Background: The reconciliation of General Relativity with Quantum Mechanics remains the primary challenge in modern theoretical physics. Traditional approaches often assume a fixed background geometry, yet recent developments in string theory and loop quantum gravity suggest that spacetime is not fundamental but emergent. Specifically, the Holographic Principle implies that the information defining the bulk universe is encoded on a lower-dimensional boundary, raising the question of how a singular, classical reality arises from a quantum superposition of geometries. Purpose: This paper proposes a novel model of quantum cosmology where the observed spacetime is defined not as a pre-existing manifold, but as a macroscopic "ensemble average" of all possible spacetime fabrics. We aim to demonstrate that the perception of a unique physical reality is a result of holographic projection rather than intrinsic geometric properties. Methods: We utilize the AdS/CFT correspondence to model the universe as a holographic projection arising from a single, universal quantum state. By applying Feynman’s Path Integral formulation to the "superspace" of all possible metrics, we calculate the sum over histories for these geometric projections. We treat the emergence of classical spacetime as a process of constructive interference among infinite holographic realizations, filtering out unstable geometries through environmental decoherence.

Abstract We develop a stochastic extension of the Wheeler–DeWitt equation in FLRW minisuperspace and show that quantum backreaction can dynamically regulate the big bang singularity without imposing external boundary conditions. Using Laplace–Beltrami quantisation and an open-system treatment of coarse-grained graviton modes, we obtain a stochastic Hamiltonian evolution equation in which the diffusion coefficient takes the form $\sigma(a)\propto a^2$. This multiplicative noise vanishes at the origin and renders $a=0$ an entrance boundary in Feller’s classification, leading to super-exponential suppression of the Laplace–Beltrami weighted stationary density and zero probability flux into the singular point. At large scale factor, the global behaviour depends on the cosmological sector: de Sitter and positive potential-dominated regimes exhibit power-law stationary tails, whereas confining potentials or negative effective cosmological constant lead to an entrance boundary at infinity and a globally normalizable steady state. Taken together, these results indicate that stochastic backreaction arising from semiclassical coarse-graining provides a consistent and dynamical mechanism for singularity avoidance in minisuperspace quantum cosmology.

Abstract In the framework of Loop Quantum Cosmology, we study a cosmological bouncing model with two fields that reproduce the desired features of the primordial power spectra. The model combines the matter-bounce mechanism, that generates scale-invariant perturbations, with ekpyrotic contraction, that suppresses anisotropies leading to the bounce. The bounce that replaces the classical initial singularity is achieved thanks to the loop quantisation. The matter-bounce is enacted by a quasi-dust scalar field, with a slightly-negative equation of state that accounts for a small positive cosmological constant, that generates a red-tilt in the perturbations' power spectra. A second field, endowed with an ekpyrotic potential, is introduced to tame the growth of anisotropies throughout the bouncing phase. The equations of motion of the scalar perturbations are non-trivially coupled, leading to rich phenomenology that cannot be inferred simply from their single-field counterpart. We study the evolution of scalar and tensor perturbations and compare the results to current observations, showing the viability of this model as a base for further investigations.

Starobinsky potential and power suppression in hybrid loop quantum cosmology

Abstract We propose the experimental simulation of cosmological perturbations governed by a Planck-scale induced Lorentz violating dispersion, aimed at distinguishing between early-universe models with similar power spectra. Employing a novel variant of the scaling approach for the evolution of a Bose–Einstein condensate with both contact and dipolar interactions, we capture the hitherto unobserved phenomenon of trans-Planckian damping. We show that scale invariance, and in turn, the duality of the power spectrum is subsequently broken at large momenta for an inflating gas, and at small momenta for a contracting gas. We thereby furnish a Planck-scale sensitive approach to analogue quantum cosmology that can readily be implemented in the quantum gas laboratory.

