Gravitational Redshift Calculator

Light climbing out of a gravitational well loses energy — its wavelength stretches. In LFM, this emerges from the χ field gradient: photons traverse regions of different χ values.

LFM Mechanism

χ Field Interpretation: Near a mass, χ < χ₀ (spacetime is curved). Photons emitted where χ is lower arrive at observers where χ is higher.

z = √(χ_obs/χ_source) − 1 = √[(1-rs/r_obs)/(1-rs/r_src)] − 1

Pound-Rebka (1959): Verified gravitational redshift on Earth using Mössbauer effect. Measured z = 2.46×10⁻¹⁵ over 22.5 m height — exactly matching GR prediction.

Select Scenario

Results

Gravitational Redshift
z = 1.110e-15
Wavelength shift: Δλ/λ = 1.11e-13%
χ/χ₀ at Source
0.9999999993
χ/χ₀ at Observer
0.9999999993
Time Dilation Factor1.0000000000
Frequency Ratio1.0000000000
Schwarzschild Radius0.01 m
Source at r/r_s7.18e+8
Example: 500 nm green light
Emitted
500 nm
→
Observed
500.00 nm

🛰️ GPS: Living Proof

GPS satellites orbit at 20,200 km altitude. They experience both:

  • Gravitational time dilation: Clocks run ~45 μs/day FASTER (weaker gravity)
  • Special relativistic time dilation: Clocks run ~7 μs/day SLOWER (velocity)
  • Net effect: +38 μs/day faster than ground clocks

Without relativistic corrections, GPS would accumulate 10 km error per day!

LFM Calculation

χ at Earth surface: 0.9999999993
χ at GPS orbit: 0.9999999998
Ratio: 1.000000000493
Time gain: +45.1 μs/day ✓

Gravitational redshift predicted by Einstein (1907), first measured by Pound & Rebka (1959).
LFM derives identical predictions from χ field dynamics (GOV-02).