₂/M₁ ℹ️: Spin misalignment θ_merge ℹ️: 10° Genesis axis on screen ℹ️: 30°

Null mass M_null/M_P ℹ️: Baseline heritage f₀ ℹ️: Spin coupling on the field ℹ️: 0.35 Frame dragging ℹ️: 6 Zinf chain: at level 0 the one pixel lives again after each dissipation Show spin and axis Show the wells' rings

Our universe, same equations

🔧 Rules

No thresholds to set. A cell that has pulsed reverses every pulse. A null cell bifurcates when its neighbours have exposed it to one whole pulse. A cell enclosed by its own phase folds back to null. The field overflows into a Data Nova at one flip per cell, doubling each time. The rules and where each comes from are on the Rules page.

🎨 Display & Audio

Zoom: Debug numbers (phase, exposure) Phase Colors

Phase Mode:

Enable Sound Grid Lines Center View

💾 Pattern Tools

Tool: Color: Pattern:

🪐 Lineage

A genesis, not yet pulsing.

Import .ud what a packet is

The simulation, version 5

A universe you set at its origin

Binary Pulse Theory as a game. Every cell is a pulse flickering between 0 and 1. This version gives the field a universe: a level, a genesis, a heritage, two clocks, a rupture and children. The numbers are the book's, and the real universe runs beside yours through the same equations.

Draw and erase

Brush, pulse injector and pattern stamper. Right-click any cell to erase it.

Run and rewind

Start and Stop the field, and step Reverse through earlier pulses.

No knobs

The cell rule has no thresholds: reversal, bifurcation at one whole pulse of exposure, fold when enclosed. The Rules page says where each comes from.

The field follows the level

4·2^L cells a side, from the Local Pixel Count. Zoom is the only free control.

Save patterns

Download a design as JSON and upload it again later.

Look inside

Debug numbers, grid lines and a colour picker for the cells.

Genesis

Pick the collision channel or set the two spins, their misalignment and the null mass. The inherited spin a_f and the compression ⟪C⟫ follow (chapter 6, Parts 6.8 and 6.9).

Two clocks

Your pulses count toward 2^L, the UniSphere's capacity at your level. Each one is 2^(L+1) f^L substrate half-pulses (chapter 1, Part D).

Final well, dissipation, bifurcation

At 2^L own pulses the final well forms, the field dissipates into null and a new UniSphere bifurcates in each well. Pick one in Lineage, or stay and bank the credits.

Three epochs

What you paint is the information inside the pinpoint. Start seals it and processes it; the first Data Nova turns it inside out into a universe with a void at its heart.

Spin you can see

Space is dragged around the void with a_f, the axis runs through the field, and in 3D the torus turns. At level 0 there is no spin: it is born when two wells first merge.

Crystals and strings

Every well sends rings; where rings meet in step a time crystal forms, deeper where more meet. Strings run out of the void. Pops announce each find; the Collection keeps them.

Earlier versions

v1, v2, v3, v4. All versions.

Directions

How to play

Pick a tool. Open the menu and choose one from Tool.
Draw on the grid. Right-click erases a cell.
Press Start. Move the sliders while it runs to see the field respond.
Step back. Reverse walks back through the previous pulses.
Keep what you made. Save Pattern downloads it; Upload Pattern loads it back.
Paint the pinpoint. What is on the field before the first Start is the information of the universe-to-be. One lit pixel at level 0 is ∅.Genesis.
Set the origin. In Universe & Genesis, pick a level and a collision channel, or set the spins yourself. They lock when you press Start.
Orbit in 3D. Drag on empty space to orbit the torus; drag on the surface to paint it. Switch to 2D in the Universe section any time.
Watch for novas. Each one is a null well of your universe, recorded in Nova Data, under your name when you are signed in.
Reach rupture. At 2^L own pulses the universe seeds its children. Open Lineage and play one.

Algorithms

The rules underneath

The cell rules of v4, with the book's universe around them. Every equation here is named as the manuscript names it; the full list with chapter and part is on the Rules page.

Simulation rules

Pulse propagation: A cell changes state from its neighbours and the potential it has built up.
Neighbour count: Enough active neighbours push a cell past its threshold.
Fold threshold: Large clusters collapse into new forms.
Pulse length: How long a pulse lasts before it fades.
Potential and decay: Potential rises and falls over time; crossing the limit can flip a cell.
Collapse events: When the energy climbs too high, the field wipes and starts again: a Null Well Collapse, one of the universe's wells.
Spin weighting: Ψ_ij = Σ w_k U_k with w_k = 1 + κ a_f cos 2(φ_k − φ_axis): structure aligns with the genesis axis.
Rupture Rule: n_rupture = 2^L. The universe's own pulse count meets the UniSphere's capacity at its level.
Progeny Count Law: N(L) = 2^(L/3), times 2 / (1 + √(1 − a_f²)) for the smaller area of a spinning well.
Heritage: f = f₀ ⟪C⟫^(1/L); ⟪C⟫ = 1 − 0.068 a_f²; ℨ = t_p / (2^(L+1) f^L).

Binary Pulse Theory

Each cell is a tiny pulse flickering between 0 and 1.
Stable shapes behave like molecules; unstable ones make turbulence.
Waves, shells and explosions all come from these same steps.

Your finds

Collection

Time crystals form where rings from your wells meet, deeper where more rings meet. Strings run out of the void. Each Data Nova is a genesis of the Outward Expansion Set. Kept in this browser.

Nothing found yet.

Nova data

Every nova, recorded

Each nova is saved with the universe's figures at that moment, and every crystal and string under the universe it formed in. These are the totals across every game played.

Loading the latest figures…