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Oscillating Sequential Universes Model: A Novel Approach to Understand the Evolution of Universe

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11 April 2023

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17 April 2023

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Abstract
Oscillating Sequential Universes Model (OSUM), an innovative cosmological model describing the universe's evolution through the interplay of dark energy and dark matter is presented in this study. The model proposes a series of expansions and contractions driven by dark energy and dark matter interactions, challenging the conventional view of a singular Big Bang event followed by continuous expansion. The necessity for model refinements, incorporating new observational constraints, reassessing dark energy-dark matter interaction assumptions, and investigating alternative mathematical formulations for the oscillation mechanism have been discussed in this study. The OSUM offers a comprehensive framework for future research and potential discoveries in astrophysics, cosmology, and fundamental physics, raising new questions and challenging prevailing assumptions about the cosmos.
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Subject: Physical Sciences  -   Astronomy and Astrophysics

1. Introduction

Over the past century, the emergence of the Big Bang theory and subsequent refinements in subsequent studies have revolutionized our understanding of the existence of the universe (e.g. Guth, 1981; Peebles, 1993; Linde, 2008). The current standard model of cosmology, known as the ΛCDM model, has been highly successful in explaining a wide range of observations, such as the cosmic microwave background radiation (CMBR) (Planck Collaboration et al., 2018), the formation of large-scale structure (Springel et al., 2005) and the accelerating expansion of the universe (Riess et al., 1998; Perlmutter et al., 1999). This model is based on the existence of two enigmatic components, dark energy and dark matter, which together account for about 95% of the total energy of the universe (Planck Collaboration et al., 2018).
Despite its many successes, the ΛCDM model has several unresolved issues and limitations. For instance, the nature of dark energy and dark matter remains largely unknown, and the model does not fully address the initial conditions of the universe or the ultimate fate of cosmic expansion. These challenges have motivated researchers to explore alternative cosmological models that may offer new insights into the fundamental properties and evolution of the universe (e.g., Steinhardt & Turok, 2007; Frampton et al., 2011; Lehners, 2012).
In this paper, I propose a novel cosmological model, the OSUM, which describes the universe as a system oscillating between phases of dark energy and dark matter dominance. This model is inspired by the cyclic cosmology ideas (e.g., Steinhardt & Turok, 2007) and aims to address some of the limitations of the ΛCDM model by providing a new perspective on the universe's origin, evolution, and ultimate fate. The underlying mechanisms driving the oscillation between the dark energy and dark matter phases were explored. The potential implications of the model for our understanding of the past, present and future of the universe were discussed.

2. Method

The GPT-4 LLM model of Open AI has been used in the writing of this paper. The basic concept of the proposed model of the universe was discussed with GPT-4. GPT-4 is a model with knowledge of theoretical physics, astrophysics and astrology relevant to the topic of this paper. In order to justify the interdisciplinary dimensions of the model, the GPT-4 model has been used. Thus, the GPT-4 model was used as a knowledge resource to explain the principles of OSUM with the body of knowledge from the related scientific fields.

3. Dark Energy and Dark Matter

3.1. Overview of dark energy and dark matter

Dark energy and dark matter are two enigmatic components that play crucial roles in shaping the large-scale structure and dynamics of the universe. While they do not emit, absorb, or reflect electromagnetic radiation, their presence can be inferred from their gravitational effects on visible matter and the cosmic microwave background radiation (CMBR) (Bertone & Hooper, 2018; Weinberg et al., 2013).
Dark energy is the dominant component of the universe, comprising approximately 68% of its total energy content. It is believed to be responsible for the observed accelerated expansion of the universe, as it generates a repulsive gravitational force that counteracts the attractive force of gravity due to matter (Riess et al., 1998; Perlmutter et al., 1999). Although the precise nature of dark energy remains unknown, the most widely accepted hypothesis is that it is associated with the cosmological constant (Λ), a constant energy density that fills space homogeneously and is inherent to the vacuum itself (Carroll, 2001).
Dark matter, on the other hand, accounts for about 27% of the universe's total energy content and is thought to be composed of non-baryonic particles that interact only through gravity and possibly weakly through other forces (Bertone et al., 2005). The presence of dark matter is evidenced by its effects on the motion of galaxies, the formation of large-scale cosmic structures, and the CMBR (Rubin et al., 1980; Clowe et al., 2006; Planck Collaboration et al., 2018). Despite extensive experimental and observational efforts, the exact nature and properties of dark matter particles remain elusive (Bertone & Hooper, 2018).

3.2. Role of dark energy and dark matter in the universe's expansion and contraction

In the context of the ΛCDM model, the interplay between dark energy and dark matter determines the expansion history and the ultimate fate of the universe. Dark matter's attractive gravitational force tends to slow down the expansion, while dark energy's repulsive force accelerates it (Peebles & Ratra, 2003). The balance between these competing effects is determined by their relative contributions to the universe's energy density and has important implications for the overall evolution of the cosmos.
OSUM propose a new paradigm in which the universe transitions between phases of dark energy and dark matter dominance. This oscillation mechanism could lead to alternating periods of expansion and contraction, with the universe eventually reaching a critical point where the attractive force of dark matter becomes strong enough to overcome dark energy's repulsive force, leading to a contraction phase.

