State Becomes a Path Through Spacetime

A source program describes values and transitions. A circuit realizes them as events linked through wires, gates, storage elements, and timing relationships. What software calls state appears physically as structure that carries information from one time slice to the next.

This four-dimensional view turns memory and logic into one connected geometry. A register, feedback path, or persistent field extends information through time; combinational logic transforms it across space.

Boolean Algebra Gains a Physical Body

Boolean algebra can describe the switching relationships required for universal computation. A physical realization adds placement, propagation, restoration, gain, fanout, and synchronization. The equations express what can connect; spacetime determines how the connection operates.

Universal Computation With Multiplexers develops the selector as the elementary logical mechanism and follows that mechanism into a spatially configurable machine.

Volume Creates Opportunity and Cost

As a computer grows, interior volume grows faster than exterior surface area. The extra interior can hold immense parallel structure, yet communication with the outside and across long internal distances cannot scale the same way. Architecture must therefore place computation near state and give local structure meaningful autonomy.

Draw the next program as a spacetime circuit. Show where information lives, when it changes, how far it travels, and which physical structure owns the transformation.