Born Reciprocity and Cosmic Accelerations

TL;DR

This paper explores a trans-Planckian cosmological model based on Born reciprocity, which explains the universe's current acceleration by incorporating gravity, a gauge field, and dark matter within a global framework.

Contribution

It introduces a cosmological model grounded in trans-Planckian theory and Born reciprocity, linking fundamental symmetries to cosmic acceleration.

Findings

Provides a mechanism for cosmic acceleration without dark energy.

Shows inflation suppresses dual action terms.

Connects reciprocity principle with dark matter and gravity.

Abstract

The trans-Planckian theory is a model that realizes concretely the Born reciprocity idea, which is the postulate of absolute equivalence between coordinate $x$ and momenta $p$. This model is intrinsically global, and thus it is naturally implemented in a cosmological setting. Cosmology and Born reciprocity are made for each other. Inflation provides the essential mechanism to suppress the terms coming from the dual part of the action. The trans-Planckian theory provides an explanation for the present acceleration of the universe scale factor. This is possible just considering a simple model that contains gravity, one gauge field plus one matter field (to be identified with dark matter), together with the reciprocity principle.