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Quantum genesis: The emergence of a flat universe and its mirror from nothing

I've long been fascinated by the fundamental mystery of our universe's origin. In my work, I explore an alternative to the traditional singularity-based models of cosmology. Instead of a universe emerging from an infinitely dense point, I propose that a flat universe and its time-reversed partner—an anti-universe—can emerge together from nothing through a smooth, quantum process.

This model, described in a accepted for publication in Europhysics Letters, addresses some of the key challenges in earlier proposals, such as the Hartle–Hawking no-boundary and Vilenkin's tunneling approaches.

Theoretical background

Traditional models of cosmic creation often involve Euclidean space—a phase where time behaves more like a spatial dimension—to sidestep the singularity problem. The Hartle–Hawking proposal imagines a universe emerging from a smooth, compact geometry, yet it typically predicts too few inflationary e-folds to match our observations. Meanwhile, Vilenkin's tunneling approach, while compatible with a robust inflationary period, struggles to correctly generate the spectrum of cosmic fluctuations.

A key element missing from these approaches is the incorporation of a mechanism that naturally accounts for a flat universe, as observed today. In classical cosmology, spatial curvature plays a critical role. However, observations suggest that our universe is nearly flat (k = 0). This disconnect led me to consider whether another ingredient—specifically, a quantum potential—could take on the role usually reserved for curvature.

My model

In my model, I propose that our universe did not arise from a classical singularity but instead emerged from a Euclidean phase through quantum mechanics. The essence of the idea is that two branches—a universe and its time-reversed anti-universe—are created simultaneously. Here's how I approach it:

• Euclidean instanton: The process starts with a Euclidean instanton, a phase in which the conventional notion of time is replaced by a more spatial-like behavior. During this phase, the scale factor of the universe, which tells us about its size, follows a cosine-like behavior. This behavior ensures that the universe emerges with a finite size at the moment time begins, thereby avoiding the infinite densities associated with singularities.

Quantum potential as a curvature substitute: In the quantum realm, every particle is described by a wavefunction that includes not only a classical potential but also an additional quantum potential. I discovered that this quantum potential can effectively mimic the role of spatial curvature. Even with k = 0, the quantum potential allows for a smooth transition from the Euclidean phase to the Lorentzian phase (our familiar time-evolving universe).

CPT symmetry and universe/anti-universe pairing: A fundamental symmetry in physics, known as CPT (charge, parity, and time reversal) symmetry, implies that processes occur in mirrored pairs. In my model, this symmetry ensures that when our universe emerges in one time direction, an anti-universe emerges in the opposite time direction. Although these two branches are classically separate, they remain quantum mechanically entangled, which may have significant implications for our understanding of dark energy and dark matter.

Cosmological implications

The implications of this model extend far beyond the origin of the cosmos. By naturally producing a universe/anti-universe pair, several longstanding puzzles in cosmology may find new explanations:

• Avoidance of the initial singularity: Because the universe emerges with a finite scale factor from a Euclidean instanton, the problematic singularity is avoided. This not only resolves a major theoretical hurdle but also aligns with the view that the laws of physics should remain well-behaved at the universe's inception.

• Inflationary expansion: The use of a quantum potential allows the model to reproduce a large number of inflationary e-folds—the rapid expansion phase necessary to explain the uniformity and flatness observed in the cosmos. This addresses one of the key weaknesses in the no-boundary proposal.

• Dark energy and dark matter: The quantum entanglement between the universe and its anti-universe may be responsible for the mysterious phenomenon of dark energy, driving the accelerated expansion we observe today. Additionally, the symmetric creation process could provide insights into the nature and abundance of dark matter, potentially connecting these cosmic puzzles to the very birth of the universe.

Future directions and open questions

While my model presents an intriguing alternative to traditional cosmological theories, several avenues remain for further exploration.

A critical next step is to derive testable predictions from this framework. I am working to identify subtle signatures—such as specific patterns in the cosmic microwave background or in the large-scale structure of the universe—that could validate the universe/anti-universe creation process.

Bridging the gap between quantum mechanics and general relativity is a central challenge in modern physics. I aim to further develop the theoretical underpinnings of this model to better connect with ongoing research in quantum gravity, such as approaches found in loop quantum cosmology.

More work is also needed to understand how the quantum potential quantitatively replaces the role of curvature. This includes exploring its behavior in various cosmological epochs and its influence on the dynamics of cosmic inflation and structure formation.

In summary, my research offers a novel perspective on the origin of our universe by proposing that a flat universe and its mirror anti-universe can emerge simultaneously from nothing through a quantum process. By replacing traditional curvature with a quantum potential, this model is consistent with the observed flatness of the universe and naturally leads to a robust inflationary period. Moreover, the inherent CPT symmetry of the process results in the formation of a universe/anti-universe pair, which may provide fresh insights into dark energy and dark matter.

While much is still to be explored, this work opens new paths for understanding the early universe and the profound interplay between quantum mechanics and the fabric of spacetime. I remain excited about the possibility that further research in this direction could illuminate some of the deepest mysteries in cosmology.

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