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This research aims to show that singularities in black holes can be resolved using modified gravity at Planck scale.

June 20, 2026Open Access

Resolution of Black Hole Singularities via Planck-Scale Modified Gravity

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This research aims to show that singularities in black holes can be resolved using modified gravity at Planck scale.
Introduced a suppression function S(r) = r³/(r³ + lp³) to regularize Schwarzschild singularity
Included a mathematical proof using the Kretschmann scalar K(r) vs r/lp plot
Analytically verified conservation laws and performed weak energy condition analysis for regions beyond the Planck scale.
Kretschmann scalar K(0)=80M²/lp⁶ is finite at the center of the black hole, confirming singularity resolution
The modified theory reduces singularity effects while recovering General Relativity at larger distances
A small violation of the weak energy condition occurs near the Planck core, consistent with black hole literature.

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Mathematical draft demonstrates singularity resolution in black holes, suggesting modifications to gravity theories.

Islam Me Akijul (2026) studied this question.

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