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The nexus between air pollution, green infrastructure and human health
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Augmented chaos-multiple linear regression approach for prediction of wave parameters
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A novel sectoral group analytic hierarchy process model with explicit market share – Understanding policy gaps in the rail freight market
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Research on the influencing factors of bilingual teaching in applied universities in Southwest China based on structural equation model
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Fragility analysis of underground large-scale frame structures considering seismic effects of vertical earthquakes
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Large-Scale Flume Experiments on Solitary Wave–Structure–Sediment Interactions, in Collaborative Research: Hybrid Flow-Sediment-Structure Interaction Analysis of Extreme Scour due to Coastal Flooding
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Green Building Materials and Sustainable Practices: Environmental Impact and Shaping the Future of Civil Engineering
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Design method of modular bi-directional load-bearing and energy dissipating joints in the context of intelligent construction
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Numerical Study and Parametric Insights of Mechanized Shaft Excavation in Soft Clay
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Non-Destructive Techniques for the Condition and Structural Health Monitoring of Wind Turbines: A Literature Review of the Last 20 Years
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Interdisciplinary Research Approach: The Structural Paradox of Constitutional Oaths and Systemic Perjury in Modern State Architecture
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Project Zion
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Record Appendix to Briefs for Appellants: Wilhelm Reich, et al. v. United States of America (U.S. Court of Appeals for the First Circuit, No. 5160, Volume IV, 1956)
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Voici la note complémentaire en anglais, avec les trois points (émigration, dole, allocations politiques) intégrés, l'accent sur les 300 ans d'archives de la Banque d'Angleterre, et les lois reformulées là où elles doivent l'être. --- The British Blue Circuit, 1700–2016: Archival Complement, Emigration, the Dole, and the Reformulated Laws Research note. Complement to The Decline of the Blue Circuit: Predation, Capital Flight, and the Fall of Empires (Academia 176085256). This note summarises the archival evidence, adds two mechanisms omitted from the first reading — mass emigration (1859–1880) and the creation of the dole (1909–1911) — and reformulates the laws that the evidence requires to correct. It does not modify the original paper. It does not claim to validate or refute the framework. It states what the archives show, what they do not show, and how the laws must be restated to remain testable. 1. Purpose and status The original paper advances a general thesis: empires decline when they capture flows without renewing their productive base. The British case (1850–1914) is presented as an illustration: capital flight, rentier enrichment, industrial decline. The archival complement tests this illustration against 300 years of Bank of England data, Maddison Project Database 2023, and the Jordà–Schularick–Taylor (JST) macrofinancial history. The result is not a refutation. It is a precisisation. The decline is real; the mechanism is not the one the paper describes. Two mechanisms omitted from the first reading — emigration and the dole — explain why the British blue circuit did not collapse as the paper predicts. Warning. The proxies used here (foreign income, financial value added, debt service, current account, GFCF, manufacturing volume, real wages) are not exhaustive measures of the two circuits. They do not add up. They do not share a single denominator. They measure flows, not predation. The absence of an observed collapse is not proof that no diversion occurred; it is proof that the predicted collapse did not occur in the series examined. 2. The 300 years of Bank of England archives The Bank of England's A Millennium of Macroeconomic Data for the UK (v3.1, Thomas–Dimsdale compilation) provides continuous annual series from 1700 to 2016. The series used are A1, A7, A10, A11, A14, A16, A27, A28a, A36 and A46. The official link returned HTTP 403 from the extraction environment; the analysis uses an archived copy of 27,533,690 bytes, 109 sheets, with the v3.1 corrections sheet and series up to 2016. Byte-identity with the official file is not asserted; URL and SHA-256 fingerprints are preserved in the reproducible archive. This is the longest continuous macroeconomic archive available for any national economy. It permits the 1830–1913 and 1920–2016 windows used in the tests, and the 1700–2016 perimeter for the chronology. It does not, by itself, identify the blue/red circuits: it measures the aggregates from which the circuits are inferred. 