Add arXiv 2511.05345 dossier artifacts

arxiv/2511.05345/2026-01-01/ARTIFACTS.sha256

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+3820506351f1c0171a674f69316e7c283717ad857b94a63e6e905c15f5da0fb0  rendered/index.html
+f051260e6d8a0219823051171fed2c7a36e394e13fda27d00f81e28252ad8e52  rendered/dossier.md
+f051260e6d8a0219823051171fed2c7a36e394e13fda27d00f81e28252ad8e52  generated/arxiv-2511.05345.redteam.plain.md

arxiv/2511.05345/2026-01-01/README.md

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+# arXiv 2511.05345 — Shadow Dossier (Plain English)
+
+This repo stores the artifacts used to publish the rendered dossier.
+
+## Public links
+
+- Rendered HTML: https://infrafabric.io/static/hosted/review/arxiv/2511.05345/2026-01-01/index.html
+- Markdown: https://infrafabric.io/static/hosted/review/arxiv/2511.05345/2026-01-01/dossier.md
+
+## Contents
+
+- `source/2511.05345.pdf` (+ `.sha256`)
+- `generated/arxiv-2511.05345.redteam.plain.md` (generated dossier markdown)
+- `rendered/index.html` + `rendered/dossier.md` (published render)
+
+## Notes
+
+- The HTML renderer uses CDN JS (`marked` + `mermaid`) so Mermaid diagrams render client-side.
+- Mermaid syntax was validated locally using `@mermaid-js/mermaid-cli`.

arxiv/2511.05345/2026-01-01/generated/arxiv-2511.05345.redteam.plain.md

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+---
+BRAND: InfraFabric.io
+UNIT: RED TEAM (STRATEGIC OPS)
+DOCUMENT: SHADOW DOSSIER (PLAIN ENGLISH)
+CLASSIFICATION: PUBLIC REVIEW COPY // RECEIPT-FIRST
+---
+
+# InfraFabric Red Team Shadow Dossier (Plain English)
+## PROJECT: ARXIV-2511-05345-MIRROR
+### SOURCE: arXiv 2511.05345 (PDF)
+**REPORT ID:** `IF-RT-PAPER-2026-0101-2511.05345`
+**SOURCE (arXiv):** https://arxiv.org/abs/2511.05345
+**SOURCE (PDF):** https://arxiv.org/pdf/2511.05345.pdf
+
+## Receipt (integrity)
+**Local PDF SHA-256:** `992e50be5f84477fdbcf72ddea26bec88e6e1b756d948161af1b71bf03fc6742`
+
+If you want to verify you’re reading the same file we reviewed:
+1. Download the PDF from the arXiv link above.
+2. Compute SHA-256 locally and compare to the hash above.
+
+---
+
+## Reader Map (no physics background required)
+
+Most research papers read as if physics is optional: frictionless assumptions, infinite precision, and a world where the hard parts are “left to future work.” This dossier strips away the gloss to reveal what the paper *actually claims*, what evidence it provides, and what would have to be true for the claims to hold up outside the page.
+
+### What this paper is about (one paragraph)
+This paper studies a specific “threshold” in how gravity behaves far away from an isolated system. The claim is: if the curvature of space falls off with distance faster than `1/r^3`, then the math predicts gravitational disturbances behave like ordinary radiating waves (they disperse away). But at exactly `1/r^3`, something special happens: there can be “marginal” modes that don’t fully disperse, which the author connects to long-lasting gravitational effects like **memory** (a persistent change after a wave passes) and **soft modes** (very low-frequency structure).
+
+### Minimal glossary (only what you need)
+- **Curvature**: a measure of how “bent” space is. Far away from an isolated object, curvature should get smaller.
+- **Decay like `1/r^p`**: as distance `r` increases, the quantity shrinks roughly proportionally to `1/r^p`. Bigger `p` means faster decay.
+- **Linearized gravity**: a “small perturbations” approximation. You only track small deviations from a background spacetime, not full strong-field dynamics.
+- **Operator / spectrum**: a mathematical machine that, roughly, tells you what “modes” (patterns) are allowed. The “spectrum” is the set of possible mode energies/frequencies.
+- **Essential spectrum**: the part of the spectrum associated with “extended” (non-localized) behavior. The key question here is whether **zero energy** is included.
+- **Gravitational memory**: a lasting displacement/offset after gravitational waves pass; linked to “infrared” (very low-frequency / long-range) structure.
+
+### What a non-specialist should watch for
+The central claim is a “sharp threshold” (`p = 3`) that separates two regimes. Your job as a reader is to ask:
+1) What assumptions are required for the threshold to be meaningful?