Quantum cosmology in accelerating spacetimes

Dynamic Vacuum Field Theory (DVFT) proposes a unified framework for quantum mechanics, general relativity, and cosmology through a dynamic vacuum field Φ(????) = ????(????)????????????(????) , where ????(????) is the amplitude (inertial component) and ????(????) is the phase (oscillatory component) eliminating the need for dark matter particles, inflation, or a separate cosmological constant. This report derives key DVFT equations relevant to cosmology and compares its predictions with Cosmic Microwave Background (CMB) data from Planck, high-redshift observations from the James Webb Space Telescope (JWST), and implications for the Hubble tension. DVFT qualitatively matches the CMB power spectrum and JWST's early galaxy formations but predicts novel features like low-multipole boosts in ???????? and faster structure growth. Additionally, DVFT's deep-field nonlinearities reproduce Modified Newtonian Dynamics (MOND) effects for galaxy rotations, offering a physical basis complementing standard MOND. DVFT aligns with data while resolving tensions, positioning it as a viable alternative to ΛCDM, with testable deviations in upcoming surveys.

Quantum Oppenheimer-Snyder models in loop quantum cosmology with Lorentz term

In this paper, we study the quantum information dynamics of spin-1/2 particles in a spinning conical Gödel-type spacetime. Our focus is on calculating the Shannon and Fisher information measures to understand the influence of spacetime parameters on quantum information. By analyzing these information metrics, we explore the physical implications of the connection between the spin-1/2 particles and the geometric properties of the spacetime such as curvature, rotation, and conical structure. This investigation provides deeper insights into how these spacetime features affect quantum information, offering potential applications in quantum gravity and cosmology.

Field Interaction Theory ‘Qd12 Infinite Eternal Matrix Energy Field’ “The Pre-Universe” A Unified Spectral Matrix Framework for Quantum Mechanics, Gravity, and Cosmology

The nature of consciousness and its relationship to physical reality remain among the most profound scientific and philosophical challenges. This paper presents a novel framework that integrates consciousness with fundamental physics, proposing that consciousness is not an emergent property of neural processes but a foundational aspect of reality. Building upon insights from quantum field theory and non-dual philosophy, a model based on the three principles of universal mind, universal consciousness, and universal thought is introduced. These principles describe an underlying, formless intelligence (mind), the capacity for awareness (consciousness), and the dynamic mechanism through which experience and differentiation arise (thought). Within this framework, the emergence of space–time and individual awareness is modeled mathematically by treating universal consciousness as a fundamental field. Differentiation into individual experience occurs via mechanisms such as symmetry breaking, quantum fluctuations, and discrete state selection—paralleling established concepts in physics, including Bohm’s implicate order, Heisenberg’s potentia, and Wheeler’s participatory universe. This model suggests that the apparent separateness of individual consciousness is an illusion, with all experience ultimately arising from a unified, formless substrate. The framework aligns with emerging theories in quantum gravity, information theory, and cosmology that posit classical space–time as emergent from a deeper pre-spatiotemporal order. It offers a non-reductionist alternative in neuroscience, suggesting that consciousness interacts with physical processes as a fundamental field. By drawing from insights from physics, metaphysics, and philosophy, this conceptual framework proposes new directions for interdisciplinary inquiry into the nature of consciousness and the origins of structure and experience.

Abstract Spherically symmetric effective dust collapse inspired by effective loop quantum cosmology predicts a bounce when the stellar energy density becomes planckian, which in turn inevitably leads to shell-crossing singularity formation. An extension of the spacetime beyond such singularities is possible through weak solutions of the equations of motion in integral form, leading to the shockwave model. In this work, we show explicitly that such an extension is not unique, and that relevant features like the black hole life-time strongly depend on the choice of the integral form of the equation of motion.

