MEFI Theory - Interactive Explorer
MEFI Status: Ready

MEFI THEORY

Interactive Mathematical Explorer

Core MEFI Formula

FMEFI(r,t) = [kr/r² − kc/(r²(1+r))] + ΔQ · fUFR(t)

Explore how expansion response, compression feedback, ΔQ, and UFR combine into the local MEFI field state.

MEFI Advanced Simulation Presets

Manual exploration using direct MEFI parameters.

Resonant Field

Live MEFI Field State Dashboard

MEFI STATE 0.00000
COHERENCE 0%
PHASE D RISK LOW
RESONANCE BAND Balanced
Ready.
Adjust the sliders or apply a preset to classify the active MEFI field state.

Expansion Response: kr/r²

What This Term Does

The expansion response creates outward resonance pressure that prevents runaway compression and keeps the field responsive.

Why the 1/r² Relationship?

In MEFI, this represents resonance dispersal. As distance increases, the dispersal effect weakens quadratically, creating stable zones.

Fexpansion(r) = kr / r²
Distance (r): 10
F_expansion = 0.01000
Expansion Coefficient (kr): 1.0

Compression Feedback: kc/(r²(1+r))

What This Term Does

The compression term organizes local structure with a faster falloff than the expansion response.

Why the 1/(r²(1+r)) Relationship?

Compression becomes effectively near 1/r³ at larger distances, creating a natural balance region where stable structures can form.

Fcompression(r) = kc / (r²(1+r))
Distance (r): 10
F_compression = 0.00909
Compression Coefficient (kc): 1.0

ΔQ: Coherent Change Driver

ΔQ is coherent fluctuation — the change driver — structured enough to synchronize with UFR rather than behaving as random noise.

ΔQ(t) = A · sin(ωt + φ)
Amplitude (A): 2.0
ΔQ = 0.0000
Frequency (ω): 0.5
Time (t): 0

UFR: Universal Frequency Resonance

UFR integrates ΔQ into coherent, bounded evolution using damped resonance behavior.

fUFR(t) = cos(ωt) · e-λt
Frequency (ω): 0.3
f_UFR = 0.7408
Damping / Recovery (λ): 0.05
Time (t): 10

Full MEFI Dynamics

FMEFI(r,t) = [kr/r² − kc/(r²(1+r))] + ΔQ(t) · fUFR(t)
System Radius (r): 5.0
System Time (t): 0
F_MEFI = 0.0000

Cyan line: expansion–compression balance | Gold line: total MEFI response

MEFI Field Lab

This lab adds more than a graph: it provides a live field map, coherence timeline, resonance-band classifier, Phase D risk estimate, snapshot logging, and CSV export.

Field Map

Coherence Timeline

Saved Field Snapshots

# Preset State F_MEFI Coherence Phase Risk
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