3.3. Dark energy and dark matter interactions in the proposed model

In the OSUM, the interactions between dark energy and dark matter are crucial for driving the oscillatory behavior of the universe. To explore this idea further, investigating the potential coupling between these two components and their impact on the universe's dynamics have critical importance.
One possibility is that dark energy and dark matter are not independent entities but instead represent different aspects of a unified dark sector (Khoury & Weltman, 2004; Bento et al., 2002). In this framework, the oscillation mechanism could be driven by changes in the coupling strength between dark energy and dark matter, leading to the alternating dominance of one component over the other.

4. Theoretical Foundations and Mathematical Framework

4.1. Adapting the Friedmann equations

The Friedmann equations are a set of differential equations derived from the Einstein field equations in the context of the homogeneous and isotropic cosmological models, and they describe the evolution of the scale factor of the universe over time (Friedmann, 1922, 1924). In the standard ΛCDM model, the Friedmann equations are used to describe the dynamics of the universe's expansion in the presence of dark energy and dark matter.
In the OSUM, it is suggested to modify the Friedmann equations to account for the oscillatory behavior of the universe and the interactions between dark energy and dark matter. This involves introducing new terms and modifying existing ones to reflect the coupling between these two components and the oscillation mechanism.

4.2. Incorporating dark energy-dark matter interactions

To incorporate the interactions between dark energy and dark matter, it is suggested to introduce a coupling term in the modified Friedmann equations. This term represents the energy transfer between dark energy and dark matter, allowing for the possibility of a unified dark sector (Khoury & Weltman, 2004; Bento et al., 2002).
Moreover, various functional forms for the coupling term can be explored, reflecting different possible scenarios for the interactions between dark energy and dark matter. These scenarios may include, for example, an energy exchange proportional to the energy densities of the two components or a more complex dependence on the scale factor and other cosmological parameters.

4.3. Describing the oscillation mechanism

In order to model the oscillatory behavior of the universe in the OSUM, a mathematical description of the oscillation mechanism need to be developed. This will involve the identification of conditions that enable the universe to transition between phases of dark energy and dark matter dominance, as well as quantifying the energy transfer between the two components during these transitions. This will be accomplished by exploring various potential triggers for the oscillation mechanism, including critical values of the scale factor, energy density ratios, or other cosmological parameters. The role of initial conditions also need to be investigated, including their impact on the onset and duration of the oscillatory behavior.

5. Observational Predictions and Model Comparisons

5.1. Cosmic Microwave Background Radiation (CMBR)

The Cosmic Microwave Background Radiation (CMBR) is the relic radiation from the early universe, providing a snapshot of the universe at approximately 380,000 years after the Big Bang (Penzias & Wilson, 1965; Smoot et al., 1992). The CMBR is a powerful tool for testing cosmological models, as its anisotropies and power spectrum provide key constraints on the parameters of these models (Planck Collaboration et al., 2018).
In the OSUM, new predictions will be possible for the CMBR power spectrum and anisotropies based on the modified Friedmann equations and the interactions between dark energy and dark matter. These predictions can be compared with existing CMBR data from experiments such as the Wilkinson Microwave Anisotropy Probe (WMAP) and the Planck satellite, as well as future missions like the LiteBIRD and the Cosmic Microwave Background Stage-4 (CMB-S4) experiment.

5.2. Supernova Observations

Type Ia supernovae are powerful probes of the expansion history of the universe due to their use as "standard candles" for measuring cosmological distances (Riess et al., 1998; Perlmutter et al., 1999). The observed acceleration in the expansion of the universe, which provided the first evidence for dark energy, was initially discovered through the study of distant Type Ia supernovae.
In the OSUM, the distance-redshift relation for Type Ia supernovae can be predicted based on the modified Friedmann equations and the oscillation mechanism. Then these predictions can be compared with existing supernova datasets, such as those from the Supernova Legacy Survey (SNLS), the Dark Energy Survey (DES), and the Pan-STARRS survey, as well as future observations from the Vera C. Rubin Observatory's Legacy Survey of Space and Time (LSST).

5.3. Large-Scale Structure Formation

The large-scale structure of the universe, including the distribution of galaxies and galaxy clusters, is strongly influenced by the presence of dark energy and dark matter (Weinberg et al., 2013). Observations of the large-scale structure provide another means to test and constrain cosmological models, such as the OSUM.
In future research, the modified Friedmann equations and the dark energy-dark matter interaction terms can be utilized to predict the large-scale structure of the universe in the OSUM. Subsequently, these predictions can be compared with observational data from galaxy surveys such as the Sloan Digital Sky Survey (SDSS), the Dark Energy Survey (DES), and the upcoming Euclid mission and Legacy Survey of Space and Time (LSST).