+2) Does the evidence actually show a threshold, or a gradual trend that’s being labeled “sharp”?
+3) Are the numerical experiments robust, or could different choices move the apparent threshold?
+
+---
+
+## Executive Summary (what the paper claims vs what it proves)
+
+### The source claims (verbatim, minimal)
+- “We identify curvature decay |Riem| ∼ r−3 as a sharp spectral threshold in linearized gravity on asymptotically flat manifolds.”
+- “For faster decay, the spatial Lichnerowicz operator possesses a purely continuous spectrum σess(L) = [0, ∞).”
+- “At the inverse-cube rate, compactness fails and zero energy enters σess(L), yielding marginally bound, finite-energy configurations that remain spatially extended.”
+- “A complementary numerical study … confirms the analytic scaling law, locating the same transition at p = 3.”
+
+### Red Team translation (plain language)
+The author is claiming there’s a mathematically meaningful “border” at `1/r^3` between:
+- **Dispersive behavior** (waves radiate away cleanly; nothing “stays behind”), and
+- **Infrared / persistent structure** (there are static or near-static patterns that remain spatially extended and can encode long-range correlations).
+
+```mermaid
+flowchart TD
+  A((Source claim))
+  B{Is p > 3?}
+  C((Dispersive regime))
+  D((Marginal regime))
+  E[Analytic: spectrum argument]
+  F[Numerics: stability checks]
+  G[Interpretation: memory / soft modes]
+  H[Re-check scope + assumptions]
+
+  A --> B
+  B --> C
+  B --> D
+  C --> E
+  D --> E
+  C --> F
+  D --> F
+  E --> G
+  F --> G
+  G --> H
+  H --> B
+```
+
+### What would make this claim strong
+To treat “p = 3 is the boundary” as a reliable result, the paper must do three things well:
+1) Prove the analytic result in the intended setting (not a special-case),
+2) Show the numerics are stable and not an artifact of discretization/boundary choices, and
+3) Be clear about scope: this is **linearized** gravity; do not quietly imply this fully explains nonlinear astrophysical memory.
+
+---
+
+## Section-by-section dossier (mirror + stress test)
+
+### Abstract
+**What it says:** `1/r^3` decay is the threshold; faster decay ⇒ purely continuous spectrum; at `1/r^3` zero enters the essential spectrum; numerics support `p=3`; parallels to gauge theory.
+
+**What to verify:**
+- Does “sharp threshold” mean a mathematically proven statement, or a heuristic claim supported by numerics?
+- Are “memory” and “soft” interpretations clearly separated from what is strictly proven?
+
+### 1) Introduction
+**What it says (plain):** The paper wants a *spatial* mechanism (on a Cauchy slice) for long-range gravitational correlations, not just an “at null infinity” story.
+
+**Stress-test questions (scope):**
+- **Scope:** What is assumed about the background spacetime? The author references “vacuum background” and harmonic-gauge perturbations; that’s not “all of gravity.”
+- **Interpretation gap:** The paper links zero-energy extended modes to memory/soft physics. Is that a theorem, or an interpretive bridge?
+
+**Failure mode to watch:** The reader confuses “this operator has zero in its essential spectrum” with “we have fully explained gravitational memory.”
+
+### 2) Spectral Scaling and Structural Parallels (Spin-1 vs Spin-2)
+**What it says:** There’s a structural similarity between gauge fields and gravity: both are Laplace-type operators with curvature-induced potentials whose decay controls infrared behavior.
+
+**Stress-test questions (parallel):**
+- Is the parallel “structural” (same scaling argument) or “physical” (same phenomenon)? The paper itself calls it “structural similarity,” which is the safer claim.
+- Does the argument rely on dimensional analysis alone, or does it use operator estimates that truly pin down `p=3`?
+
+### 3) (Critical regime / “zero enters the essential spectrum”)
+**What it likely does:** This is where the “threshold” result is established: `p > 3` ⇒ compact perturbation ⇒ essential spectrum unchanged; `p = 3` ⇒ compactness fails ⇒ zero in essential spectrum.
+
+**Stress-test questions (math hinge):**
+- What is the key technical hinge? The hinge is usually: “the potential decays fast enough to be a compact perturbation” vs “it decays too slowly.”
+- At `p=3`, what fails exactly? (“compactness fails” is the keyword; the paper should show why that failure implies the spectral change.)
+
+### 4) Generalization to arbitrary dimension (pcrit = d)
+**What it says:** In `d` spatial dimensions, the critical exponent becomes `pcrit = d`.
