A point can represent an entire question

The network is not the space.

Move a boundary interval. See its complete geodesic become one point in kinematic space, then test the interval order that makes MERA's causal structure legible.

Enter the mapper

Geodesic interval explorer

One interval. One curve. One point.

A point here is not a place inside the disk. It encodes the complete boundary-anchored geodesic between u and v.

Hyperbolic slice boundary interval becomes a geodesic

Kinematic space position theta x scale alpha

Center position60°theta = (u + v) / 2

Half-opening scale30°alpha = (v - u) / 2

Against reference [80°, 160°]SPACELIKENeither interval contains the other.

A node is not a place.

It represents a way of asking about the system.

Bulk

Locations and curves

Ordinary geometry assigns points to places. A geodesic is an extended curve through that geometry.

Kinematic space

Intervals and probes

Each point stands for a whole interval, and holographically for its complete geodesic.

MERA

Position and scale

The paper proposes that MERA discretizes this organizing space, not a pixelated spatial slice.

Worked information diamond

What remains after conditioning?

Use the illustrative vacuum-CFT model S(l) = (c/3) log(l/epsilon). The combination below localizes residual dependence inside one causal diamond.

A = 2B = 3C = 2

I(A,C|B) = S(AB) + S(BC) - S(B) - S(ABC) 0.3487 nats

A and C retain positive dependence after accounting for B in this toy entropy model.

Research boundary

Proposal, demonstration, extension.

Paper-backed: intervals parameterize geodesics; containment induces kinematic causal order; MERA shares this organizing structure.

Demonstrated here: deterministic coordinate mapping, containment classification, and a labeled illustrative entropy calculation.

Not claimed: that MERA tensors are locations, kinematic causality is physical time, or transformer attention is a geodesic.