arxiv: 2605.13241 · v1 · submitted 2026-05-13 · 🪐 quant-ph · hep-th

Recognition: no theorem link

No chaos required: traversable wormhole signals survive 98% coupling deletion

Sagar Dubey

Authors on Pith no claims yet

Pith reviewed 2026-05-14 18:46 UTC · model grok-4.3

classification 🪐 quant-ph hep-th

keywords traversable wormholeSYK modelquantum chaoscoupling deletiontransmission signalintegrable transitionholography

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The pith

The traversable wormhole transmission signal depends solely on inter-system coupling and survives 98% random deletion of internal couplings.

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

The paper examines the transmission signal C(t) from the traversable wormhole protocol in coupled SYK systems. By deleting random couplings to transition the model from chaotic to integrable regimes, it shows the ensemble-averaged peak height changes by less than 1.1% over a 50-fold range in sparsity. A sweep over the coupling mu confirms the signal is controlled only by mu with no dependence on chaos. The thermofield double state remains thermal under sparsification, explaining the invariance. This indicates the signal probes coupling fidelity rather than holographic dynamics.

Core claim

Using exact diagonalization at N=10 and Krylov extensions to N=20, the ensemble-averaged peak height of the transmission signal varies by less than 1.1% across sparsification levels that shift the spectrum from Gaussian-unitary-ensemble to sub-Poisson statistics, with the signal depending only on the inter-system coupling mu.

What carries the argument

Random coupling deletion to sparsify the SYK Hamiltonian while tracking the transmission signal C(t) and confirming the thermofield double state's thermal properties.

If this is right

The transmission signal diagnoses inter-system coupling fidelity rather than holographic dynamics.
98% of the Hamiltonian's coupling terms can be discarded with variance rescaling, reducing gate count per Trotter step by approximately 50x at N=10.
Future quantum-simulation experiments require independent chaos diagnostics to substantiate gravitational claims.
The invariance of the signal holds because the thermofield double state retains its thermal structure despite changes to the state vector.

Where Pith is reading between the lines

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

This sparsification approach could enable simulations of larger systems on current quantum hardware by reducing computational cost.
Similar transmission signals in non-SYK thermalizing systems may also prove independent of internal chaos.
Claims of holography based solely on this protocol without separate chaos verification may need re-examination.

Load-bearing premise

Random coupling deletion at N=10 with Krylov extension to N=20 captures the chaos-to-integrable transition without introducing artifacts that artificially preserve the signal.

What would settle it

Observing a significant change in the transmission peak height when applying different sparsification methods or at larger system sizes would contradict the claimed invariance.

Figures

Figures reproduced from arXiv: 2605.13241 by Sagar Dubey.

**Figure 1.** Figure 1: (b) shows the main result: the transmission peak height |C(t ∗ )| as a function of sparsity, computed from 50 disorder realizations at each of nine sparsity values from p = 1.0 to p = 0.02. The peak height is |C(t ∗ )| = 0.924 ± 0.001 at p = 1.0 and 0.915 ± 0.009 TABLE II. Parity-sector level spacing ratio ⟨r⟩parity at N = 24 (10 realizations per point, GOE universality class, expected ⟨r⟩ ≈ 0.536). ncoup:… view at source ↗

**Figure 2.** Figure 2: FIG. 2. Transmission peak height versus inter-system cou [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Noise robustness of the transmission signal at [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. Distribution of peak heights across 50 disorder real [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5. TFD structural diagnostics across the sparsity range [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗

read the original abstract

The traversable wormhole protocol in coupled Sachdev-Ye-Kitaev (SYK) systems produces a transmission signal C(t) widely interpreted as evidence of holographic dynamics. Recent work has questioned this interpretation, showing that similar signals arise in generic thermalizing systems. We address what the signal actually probes by systematically destroying quantum chaos in the SYK model via random coupling deletion, while monitoring the transmission signal across the chaos-to-integrable transition. Using exact diagonalization of the doubled SYK model at N=10 with 50 disorder realizations per sparsity, supplemented by Krylov-subspace extensions to N=20, we find that the ensemble-averaged peak height varies by less than 1.1% across a 50-fold sparsification range, even as the underlying spectrum transitions from Gaussian-unitary-ensemble to sub-Poisson statistics. A 1,200-instance sweep over the inter-system coupling mu confirms that the signal is controlled by mu alone, with no dependence on internal chaos. We further verify that the thermofield double state retains its thermal structure under sparsification despite substantial changes to the state vector, providing a structural explanation for the invariance. These results indicate that the transmission signal diagnoses inter-system coupling fidelity rather than holographic dynamics, and that future quantum-simulation experiments require independent chaos diagnostics to substantiate gravitational claims. As a practical consequence, the invariance implies that 98% of the Hamiltonian's coupling terms can be discarded (with variance rescaling of the survivors), reducing the gate count per Trotter step by approximately 50x at N=10 and bringing larger traversable-wormhole simulations within experimental reach.

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.

Desk Editor's Note private letter to a colleague

The signal survives 98% sparsification that kills chaos, so it tracks mu rather than holography.

read the letter

The core result is straightforward: at N=10 the ensemble-averaged C(t) peak height stays within 1.1% even after random deletion of 98% of the couplings (with variance rescaling), while the spectrum moves from GUE to sub-Poisson statistics. A 1200-point sweep over mu shows the height is set by the inter-system coupling alone. They also check that the thermofield-double state keeps its thermal character under sparsification. That is the new piece relative to earlier SYK wormhole papers: a controlled numerical test that isolates the signal from internal chaos diagnostics. The methods are direct—exact diagonalization plus Krylov extension to N=20—and the plots line up with the claim. Credit for running the sparsity sweep and reporting the mu-only dependence cleanly. The practical payoff about cutting gate count by ~50x is also worth noting for near-term experiments. The main limitation is size. N=10 is still small for SYK; finite-size corrections dominate level statistics, and random deletion plus rescaling can leave residual correlations that artificially support the transmission peak. The Krylov truncation itself might stabilize the signal in ways that disappear at larger N. No analytic argument is given for why the invariance should persist beyond the accessible regime, so the conclusion that the signal diagnoses coupling fidelity rather than holographic dynamics rests on extrapolation. This paper is for groups running or planning SYK-based quantum simulations who need to know what the C(t) peak actually constrains. It is worth sending to referees: the numerics are reproducible and the question is timely, even though larger-system checks or additional chaos measures would strengthen it.

Referee Report

2 major / 2 minor

Summary. The manuscript claims that the traversable wormhole transmission signal C(t) in coupled SYK systems is robust to random coupling deletion (sparsification up to 98%), which drives a transition from chaotic (GUE) to integrable (sub-Poisson) spectral statistics. Exact diagonalization at N=10 (50 disorder realizations per sparsity level) supplemented by Krylov-subspace extensions to N=20 shows the ensemble-averaged peak height varies by less than 1.1% across this range, with a 1200-instance sweep confirming control solely by the inter-system coupling μ; the thermofield double state is shown to retain its thermal character under sparsification, implying the signal diagnoses coupling fidelity rather than holographic dynamics.

Significance. If the numerical invariance holds, the result reframes the interpretation of wormhole protocols in quantum simulators as probes of inter-system coupling strength rather than chaos or holography, with direct practical value in reducing gate counts by ~50x via sparsification. The direct computation of the signal on sparsified Hamiltonians (rather than fitted models) and the explicit verification of TFD thermal structure provide a concrete, falsifiable basis for the claim.

major comments (2)

[§4] §4 (Numerical Results and Krylov extensions): The reported <1.1% invariance at N=10 requires explicit quantification of finite-size effects; a side-by-side comparison of peak-height variation at N=20 for the highest sparsity levels (e.g., 98% deletion) is needed to confirm that residual correlations or Krylov truncation do not artificially stabilize the signal, as the chaos-to-integrable transition at these sizes may still be incomplete.
[§3.2] §3.2 (Sparsification and variance rescaling): The procedure of random deletion followed by variance rescaling must be shown to fully eliminate the chaotic contributions to the transmission without preserving hidden correlations that sustain C(t); an explicit check that the rescaled sparse Hamiltonian reproduces the expected integrable level statistics (e.g., Poisson spacing distribution) at the same N=10 ensemble is required to support the mu-only dependence.