+
+**Stress-test questions (generalization):**
+- Is this a rigorous extension or a scaling argument? (Either can be useful, but they are not the same.)
+- If the core application is 3D, does the generalization introduce additional assumptions that are not true in 3D?
+
+### 5) Numerical Verification
+**What it says:** A model operator is tested numerically. As `p` decreases toward 3, the behavior changes in a way consistent with the analytic result; the paper emphasizes a continuous crossover rather than a discrete “confinement” phase.
+
+**Stress-test questions (numerics):**
+- **Boundary conditions:** Do the results depend on the choice of outer radius `Rmax` or boundary treatment?
+- **Resolution / convergence:** Are there explicit convergence tests? If the “sharpness” depends on resolution, it could be a numerical artifact.
+- **Model fidelity:** The radial operator is a simplified model. How much of the full 3D operator behavior is preserved?
+
+**Non-specialist test:** If you slightly change `Rmax` or discretization, does “p = 3” stay put, or does it drift?
+
+### 6) Physical interpretation (memory / tails / asymptotic symmetries)
+**What it says:** The marginal modes are interpreted as “precursors” to memory and soft effects; the threshold delineates dispersive vs infrared behavior.
+
+**Stress-test questions (interpretation):**
+- Are “precursors” precisely defined, or rhetorical? (“precursor” is often a careful hedge; treat it as such.)
+- Is the link to BMS symmetries explicitly derived, or contextual?
+
+### 7) Prior work / comparisons
+**What to verify:** When the paper claims parallels (e.g., gauge theory threshold), confirm it cites and correctly matches the referenced result.
+
+### 8) Summary / conclusions
+**What to verify:** The conclusion should restate scope limits:
+- linearized regime
+- asymptotically flat manifolds
+- specific operator / gauge conditions
+
+If it “escapes the scope,” that’s where overclaiming usually happens.
+
+---
+
+## “What should I do with this?” (for non-specialists)
+
+If you’re not a gravitational physicist, this paper is still useful as a template for a certain kind of claim:
+- “There’s a critical exponent that separates two regimes.”
+
+Treat it as:
+1) A statement about **mathematical structure** (operators + spectra), and
+2) A **hypothesis generator** for physics interpretation (memory/soft links), not a final proof of those physical phenomena.
+
+---
+
+## Reproducibility / verification checklist (practical)
+
+If you wanted to validate this paper as an outsider:
+- Confirm the exact PDF (hash).
+- Extract the assumptions list (background spacetime, gauge, dimensionality, function spaces).
+- List the analytic lemmas that force `p=3` (or `p=d`) and see if each has a clear dependency chain.
+- For the numerics:
+  - Identify the discretization method.
+  - Confirm convergence with increasing resolution.
+  - Confirm stability to changing domain size (`Rmax`) and boundary conditions.
+
+---
+
+## Vendor-safe conclusion (academic-safe, incentive-safe)
+
+**Success conditions:**
+- The analytic claim (“threshold at `p=3`”) is kept separate from the physical narrative (memory/soft interpretation).
+- Numerical evidence includes explicit convergence and boundary-condition sensitivity checks.
+- Scope is stated plainly (linearized regime, asymptotically flat setting, operator-level result).
+
+**Traps to avoid:**
+- Reading “sharp threshold” as “instant phase transition” without checking definitions.
+- Treating the simplified radial model as the full physical system.
+- Over-extending the interpretation beyond the paper’s formal setting.
+
+**Questions to ask (even as a lay reader):**
+- What, exactly, is proven vs suggested?
+- If I change the numerical setup slightly, does the “threshold” remain at `p=3`?
+- Which parts of the memory/soft story are derived here, and which are contextual links to other literature?
+
+---
+
+*InfraFabric Red Team Footer:* https://infrafabric.io
+
+*Standard Dave Footer:* This document is intended for the recipient only. If you are not the recipient, please delete it and forget you saw anything. P.S. Please consider the environment before printing this email.

arxiv/2511.05345/2026-01-01/rendered/dossier.md

@@ -0,0 +1,206 @@
+---
+BRAND: InfraFabric.io
+UNIT: RED TEAM (STRATEGIC OPS)
+DOCUMENT: SHADOW DOSSIER (PLAIN ENGLISH)
+CLASSIFICATION: PUBLIC REVIEW COPY // RECEIPT-FIRST
+---
+
+# InfraFabric Red Team Shadow Dossier (Plain English)
+## PROJECT: ARXIV-2511-05345-MIRROR
+### SOURCE: arXiv 2511.05345 (PDF)
+**REPORT ID:** `IF-RT-PAPER-2026-0101-2511.05345`
+**SOURCE (arXiv):** https://arxiv.org/abs/2511.05345
+**SOURCE (PDF):** https://arxiv.org/pdf/2511.05345.pdf
+
+## Receipt (integrity)
+**Local PDF SHA-256:** `992e50be5f84477fdbcf72ddea26bec88e6e1b756d948161af1b71bf03fc6742`
+
+If you want to verify you’re reading the same file we reviewed:
+1. Download the PDF from the arXiv link above.
