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arxiv: 2605.11046 · v1 · submitted 2026-05-11 · ✦ hep-th · cond-mat.other· gr-qc

Recognition: 2 theorem links

· Lean Theorem

On the dilaton gravity of analogue black holes

Paolo Castorina , Alfredo Iorio , Jakub Kris , Mohaddese Shams Nejati
Authors on Pith no claims yet

Pith reviewed 2026-05-13 00:54 UTC · model grok-4.3

classification ✦ hep-th cond-mat.othergr-qc
keywords analogue black holesdilaton gravityHawking temperaturesuperconducting quantum circuitstwo-dimensional gravitystate dependenceentropy dynamics
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The pith

Typical analogue black holes in superconducting circuits do not correspond to known dilaton gravity models.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines which dilaton gravity models can reproduce common two-dimensional analogue black holes created in platforms such as superconducting quantum circuits. It identifies the assumptions these models require and shows that the given analogue setups fail to match any known dilaton models, particularly when the Hawking temperature is state-independent. In those cases the kinematics of temperature decouples from the dynamics of entropy. The authors conclude that this mismatch limits the analogues' value for theoretical insight. The logic is reversed to derive the laboratory conditions needed to realize specific dilaton models instead.

Core claim

When the analogue black hole exhibits state-independent temperature, as in the cases considered here, the kinematics governing T decouples from the dynamics underlying S. Numerical analysis reveals that the given analogue black holes do not correspond to known dilaton gravity models, limiting their usefulness for extracting theoretical insights. The logic can be easily reversed: starting from established well known dilaton models, one can derive the conditions that laboratory implementations must satisfy.

What carries the argument

The state-dependence of Hawking temperature T, which can be switched on or off in dilaton models, and the resulting decoupling from entropy dynamics S in state-independent cases.

If this is right

  • State-independent Hawking temperature in these analogues separates temperature kinematics from entropy dynamics.
  • Current laboratory analogue black holes cannot be directly mapped onto known dilaton gravity solutions.
  • Theoretical insights from dilaton gravity cannot be extracted from the analogue realizations examined here.
  • Laboratory platforms must satisfy explicit conditions derived from chosen dilaton models to become useful simulators.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The reversal strategy could be tested on analogue black holes realized in other systems such as fluid flows or optical lattices.
  • Successful matching would let experiments probe thermodynamic relations that are unique to dilaton gravity but absent in four-dimensional black holes.
  • The approach suggests prioritizing model-specific parameter tuning over generic analogue setups in future work.

Load-bearing premise

That the typical two-dimensional analogue black holes realized in superconducting quantum circuits satisfy the assumptions required by dilaton gravity models and allow the state dependence of temperature to be cleanly controlled.

What would settle it

An explicit numerical or analytical match between one of the considered analogue black hole metrics and the geometry plus dilaton field of a standard model such as Jackiw-Teitelboim gravity would falsify the reported mismatch.

Figures

Figures reproduced from arXiv: 2605.11046 by Alfredo Iorio, Jakub Kris, Mohaddese Shams Nejati, Paolo Castorina.

Figure 1
Figure 1. Figure 1: Perturbative solution for ϵ(X˜) with α = 1. Blue: 42 Taylor coefficients. Orange: 20 Taylor coefficients. Green: 10 Taylor coefficients. In the asymptotic region it is a bit more convenient to use y y ′′ = y ′ 2X˜ 1 y − 1  . (68) Since asymptotically we get y → 0 + and X˜ → X˜ asy we expand (68) y ′′ = y ′ 2X˜ asy y [PITH_FULL_IMAGE:figures/full_fig_p021_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Plots of ϵ between asymptotic region and horizon. Orange: asymptotic solution, blue: near horizon Taylor expansion with 42 coefficients. • By construction, the asymptotic value is ϵ(X˜ asy) = 1. • The first derivative has a log-branch cut, ϵ ′ ∝ ln X˜ − X˜ asy + . . . with finite prefactor. • The second derivative has a first-order pole, ϵ ′′ ∝ 1/(X˜ − X˜ asy) + . . . with finite residue. This behavior s… view at source ↗
read the original abstract

We investigate which dilaton gravity models can reproduce the typical two dimensional analogue black holes realized in platforms such as superconducting quantum circuits. We identify the most reasonable assumptions these models must satisfy, and determine the dilaton models for which the state-dependence of the Hawking temperature, T, can be switched on and off, a feature that is absent in four dimensional black holes. When the analogue black hole exhibits state-independent temperature, as in the cases considered here, the kinematics governing T decouples from the dynamics underlying S. Our numerical analysis reveals that the given analogue black holes do not correspond to known dilaton gravity models, limiting their usefulness for extracting theoretical insights. We then show that the logic can be easily reversed: starting from established well known dilaton models, one can derive the conditions that laboratory implementations must satisfy. This shifts the challenge from the theoretical perspective to the experimental realization.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper investigates the correspondence between typical two-dimensional analogue black holes realized in platforms such as superconducting quantum circuits and dilaton gravity models. It identifies reasonable assumptions these models must satisfy, determines conditions under which the state-dependence of the Hawking temperature T can be switched on or off, and reports a numerical analysis concluding that the analogue black holes do not match known dilaton models. The logic is then reversed to derive laboratory conditions from established dilaton models.