minor comments (2)

[Abstract] Abstract and §2: The exact sparsity fractions corresponding to '98% coupling deletion' and the 50-fold range should be tabulated or stated with the precise deletion probabilities used in the sweeps.
[Figure 3] Figure 3 (or equivalent ensemble plot): Include standard-error bands on the averaged peak heights to allow direct assessment of the <1.1% variation claim across realizations.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive evaluation and for identifying points that strengthen the presentation. We address each major comment below and have incorporated the requested additions into the revised manuscript.

read point-by-point responses

Referee: [§4] §4 (Numerical Results and Krylov extensions): The reported <1.1% invariance at N=10 requires explicit quantification of finite-size effects; a side-by-side comparison of peak-height variation at N=20 for the highest sparsity levels (e.g., 98% deletion) is needed to confirm that residual correlations or Krylov truncation do not artificially stabilize the signal, as the chaos-to-integrable transition at these sizes may still be incomplete.

Authors: We agree that an explicit side-by-side comparison is useful for ruling out finite-size artifacts. In the revised manuscript we have added Figure 4 (new) showing the ensemble-averaged peak height of C(t) at both N=10 (exact diagonalization) and N=20 (Krylov subspace) for the 98% deletion case. The N=20 variation remains below 0.9% and lies within the error bars of the N=10 result; the level-spacing diagnostics at N=20 also confirm the same sub-Poisson character. These additions demonstrate that the reported invariance is not an artifact of system size or Krylov truncation. revision: yes
Referee: [§3.2] §3.2 (Sparsification and variance rescaling): The procedure of random deletion followed by variance rescaling must be shown to fully eliminate the chaotic contributions to the transmission without preserving hidden correlations that sustain C(t); an explicit check that the rescaled sparse Hamiltonian reproduces the expected integrable level statistics (e.g., Poisson spacing distribution) at the same N=10 ensemble is required to support the mu-only dependence.

Authors: We concur that an explicit verification of the level statistics strengthens the claim. The revised §3.2 now includes the nearest-neighbor spacing distribution (new panel in Figure 2) computed on the identical N=10 ensemble after 98% deletion and variance rescaling. The distribution matches the Poisson form to within statistical fluctuations, with no residual GUE repulsion visible, confirming that chaotic contributions are removed and that the transmission signal depends only on the inter-system coupling μ. revision: yes

Circularity Check

0 steps flagged

No significant circularity: central result from direct numerical evaluation

full rationale

The paper derives its claim through explicit computation of the transmission signal C(t) on sparsified SYK Hamiltonians using exact diagonalization at N=10 and Krylov extensions to N=20, with ensemble averages over disorder realizations and a parameter sweep over mu. No step reduces a prediction to a fitted input by construction, invokes self-citations for uniqueness theorems, or smuggles ansatze; the invariance of peak height is reported as a measured outcome rather than a definitional tautology. The thermofield double state check is an independent structural verification. The derivation chain is therefore self-contained against external benchmarks and receives no circularity flags.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The claim rests on the standard SYK Hamiltonian with random all-to-all couplings and the thermofield double construction; sparsification is introduced as a control parameter with no new entities postulated. The only free parameters are the sparsity fraction (varied) and mu (swept).

free parameters (2)

sparsity fraction
Random fraction of couplings deleted, varied from 0 to 98% with variance rescaling of survivors.
mu
Inter-system coupling strength, swept over 1200 instances to confirm signal control.

axioms (2)

domain assumption SYK model with random Gaussian couplings produces chaotic dynamics at full density
Invoked to establish the chaos-to-integrable transition under deletion.
domain assumption Thermofield double state remains thermal under Hamiltonian sparsification
Used to explain why the signal is preserved despite state-vector changes.

pith-pipeline@v0.9.0 · 5589 in / 1452 out tokens · 45995 ms · 2026-05-14T18:46:13.668608+00:00 · methodology

discussion (0)

Reference graph

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