# The Statistical Model with Interpartial Scalar Conformally Invariant Interaction

Source: [The Statistical Model with Interpartial Scalar Conformally Invariant Interaction](<https://www.sota2.com/research/paper/68fa32191e209131ce885391>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:18:39.699Z

Authors: Yurii Ignat'ev

Published: 2015-08-12T18:53:44.000Z

## Abstract

A closed mathematical model of the statistical self-gravitating system of scalar charged particles for conformal invariant scalar interactions is constructed on the basis of relativistic kinetics and gravitation theory. Asymptotic properties of the model are investigated in the ultrarelativistic limit. It is shown, that scalar charge density automatically generates scalar field effective mass and the value of this mass is found. In the paper it is proved the asymptotic conformal invariance of constitutive equations in case of homogenous isotropic Universe. Also it is proved the asymptotic conformal invariance of field equations at the early stages of cosmological evolution.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1508.03028>)

[PDF](<https://arxiv.org/pdf/1508.03028.pdf>)