QMU Neighborhood Explorer | Quantum Measurement Units

Curl

QMU Symbol

curl

Expression

\mathrm{curl}=\frac{{e_{emax}}^{2}}{{m_e} {\lambda_C}}

Quantity Class

charge

Semantic Density

Curl is a QMU unit defined by:

\mathrm{curl}=\frac{{e_{emax}}^{2}}{{m_e} {\lambda_C}}

Open in Equation Graph

Participates in the QMU semantic registry as a charge unit derived from canonical QMU expression structure.

Equivalent / Parallel Identity Nodes

Curl concept concept:curl

Direct Graph Neighborhood

Direct incoming and outgoing graph relationships for this unit or node.

Neighbor	Kind	Symbol	Relationship
Aether Unit `concept:aether-unit`	concept		incoming · related_to
Aether Unit `concept:aether-unit`	concept		outgoing · related_to
Chronovibration `concept:chronovibration`	concept		outgoing · related_to
Chronovibration `concept:chronovibration`	concept		incoming · related_to
Magnetic Charge `concept:magnetic-charge`	concept		outgoing · related_to
Electron Mass `concept:electron-mass`	concept		outgoing · related_to
Compton Length `concept:compton-length`	concept		outgoing · related_to
Magnetic Charge `qmu:magnetic-charge`	QMU unit	{e_{emax}}^{2}	incoming · qmu_concept_ref
Aether Unit `qmu:aether-unit`	QMU unit	{A_u}	incoming · qmu_concept_ref
Electron magnetic charge `qmu:eemax`	QMU unit	eemax	incoming · qmu_concept_ref
Electron Mass `concept:electron-mass`	concept		outgoing · qmu_concept_ref
Compton Length `concept:compton-length`	concept		outgoing · qmu_concept_ref
Magnetic Charge `concept:magnetic-charge`	concept		outgoing · qmu_concept_ref
Charge `concept:class-charge`	concept		outgoing · qmu_concept_ref
EQ-LEDGER-001 `equation:EQ-LEDGER-001`	equation		outgoing · qmu_equation_ref
EQ-QMU-002 `equation:EQ-QMU-002`	equation		outgoing · qmu_equation_ref
EQ-QMU-003 `equation:EQ-QMU-003`	equation		outgoing · qmu_equation_ref
EQ-QMU-009 `equation:EQ-QMU-009`	equation		outgoing · qmu_equation_ref
QMU Class: charge `qmu-class:charge`	qmu-class		outgoing · has_quantity_class

Research Trace

Equations and papers connected to this QMU unit through the QADI equation ledger and paper corpus.

Harvested Equation Preview

First harvested equations connected to this unit. Full source trace: view all harvested equations for curl .

eq:triad · PAPER-APM-EXPERIMENTAL-BENCHMARKS · View Equation · benchmarks.tex

{G}={\lambda_C}\,{F_q}^{2}\,m_{a},\qquad \frac{{A_u}}{{k_C}}=16\pi^{2},\qquad {A_u}\,\mathrm{curl}={F_q}^{2}\,{\lambda_C}^{2}.

eq:qmu-derived · PAPER-APM-EXPERIMENTAL-BENCHMARKS · View Equation · benchmarks.tex

\begin{aligned} {A_u} &= \frac{{m_e}\,{\lambda_C}^{3}\,{F_q}^{2}}{{e_{emax}}^{2}}, & \mathrm{curl} &= \frac{{e_{emax}}^{2}}{{m_e}\,{\lambda_C}}, & \mathrm{mflx} &= \frac{{m_e}\,{\lambda_C}^{2}\,{F_q}}{{e_{emax}}^{2}}. \end{aligned}

· PAPER-APM-EXPERIMENTAL-BENCHMARKS · View Equation · benchmarks.tex

\boxed{{G}={\lambda_C}\,{F_q}^{2}\,m_{a}},\qquad \boxed{{A_u}/{k_C}=16\pi^{2}},\qquad \boxed{{A_u}\,\mathrm{curl}={F_q}^{2}\,{\lambda_C}^{2}},

Equations

EQ-LEDGER-001 EQ-QMU-002

Papers

Curl Metrology Handles Curl Weighted Time Frequency Modes Directional Curl Gradient Interferometry Gravity Control Locally via Curl Thresholds Gravity Control Locally via Curl Thresholds2 A QMU Factorization of the Planck Units: Electron--Aether Closure, Circular Normalization, and SI Projection Structure QMU Curl as a Magnet Hardness Index

Semantic References

Concept References

electron-mass compton-length magnetic-charge class-charge

Equation References

EQ-LEDGER-001 EQ-QMU-002 EQ-QMU-003 EQ-QMU-009

Research Actions

Authority note: this page may use canonical record IDs internally for routing, while displaying the four-letter QMU symbol where available. The routing ID and displayed symbol can differ, but both refer to the same reconciled QMU record.

Continue discovery from this unit through partner probing, path exploration, and trace tools.

Discovery Partner Probe Path to \({F_q}\) Path to \({\lambda_C}\)

Semantic Path Explorer

Start a multi-hop semantic path from this unit.

Path to {F_q} Path to {\lambda_C} Path to mflx Path to QMU Conductance

Dimensional Similarity Neighbors

Strongest QMU unit neighbors ranked by shared dimensional exponent clusters. Higher scores indicate more shared QMU dimensional structure.

Score	Unit	Symbol	Shared Basis Count
3	Acceptance `accp`	accp	3 / 4
3	Aether Fluctuation Potential `aefp`	aefp	3 / 4
3	Electric Charge Gradient `elcg`	elcg	3 / 4
3	Exposure `expr`	expr	3 / 4
3	Exposure Diffusion Flux `exdf`	exdf	3 / 4
3	Magnetic Field Energy `mfen`	mfen	3 / 4
3	Magnetic Field Exposure `mfde`	mfde	3 / 4
3	Quantum Flexibility `qflx`	qflx	3 / 4
2	Capacitance `capc`	capc	2 / 4
2	Charge `chrg`	chrg	2 / 4
2	Charge Density `chgd`	chgd	2 / 4
2	Charge Length `chgl`	chgl	2 / 4
2	Charge Volume `chvm`	chvm	2 / 4
2	Conductance `cond`	cond	2 / 4
2	Conductance Density `cden`	cden	2 / 4
2	Converging Electric Field `cvef`	cvef	2 / 4
2	Current Flow Facilitation Factor `cfff`	cfff	2 / 4
2	Electric Flux Density `efxd`	efxd	2 / 4
2	Electromagnetic Interaction Density `emid`	emid	2 / 4
2	Length Density `ldns`	ldns	2 / 4

Discovery Pathway Seeds

Highest-frequency direct neighbors. These are the first candidates for Patch 77 semantic path exploration.

Aether Unit · 2 Chronovibration · 2 Magnetic Charge · 2 Electron Mass · 2 Compton Length · 2 Magnetic Charge · 1 Aether Unit · 1 Electron magnetic charge · 1 Charge · 1 EQ-LEDGER-001 · 1 EQ-QMU-002 · 1 EQ-QMU-003 · 1 EQ-QMU-009 · 1 QMU Class: charge · 1