6. Implications, Future Research, and Model Refinements

6.1. Implications for the Early Universe and the Big Bang Theory

The Oscillating Sequential Universes Model (OSUM) presents significant implications for our understanding of the early universe and the Big Bang theory. By proposing oscillatory behavior between dark energy and dark matter-dominated phases, the model challenges the traditional view of a singular Big Bang event followed by continuous expansion. Instead, it suggests the universe may undergo a series of expansions and contractions driven by interactions between dark energy and dark matter. This alternative view raises new questions about the initial conditions and processes leading to the current universe's formation, necessitating further research to explore how the OSUM may affect our understanding of cosmic inflation, baryogenesis, and the formation of the first stars and galaxies.

6.2. The Ultimate Fate of the Universe

The OSUM also has important implications for the universe's ultimate fate. In contrast to the standard ΛCDM model, which predicts either eternal expansion or a Big Rip scenario depending on dark energy properties, the OSUM suggests the universe will continue to oscillate between dark energy and dark matter-dominated phases indefinitely. This raises new questions about the nature of time, the possible existence of multiple "cycles" of the universe, and the potential for observational tests of these ideas.

6.3. Future Research Directions

Several potential future research directions can help refine and test the OSUM, including:
  • Developing more detailed mathematical descriptions of the oscillation mechanism and interactions between dark energy and dark matter.
  • Investigating the impact of alternative dark energy models, such as quintessence or modified gravity theories, on the universe's oscillatory behavior.
  • Exploring potential new observational probes to test the OSUM, such as gravitational waves, 21 cm cosmology, or other future experiments.
  • Studying the implications of the OSUM for fundamental physics, including the possible unification of dark energy and dark matter and the search for a quantum theory of gravity.

6.4. Model Refinements

As more observational data becomes available and our understanding of the universe's evolution deepens, refining the OSUM will be necessary. This may involve incorporating new observational constraints, revisiting assumptions about dark energy-dark matter interactions, or exploring alternative mathematical formulations for the oscillation mechanism. Continually refining and testing the model against new data can work towards a more complete and accurate description of the universe's evolution and the fundamental processes driving its behavior.

7. Conclusions and Outlook

7.1. Summary of the OSUM

The OSUM offers a novel approach to understanding the universe's evolution, driven by the interplay between dark energy and dark matter. This model raises many new questions and challenges our existing assumptions about the cosmos, while providing a rich framework for future research and potential discoveries in astrophysics, cosmology, and fundamental physics. By proposing a universe oscillating between dark energy and dark matter-dominated phases, it challenges the traditional view of a singular expansion following the Big Bang and suggests a more complex picture of the universe's evolution.

7.2. Future Prospects

As new observational data becomes available and our understanding of the universe evolves, further refinement and testing of the OSUM against new findings will be necessary. This may involve incorporating constraints from future observational probes like gravitational wave detectors, 21 cm cosmology experiments, or next-generation galaxy surveys such as the Euclid mission and the Vera C. Rubin Observatory's Legacy Survey of Space and Time (LSST). Additionally, it may involve revisiting assumptions about dark energy-dark matter interactions and exploring alternative mathematical formulations for the oscillation mechanism.
Future research should also focus on the OSUM's broader implications for fundamental physics, such as the possible unification of dark energy and dark matter or the search for a quantum theory of gravity. Investigating these connections may yield new insights into the underlying principles governing the universe's behavior and ultimately work towards a more complete and unified understanding of the cosmos.

7.3. Outlook

The OSUM represents an exciting new direction in cosmological research, offering a fresh perspective on the universe's evolution and the interplay between dark energy and dark matter. While the model raises many new questions and challenges our existing assumptions about the cosmos, it also provides fertile ground for future research and potential discoveries in astrophysics, cosmology, and fundamental physics.
As we continue to explore the implications of the OSUM and refine it in light of new observational data, we may uncover new insights into the universe's history, the nature of dark energy and dark matter, and the fundamental laws governing the cosmos. In this pursuit, the OSUM not only represents a novel approach to understanding the universe's evolution but also serves as a reminder of the vast potential for discovery and innovation in the ever-evolving field of cosmology.

Acknowledgments

This study was conducted in collaboration with GPT-4. The foundational concept of the proposed universe model originated from human author’s ideas, which were initially explored in a science fiction essay. The discussion of Oscillating Sequential Universes with the AI led to further examination of the scientific underpinnings of this theory. Although my expertise lies in educational technology and not in theoretical physics, astrophysics, or astrology, GPT-4 possesses a comprehensive knowledge in these areas. I am confident that this innovative collaboration with AI will pave the way for interdisciplinary researchers and contribute to significant advancements in the scientific community.

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