Searcharxiv⌕ Search

arXiv subjects

Andrei T. Patrascu

Publications and source records attributed to Andrei T. Patrascu.

At least 19 recordsLinked to original sources

Observational Signatures of Pseudoaxion Resonances: Transient Geometry and Axion-Graviton Conversion in String-Theoretic Cosmology

We propose a novel observational strategy for the detection of pseudoaxions, emerging as transient resonances tied explicitly to the evolution of internal geometry in string theory and brane-world cosmologies. Building upon our previous work identifying pseudoaxions as resulting from topologically transient cycles-pseudo-cycles-revealed by persistent homology, we detail how cosmological expansion and geometric flattening in compactified extra dimensions dynamically modulate pseudoaxion parameters. These modulations trigger resonant phenomena, distinct from standard axion scenarios, such as enhanced axion-graviton conversion and observable gravitational wave polarisation asymmetries. We explicitly describe how geometric transitions within Calabi-Yau manifolds and D-brane configurations determine these resonance conditions. Finally, we discuss the clear, experimentally distinguishable signatures these transient pseudoaxions produce, focusing on gravitational wave observations, and outline observational tests within current and future gravitational wave detectors.

hep-th↗

Constructive Symbolic Reinforcement Learning via Intuitionistic Logic and Goal-Chaining Inference

We introduce a novel learning and planning framework that replaces traditional reward-based optimisation with constructive logical inference. In our model, actions, transitions, and goals are represented as logical propositions, and decision-making proceeds by building constructive proofs under intuitionistic logic. This method ensures that state transitions and policies are accepted only when supported by verifiable preconditions -- eschewing probabilistic trial-and-error in favour of guaranteed logical validity. We implement a symbolic agent operating in a structured gridworld, where reaching a goal requires satisfying a chain of intermediate subgoals (e.g., collecting keys to open doors), each governed by logical constraints. Unlike conventional reinforcement learning agents, which require extensive exploration and suffer from unsafe or invalid transitions, our constructive agent builds a provably correct plan through goal chaining, condition tracking, and knowledge accumulation. Empirical comparison with Q-learning demonstrates that our method achieves perfect safety, interpretable behaviour, and efficient convergence with no invalid actions, highlighting its potential for safe planning, symbolic cognition, and trustworthy AI. This work presents a new direction for reinforcement learning grounded not in numeric optimisation, but in constructive logic and proof theory.

cs.AI↗

Experimental verification of the quantum nature of a neural network

Neural networks are being used to improve the probing of the state spaces of many particle systems as approximations to wavefunctions and in order to avoid the recurring sign problem of quantum monte-carlo. One may ask whether the usual classical neural networks have some actual hidden quantum properties that make them such suitable tools for a highly coupled quantum problem. I discuss here what makes a system quantum and to what extent we can interpret a neural network as having quantum remnants. I suggest that a system can be quantum both due to its fundamental quantum constituents and due to the rules of its functioning, therefore, we can obtain entanglement both due to the quantum constituents' nature and due to the functioning rules, or, in category theory terms, both due to the quantum nature of the objects of a category and of the maps. From a practical point of view, I suggest a possible experiment that could extract entanglement from the quantum functioning rules (maps) of an otherwise classical (from the point of view of the constituents) neural network.

cs.NE↗

(Pseudo-)Synthetic BRST quantisation of the bosonic string and the higher quantum origin of dualities

In this article I am arguing in favour of the hypothesis that the origin of gauge and string dualities in general can be found in a higher-categorical interpretation of basic quantum mechanics. It is interesting to observe that the Galilei group has a non-trivial cohomology, while the Lorentz/Poincare group has trivial cohomology. When we constructed quantum mechanics, we noticed the non-trivial cohomology structure of the Galilei group and hence, we required for a proper quantisation procedure that would be compatible with the symmetry group of our theory, to go to a central extension of the Galilei group universal covering by co-cycle. This would be the Bargmann group. However, Nature didn't choose this path. Instead in nature, the Galilei group is not realised, while the Lorentz group is. The fact that the Galilei group has topological obstructions leads to a central charge, the mass, and a superselection rule, required to implement the Galilei symmetry, that forbids transitions between states of different mass. The topological structure of the Lorentz group however lacks such an obstruction, and hence allows for transitions between states of different mass. The connectivity structure of the Lorentz group as opposed to that of the Galilei group can be interpreted in the sense of an ER=EPR duality for the topological space associated to group cohomology. In string theory we started with the Witt algebra, and due to similar quantisation issues, we employed the central extension by co-cycle to obtain the Virasoro algebra. This is a unique extension for orientation preserving diffeomorphisms on a circle, but there is no reason to believe that, at the high energy domain in physics where this would apply, we do not have a totally different structure altogether and the degrees of freedom present there would require something vastly more general and global.

