We extend Verlinde gravity formalism to nonspherically symmetric case and apply it to calculate the gravitational acceleration near, but above the surface of Earth. We predict the violation of equivalence principle, and obtain η = 3.4 × 10−12 for gold and aluminum, which agrees with η(Au, Al) = (1.3 ± 1.0) × 10−11 obtained by an experiment conducted in 1964. We also obtained η = −1.2 × 10−13 for beryllium and titanium, which agrees with η(Be, Ti) = (0.3 ± 1.8) × 10−13 obtained by an experiment conducted in 2007. Finally, we suggest that this experiment in 2007 be repeated with beryllium or titanium replaced by silver or gold, which would make η enough big to confirm the violation of the equivalence principle.

中文翻译：

---

将 Verlinde 重力形式扩展到非球对称质量分布

我们将 Verlinde 重力形式主义扩展到非球对称情况，并将其应用于计算地球表面附近但高于地球表面的重力加速度。我们预测违反等价原则，并获得η = 3.4 × 10-12对于黄金和铝，这与η(金，铝) = (1.3 ± 1.0) × 10-11由 1964 年进行的一项实验获得。我们还获得了η = -1.2 × 10-13对于铍和钛，符合η(是，钛) = (0.3 ± 1.8) × 10-13由 2007 年的一个实验获得。最后，我们建议在 2007 年重复这个实验，用银或金代替铍或钛，这将使η大到足以证实违反等效原则。