+2. Compute SHA-256 locally and compare to the hash above.
+
+---
+
+## Reader Map (no physics background required)
+
+Most research papers read as if physics is optional: frictionless assumptions, infinite precision, and a world where the hard parts are “left to future work.” This dossier strips away the gloss to reveal what the paper *actually claims*, what evidence it provides, and what would have to be true for the claims to hold up outside the page.
+
+### What this paper is about (one paragraph)
+This paper studies a specific “threshold” in how gravity behaves far away from an isolated system. The claim is: if the curvature of space falls off with distance faster than `1/r^3`, then the math predicts gravitational disturbances behave like ordinary radiating waves (they disperse away). But at exactly `1/r^3`, something special happens: there can be “marginal” modes that don’t fully disperse, which the author connects to long-lasting gravitational effects like **memory** (a persistent change after a wave passes) and **soft modes** (very low-frequency structure).
+
+### Minimal glossary (only what you need)
+- **Curvature**: a measure of how “bent” space is. Far away from an isolated object, curvature should get smaller.
+- **Decay like `1/r^p`**: as distance `r` increases, the quantity shrinks roughly proportionally to `1/r^p`. Bigger `p` means faster decay.
+- **Linearized gravity**: a “small perturbations” approximation. You only track small deviations from a background spacetime, not full strong-field dynamics.
+- **Operator / spectrum**: a mathematical machine that, roughly, tells you what “modes” (patterns) are allowed. The “spectrum” is the set of possible mode energies/frequencies.
+- **Essential spectrum**: the part of the spectrum associated with “extended” (non-localized) behavior. The key question here is whether **zero energy** is included.
+- **Gravitational memory**: a lasting displacement/offset after gravitational waves pass; linked to “infrared” (very low-frequency / long-range) structure.
+
+### What a non-specialist should watch for
+The central claim is a “sharp threshold” (`p = 3`) that separates two regimes. Your job as a reader is to ask:
+1) What assumptions are required for the threshold to be meaningful?
+2) Does the evidence actually show a threshold, or a gradual trend that’s being labeled “sharp”?
+3) Are the numerical experiments robust, or could different choices move the apparent threshold?
+
+---
+
+## Executive Summary (what the paper claims vs what it proves)
+
+### The source claims (verbatim, minimal)
+- “We identify curvature decay |Riem| ∼ r−3 as a sharp spectral threshold in linearized gravity on asymptotically flat manifolds.”
+- “For faster decay, the spatial Lichnerowicz operator possesses a purely continuous spectrum σess(L) = [0, ∞).”
+- “At the inverse-cube rate, compactness fails and zero energy enters σess(L), yielding marginally bound, finite-energy configurations that remain spatially extended.”
+- “A complementary numerical study … confirms the analytic scaling law, locating the same transition at p = 3.”
+
+### Red Team translation (plain language)
+The author is claiming there’s a mathematically meaningful “border” at `1/r^3` between:
+- **Dispersive behavior** (waves radiate away cleanly; nothing “stays behind”), and
+- **Infrared / persistent structure** (there are static or near-static patterns that remain spatially extended and can encode long-range correlations).
+
+```mermaid
+flowchart TD
+  A((Source claim))
+  B{Is p > 3?}
+  C((Dispersive regime))
+  D((Marginal regime))
+  E[Analytic: spectrum argument]
+  F[Numerics: stability checks]
+  G[Interpretation: memory / soft modes]
+  H[Re-check scope + assumptions]
+
+  A --> B
+  B --> C
+  B --> D
+  C --> E
+  D --> E
+  C --> F
+  D --> F
+  E --> G
+  F --> G
+  G --> H
+  H --> B
+```
+
+### What would make this claim strong
+To treat “p = 3 is the boundary” as a reliable result, the paper must do three things well:
+1) Prove the analytic result in the intended setting (not a special-case),
+2) Show the numerics are stable and not an artifact of discretization/boundary choices, and
+3) Be clear about scope: this is **linearized** gravity; do not quietly imply this fully explains nonlinear astrophysical memory.
