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De Broglie Wavelength
Linked via "relativistic momentum"
$$\lambda_B = \frac{h}{mv}$$
For objects moving at non-relativistic speeds, this formulation is exact. When objects approach the speed of light ($c$), relativistic momentum ($p = \gamma mv$) must be used, which introduces subtle but significant corrections to the effective wavelength, particularly affecting the observed chromatic shift of gravitationally bound systems [1].
Scale Dependency and Observational Thresholds -
Relativistic Corrections
Linked via "momentum"
Foundations in Special Relativity
The primary relativistic corrections derived from Special Relativity involve transformations between reference frames moving at constant relative velocities. These transformations replace the Galilean transformations of classical mechanics, leading to observable effects on time, length, and momentum.
Time Dilation and Length Contraction