This paper introduces a thermodynamic unified field theory (UFT) that derives all physical phenomena from fundamental principles of entropy maximization, positing the photrino—a composite of photons, neutrinos, and anti-neutrinos—as the elementary entity. Grounded in three axioms—entropy maximization for equilibrium, Gibbs free energy linked to photon frequency with helicity encoding, and symmetries governing rotational and translational fluxes—the theory synthesizes quantum mechanics, general relativity, electromagnetism, and cosmology into a cohesive framework. By treating reality as a multi-phase flux sea, it eliminates arbitrary parameters in the Standard Model, deriving particle masses, interactions, and cosmic structures from thermodynamic scales. Key derivations include the reactive Hessian partial differential equations for flux dynamics, emergent time from angular-to-linear momentum "snaps," and the structural parameter β=5 incorporating gluon degrees of freedom for dimensional stability. The UFT resolves longstanding puzzles, such as the proton spin crisis (via rotational flux contributions), neutrino handedness (helicity signs), cosmological lithium anomaly (flux dilution), Yang-Mills mass gap (finite Hessian minima), and phase transition discontinuities (Gibbs continuity). It reinterprets quantum effects like double-slit interference and entanglement as phase equilibria, and classical laws (e.g., Maxwell's equations, Navier-Stokes) as dilute limits. Empirical alignments with observations in atomic spectra, QGP experiments, and cosmology are demonstrated, with testable predictions including photrino signatures in neutrino detectors, blueprints for room-temperature superconductors, optimized catalysis, and fusion plasma stability. This paradigm shifts physics toward a thermodynamic foundation, offering practical applications in materials science, biology, and energy while implying a cyclic, multiverse cosmology.

Quantum field theory is currently the most accurate description of matter, but this framework is the result of a long evolution of the concept of particle in physics. In this article, we trace this development: starting from classical mechanics, where particles are treated as point-like objects; moving to quantum mechanics, where they are described as waves associated with probabilities; and finally arriving at quantum field theory, where particles appear as excitations of fundamental fields. We show that in curved or expanding spacetimes, the definition of a particle is no longer unique: different observers can adopt different vacuum states and consequently identify particles in different ways. We also discuss the role of the quantum vacuum and its connection to the cosmological constant problem, one of the major open questions in contemporary physics. By connecting quantum theory, general relativity, and cosmology, the article addresses both the progress achieved and the conceptual challenges that remain in describing the universe at its most extreme scales.

Abstract The application of nonlinear electrodynamics at high energy scales has led to a variety of interesting phenomena in recent years, particularly within the context of non-singular spacetime geometries. Additionally, it is postulated that gravity near the Planck scale is governed by a minimal cut-off length, which acts as a renormalization scale against ultraviolet pathologies. Within this framework, we combine both concepts by introducing modifications to the electric and matter sectors of a black hole as its size approaches this minimal length. The result is an electrically charged black hole that is free from ultraviolet divergences and recovers the Maxwell limit at classical scales. We further explore the geometric and thermodynamic properties of the resulting solution within a cosmological anti-de Sitter background, revealing a chemical analogy with that of a Van der Waals fluid. Subsequently, we examine the charged black hole in de Sitter space and construct four corresponding gravitational instantons. We then study their cosmological quantum production using the formalism of the pair creation rate within the context of the no-boundary proposal.

Instead of assuming that they depend only on the background variables, we investigate the hypothesis that counter-terms appearing in the deformed algebra approach to loop quantum cosmology depend on the full phase-space variables. We derive the associated anomalies and solve the entire system in several specific cases. New restrictions on the generalized holonomy corrections are obtained.

This essay offers an inquiry that combines autobiography, ethnography, psychology, neuroscience, and onto-epistemological reflections. Its format and style attempt to display what might be called a native quantum cosmology. Shifting our gaze from a dissociative view of an external reality to an intra-active view of relationality and entanglement in our understanding of reality is identified as critical challenge. In a sense this is a response to Bateson’s warning that we have to restructure the whole of our thinking in order to develop a new story. The essay provides an illustration of how this might be done.

