A Unified Ramanujan-Inspired p-Series Deformation Framework for Gravitational Interaction: Mathematical Proofs, Physical Consistency, and Computational Realizations

  1. Kaustav Nath

Reviewed by

Read the full article

Discuss this preprint

Start a discussion What are Sciety discussions?

Listed in

Log in to save this article

Abstract

We present a unified, rigorously formulated p-series deformation framework for gravitational interaction inspired by classical Ramanujan-type series constructions. The theory is developed from first principles as a mathematically well-defined operator acting on radial gravitational potentials. We provide explicit proofs of convergence, boundedness, regularity, and asymptotic behavior, followed by physics-based consistency derivations establishing recovery of Newtonian gravity and controlled long-range suppression. A chemistry-consistent interpretation is introduced via interaction-kernel analogies familiar from statistical mechanics and molecular physics. The framework is complemented by explicit numerical implementations in Python and Java. This work establishes a mathematically rigorous, physically consistent, and computationally realizable foundation for scale-dependent gravitational modeling.

Article activity feed

  1. PREreview

    This Zenodo record is a permanently preserved version of a Structured PREreview. You can view the complete PREreview at https://prereview.org/reviews/19826287.

    Does the introduction explain the objective of the research presented in the preprint? Partly
    Are the methods well-suited for this research? Somewhat appropriate
    Are the conclusions supported by the data? Highly supported
    Are the data presentations, including visualizations, well-suited to represent the data? Highly appropriate and clear
    How clearly do the authors discuss, explain, and interpret their findings and potential next steps for the research? Neither clearly nor unclearly
    Is the preprint likely to advance academic knowledge? Highly likely
    Would it benefit from language editing? Yes
    Would you recommend this preprint to others? Yes, but it needs to be improved
    Is it ready for attention from an editor, publisher or broader audience? Yes, after minor changes

    Competing interests

    The author declares that they have no competing interests.

    Use of Artificial Intelligence (AI)

    The author declares that they did not use generative AI to come up with new ideas for their review.

  2. Version published to 10.2139/ssrn.6153828