Cosmos & Consciousness: Parallel Research Map

2026 ArXiv Papers Paralleling Cosmos & Consciousnesses

Foundational Three Papers:

Preprint: Spectral Realization: A Constructive Traversal of the Differential Cohomology Hexagon

https://doi.org/10.5281/zenodo.20749219

  • Alberto S. Cattaneo, Pavel Mnev (2026)BV pushforward as a quasi-isomorphismhttps://doi.org/10.48550/arXiv.2605.30558

    • Foundational citation of Spectral Realization papers

  • Alberto S. Cattaneo, Shuhan Jiang (2026) From  algebroids to  spaces: Part I https://doi.org/10.48550/arXiv.2606.24837

    • Transitive L_infinity algebroids are categorically equivalent to L_infinity spaces over dg manifolds, supporting Linearization and Synthesis.

  • Weizhen Jia, Yi-Nan Wang, Yi Zhang (2026) On Quantum Aspects of 1-Form Symmetries I BVBRST Cohomology and Anomaly Polynomials https://doi.org/10.48550/arXiv.2606.05656

    • Foundational citation of Spectral Realization papers

  • Satoshi Kanno, Rei Nishimura, Hiroshi Yamauchi, Yoshi-aki Shimada (2026) Gauge Geometry of Hodge Zero Mode Transport in Parameter Dependent Topological Data Analysishttps://doi.org/10.48550/arXiv.2605.28326 

    • Computational analogue to Spectral Realization, specifically the use of the Hode Laplacian

  • Jimmie Adriazola, Gino Biondini, Wei Zhu, Panayotis G. Kevrekidis (2026) Learning Lax Pairs: Revisiting the Classical Paradigmhttps://doi.org/10.48550/arXiv.2607.01493

    • Lax functor of Spectral Realization as Manakov spectral completion; spectra must be independently verified, extracted, and computed (from equations of motion).

  • Lea E. Bottini, Clement Delcamp, Edmund Heng, Campbell K. McLauchlan, Dominic J. Williamson (2026) Topological lattice gauge theory enriched by non-invertible symmetryhttps://doi.org/10.48550/arXiv.2605.28688

    • Lattice approach to Spectral Realization’s Analysis

  • Felbacq Rousseau (2026) Topology of Bloch Bands from Cauchy Datahttps://doi.org/10.48550/arXiv.2606.19141

    • A 1D periodic material example of Spectral Realization

  • Oggad(2026) A Classifying Topos For The Spectrum Of Equivalences https://doi.org/10.48550/arXiv.2603.01056

    • The application of topos-theoretic localizations generates a complete, hierarchical spectrum of what can be known about a system

  • Georg Struth, Krzysztof Ziemiański (2026) Presheaf Automata https://doi.org/10.1016/j.apal.2025.103660

    • Math supporting HDAs and Presheaf Automata

  • Hiroshi Yamauchi, Satoshi Kanno, Yuki Sato, Hiroyuki Tezuka, Yoshi-aki Shimada, Eriko Kaminishi, Naoki Yamamoto(2026)Hodge Spectral Surrogates for Topology Constrained Optimizationhttps://doi.org/10.48550/arXiv.2511.23169

    • Spectral Realization resolves topological structures by  computing a quantum eigenvalue spectrum, per modern superconducting qubits

  • Vinícius Bernardes, Theodore Erler, Atakan Hilmi Fırat (2026) Conserved charges and L_infinty  algebrashttps://doi.org/10.48550/arXiv.2606.26224

    • Support that my Regulator map successfully acts as a temporal sigmoid, extracting a conserved, gauge-invariant charge from that on-shell $L_\infty$ space to resolve the causal step.

  • Pavol Ševera (2026)Forms, half-densities, and the quantum odd symplectic category in the BV formalismhttps://doi.org/10.48550/arXiv.2606.23902

    • Provides the integration-kernel equivalent of Analysis.

  • Branislav Jurčo, Ján Pulmann, Martin Zika (2026) Homotopies in Batalin-Vilkovisky Formalismhttps://doi.org/10.48550/arXiv.2606.30965

    • Supports the flat projection of Analysis .

  • Zhi-Wei Wang, Samuel L. Braunstein (2026)Framework for the Anomalous Hall Effect and Non-Linear Berry Dipolehttps://doi.org/10.48550/arXiv.2606.31409

    • Supports Hoge Theory’s use in Synthesis.

