pith. sign in
def

T_node

definition
show as:
module
IndisputableMonolith.Engineering.ZMatchedTransceiverMesh
domain
Engineering
line
39 · github
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plain-language theorem explainer

T_node supplies the dimensionless reference value of per-node throughput in the Z-matched transceiver mesh. Network modelers cite it to establish linear scaling of aggregate throughput with node count. The declaration is a direct constant assignment.

Claim. The per-node throughput reference is the real number $1$.

background

The module models a mesh of N Z-matched phantom-cavity transceivers whose (Z, Θ)-channels are independent and distance-decoupled. Aggregate throughput is defined as T(N) = N · T_node, with pairwise latency independent of separation. T_node is introduced as the base unit that makes throughput additive across nodes.

proof idea

One-line definition that assigns the constant value 1 to T_node.

why it matters

T_node anchors aggregateThroughput and the mesh_one_statement theorem that proves linearity, doubling at 2N, and strict monotonicity. It supplies the engineering base for the J9 track claim of distance-decoupled channels. The value 1 is the reference that lets T_node_pos and the certification structure record positivity.

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