physics.gen-ph↗

Strings and missing wormhole entanglement

I show that holographic calculations of entanglement entropy in the context of AdS bulk space modified by wormhole geometries provide the expected entanglement magnitude. This arises in the context of string theory by means of additional geometric structure that is seen by the string in its bulk evolution. The process can be described as a net entanglement flow towards stringy geometry. I make use of the fact that as opposed to quantum field theory, strings have additional winding mode states around small extra dimensions which modify the area computation given by the standard application of the Ryu-Takayanagi entanglement entropy formula.

hep-th↗

Ancilla mediated higher entanglement as T-duality, a categorial conjecture

Using a higher categorial interpretation of entanglement involving gauge theories and $σ$-models instead of qubits, one recovers T-duality as a form of ancilla aided entanglement generation. This opens the way towards new dualities in gauge theories and $σ$-models produced by means of analogies with quantum circuits of various types.

physics.gen-ph↗

Qubit stabilisation via learning capable materials

I describe the engineered decoherence of a qubit state by means of an environment formed out of a neurally architected material. Such a material is a material that can adjust its inner properties in the same way a neural network is adjusting its weights, subject to a built-in cost function. Such a material is naturally found in biological structures (like a brain) but can in principle be engineered at a microscopic level. If such a material is used as an environment for a Nakajima-Zwanzig equation describing the controlled decoherence of a quantum state, we obtain a modified decoherence that allows for correlated states to exist longer or even to become robust. Such a neural material can also be architected to implement certain quantum gate operations on the encapsulated qubit.

physics.gen-ph↗

Cosmological constant as quantum error correction from generalised gauge invariance in double field theory

The holographic principle and its realisation as the AdS/CFT correspondence leads to the existence of the so called precursor operators. These are boundary operators that carry non-local information regarding events occurring deep inside the bulk and which cannot be causally connected to the boundary. Such non-local operators can distinguish non-vacuum-like excitations within the bulk that cannot be observed by any local gauge invariant operators in the boundary. The boundary precursors are expected to become increasingly non-local the further the bulk process is from the boundary. Such phenomena are expected to be related to the extended nature of the strings. Standard gauge invariance in the boundary theory equates to quantum error correction which furthermore establishes localisation of bulk information. I show that when double field theory quantum error correction prescriptions are considered in the bulk, gauge invariance in the boundary manifests residual effects associated to stringy winding modes. Also, an effect of double field theory quantum error correction is the appearance of positive cosmological constant. The emergence of spacetime from the entanglement structure of a dual quantum field theory appears in this context to generalise for de-Sitter spacetimes as well.

hep-th↗

On the Renormalisation group, protein folding, and naturalness

I am showing how the ideas behind the renormalisation group can be generalised in order to produce the desired reduction in the degrees of freedom other that the ones considered up to now. Instead of looking only at the renormalisation group flow, inspiration from optimisation tools for regulators of truncated theories is used to show that there exists another mathematical structure in the morphisms between various renormalisation groups, characterised by their operations, encoded by means of various regularisation functions. This expands the idea of renormalisation group to a renormalisation category. A group structure exists at the level of those morphisms, leading to new information emerging in the flowing process. Impact on problems like the naturalness and protein folding is being presented briefly.

hep-th↗

Anomaly cancellation by generalised cohomology

Supersymmetric states in M-theory are mapped after compactification to perturbatively non-supersymmetric states in type IIA string theory, with the supersymmetric parts being encoded in the non-perturbative section of the string theory. An observer unable to recognise certain topological features of string theory will not detect supersymmetry. Such relativity of symmetry can also be derived in the context of Theorem 3 in ref. [11]. The tool of choice in this context is the universal coefficient theorem linking cohomology theories with coefficients that reveal respectively hide certain topological features. As a consequence of these observations, it is shown that the same theorem is capable of linking perturbative with non-perturbative string theoretical domains. A discussion of inflow anomaly cancellation is also included in the context of universal coefficient theorems.

hep-th↗

Entanglement as a resource for naturalness

A novel approach to understanding the hierarchy problem is presented making use of topological aspects of the renormalisation group and the ER-EPR interpretation of entanglement. A common discussion of the renormalisation group, the black hole horizon and the expected entanglement between outgoing Hawking radiation and the interior, the cosmic censorship mechanism and the cosmological constant problem is envisaged.

