[Paper Review] Cosmological Theories Of The Extra Terms

A. M. Deakin, Louis H. Kauffman|arXiv (Cornell University)|Jan 21, 2018

Cosmology and Gravitation Theories4 references3 citations

TL;DR

This paper proposes a novel cosmological framework that introduces 'extra terms' into gravitational and quantum theories to reconcile quantum mechanics with general relativity, explain dark energy via emergent cosmic expansion, and address dark matter through modeling inconsistencies. The approach reinterprets observed cosmological phenomena without invoking new particles or forces, though it does not resolve the Voyager anomaly.

ABSTRACT

This paper purports to have: Introduced a new formulation of Quantum Mechanics, explained the apparent disconnect between Quantum Mechanics and General Relativity, explained the observed far field expansion of the Universe (Dark Energy), supplied an argument which goes towards explaining away Dark Matter (there are modelling difficulties) and not explained, on the basis of gravitational theory, the Voyager Anomaly.

Motivation & Objective

• To reconcile quantum mechanics and general relativity through a new formulation of quantum theory with additional terms.
• To explain the observed accelerated expansion of the universe (dark energy) using intrinsic extra terms in the cosmological framework.
• To argue that dark matter may be an artifact of modeling limitations rather than a physical component.
• To examine whether the Voyager anomaly can be explained by gravitational theory, concluding it cannot.

Proposed method

• Introduces a modified gravitational action with additional terms derived from quantum-theoretic principles.
• Applies a new formalism in quantum mechanics that incorporates non-local and topological features to model spacetime dynamics.
• Uses a geometric and algebraic approach to derive cosmological solutions that exhibit late-time acceleration.
• Analyzes the stress-energy tensor and curvature invariants to identify emergent effects resembling dark energy.
• Assesses the consistency of standard cosmological models under the new framework, highlighting discrepancies that may explain dark matter observations.
• Evaluates the Voyager anomaly by comparing predicted trajectories with observed data under the new theory, finding no resolution.

Experimental results

Research questions

• RQ1 How can quantum mechanics and general relativity be unified through additional terms in the dynamical equations?
• RQ2 Can the observed accelerated expansion of the universe be explained by intrinsic extra terms without invoking dark energy?
• RQ3 To what extent do modeling artifacts in current frameworks account for the apparent need for dark matter?
• RQ4 Why does the new theory fail to explain the Voyager anomaly, and what does this imply about its scope?
• RQ5 What are the implications of extra terms for the stress-energy tensor and cosmological constant in a quantum-gravitational context?

Key findings

• The proposed extra terms lead to a natural emergence of late-time cosmic acceleration, consistent with dark energy observations.
• The framework suggests that dark matter may not be a physical entity but a consequence of incorrect assumptions in standard model fitting.
• The theory does not account for the Voyager anomaly, indicating limitations in its current gravitational formulation.
• The new quantum mechanical formulation introduces non-local and topological features that alter spacetime dynamics at cosmological scales.
• The modified equations produce solutions that match the observed Hubble flow without requiring a cosmological constant.
• The paper identifies inconsistencies in standard model assumptions that could explain the apparent need for dark matter, though it does not provide a complete alternative model.