Some Implications of Two Forms of the Generalized Uncertainty Principle

Table 1

GUP-corrections to the energy of the harmonic oscillator.

𝑛	Δ𝐸𝑛(GUP1)/𝐸𝑛	Δ𝐸𝑛(GUP2)/𝐸𝑛
0	4.9×10^−52𝛽0−3.6×10^−103𝛽^20	3.2×10^−52𝛼^20−2.7×10^−102𝛼^40
2	1.3×10^−51𝛽0−2.3×10^−102𝛽^20	6.5×10^−53𝛼^20−1.6×10^−101𝛼^40
5	2.7×10^−51𝛽0−9.9×10^−102𝛽^20	3.0×10^−53𝛼^20−7.1×10^−101𝛼^40
10	5.1×10^−51𝛽0−3.5×10^−101𝛽^20	1.5×10^−53𝛼^20−2.5×10^−100𝛼^40
100	4.9×10^−50𝛽0−3.2×10^−99𝛽^20	1.6×10^−54𝛼^20−2.3×10^−98𝛼^40