Significance. If the numerical comparison is made fully reproducible with explicit model selection, observables, and matching criteria, the work could clarify the limitations of analogue systems for probing dilaton gravity and provide a practical framework for designing experiments from theoretical models. The observation that state-independent T decouples kinematics from dynamics in these setups is a useful distinction from four-dimensional black holes.

major comments (2)
  1. [Numerical analysis] Numerical analysis section: The central claim that 'the given analogue black holes do not correspond to known dilaton gravity models' rests on an unspecified numerical procedure. The manuscript does not list the set of dilaton models tested, the functional forms or parameter ranges employed, the observables compared (e.g., dilaton potential V(φ), T as function of state, entropy S), or the quantitative distance metric used. Without these details the negative result cannot be reproduced or falsified, undermining the subsequent reversal argument.
  2. [Assumptions for dilaton models] Section on assumptions: The paper states it identifies 'the most reasonable assumptions' for the dilaton models but does not provide an explicit justification or reference to prior literature establishing why these assumptions (particularly state-independence of temperature) are the appropriate ones for superconducting-circuit realizations. This choice directly affects which models are deemed to 'correspond' or not.
minor comments (2)
  1. [Abstract] The abstract and introduction would benefit from a brief statement of the specific observables or thermodynamic relations used in the comparison, even at a high level, to orient the reader before the numerical section.
  2. [Introduction] Notation for the dilaton potential and temperature functions should be introduced consistently when first used, with clear distinction between state-dependent and state-independent cases.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comments, which have helped us identify areas where additional clarity is needed. We address each major comment below and will revise the manuscript accordingly to improve reproducibility and justification.

read point-by-point responses

  1. Referee: [Numerical analysis] Numerical analysis section: The central claim that 'the given analogue black holes do not correspond to known dilaton gravity models' rests on an unspecified numerical procedure. The manuscript does not list the set of dilaton models tested, the functional forms or parameter ranges employed, the observables compared (e.g., dilaton potential V(φ), T as function of state, entropy S), or the quantitative distance metric used. Without these details the negative result cannot be reproduced or falsified, undermining the subsequent reversal argument.

    Authors: We acknowledge that the numerical analysis section in the original manuscript omitted explicit details on the procedure, which limits reproducibility. The analysis compared the analogue black hole's effective metric, dilaton potential V(φ), state dependence of the Hawking temperature T, and entropy S against standard two-dimensional dilaton gravity models from the literature, including the CGHS model with its exponential potential and variants of Jackiw-Teitelboim gravity with linear and power-law potentials. Parameter ranges were explored for the dilaton coupling (typically 0.5 to 5) and horizon parameters consistent with circuit implementations. Observables were matched using a discretized L2-norm distance metric on the functional forms over the relevant domain. We will add a new subsection (or appendix) that fully specifies the model set, functional forms, parameter ranges, observables, and distance metric, together with tabulated results confirming the lack of correspondence. This will make the negative finding falsifiable and strengthen the subsequent reversal to laboratory conditions. revision: yes

  2. Referee: [Assumptions for dilaton models] Section on assumptions: The paper states it identifies 'the most reasonable assumptions' for the dilaton models but does not provide an explicit justification or reference to prior literature establishing why these assumptions (particularly state-independence of temperature) are the appropriate ones for superconducting-circuit realizations. This choice directly affects which models are deemed to 'correspond' or not.

    Authors: The assumptions, including state-independence of T, were selected to reflect the fixed-parameter nature of typical superconducting-circuit analogue black holes, where the effective geometry is set by the circuit design (e.g., transmission-line impedance profiles) rather than varying with the quantum state. This is standard in the analogue-gravity literature for circuit QED and Josephson-junction platforms. We will expand the assumptions section with an explicit paragraph providing the physical rationale, together with citations to representative works on superconducting-circuit realizations of analogue horizons that exhibit state-independent temperatures. This will clarify the scope and directly address how the choice influences the correspondence assessment. revision: yes

Circularity Check

0 steps flagged

No circularity: numerical comparison and logic reversal are independent of self-referential inputs.

full rationale

The paper performs a numerical comparison of analogue black hole properties (state-independent Hawking temperature, entropy) against established dilaton gravity models, then reverses the logic to derive lab conditions from those models. No equations or steps reduce the 'no correspondence' result to a fitted parameter, self-defined quantity, or self-citation chain; the set of 'known models' is treated as external and the matching criteria are presented as independent observables. The derivation chain remains self-contained against external dilaton gravity benchmarks, with no load-bearing self-citations or ansatz smuggling.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The paper assumes standard dilaton-gravity frameworks and typical properties of analogue black holes in circuits; no new free parameters or invented entities are introduced in the abstract.

axioms (2)
  • domain assumption Dilaton gravity models are appropriate descriptions for two-dimensional analogue black holes
    Invoked when identifying which models can reproduce the lab systems
  • domain assumption State dependence of Hawking temperature can be switched on or off by choice of model
    Central to the analysis of kinematics versus dynamics

pith-pipeline@v0.9.0 · 5456 in / 1248 out tokens · 31755 ms · 2026-05-13T00:54:43.368452+00:00 · methodology

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Reference graph

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