MEFI Theory - Interactive Explorer
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MEFI Theory

Interactive Mathematical Explorer

Core MEFI Formula

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

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Resonant Field

Expansion Term: kr/r²

What This Term Does

The expansion term creates outward resonance pressure that prevents infinite compression collapse.

Why the 1/r² Relationship?

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

Physical Meaning

• At close range: Strong outward pressure prevents merging

• At medium range: Supports stable structure formation

• At long range: Negligible effect, other dynamics dominate

The kr Constant

Sets the strength of expansion dispersal — the “stiffness” of the resonance structure.

Fexpansion(r) = kr / r²
Distance (r): 10
F_expansion = 0.01000
Resonance Constant (kr): 1.0

Compression Term: kc/(r²(1+r))

What This Term Does

The compression term creates inward resonance attraction that concentrates structure — with faster falloff than the expansion term.

Why the 1/(r²(1+r)) Relationship?

Compression becomes effectively ~1/r³ at large distances, enabling a natural balance region where stable structures form.

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

ΔQ: Coherent Quantum Fluctuations

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

ΔQ(t) = A · sin(ω·t + 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(ω·t) · e-λ·t
Frequency (ω): 0.3
f_UFR = 0.7408
Damping (λ): 0.05
Time (t): 10

Full MEFI Dynamics: Everything Working Together

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

Blue line: Classical terms | Gold line: Total MEFI response