+
+---
+
+## Section-by-section dossier (mirror + stress test)
+
+### Abstract
+**What it says:** `1/r^3` decay is the threshold; faster decay ⇒ purely continuous spectrum; at `1/r^3` zero enters the essential spectrum; numerics support `p=3`; parallels to gauge theory.
+
+**What to verify:**
+- Does “sharp threshold” mean a mathematically proven statement, or a heuristic claim supported by numerics?
+- Are “memory” and “soft” interpretations clearly separated from what is strictly proven?
+
+### 1) Introduction
+**What it says (plain):** The paper wants a *spatial* mechanism (on a Cauchy slice) for long-range gravitational correlations, not just an “at null infinity” story.
+
+**Stress-test questions (scope):**
+- **Scope:** What is assumed about the background spacetime? The author references “vacuum background” and harmonic-gauge perturbations; that’s not “all of gravity.”
+- **Interpretation gap:** The paper links zero-energy extended modes to memory/soft physics. Is that a theorem, or an interpretive bridge?
+
+**Failure mode to watch:** The reader confuses “this operator has zero in its essential spectrum” with “we have fully explained gravitational memory.”
+
+### 2) Spectral Scaling and Structural Parallels (Spin-1 vs Spin-2)
+**What it says:** There’s a structural similarity between gauge fields and gravity: both are Laplace-type operators with curvature-induced potentials whose decay controls infrared behavior.
+
+**Stress-test questions (parallel):**
+- Is the parallel “structural” (same scaling argument) or “physical” (same phenomenon)? The paper itself calls it “structural similarity,” which is the safer claim.
+- Does the argument rely on dimensional analysis alone, or does it use operator estimates that truly pin down `p=3`?
+
+### 3) (Critical regime / “zero enters the essential spectrum”)
+**What it likely does:** This is where the “threshold” result is established: `p > 3` ⇒ compact perturbation ⇒ essential spectrum unchanged; `p = 3` ⇒ compactness fails ⇒ zero in essential spectrum.
+
+**Stress-test questions (math hinge):**
+- What is the key technical hinge? The hinge is usually: “the potential decays fast enough to be a compact perturbation” vs “it decays too slowly.”
+- At `p=3`, what fails exactly? (“compactness fails” is the keyword; the paper should show why that failure implies the spectral change.)
+
+### 4) Generalization to arbitrary dimension (pcrit = d)
+**What it says:** In `d` spatial dimensions, the critical exponent becomes `pcrit = d`.
+
+**Stress-test questions (generalization):**
+- Is this a rigorous extension or a scaling argument? (Either can be useful, but they are not the same.)
+- If the core application is 3D, does the generalization introduce additional assumptions that are not true in 3D?
+
+### 5) Numerical Verification
+**What it says:** A model operator is tested numerically. As `p` decreases toward 3, the behavior changes in a way consistent with the analytic result; the paper emphasizes a continuous crossover rather than a discrete “confinement” phase.
+
+**Stress-test questions (numerics):**
+- **Boundary conditions:** Do the results depend on the choice of outer radius `Rmax` or boundary treatment?
+- **Resolution / convergence:** Are there explicit convergence tests? If the “sharpness” depends on resolution, it could be a numerical artifact.
+- **Model fidelity:** The radial operator is a simplified model. How much of the full 3D operator behavior is preserved?
+
+**Non-specialist test:** If you slightly change `Rmax` or discretization, does “p = 3” stay put, or does it drift?
+
+### 6) Physical interpretation (memory / tails / asymptotic symmetries)
+**What it says:** The marginal modes are interpreted as “precursors” to memory and soft effects; the threshold delineates dispersive vs infrared behavior.
+
+**Stress-test questions (interpretation):**
+- Are “precursors” precisely defined, or rhetorical? (“precursor” is often a careful hedge; treat it as such.)
+- Is the link to BMS symmetries explicitly derived, or contextual?
+
+### 7) Prior work / comparisons
+**What to verify:** When the paper claims parallels (e.g., gauge theory threshold), confirm it cites and correctly matches the referenced result.
+
+### 8) Summary / conclusions
+**What to verify:** The conclusion should restate scope limits:
+- linearized regime
+- asymptotically flat manifolds
+- specific operator / gauge conditions
+
+If it “escapes the scope,” that’s where overclaiming usually happens.
+
+---
+
+## “What should I do with this?” (for non-specialists)
+
+If you’re not a gravitational physicist, this paper is still useful as a template for a certain kind of claim:
+- “There’s a critical exponent that separates two regimes.”
+
+Treat it as:
+1) A statement about **mathematical structure** (operators + spectra), and
+2) A **hypothesis generator** for physics interpretation (memory/soft links), not a final proof of those physical phenomena.