3. The three findings that require revision First — the relative decline is real, but it is not an absolute collapse. The UK share of world GDP at PPP falls from 9.32% (1870) to 8.92% (1900), 6.81% (1920) and 2.25% (2016). The first crossover of UK/US GDP per capita is 1880; returns above parity occur until 1898; the ratio stays below one from 1899 to 1913; the retrospective five-year moving average crosses in 1883. Exceptional returns occur again in 1933–1934. 1899 is therefore not an irreversible crossover. Second — the productive base does not collapse. Gross fixed capital formation (GFCF) over GDP averages 8.28% in 1855–1879 and 8.12% in 1880–1913: a slight decline, not a durable collapse. The values of 1870 (7.55%) and 1913 (7.59%) are almost identical; an intermediate peak occurs in 1900. Manufacturing volume is multiplied by 2.53 between 1870 and 1913, and by 2.01 between 1880 and 1913. Real wages rise by 36.8% between 1880 and 1913, and the labour share excluding rents rises from 64.50% to 66.60%. Third — the rentier enrichment is real, but it is not uniform. Net foreign property income rises from 1.76% of GDP (1855) to 3.15% (1870) and 8.06% (1913); the average rises from 3.07% (1855–1879) to 6.10% (1880–1913). The structural break is 1867 [1858–1869], before 1880. But public interest falls from 3.57% of GDP (1855) to 0.78% (1913): the "red" does not progress uniformly. For finance–business services–rents, the archive offers only isolated observations before 1920 (12.05% of VA in 1841, 9.88% in 1907); no annual datation of the City's rise is possible. After 1948, the broad finance–business–rents share rises from 9.61% to 37.13% (2015); industry and construction fall from 43.33% to 19.37%; the ratio passes from about 0.22 to 1.92. This is a transformation of nominal structure, not a pure measure of predation. Some industrial design activities are in business services; rents include imputed housing. 4. Emigration, 1859–1880: the safety valve The first reading of the British case treated the active population as constant. It was not. Between 1859 and 1880, British emigration to the United States was massive. Parliamentary sources of the period are explicit. A 1872 return notes that "a rise of wages is impending everywhere in Great Britain" and that "the great diminution in the number of competitors in the labour market" must have had the effect of sustaining the price of labour. A 1874 document describes "a drain upon the nerve and muscle of the country" and "the consequent rise in the rates of wages in Great Britain". British trade unions encouraged and assisted this emigration until the 1880s. What this changes for Law 17. The law states: "This flight reduces domestic productive investment (J), atrophies the blue circuit, and enriches the periphery." But if part of the active population leaves, the pressure on the labour market decreases. Wages can rise (as observed), and production can be maintained with fewer workers (as observed: manufacturing × 2.53 between 1870 and 1913). Emigration compensates capital flight. The blue circuit does not collapse because it loses capital; it is deserted by population, not by investment. The paper must say this: the stability of GFCF and the rise in real wages do not refute capital flight; they are made possible by emigration. Link with I (informal economy). Emigrants are often unskilled, rural, sometimes informal workers. Their departure reduces the reservoir of informal labour. The State does not "capture" them: they leave. This is a loss of I without gain for the British red circuit. Law 17 does not predict this explicitly, but the blue/red framework permits it: I is not only captured by J, T, Sc and G; it can also flee to another national circuit. 5. The dole, 1909–1911: the political allocation The dole is not a Victorian institution. It is a creation of the Edwardian era. The Labour Exchanges Act 1909 created a public employment service and a network of labour exchanges. The National Insurance Act 1911, Part II, created the first compulsory unemployment insurance in the world, initially limited to a few trades (construction, civil engineering, shipbuilding), covering about 2.4 million workers, with tripartite financing (employers, workers, State). Before 1909, the unemployed depended on the Poor Law (1834), whose principle of less eligibility required that the assisted person receive no more than the lowest-paid worker. This was a repressive system, not a political allocation. After 1911, the dole is a contributory allocation. It recognises unemployment as a social risk, not a moral fault. But it also fixes a frontier: those covered by the dole are in the red circuit (assistance); those in the covered trades are in the blue circuit (production). The uncovered trades (agriculture, domestic service, commerce) remain in the blind spot. This is a partial capture of I by T: the State sees the declared unemployed of industrial trades, not the informal workers of services. What this changes for Law 18. The law states: "Real wages fall, social protection degrades, and competition for