physics.gen-ph↗

Coordinated inference, Holographic neural networks, and quantum error correction

Coordinated inference problems are being introduced as a basis for a neural network representation of the locality problem in the holographic bulk. It is argued that a type of problem originating in the "prisoners and hats" dilemma involves certain non-local structures to be found in the AdS/CFT duality. The neural network solution to this problem introduces a new approach that can be flexible enough to identify holographic dualities beyond AdS/CFT. Neural networks are shown to have a significant role in the connection between the bulk and the boundary, being capable of inferring sufficient information capable of explaining the pre-arrangement of observables in the bulk that would lead to non-local precursor operators in the boundary.

physics.gen-ph↗

Spacetime vacuum as a correlated quantum channel, dual to gravitational memory

In this note I will argue that the spacetime vacuum of any gauge theory plays the role of a correlated quantum channel and that the concept of a correlated quantum channel is dual to gravitational memory. The existence of memory in the case of other gauge theories is discussed and a similar duality is identified suggesting that the vacuum of any theory could play such a role. This can play a role in the resolution of the black hole information paradox.

hep-th↗

Holographic quantum information and (de)confinement

Analysing the phenomenon of deconfinement from a holographic point of view, it appears that the brane configuration in the bulk, corresponding to the confinement phase imposes a restriction on the strength of the holographic quantum error correction procedure. This restriction is partially removed when the transition to a deconfined phase occurs. The brane configurations corresponding to the bulk instantons are analysed and it is shown that they cannot reach the region of the bulk that would ensure maximal error protection in the confinement phase, while keeping non-zero instanton size. In the deconfinement phase on the other side, we have a configuration that allows a higher degree of quantum error protection, still preventing the maximal protection allowed by the holographic principle. This suggests that the strength of quantum error correction codes in QCD systems is fundamentally limited both in confinement and deconfinement phases.

hep-th↗

Gauge is quantum?

An interesting phenomenon is happening in the construction of the Madelung equations from the Schrodinger equation. It seems like the Madelung equations require a rotational invariance symmetry to properly account for quantum vortices, and that Madelung equations are not fully determining the dynamics. The relation between Schrodinger's equations and Madelung equations are often debated with the observation that no clear understanding exists for why the additional rotational discretisation condition is required. Here I explain it as an additional gauge symmetry that speaks in favour of the recent idea that quantum is gauge (Q=G). Indeed, this additional symmetry seems to emerge as a gauge symmetry condition that needs to be incorporated in the Madelung equations in order to properly describe quantum mechanics. In that sense "Madelung Equation + Gauge symmetry = Quantum mechanics". Arguments in favour of understanding the quantum phase as a gauge symmetry component of the solution of Schrodinger's equations are also introduced.

physics.gen-ph↗

Grothendieck's point of view and complexity in the black hole paradox

These are some speculations on how Grothendieck's point of view and the idea of complexity dynamics can come together in the problem of explaining the black hole information paradox. They are neither complete, nor final, but can seem like a new direction of research. If read as such they could prove useful to some researchers. The basic idea is that entanglement alone cannot fully account for the information extraction in black hole contexts. Complexity has been proposed as an alternative but remains a vague concept. I employ Grothendieck's point of view to expand the idea of entanglement entropy to a categorical context in which the objects (states) and their maps are considered together and the map space has additional topological and geometric structure that intermingles with the object set of the category via Sieves, Sheafs, and Toposes.

hep-th↗

Is there truly classical information?

All entropy is entanglement entropy. This appears as the result of the existence of black holes. The origin of entropy and the way in which it defines the perceived time direction in macroscopic systems has been discussed and can be debated as long as one ignores black holes. In such a case, thermodynamic entropy may define the arrow of time and entanglement entropy defines some special globally defined entropy encoding information in a non-local sense. With black holes however, if we accept that in-falling objects must have their information encoded outside, for example through non-local fluctuations away from thermalisation of the Hawking radiation, and that the horizon of a black hole cuts all classical information from the outside, then all the entropy that can be added to the black hole, which is basically any form of entropy, must be translated into some form of entanglement entropy to be detected outside. A discussion about the nature of information channels shows that spacetime may not be a correlation-insensitive channel as usually employed in the engineering of quantum computing. Time may emerge as a property of the complexity of entanglement spreading.

physics.gen-ph↗

Are classical neural networks quantum?

Neural networks are being used to improve the probing of the state spaces of many particle systems as approximations to wavefunctions and in order to avoid the recurring sign problem of quantum monte-carlo. One may ask whether the usual classical neural networks have some actual hidden quantum properties that make them such suitable tools for a highly coupled quantum problem. I discuss here what makes a system quantum and to what extent we can interpret a neural network as having quantum remnants.

cs.LG↗