+
+---
+
+## Reproducibility / verification checklist (practical)
+
+If you wanted to validate this paper as an outsider:
+- Confirm the exact PDF (hash).
+- Extract the assumptions list (background spacetime, gauge, dimensionality, function spaces).
+- List the analytic lemmas that force `p=3` (or `p=d`) and see if each has a clear dependency chain.
+- For the numerics:
+  - Identify the discretization method.
+  - Confirm convergence with increasing resolution.
+  - Confirm stability to changing domain size (`Rmax`) and boundary conditions.
+
+---
+
+## Vendor-safe conclusion (academic-safe, incentive-safe)
+
+**Success conditions:**
+- The analytic claim (“threshold at `p=3`”) is kept separate from the physical narrative (memory/soft interpretation).
+- Numerical evidence includes explicit convergence and boundary-condition sensitivity checks.
+- Scope is stated plainly (linearized regime, asymptotically flat setting, operator-level result).
+
+**Traps to avoid:**
+- Reading “sharp threshold” as “instant phase transition” without checking definitions.
+- Treating the simplified radial model as the full physical system.
+- Over-extending the interpretation beyond the paper’s formal setting.
+
+**Questions to ask (even as a lay reader):**
+- What, exactly, is proven vs suggested?
+- If I change the numerical setup slightly, does the “threshold” remain at `p=3`?
+- Which parts of the memory/soft story are derived here, and which are contextual links to other literature?
+
+---
+
+*InfraFabric Red Team Footer:* https://infrafabric.io
+
+*Standard Dave Footer:* This document is intended for the recipient only. If you are not the recipient, please delete it and forget you saw anything. P.S. Please consider the environment before printing this email.

arxiv/2511.05345/2026-01-01/rendered/index.html

@@ -0,0 +1,298 @@
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+      <div class="badge"><b>Source</b><span>arXiv:2511.05345</span></div>
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+      <div class="panelhead">
+        <h1>InfraFabric Red Team — Shadow Dossier (Plain English)</h1>
+        <div class="links">
+          <a class="btn" href="https://arxiv.org/abs/2511.05345" target="_blank" rel="noreferrer">arXiv abstract</a>
+          <a class="btn" href="https://arxiv.org/pdf/2511.05345.pdf" target="_blank" rel="noreferrer">PDF</a>
+          <a class="btn" href="dossier.md">Download Markdown</a>
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+  <script type="text/markdown" id="md">---
+BRAND: InfraFabric.io
+UNIT: RED TEAM (STRATEGIC OPS)
+DOCUMENT: SHADOW DOSSIER (PLAIN ENGLISH)
+CLASSIFICATION: PUBLIC REVIEW COPY // RECEIPT-FIRST
+---
+
+# InfraFabric Red Team Shadow Dossier (Plain English)
+## PROJECT: ARXIV-2511-05345-MIRROR
+### SOURCE: arXiv 2511.05345 (PDF)
+**REPORT ID:** `IF-RT-PAPER-2026-0101-2511.05345`
+**SOURCE (arXiv):** https://arxiv.org/abs/2511.05345
+**SOURCE (PDF):** https://arxiv.org/pdf/2511.05345.pdf
+
+## Receipt (integrity)
+**Local PDF SHA-256:** `992e50be5f84477fdbcf72ddea26bec88e6e1b756d948161af1b71bf03fc6742`
+
+If you want to verify you’re reading the same file we reviewed:
+1. Download the PDF from the arXiv link above.
+2. Compute SHA-256 locally and compare to the hash above.
+
+---
+
+## Reader Map (no physics background required)
+
+Most research papers read as if physics is optional: frictionless assumptions, infinite precision, and a world where the hard parts are “left to future work.” This dossier strips away the gloss to reveal what the paper *actually claims*, what evidence it provides, and what would have to be true for the claims to hold up outside the page.
+
+### What this paper is about (one paragraph)
+This paper studies a specific “threshold” in how gravity behaves far away from an isolated system. The claim is: if the curvature of space falls off with distance faster than `1/r^3`, then the math predicts gravitational disturbances behave like ordinary radiating waves (they disperse away). But at exactly `1/r^3`, something special happens: there can be “marginal” modes that don’t fully disperse, which the author connects to long-lasting gravitational effects like **memory** (a persistent change after a wave passes) and **soft modes** (very low-frequency structure).
+
+### Minimal glossary (only what you need)
+- **Curvature**: a measure of how “bent” space is. Far away from an isolated object, curvature should get smaller.
+- **Decay like `1/r^p`**: as distance `r` increases, the quantity shrinks roughly proportionally to `1/r^p`. Bigger `p` means faster decay.
