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[6] ai.viXra.org:2607.0062 [pdf] submitted on 2026-07-24 11:56:06
Authors: R. Minamoto
Comments: 4 Pages.
We establish a rigorous, non-equilibrium thermodynamic framework governing the dynamic reconstruction of bulk spacetime geometry from boundary quantum states within the AdS/CFT correspondence. Adopting a phenomenological toy-model approach, we bypass the microscopic ultraviolet (UV) complications to extract universal constraints on holographic processing. Utilizing the Complexity=Action (CA) conjecture, we model the temporal evolution of emergent bulk geometry as a manifestation of unitary quantum gates. By extending the generalized Landauer principle to the quantum regime, we derive the unavoidable entropy production rate ($dot{S}_{text{gen}}$) triggered by irreversible state transitions at the boundary. Incorporating this dissipative channel into the extended first law of black hole thermodynamics, we compute the explicit gravitational backreaction on the bulk geometry using a 3D BTZ black hole background. We prove that a holographic quantum rendering efficiency ($eta_{text{hq}}$) naturally emerges and vanishes as the computational rate saturates the fundamental Lloyd's bound. This dynamic constraint establishes an absolute upper bound on the Hawking temperature ($T_{text{H}}$), forcing a finite-time geometric divergence at $t_{text{crash}}$. Rather than a mere destruction of information, we show that this critical threshold triggers a topological phase transition, serving as a non-local birth mechanism for parallel spacetime domains within a holographic multiverse.
Category: Quantum Gravity and String Theory
[5] ai.viXra.org:2607.0060 [pdf] submitted on 2026-07-25 07:45:13
Authors: Bing Zhang
Comments: 11 pages, 2 figures, 29 references. AI-assisted research
The graviton is a hypothetical particle of modern physics that has yet to be directly detected.Mainstream theories (string theory, loop quantum gravity) assume the graviton is a fundamentalparticle. This paper proposes an alternative hypothesis based on complex adaptive system (CAS)emergence theory: the graviton is not a fundamental particle, but rather an emergent phenomenonarising from the collective quadrupole excitations of nucleons (and deeper quark—gluon degrees offreedom) within atomic nuclei in the long-wavelength limit—analogous to phonons being quantizedlattice vibrations.We establish a three-scale theoretical framework (quark—nucleon—nucleus) and verify the mathematical structure of the conjecture through numerical simulations in simplified 3D lattice models:nucleon collective quadrupole oscillations naturally possess spin-2 character, and their mass tends toward zero in the long-wavelength limit. This conjecture bridges the "scale gap" between Sakharov’sinduced gravity (1967) and Verlinde’s entropic gravity (2011)—providing a concrete microscopicmechanism for emergent gravity.We present three independent numerical approaches (static Hessian diagonalization, QCD-inspiredbag model, and molecular dynamics time evolution) that converge on the existence of intrinsic lowenergy spin-2 collective excitations in nuclear matter with ω ∼ 0.6—2.0 MeV. We discuss the relationship with the fractional quantum Hall (FQH) emergent graviton, the Weinberg—Witten theoremand four pathways around it, and propose three experimentally testable predictions accessible withcurrent nuclear physics facilities.
Category: Quantum Gravity and String Theory
[4] ai.viXra.org:2607.0056 [pdf] submitted on 2026-07-22 10:12:44
Authors: Brent Hartshorn
Comments: 25 Pages.
Dorau and Much (2026) [1] have shown, using Tomita—Takesaki modular theory, that the Araki—Uhlmann relative entropy between the vacuum and a coherent excitation of a scalar field on a local Rindler horizon equals the boost-energy flux across the horizon, and that the semi-classical Einstein equations follow once this relative entropy is identified with one quarter of the horizon area variation. Two limitations remain: the Rindler bifurcation surface has infinite area, so only area variations are meaningful, and the derivation leaves open what the Bekenstein—Hawking normalization S rel = δA/4 is counting. We address both by transplanting the construction from the local Rindler wedge to the Nariai spacetime dS2 × S 2 , the degenerate limit of Schwarzschild—de Sitter in which the black-hole and cosmological horizons coincide.Nariai possesses a global bifurcate Killing horizon with a compact bifurcation surface of area A = 4π/Λ, so every quantity in the derivation — the horizon two-point function, the modular flow, the relative entropy, and the total area — is finite. We compute the relative entropy for coherent excitations on the Nariai horizon — exhibiting the modular Hamiltonian explicitly, factorizing the transverse sphere out of the Araki—Uhlmann formula mode by mode, and evaluating the entropy in closed form for an explicit family of s-wave excitations — and verify that the identification S rel = δA/4 reproduces the Einstein coupling α = 8π with no infinite-area subtraction. The linear-response model through which the area variation enters — the one postulate of the flat-space derivation — is here derived rather than assumed: the s-wave back-reaction of the throat is exactly linearized de Sitter Jackiw—Teitelboim gravity, whose dilaton equation admits the response model as its unique zero-mode-free solution, with the coupling 8π fixed by the dimensional reduction.Because the Nariai background is itself unstable to vacuum polarization, we quantify the domain of validity of the equilibrium construction: the Ginsparg—Perry/Bousso—Hawking instability evolves at a rate suppressed relative to the modular frequency by the inverse horizon entropy, Γ/κ ∼ 1/SN , so the Kubo—Martin—Schwinger structure holds as a quasi-equilibrium over ∼ SN thermal times — self-consistent at precisely the order at which the semiclassical Einstein equations are derived.
