Follow the whole theory.
Follow one continuous journey from four marked points to matter, E₈, alpha and predictions. Watch the branches connect, pause anywhere and explore each calculation.
Start with one shared shape.
Keep your eye on the four coloured marks. This one geometric setup will feed two different parts of the construction.
See the rule behind this connection
The four point divisor is used in the stated sphere construction. The physical boundary source also contains its kernel, state and time; those inputs remain part of the full theory.
Keep exploring the other branches: Dynamical change, quantum states and clocks, and cosmic scales.
Explore the full connection map
A shared structure. Several connected consequences.
Start with a boundary and five slots.
A boundary tells the construction how a change at its edge is answered. Five internal slots organize the possible matter states: three colour slots and two weak slots. Start with both inputs, then follow what their rules produce.
Make the connection precise
Think of a construction kit: both its pieces and the rules for joining them matter. The specified boundary source contains its kernel, state and time, with normalization c₃ = 1/(8π). The carrier slots are internal representation data, rather than five locations in physical space.
Moving points trace selected dependencies in this map. They do not depict particles travelling through physical space.
Pick something to try.
Each chapter starts with one idea you can see and change. Explore freely, or follow the chapters from the particle structure through its connected readouts.
Can you find the number near 137?
Alpha tells us how strongly light and charged particles interact. One divided by alpha is near 137. Find the trial number where the two calculated sides balance.
How do five places organize matter?
Turn five internal places on or off. Keep choices with zero, two or four occupied places. Their charges add, producing sixteen components grouped into one family in this construction.
How do four groups build E₈?
Build the pattern from groups of 52, 60, 64 and 64 points. Each point represents one of E₈’s shortest nonzero vectors, called roots.
What happens after one more step?
Put a total share of one across three bins. Each step redistributes it using the fixed rule. The shares settle toward equality while their total stays one.
How do we check a calculated number?
Reveal the calculation, its recorded number and a dated measurement. Compare the values and the measurement uncertainty while keeping the formula’s conditions visible.
Why do four numbers move together?
Move one small input and watch four numbers change. Each follows its own rule, but all four calculations use the same input.
How does one input move both results?
In the stated early universe scenario, N measures an interval of expansion. Move it to see the pattern tilt rise while the relative gravitational wave strength falls.
What changes when the phase turns?
Turn the phase wheel. In this worked state, two outcomes each stay at 50%. Then advance the five and six position clocks to see when they return together.
Keep the whole construction in view.
The lattice, representations, numerical readouts and physical source are connected parts of the programme. Each experiment links back to the original argument and the conditions under which it applies.