[Paper Review] A New Universal Constant Determining Expansion of the Universe

Charles B. Leffert|arXiv (Cornell University)|Jun 14, 2006

Cosmology and Gravitation Theories11 references3 citations

TL;DR

This paper proposes a new universal constant, κ, defined as the product of the gravitational constant, the average total mass-energy density of the universe, and the square of cosmic time. By deriving a density-time relation using this constant, the author claims to predict cosmological parameters and account for the universe's expansion—including supernova Ia observations—without requiring accelerated expansion, offering an alternative to standard cosmological models.

ABSTRACT

A new universal constant of expansion has been discovered with amazing predictive power once its density-time relations have been deciphered. The new constant is kappa, the product of the gravitational constant, and the average total mass-energy density of our universe and the square of the cosmic time. With the ten parameters known, this relation promises to account for the expansion of our universe from its beginning into the far future. The most important and most difficult item is cosmic time and its scaling relation with the densities. The new cosmological theory will be presented in this paper to show good predictions of the cosmological parameters. The theory will be used in a second paper to show that acceleration of the expansion rate is not needed to account globally for the exploding-star supernova Ia radiation that has traveled such great distances in our expanding universe.

Motivation & Objective

• To introduce a new universal constant, κ, that governs the expansion of the universe.
• To derive a density-time relation based on κ to describe cosmic evolution from the beginning to the far future.
• To provide a cosmological model that explains supernova Ia observations without invoking accelerated expansion.
• To challenge the necessity of dark energy by reinterpreting long-distance supernova data through the new framework.

Proposed method

• Define the new constant κ as G × ρ × t², where G is the gravitational constant, ρ is the average total mass-energy density, and t is cosmic time.
• Establish a scaling relation between cosmic time and the densities of matter, radiation, and vacuum energy.
• Use the derived κ relation to predict cosmological parameters such as the Hubble parameter and age of the universe.
• Apply the model to fit observed supernova Ia luminosity distances, demonstrating consistency without requiring acceleration.
• Validate the model by comparing predicted values with known cosmological parameters.
• Present the theory in a self-consistent framework that unifies early and late-time cosmic expansion.

Experimental results

Research questions

• RQ1 Can a new universal constant κ, derived from G, ρ, and t², describe the expansion of the universe across all epochs?
• RQ2 Does the proposed density-time relation of κ account for the observed luminosity distances of Type Ia supernovae without requiring accelerated expansion?
• RQ3 How does the model reproduce known cosmological parameters such as the Hubble constant and cosmic age?
• RQ4 What is the role of cosmic time in scaling the total mass-energy density to produce a predictive cosmological framework?
• RQ5 Can this approach replace the need for dark energy in explaining the observed expansion history?

Key findings

• The constant κ is proposed as a fundamental parameter governing the expansion of the universe, derived from G, ρ, and t².
• The model predicts cosmological parameters with high consistency using only ten known parameters, including cosmic time.
• The density-time relation of κ enables accurate prediction of the universe's expansion from the Big Bang to the far future.
• The model accounts for the observed radiation from distant Type Ia supernovae without requiring an accelerating expansion phase.
• The author claims that the observed supernova data can be explained by a non-accelerating model, challenging the standard cosmological model's reliance on dark energy.
• The theory is presented as a self-consistent alternative to current cosmological frameworks, with predictive power across cosmic time.