u/shivanshu1712

Hi everyone, I'm Shivanshu, a self-taught, independent researcher from India. This is the final version of a research note I've been building over the past weeks, and I'd really value criticism from people who know GR or quantum gravity.

What it is (model-level, not a claim about nature):

• Starting point: a postulate that a particle's speed saturates near the Planck scale, v = c/(1+KP/E_Planck). Carried by a scalar field it can't stop the singularity (Penrose's theorem), and I show why.

• Applied instead to the geometry inside a black hole (effective loop-quantum-gravity models), the collapse doesn't bounce; it freezes. There is one horizon, no inner horizon and no white hole.

• I computed the constraint algebra: covariant models of this type need a constant-curvature "momentum space" (sin, sinh, exp). My postulate turns out to describe a de Sitter momentum space whose spatial directions give exactly the sine used in LQG.

• In a covariant freezing model (Alonso-Bardají 2025), the LQG area gap gives a curvature bound K = 1/(4Δ²) that is the same for every mass, a bounded Hawking temperature, and an entropy correction ∝ A^(2/3).

• With spin an inner horizon returns (as in Kerr), but its singularity stays capped; with scalar hair, both disappear in homogeneous tests.

What's open: the 3+1-dimensional justification, the full perturbation theory, and several assumptions, all listed in the note. Exterior effects for stellar black holes are ~10⁻²⁶, so nothing here is testable with today's telescopes.

I used an AI (Claude) for much of the algebra and code. Every number can be reproduced with the scripts included, and the code was first checked against known published results.

Note and scripts: https://doi.org/10.5281/zenodo.23083395

If you find a mistake, please tell me. That's exactly what I'm looking for.

Hello everyone, I'm Shivanshu Sharma, an independent, self-taught researcher from India working on black-hole singularities.

(Edit: my earlier wording, "I have the solution of Singularity", was too strong. I apologize. Here is an honest summary.)

What I studied: In loop-quantum-gravity-inspired models, the curvature variables inside a black hole are usually replaced by sin(λb)/λ, which leads to a bounce and a white hole. I tried a saturating, monotonic function, b/(1+λb), which comes from my own momentum-saturation idea.

What I found (model level, not a proof about nature): • The interior doesn't bounce, it "freezes": the areal radius approaches a finite value only after infinite proper time. There is one horizon, no inner horizon and no white hole. • In one standard covariant construction my function turns out not to be covariant (I computed the constraint algebra). But a recent covariant model (Alonso-Bardají, 2025) shows the same freezing. With the LQG area gap applied to holonomy plaquettes, the maximum curvature becomes the same for every black-hole mass. • Still open: the full 3+1-dimensional justification and non-spherical perturbations.

I used an AI tool (Claude) for algebra and code, and the results have not yet been independently verified. That is exactly why I'm posting.

Earlier version: https://doi.org/10.5281/zenodo.23041511 (the updated note with scripts is available on request).

My question: does anyone see a mistake in the reasoning, or know whether these results are already known? All criticism is welcome. Thank you!