+- **Linearized gravity**: a “small perturbations” approximation. You only track small deviations from a background spacetime, not full strong-field dynamics.
+- **Operator / spectrum**: a mathematical machine that, roughly, tells you what “modes” (patterns) are allowed. The “spectrum” is the set of possible mode energies/frequencies.
+- **Essential spectrum**: the part of the spectrum associated with “extended” (non-localized) behavior. The key question here is whether **zero energy** is included.
+- **Gravitational memory**: a lasting displacement/offset after gravitational waves pass; linked to “infrared” (very low-frequency / long-range) structure.
+
+### What a non-specialist should watch for
+The central claim is a “sharp threshold” (`p = 3`) that separates two regimes. Your job as a reader is to ask:
+1) What assumptions are required for the threshold to be meaningful?
+2) Does the evidence actually show a threshold, or a gradual trend that’s being labeled “sharp”?
+3) Are the numerical experiments robust, or could different choices move the apparent threshold?
+
+---
+
+## Executive Summary (what the paper claims vs what it proves)
+
+### The source claims (verbatim, minimal)
+- “We identify curvature decay |Riem| ∼ r−3 as a sharp spectral threshold in linearized gravity on asymptotically flat manifolds.”
+- “For faster decay, the spatial Lichnerowicz operator possesses a purely continuous spectrum σess(L) = [0, ∞).”
+- “At the inverse-cube rate, compactness fails and zero energy enters σess(L), yielding marginally bound, finite-energy configurations that remain spatially extended.”
+- “A complementary numerical study … confirms the analytic scaling law, locating the same transition at p = 3.”
+
+### Red Team translation (plain language)
+The author is claiming there’s a mathematically meaningful “border” at `1/r^3` between:
+- **Dispersive behavior** (waves radiate away cleanly; nothing “stays behind”), and
+- **Infrared / persistent structure** (there are static or near-static patterns that remain spatially extended and can encode long-range correlations).
+
+```mermaid
+flowchart TD
+  A((Source claim))
+  B{Is p > 3?}
+  C((Dispersive regime))
+  D((Marginal regime))
+  E[Analytic: spectrum argument]
+  F[Numerics: stability checks]
+  G[Interpretation: memory / soft modes]
+  H[Re-check scope + assumptions]
+
+  A --> B
+  B --> C
+  B --> D
+  C --> E
+  D --> E
+  C --> F
+  D --> F
+  E --> G
+  F --> G
+  G --> H
+  H --> B
+```
+
+### What would make this claim strong
+To treat “p = 3 is the boundary” as a reliable result, the paper must do three things well:
+1) Prove the analytic result in the intended setting (not a special-case),
+2) Show the numerics are stable and not an artifact of discretization/boundary choices, and
+3) Be clear about scope: this is **linearized** gravity; do not quietly imply this fully explains nonlinear astrophysical memory.
+
+---
+
+## Section-by-section dossier (mirror + stress test)
+
+### Abstract
+**What it says:** `1/r^3` decay is the threshold; faster decay ⇒ purely continuous spectrum; at `1/r^3` zero enters the essential spectrum; numerics support `p=3`; parallels to gauge theory.
+
+**What to verify:**
+- Does “sharp threshold” mean a mathematically proven statement, or a heuristic claim supported by numerics?
+- Are “memory” and “soft” interpretations clearly separated from what is strictly proven?
+
+### 1) Introduction
+**What it says (plain):** The paper wants a *spatial* mechanism (on a Cauchy slice) for long-range gravitational correlations, not just an “at null infinity” story.
+
+**Stress-test questions (scope):**
+- **Scope:** What is assumed about the background spacetime? The author references “vacuum background” and harmonic-gauge perturbations; that’s not “all of gravity.”
+- **Interpretation gap:** The paper links zero-energy extended modes to memory/soft physics. Is that a theorem, or an interpretive bridge?
+
+**Failure mode to watch:** The reader confuses “this operator has zero in its essential spectrum” with “we have fully explained gravitational memory.”
+
+### 2) Spectral Scaling and Structural Parallels (Spin-1 vs Spin-2)
+**What it says:** There’s a structural similarity between gauge fields and gravity: both are Laplace-type operators with curvature-induced potentials whose decay controls infrared behavior.
+
+**Stress-test questions (parallel):**
+- Is the parallel “structural” (same scaling argument) or “physical” (same phenomenon)? The paper itself calls it “structural similarity,” which is the safer claim.
+- Does the argument rely on dimensional analysis alone, or does it use operator estimates that truly pin down `p=3`?