service jobs intensifies." But before 1911 there is no national social protection against unemployment. The dole is a creation, not a degradation. The paper must distinguish two things: (i) before 1909, the absence of national social protection (true, but not a "degradation" relative to a prior state); (ii) after 1911, the creation of an allocation that can have perverse effects on the labour market. The political allocation. The dole is conditioned on job search and on the use of Labour Exchanges. It introduces an incentive to declare and a surveillance of the unemployed. The blockage is not only economic (the allocation may discourage return to work); it is also political: the allocation becomes an instrument of labour management, not only a safety net. 6. The reformulated laws The archival evidence requires the laws to be restated. The reformulations below keep the law's substance and add the conditions under which the observed British trajectory is compatible with it. Law 13 — Predatory Rentierism. Original: "The victor who captures the flows of the vanquished without recreating its own productive circuit becomes a rentier." Reformulated: The victor who captures foreign flows without renewing its productive base becomes a rentier. The rentier trajectory is compatible with a maintained domestic productive base, provided that the rent is shared with a declining or stable population, and that public interest does not rise uniformly. The British case (1855–1913) exhibits the rise in foreign income (1.76% to 8.06% of GDP) without a collapse of GFCF or manufacturing. Predation, the identity of the beneficiary and the exhaustion of the captured stock remain unmeasured. Law 14 — Imperial Delocalization. Original: "The periphery, enriched by the center's investments, develops its own blue circuit, while the center becomes a rentier (red circuit)." Reformulated: The periphery, enriched by the center's investments, may develop its own blue circuit, while the center's relative industrial position declines. The British case shows relative industrial decline and the rise of competitors, but does not identify transfers of factories, jobs or technology to identified destinations. The law is compatible with the data; it is not established by them. Law 16 — Monetary Disconnection. Original: "It enters a deflationary then inflationary cycle that destroys its blue circuit." Reformulated: A deflationary then inflationary cycle is observable in Britain (1873–1896: −1.06% mean inflation; 1897–1913: +0.97%). It does not destroy the blue circuit: manufacturing rises by 57.7% during the deflation and by 40.4% during the inflation; real GDP rises by 49.2% and real wages by 40.0% during the deflation. The destructive sequence is not supported. The link between production and money is not independently measured. Law 17 — Capital Flight. Original: "This flight reduces domestic productive investment (J), atrophies the blue circuit, and enriches the periphery." Reformulated: Capital flight can atrophy the blue circuit if the active population does not decrease at the same time. Emigration is a condition of validity, not a counter-example. In Britain, the current account surplus (average 4.58% of GDP, 1870–1913) is compatible with large net outflows, but GFCF over GDP is stable (8.28% to 8.12%) and manufacturing grows (× 2.53, 1870–1913). The three a priori annual lags show no significant relation between net capital exports and GFCF (p_HAC = 0.278, 0.755, 0.396). The reverse direction, GFCF → current account, is detected (q ≈ 0.0015), but it does not prove a causal mechanism: the current account and investment are already linked by the saving–investment identity. After 1920, the current account → GFCF signal has p_HAC = 0.0053, but q = 0.062 after multiplicity; the sum of coefficients is positive, not that of a simple crowding-out. Law 18 — Inverted Trickle-Down. Original: "Real wages fall, social protection degrades, and competition for service jobs intensifies." Reformulated: The fall in real wages can occur if emigration does not play its safety-valve role and if the dole does not institutionalise assistance. Before 1911, there is no national social protection against unemployment; the dole is a creation of the Edwardian era, not a Victorian legacy. In Britain 1880–1913, real composite wages rise by 36.8%, and the labour share excluding rents rises from 64.50% to 66.60%. The fall in real wages is not observed. The modern extension is different: between 1974 and 1989, the labour share falls from 74.98% to 68.61%, then rises to 75.29% in 2016; real composite wages do not fall over the whole 1974–1989 period. The rise of services does not measure their precariousness. Law 19 — Military Compensation. Original: "These interventions increase G and D without rebuilding the blue circuit." Reformulated: Military effort is observable (defence 1.92% of GDP in 1880, 5.49% in 1900, 3.03% in 1913), but public debt falls before 1914 (68.00% of GDP in 1870, 28.27% in 1913). The "compensation" is not identified: the objectives of intervention, the captured flows T_w and the counterfactual return on military spending are not measured. The defence → labour share signal over 1920–2016 is significant in the main model but disappears outside 1939–1947 (p = 0.816). 