Abstract A quantum‐corrected black hole metric has been derived in [Lewandowski et al., Phys. Rev. Lett. 130 (2023) 10, 101501] within the context of the quantum Oppenheimer–Snyder model inspired by loop quantum cosmology. Using the Frobenius method, we have obtained precise values for the fundamental quasinormal modes and the first few overtones for scalar and electromagnetic perturbations. Our results reveal that, unlike the fundamental mode, the overtones exhibit high sensitivity to quantum corrections, leading to qualitatively new spectral behavior. Notably, our findings suggest that modes with real oscillation frequencies approaching zero appear in the spectrum. The existence of arbitrarily long‐lived modes, known as quasi‐resonances is also demonstrated.

There are two kinds of quantum fluctuations relevant to cosmology that we focus on in this article: those that form the seeds for structure formation in the early universe and those giving rise to Boltzmann brains in the late universe. First, structure formation requires slight inhomogeneities in the density of matter in the early universe, which then get amplified by the effect of gravity, leading to clumping of matter into stars and galaxies. According to inflation theory, quantum fluctuations form the seeds of these inhomogeneities. However, these quantum fluctuations are described by a quantum state which is homogeneous and isotropic, and this raises a problem, connected to the foundations of quantum theory, as the unitary evolution alone cannot break the symmetry of the quantum state. Second, Boltzmann brains are random agglomerates of particles that, by extreme coincidence, form functioning brains. Unlikely as these coincidences are, they seem to be predicted to occur in a quantum universe as vacuum fluctuations if the universe continues to exist for an infinite (or just very long) time, in fact to occur over and over, even forming the majority of all brains in the history of the universe. We provide a brief introduction to the Bohmian version of quantum theory and explain why in this version, Boltzmann brains, an undesirable kind of fluctuation, do not occur (or at least not often), while inhomogeneous seeds for structure formation, a desirable kind of fluctuation, do.

Abstract We propose a new approach to studying hyperbolic Kac–Moody algebras, focussing on the rank-3 algebra $${\mathfrak {F}}$$ F first investigated by Feingold and Frenkel. Our approach is based on the concrete realization of this Lie algebra in terms of a Hilbert space of transverse and longitudinal physical string states, which are expressed in a basis using DDF operators. When decomposed under its affine subalgebra $${A_1^{(1)}}$$ A 1 ( 1 ) , the algebra $${\mathfrak {F}}$$ F decomposes into an infinite sum of affine representation spaces of $${A_1^{(1)}}$$ A 1 ( 1 ) for all levels $$\ell \in \mathbb {Z}$$ ℓ ∈ Z . For $$|\ell | >1$$ | ℓ | > 1 there appear in addition coset Virasoro representations for all minimal models of central charge $$c<1$$ c < 1 , but the different level- $$\ell $$ ℓ sectors of $${\mathfrak {F}}$$ F do not form proper representations of these because they are incompletely realized in $${\mathfrak {F}}$$ F . To get around this problem we propose to nevertheless exploit the coset Virasoro algebra for each level by identifying for each level a (for $$|\ell |\ge 3$$ | ℓ | ≥ 3 infinite) set of ‘Virasoro ground states’ that are not necessarily elements of $${\mathfrak {F}}$$ F (in which case we refer to them as ‘virtual’), but from which the level- $$\ell $$ ℓ sectors of $${\mathfrak {F}}$$ F can be fully generated by the joint action of affine and coset Virasoro raising operators. We conjecture (and present partial evidence) that the Virasoro ground states for $$|\ell |\ge 3$$ | ℓ | ≥ 3 in turn can be generated from a finite set of ‘maximal ground states’ by the additional action of the ‘spectator’ coset Virasoro raising operators present for all levels $$|\ell | > 2$$ | ℓ | > 2 . Our results hint at an intriguing but so far elusive secret behind Einstein’s theory of gravity, with possibly important implications for quantum cosmology.