+
+### 3) (Critical regime / “zero enters the essential spectrum”)
+**What it likely does:** This is where the “threshold” result is established: `p > 3` ⇒ compact perturbation ⇒ essential spectrum unchanged; `p = 3` ⇒ compactness fails ⇒ zero in essential spectrum.
+
+**Stress-test questions (math hinge):**
+- What is the key technical hinge? The hinge is usually: “the potential decays fast enough to be a compact perturbation” vs “it decays too slowly.”
+- At `p=3`, what fails exactly? (“compactness fails” is the keyword; the paper should show why that failure implies the spectral change.)
+
+### 4) Generalization to arbitrary dimension (pcrit = d)
+**What it says:** In `d` spatial dimensions, the critical exponent becomes `pcrit = d`.
+
+**Stress-test questions (generalization):**
+- Is this a rigorous extension or a scaling argument? (Either can be useful, but they are not the same.)
+- If the core application is 3D, does the generalization introduce additional assumptions that are not true in 3D?
+
+### 5) Numerical Verification
+**What it says:** A model operator is tested numerically. As `p` decreases toward 3, the behavior changes in a way consistent with the analytic result; the paper emphasizes a continuous crossover rather than a discrete “confinement” phase.
+
+**Stress-test questions (numerics):**
+- **Boundary conditions:** Do the results depend on the choice of outer radius `Rmax` or boundary treatment?
+- **Resolution / convergence:** Are there explicit convergence tests? If the “sharpness” depends on resolution, it could be a numerical artifact.
+- **Model fidelity:** The radial operator is a simplified model. How much of the full 3D operator behavior is preserved?
+
+**Non-specialist test:** If you slightly change `Rmax` or discretization, does “p = 3” stay put, or does it drift?
+
+### 6) Physical interpretation (memory / tails / asymptotic symmetries)
+**What it says:** The marginal modes are interpreted as “precursors” to memory and soft effects; the threshold delineates dispersive vs infrared behavior.
+
+**Stress-test questions (interpretation):**
+- Are “precursors” precisely defined, or rhetorical? (“precursor” is often a careful hedge; treat it as such.)
+- Is the link to BMS symmetries explicitly derived, or contextual?
+
+### 7) Prior work / comparisons
+**What to verify:** When the paper claims parallels (e.g., gauge theory threshold), confirm it cites and correctly matches the referenced result.
+
+### 8) Summary / conclusions
+**What to verify:** The conclusion should restate scope limits:
+- linearized regime
+- asymptotically flat manifolds
+- specific operator / gauge conditions
+
+If it “escapes the scope,” that’s where overclaiming usually happens.
+
+---
+
+## “What should I do with this?” (for non-specialists)
+
+If you’re not a gravitational physicist, this paper is still useful as a template for a certain kind of claim:
+- “There’s a critical exponent that separates two regimes.”
+
+Treat it as:
+1) A statement about **mathematical structure** (operators + spectra), and
+2) A **hypothesis generator** for physics interpretation (memory/soft links), not a final proof of those physical phenomena.
+
+---
+
+## Reproducibility / verification checklist (practical)
+
+If you wanted to validate this paper as an outsider:
+- Confirm the exact PDF (hash).
+- Extract the assumptions list (background spacetime, gauge, dimensionality, function spaces).
+- List the analytic lemmas that force `p=3` (or `p=d`) and see if each has a clear dependency chain.
+- For the numerics:
+  - Identify the discretization method.
+  - Confirm convergence with increasing resolution.
+  - Confirm stability to changing domain size (`Rmax`) and boundary conditions.
+
+---
+
+## Vendor-safe conclusion (academic-safe, incentive-safe)
+
+**Success conditions:**
+- The analytic claim (“threshold at `p=3`”) is kept separate from the physical narrative (memory/soft interpretation).
+- Numerical evidence includes explicit convergence and boundary-condition sensitivity checks.
+- Scope is stated plainly (linearized regime, asymptotically flat setting, operator-level result).
+
+**Traps to avoid:**
+- Reading “sharp threshold” as “instant phase transition” without checking definitions.
+- Treating the simplified radial model as the full physical system.
+- Over-extending the interpretation beyond the paper’s formal setting.
+
+**Questions to ask (even as a lay reader):**
+- What, exactly, is proven vs suggested?
+- If I change the numerical setup slightly, does the “threshold” remain at `p=3`?
+- Which parts of the memory/soft story are derived here, and which are contextual links to other literature?
+
+---
+
+*InfraFabric Red Team Footer:* https://infrafabric.io
+
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arxiv/2511.05345/2026-01-01/source/2511.05345.pdf.sha256

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