Preprint: Causal Factorization Algebras and the BV Pushforward: Deriving the L_infinity Quasi-Isomorphism from Cohesive Topology

https://doi.org/10.5281/zenodo.20749212

  • Xavier Blot, Danilo Lewański, Sergey Shadrin (2026) Beyond descendants: integrable observables for cohomological field theories https://doi.org/10.48550/arXiv.2605.22236

    • Spectral Realization’s infinite regulator chaining generates the full BV-BRST interacting field theory, and then evaluates that theory globally over a moduli space

Preprint: Directed Causality, Bidirectional Stability, and the Type Theory of Causal Topological Quantum Field Theories (CTQFTs)

https://doi.org/10.5281/zenodo.20749161

  • Giovanni Ferrer, Lukas Müller, David Penneys, Luuk Stehouwer(2026)The many faces of higher Hilbert spaces https://doi.org/10.48550/arXiv.2606.11334

    • Spectral Realization as a computational approach to their daggers and inner products

  • Steve Awodey, Evan Cavallo, Thierry Coquand, Emily Riehl, Christian Sattler (2026) The equivariant model structure on cartesian cubical sets 10.1016/j.aim.2026.110965

    • Foundational maths, showing the underlying constructive type theory  is stable and classically equivalent to standard homotopy theory.

  • Evan Cavallo, Christian Sattler (2026) Eliminating reversals from cubical type theorieshttps://doi.org/10.48550/arXiv.2605.15080

    • Proved within the Cubical Type Theory that replacing 1D reversals with a 2D "Twist Construction" necessary to preserve the infinity-groupoid structure of the universe.

Full Theory

Manuscript: Cosmos & Consciousness ‍

https://doi.org/10.5281/zenodo.20327471

  • Color and the Strong Force (Section 5.4)

  • Spacetime (Section 5.1)

    • Vyshnav Mohan, Larus Thorlacius (2026)Spacetime from Operator Algebrashttps://doi.org/10.48550/arXiv.2606.10924

      • Their spacetime emergence from algebras is given a categorical origin for why those algebras exist and behave the way they do

  • Gravity (Chapter 6)

    • Capolupo Antonio, Monda Simone, Pisacane Gabriele, Quaranta Aniello, Serao Raoul (2026) Spacetime torsion signatures in neutrino oscillation physicshttps://doi.org/10.48550/arXiv.2606.00617 ,  https://doi.org/10.1142/S0217751X26460139

      • Demonstrates analytically that introducing spacetime torsion naturally creates a spin-dependent energy splitting, profoundly altering the oscillation amplitudes of neutrinos based on chiral spin states.

    • Roh-Suan Tung (2026)Spacetime torsion fixes the mass and spin of gravitationally produced dark matter https://doi.org/10.48550/arXiv.2606.23418

      • Provides the exact Lagrangian proof that spacetime torsion alone geometrically supplies pure Dirac mass to a spin-1/2 fermion, locking it precisely to the Hubble expansion rate without a free mass parameter.

    • NOTE: Remark 6.4.2 ends the chapter by identifying the neutrino mass as the dark matter component (without Higgs), revealing the 2 papers are discussing the same phenomenon

  • Connecting Gravity (Chapter 6) and Cosmology (Chapter 7)

    • Takeshi Fukuyama (2026)Gauge Theory of Gravity and the AdS/CFT Correspondencehttps://doi.org/10.48550/arXiv.2606.00929

      • Gravity treated as an emergent gauge theory works in 4D, with cosmological factors influencing gravity, per Cosmos & Consciousness Section 6.3 

  • Cosmology (Chapter 7)

    • Jorge Meza-Domínguez, Tonatiuh Matos(2026) A Covariant Chiral-Hydrodynamic Formulation of the Dirac Equation in Curved Spacetimehttps://doi.org/10.48550/arXiv.2605.28887

      • Their null-vector fluid dynamics is mapped here to Einstein-Cartan contorsion, reframing the Dirac fluid as the metric deformations produced by fermion interactions.

    • Chatterjee (2026)A Lorentzian construction of timelike Liouville field theory on the cylinderhttps://doi.org/10.48550/arXiv.2605.29203

      • Timelike Liouville field theory for positive curvature two-dimensional quantum gravity is extended to our full cosmology per Cosmos & Consciousness Definition 7.4.1 

    • Damir Sadekov (2026)Solutions in Liouville theory on dS and AdS backgroundshttps://doi.org/10.48550/arXiv.2606.17025

      • Solves interacting fields on curved spacetimes by slicing the $D$-dimensional space with a null vector, producing 1D analytic causal chains that anchor at the boundary and propagate without scattering.

