Explore six nested roles and outer completion
Change the inner stage and radix to explore the exact rank sequence 1,1,2,2,3,3 and the distinct role of outer completion in DTT.
Explore the modelINTERACTIVE LEARNING
Explore six mathematical models
Change a parameter and follow the result through a diagram, numerical readout and equation. Explore six nested roles, binary spatial addresses, ordinary complex phase, proper time, a U(1) gauge loop and a Coulomb energy curve. Every demonstration includes a readable initial example and a connected explanation.
Follow a structured course
Study the twelve lessons with worked exercises, trace statements in the research claim map, and examine the validation guides and critical discussions.
The controls vary the inputs of the displayed model. They help explain relationships already defined on the page: preserving a norm, changing elapsed proper time, adding link phases, or balancing kinetic and potential energies. The supplied model and its SMM/DTT interpretation remain visible throughout the calculation.
6 interactive demonstrations
Explore 64 binary addresses and 27 spatial sites
Select a six-bit address and inspect its paired spatial readout, exact site multiplicity, and the nonuniform measure on 27 sites.
Explore the modelExplore ordinary phase and the quarter-turn operator
Rotate a real two-component vector, apply J twice, and inspect norm conservation while distinguishing circular phase from split-complex time.
Explore the modelCompare coordinate duration with an ideal moving clock
Vary speed and duration to calculate exact constant-velocity proper time, the Lorentz factor, and the accumulated clock difference.
Explore the modelChange local frames without changing a loop holonomy
Adjust four U(1) link phases and four local frame choices to see exact endpoint cancellation and the real and imaginary loop trace.
Explore the modelExplore the dimensionless hydrogen binding curve
Vary the exponential-state radius to inspect Coulomb kinetic, potential, and total energy and the exact minimum at the supplied bound scale.
Explore the modelKeep the wider context in view
Start with the foundations, follow the reading paths, or download the printable guides. The open problems explain the mathematical and physical steps that remain in the research programme.