1. Numerical Evolution Across Frames
| Frame |
Wavelength λ (m) |
Effective Mass Meff (kg) |
| Stellar Frame |
4.9661 × 10⁻⁷ |
4.45 × 10⁻³⁶ |
| Planck Frame |
1.616255 × 10⁻³⁵ |
2.18 × 10⁻⁸ |
| Universal-Origin Frame |
1.0000000000000000000000000000000000000000000539 × 10⁻³⁵ |
2.207953330146667 × 10⁻⁸ |
The wavelength collapses by approximately 28 orders of magnitude from the stellar frame to the Planck frame:
λstar / λp ≈ 3.07 × 10²⁸
2. ECM Phase-Time Law
The ECM phase-time relation is:
Tx° = x° / (360 f) = Δt
This means that as a photon moves deeper into a gravitational phase field, its allowed phase per cycle shrinks, forcing the frequency to rise.
3. Why λ and Meff Change Together
In ECM:
λ = c / f
E ∝ f
Meff = E / c²
Therefore, as phase compression increases:
f ↑ → λ ↓ → E ↑ → Meff ↑
4. Physical Interpretation
• In the stellar frame, the photon is weakly manifested, with long wavelength and negligible effective mass.
• At the Planck boundary, the photon becomes a Planck-scale vacuum excitation, with Planck-length wavelength and Planck mass.
• At the universal origin, phase compression is maximal, yielding the highest frequency, smallest wavelength, and greatest effective mass governed by the ECM constant k.
5. ECM Conclusion
Gravity in ECM is not spacetime curvature — it is vacuum phase compression.
Wavelength collapse and mass emergence are two manifestations of the same underlying ECM process:
Phase compression → Frequency increase → Energy manifestation → Mass emergence
