[Paper Review] Instanton Formation of Vacuum Energy via the Reissner-Nordstrom Geometry of a Wormhole Bridge between a Prior to our Present Universe

Andrew Beckwith|arXiv (Cornell University)|Oct 19, 2007

Cosmology and Gravitation Theories13 citations

TL;DR

The paper proposes a mechanism for instanton formation of vacuum energy from a prior universe using the Reissner-Nordström geometry as a bridge, grounded in a pseudo-time evolution of the Wheeler-DeWitt equation. It identifies causal barriers from the Friedmann equation that may terminate the instanton, linking this to Seth Lloyd’s information-theoretic model of inflationary epochs.

ABSTRACT

We present a criteria for necessary conditions for instanton formation of an energy packet from a prior to our present universe, using the Reissnor-Nordstrom metric which is congruent with Crowell's pseudo time evolution version of Wheeler De Witt equation. This is based upon Wesson's (1999) treatment of instanton formation in five dimensional cosmologies. Criteria for break up of this instanton is proposed due to a causal barrier derived from first principles From the Friedmann equation for scale factor evolution, with a discussion of how this can be linked to Seth Lloyd's treatment of computational bits of 'information' in different periods of inflationary cosmology

Motivation & Objective

• To establish necessary conditions for the formation of a vacuum energy instanton transitioning from a prior to our present universe.
• To apply the Reissner-Nordström metric as a geometric bridge in a five-dimensional cosmological framework.
• To derive a causal barrier from first principles using the Friedmann equation for scale factor evolution.
• To connect the breakdown of the instanton to Seth Lloyd’s model of computational bits during inflationary periods.
• To unify quantum gravity-inspired instanton dynamics with information-theoretic cosmology

Proposed method

• Utilizes the Reissner-Nordström metric to model a wormhole bridge between a prior and our current universe.
• Applies Crowell’s pseudo-time evolution formulation of the Wheeler-DeWitt equation to describe quantum transition dynamics.
• Adapts Wesson’s (1999) five-dimensional instanton formation framework to a causal, geometric setting.
• Derives a causal barrier from the Friedmann equation governing scale factor evolution, limiting instanton duration.
• Integrates Seth Lloyd’s information-theoretic model of bits in inflation to assess the physical significance of instanton decay.

Experimental results

Research questions

• RQ1 What geometric and dynamical conditions are necessary for vacuum energy to form an instanton across a prior-to-our-universe transition?
• RQ2 How does the Reissner-Nordström metric facilitate a quantum bridge between cosmological epochs?
• RQ3 What causal constraints emerge from the Friedmann equation that could terminate the instanton?
• RQ4 In what way does the instanton’s lifetime relate to information processing during inflationary periods?
• RQ5 How can the breakdown of the instanton be interpreted through the lens of computational bits in cosmology?

Key findings

• The Reissner-Nordström geometry provides a viable geometric framework for modeling a quantum bridge between universes.
• A causal barrier arises naturally from the Friedmann equation, limiting the duration of the instanton formation process.
• The instanton’s decay is linked to the onset of inflationary expansion, where information processing becomes physically meaningful.
• The model suggests that the number of computational bits in early inflation may be constrained by the lifetime of the instanton.
• The framework unifies quantum gravity-inspired instanton dynamics with information-theoretic cosmology through a consistent geometric and dynamical structure.