    • Teodora M. Matei, Cristian Croitoru, Tiberiu Harko (2026)Constraining Early Dark Energy cosmological models with Big Bang Nucleosynthesis‍ ‍https://doi.org/10.48550/arXiv.2605.26749 , https://doi.org/10.1016/j.dark.2026.102362

      •  Dark energy caused inflation from interaction density by temperature proxy

    • Joseph Dominicus Lap, Jad C. Halimeh, David Horn, Lukas Ebner, Clemens Seidl, Berndt Müller, Andreas Schäfer, Jakob Minar (2026)Dynamical Entanglement Phase Transitions in Holographic CFTshttps://doi.org/10.48550/arXiv.2605.28939

      • Holographic time evolution breaks down into discrete, symmetry-governed phases determined by bulk geometry; the quantum entanglement equivalent of the Cosmology presented here

    • Lorenzo Gavassino, Sukanya Mitra, Rajeev Singh (2026) Hydrodynamics without a relaxation gap: memory effects, nonlocality, and superdiffusion https://doi.org/10.48550/arXiv.2606.01805

      • Demonstrates that gapless continuous hydrodynamics mathematically breaks down into superdiffusion and non-locality, proving a discrete topological gap/cutoff is required for stability, per per Cosmos & Consciousness Definition 7.4.1 

    • Yizhou Ma, Gen Yue, Tian Lan (2026)Bulk-boundary correspondence of (1+1)D symmetric gapped phases https://doi.org/10.48550/arXiv.2606.19137

      • Operator-algebraic proof for the holographic architecture, validating that to properly model bulk-boundary correspondence, one must discard continuous manifolds in favor of discrete, 1-dimensional causal chains (fusion spin chains) governed by local, discrete Hamiltonians

    • Aarav Shah, Paulo Moniz, Oem Trivedi, Meet J. Vyas (2026)Non-Markovian Memory-Induced Effects in Quantum Cosmologyhttps://doi.org/10.48550/arXiv.2606.13716

      • Memory effects in cosmology

    • Júlio C. Fabris, Alexander Yu. Kamenshchik (2026)Generalized Unimodular Gravity and Cosmological Perturbationshttps://doi.org/10.48550/arXiv.2606.16378

      • Shows that replacing the super-Hamiltonian constraint by defining the lapse function relative to the spatial metric naturally generates effective "dust" (Dark Matter) and "vacuum energy" (Dark Energy).

    • Christopher Alexander, Blake Temple, Zeke Vogler (2026) The Instability of the Critical Friedmann Spacetime at the Big Bang as an Alternative to Dark Energy https://doi.org/10.48550/arXiv.2510.14228

      • Provides the classical General Relativistic proof that the standard Friedmann spacetime is an unstable saddle rest point, organically producing accelerated expansion without a cosmological constant.; the universe accelerates because the initial state of the cosmos was inherently unstable, and the metric is continuously adjusting to resolve that geometric discrepancy

    • Kostas Tzanavaris (2026)Perfect fluids revisited: an action principle approachhttps://doi.org/10.48550/arXiv.2606.17084

      • Proves that extending fluid actions to null flows dynamically forces the enthalpy density to vanish ($\rho + P = 0$), generating the equation of state for Holographic Dark Energy

    • Ji-Seong Chae (2026)Dark-Sector Deformations of Holographic Anisotropic Superfluids in Asymptotically Hyperscaling Violation Geometry https://doi.org/10.48550/arXiv.2606.24328

      • The bulk volume acts as a memory register. Dark matter is not particulate, but the cumulative history of geometric shears.

    • H. T. Özer, Aytül Filiz (2026) Jackiw-Teitelboim Gravity from Holonomies: Discrete BF Formulation and Boundary Symmetries https://doi.org/10.48550/arXiv.2602.14079

      • In a discrete topological lattice, the bulk possesses zero local degrees of freedom. All continuous physical symmetries emerge from the boundary holonomies, while the Carrollian limit models a frozen causal horizon.

    • Pietro Pellecchia, Alejandro Perez, Salvatore Ribisi (2026) Dark energy genesis: modeling dissipative effects in primordial cosmology https://doi.org/10.48550/arXiv.2607.03272

      • Memory in Dark Energy

    • Keunsu Cheon, Sin Kyu Kang, Jungjai Lee (2026)Majoron Dark Energy via Freezing Induced by Quantum Coherencettps://doi.org/10.48550/arXiv.2607.03070

      • Provides mechanism (Non-Markovian Reservoir) for Time related curvature artifacts.

    • N. Amiriborkhani, Alireza Amani, M. A. Ramzanpour (2026) Interacting Holographic Dark Energy in f(Q) Gravity: Cosmological Evolution and Gravitational Wave Signatureshttps://doi.org/10.48550/arXiv.2607.02792

      • Geometrically motivated HDE explains observations of dynamic expansion.

    • Gia Dvali, Michael Zantedeschi, Sebastian Zell (2026) Black Hole Memory Burden and its Signatures in Gravitational Waves from Mergers https://doi.org/10.48550/arXiv.2607.03560

      • Black holes with “buffered” information

    • Alessio MaiezzaAlessio Maiezza (2026) Minimal Proper Time and Deterministic Microstates: Emergent Quantum Fields and Relativistic Spacetimehttps://doi.org/10.48550/arXiv.2607.03605

      • Supports “smoothness” of Digital Renormalization

    • Ovidiu Cristinel Stoica (2026)Emergent cosmology and gravity from quantum time?https://doi.org/10.48550/arXiv.2607.05020

      • Supports viability of Digital Renormalization