In December 2025, a collaborative team of physicists from Seoul National University and the Massachusetts Institute of Technology (MIT) published a study that fundamentally changes the understanding of the early universe. Researchers Sunghoon Jung, Sungjung Kim, Jiwoo Park, and Seokhyeon Song have made it possible to examine the “initial state” of the universe a time when the smooth geometry described by Einstein’s General Relativity disintegrates into a turbulent “quantum foam” by developing a mathematical framework known as Random Matrix Product States (RMPS).
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The Breakthrough: Mapping the Quantum Foam
The idea of “gravitationally prepared states” lies at the core of this finding. The quantum wave function of a closed world is represented by these states in quantum field theory. They are created by visualizing a cosmos in which matter does not have certain boundary requirements, but gravity does. These states are crucial because they serve as a storehouse of data for the evolution of a universe by encoding the complete history of gravitational events from the past.
The main challenge in researching these states has been their enormous complexity. Complex spacetime geometries with numerous holes and bridges, known as “higher topologies” or “Wormhole Phase Transition,” are generally difficult for standard scientific approaches to account for. Prior to this study, it was frequently thought that utilising conventional semiclassical approaches would not be able to determine the contributions of these complex structures to the state of the universe.
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Understanding Gravitationally Prepared States
The research team used Random Matrix Product States to resolve these issues. This instrument is a kind of “tensor network” that was first created for many-body quantum systems, including analyzing how atoms behave in crystals. The researchers developed a model that might replicate the statistical behaviour of quantum gravity by introducing randomness into these matrices.
The RMPS method provides previously unheard-of accuracy. It makes it possible to calculate intricate geometric configurations to all orders of approximation, including “replica geometries” that are used to calculate quantum entanglement. Scientists may investigate how the current condition of matter fields is directly influenced by the gravitational history of the past with this level of precision.
The Innovation: Random Matrix Product States (RMPS)
The confirmation of the “bra-ket wormhole phase transition” is among its most important findings. “Bra” and “ket” denote the two sides of a probability calculation in the context of quantum physics. A Wormhole Phase Transition is a spacetime bridge that connects these two sides in a gravitational context.
The group found that this phase transition, which occurs when the universe’s geometry changes fundamentally, may be mathematically guaranteed. As long as the “transfer matrix” of the RMPS meets a particular mathematical requirement known as the spectral gapping property, this assurance is there. This finding is crucial because it shifts the discussion from theoretical speculation to a mathematical framework by offering a rigorous mathematical basis for understanding why and when wormholes dominate the physics of the early cosmos.
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The Bra-Ket Wormhole Phase Transition
The revealed shocking information concerning “off-shell” wormholes. Configurations that follow known equations of motion, such as the trajectory of a thrown ball, are said to as “on-shell” in classical physics. However, “off-shell” configurations only exist as quantum fluctuations and do not follow these classical routes.
The RMPS model is sufficiently robust to incorporate off-shell wormholes, whereas conventional gravity models frequently overlook them because to their lack of stable classical solutions. Within gravitationally prepared states, the researchers discovered that these off-shell structures actually contribute to nonzero long-distance correlations. This suggests that a wormhole’s quantum presence connects far-off parts of the cosmos even if it isn’t a stable “bridge” in the traditional sense, possibly leaving behind quantifiable evidence that researchers could someday find.
Off-Shell Wormholes and Long-Distance Correlations
The researchers were able to examine de Sitter gravitationally prepared states by effectively extending their model from two-dimensional systems into continuous space. Since de Sitter space is the mathematical model for a universe experiencing accelerated expansion, similar to what the universe experienced during the cosmic inflation era, this is extremely pertinent to the own reality.
The group developed a novel “toolkit” for investigating non-perturbative effects in quantum gravity phenomena that are too powerful or complicated to be represented by conventional step-by-step approximation techniques by applying matrix models to de Sitter space. This discovery offers a fresh perspective on how quantum effects interact with spatial geometry.
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Cosmological Implications: de Sitter Space and Inflation
Information theory, condensed matter physics, and high-energy physics are the three main scientific disciplines that come together in this topic. It supports the “holographic” theory of the cosmos, which holds that spacetime is an emergent characteristic of quantum entanglement rather than a basic “fabric.”
The following are important pillars of this study:
- The AdS/CFT Correspondence: A duality between conformal field theories and gravity in Anti-de Sitter space.
- Quantum Entanglement: Understanding the structure of spacetime by applying ideas such as entanglement entropy.
- Information Scrambling: A concept associated with the “butterfly effect” is the notion that qubit, quantum phenomena, such as black holes, are capable of scrambling information.
The Roadmap for Future Research
Even if there isn’t yet a “Theory of Everything,” this RMPS framework offers a path forward for further research. Future research will concentrate on:
- The Nature of Time: Examining how the current quantum state is encoded with the gravitational history of the past.
- Cosmic Inflation: Assessing whether the distribution of matter in the early cosmos may be explained by long-distance correlations.
- Quantum Error Correction: Examining the mathematical parallels between modern computing’s quantum coding and Wormhole Phase Transition.
The solid link between the vast, expanding universe and the abstract realm of quantum matrices by demonstrating that wormhole phase transitions are an intrinsic, guaranteed characteristic of these states.
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