Category: Quantum Gravity and String Theory
[3] ai.viXra.org:2607.0040 [pdf] submitted on 2026-07-14 15:00:47
Authors: Pruk Ninsook
Comments: 62 Pages.
We show that the massless graviton equation ◻h_μν = 0, with exactly two physical polarisations, follows from two independent inputs: the non-commutativity [K̂_A, K̂_B] ≠ 0 of modular Hamiltonians of overlapping causal diamonds in a holographic CFT3, and the Ouroboros global consistency condition on kinematic data. No gravitational action is postulated.The derivation proceeds on the 6-dimensional kinematic space M_diamond = SO(3,2) / [SO(2,1) × SO(1,1)] of all causal diamonds in the 2+1-dimensional boundary. The modular non-commutativity is established by an exact Poisson bracket formula {k_A, k_B} = (4 / |a_A||a_B|) η^μν (x - c_A)_μ (x - c_B)_ν, valid for all diamonds (spherical and tilted), verified symbolically and numerically. Ouroboros global consistency is shown to be equivalent to John's integrability, placing kinematic data in the image of the spin-2 Radon transform R_2[h]. The Czech--John equivalence, extended to spin-2 by a new polarisation lemma, then gives (◻_KS - 2)F_ab = 0. Uniqueness of the solution follows from the D(3,2) doubleton representation of SO(3,2) (unitarity bound E_0 = s + 1 = 3, Casimir C_2 = 6) and the KMS boundary condition F(D_0) = δS(D_0) / 2π.Beyond the main theorem, three new results are established: (i) the exact bracket formula above, new to the kinematic-space literature; (ii) a polarisation lemma reducing spin-2 John's conditions to the scalar case algebraically; (iii) a no-go theorem showing that photon dynamics cannot arise from the same mechanism (C_2(D(2,1)) = 0 ≠ 6). A falsifiable prediction for TT-bar-deformed holography gives bulk graviton mass m² = ε(3 + ε) ≈ 3ε under E_0 → 3 + ε, connecting graviton mass directly to the Casimir eigenvalue of D(E_0, 2).
Category: Quantum Gravity and String Theory
[2] ai.viXra.org:2607.0036 [pdf] submitted on 2026-07-13 15:09:17
Authors: Ginanjar Utama
Comments: 12 Pages.
Several inequivalent data at a Lorentzian spin-foam vertex are commonly called "orientation."We separate face coorientation, tetrahedral handedness, time orientation of a tetrahedral normal, four-simplex branch, causal wedge data, and global time orientability, and classify proposed reversals by the carrier and category in which they act. Inversion of an integrated SL(2,C) variable is only a Haar-measure reparametrization. By contrast, an SU(2) coherent-state spinor is a square root of its face flux: the standard antilinear spinor conjugation sends the flux to its antipode. On a spacelike quantum tetrahedron the tensor product of these antiunitaries fixes every area, reverses the oriented-volume operator, and squares to +1 on every admissible intertwiner space; hence nonzero-volume eigenstates are paired orthogonally, but no Kramers degeneracy follows. For a timelike tetrahedron, the intrinsic algebra is Cl(1, 2). The sign of a face bivector square gives the elliptic—parabolic—hyperbolic orbit trichotomy. The two sheets associated with a spacelike face carry the discrete series D±k of connected SU(1, 1): there is no bounded linear intertwiner and no continuous invariant sesquilinear pairing between them, although a unique bounded invariant bilinear pairing and antiunitary or disconnected twisted exchanges exist. Finally, in every intrinsic odd-dimensional Clifford space, total inversion is the twisted-adjoint action of the odd pseudoscalar and cannot be implemented by an even intrinsic versor. Orientation protection is therefore relative to a specified carrier, symmetry group, and morphism category; a conservation law requires an explicit multi-vertex gluing rule.
Category: Quantum Gravity and String Theory
[1] ai.viXra.org:2607.0021 [pdf] replaced on 2026-07-14 20:04:41
Authors: Jason Merwin
Comments: 20 Pages. A GitHub repository link is provided
We demonstrate that gravitational and quantum dynamics can be unified as emergent consequences of strictly bounded computational bandwidth within a discrete generative spacetime (the Discrete Emergent Universe). In this framework, the fundamental phenomena of physics arise from scheduler load: persistent topological defects impose chronic bandwidth demand (analogous to gravitational mass), while acute logical conflicts trigger saturation-limited resolution events (analogous to quantum state collapse). Through pre-registered experiments on a growing triangulated foam, we derive a unified two-queue ledger law---governing forced backlog and standing vacuum demand---that dictates this load response with zero fitted parameters. This single internal law accurately brackets the chronic starvation collapse threshold (a gravitational-regime constant of x50 = 1.30 and completely reproduces acute Zeno-pattern suppression in temporally structured loads. While the central claim is a model-internal unification of these two operating regimes, we provide external bridge diagnostics---including a CMB amplitude basin, preliminary GW150914 ringdown-compression signatures, and formal equivalence to standard quantum and relativistic clock laws---as falsifiable targets for physical equivalence.
Category: Quantum Gravity and String Theory