7. What remains non-testable Law 20 (conscription resistance): non-testable. No refusal, exemption, insubordination or voluntary recruitment rates by civilian outlet. Law 15 (freebooting): out of test. No capture event or hegemonic contest coded. Law 13: predation, beneficiary identity and exhaustion of the captured stock remain unidentified. Law 14: no FDI flows by destination and branch, no identifiable productive transfers. Law 17: no compared marginal returns, no gross financial flows, no counterfactual for J. Law 16: no independent measure of the production–money link; do not convert a rise in money/GDP into an automatic diagnosis. Law 18: no individual distribution, no precariousness of jobs, no comparable social coverage. Law 19: no intervention objectives, no T_w revenues, no counterfactual return on military spending. 8. The American comparison (JST, 1870–2020) The JST sub-panel contains 151 years per country, GBR and USA, with original data and conversions. ca is an amount in local currency: the correct ratio is 100 × ca/gdp, not 100 × ca. iy and debtgdp are fractions, converted to percentages. Means: UK 1870–1913 investment/GDP 8.05%, current account +4.89%, public debt 49.46%. USA 1870–1913: 16.88%, −0.26%, 11.93%. UK 1970–2020: 19.96%, −1.73%, 52.85%. USA 1970–2020: 20.37%, −2.03%, 61.71%. The recent American case is not a repetition of the pre-1914 British net capital exporter. The American current account deficit is compatible with gross investments or delocalisations abroad financed by capital inflows; it does not refute them. It contradicts only the assimilation of these gross movements to an aggregated net export of capital. Between 1970 and 2020, American investment/GDP rises from 18.68% to 21.44%, while debt/GDP rises from 36.3% to 128.1%. The American test, current account → investment 1970–2020, is significant (p_HAC = 0.0058; q = 0.0233), but the sum of coefficients is positive and the average balance is in deficit. It does not demonstrate a net flight crowding out investment. JST contains neither sectoral shares, nor labour share, nor net rentier income, nor defence spending. Laws 13, 14, 18 and 19 cannot be validated in their American formulation with this sub-panel alone. 9. Break dates and precedence The intervals are the 95% conditional quantiles of a block bootstrap; they do not cover uncertainty on the number of breaks or on historical sources. A central date before 1880 does not imply that all its uncertainty is before 1880. Foreign income/GDP, 1830–1913: break 1867 [1858–1869]. Net foreign assets/GDP: 1864 [1857–1870]. Current account/GDP: 1875 [1846–1875]. GFCF/GDP: 1872 [1864–1884] (the interval overlaps 1880). Production and construction (log): 1871 [1854–1882]. Manufactures (log): 1870 [1867–1899] (weak BIC gain, not a break to absolute decline). Real wages (log): 1869 [1853–1875] (positive acceleration, not a fall). Defence/GDP: 1871 [1865–1885] (order not assured). The UK/US ratio itself has statistical breaks in 1847, 1879 and 1901; they do not replace the independent parity-crossover criterion. Modern sectoral precision depends on nomenclature. For industry–construction share, raw breaks 1970 and 1990 coincide with SIC block changes; after additive reconciliation to overlapping years, the model retains 1959, 1978 and 2004, against 1959, 1970 and 1990 on the raw series. The long-term decline remains; its exact dates must not be assimilated to certain economic events. Cross-correlations do not reveal a stable precursor delay. Before 1914, the maximum absolute correlation of foreign income–UK/US ratio is −0.254 at lag −6 (income follows the ratio), and of current account–GFCF −0.286 at lag 0. After 1920, the latter reaches −0.348 at lag +6. These maxima are exploratory, chosen among 21 lags; they are not estimated causal delays. 10. Sources and audit Bank of England, A Millennium of Macroeconomic Data for the UK, v3.1, Thomas–Dimsdale compilation: A1, A7, A10, A11, A14, A16, A27, A28a, A36 and A46. Official link returned HTTP 403 from this environment; an archived copy (27,533,690 bytes, 109 sheets, v3.1 corrections sheet, series to 2016) was used. Byte-identity with the official file is not asserted. URLs and SHA-256 fingerprints are preserved in the reproducible archive. Maddison Project Database 2023, Dataverse file: Full data, Regional data, Sources, and Maddison original sources. Units: 2011 international dollars per person and population in thousands. Historical sources cited by the workbook include Broadberry, Campbell, Klein, Overton and van Leeuwen (2015), British Economic Growth, 1270–1870; Feinstein (1972), National Income, Expenditure and Output of the United Kingdom, 1855–1965; Sutch (2006), "National Income and Product", Historical Statistics of the United States; Maddison (1995), Monitoring the World Economy; Pfister (2022), "Economic Growth in Germany, 1500–1850", Journal of Economic History, 82(4), 1071–1107; and the German Hoffmann–Grumbach–Hesse sources noted in the original tab. Jordà, Schularick and Taylor (2017), "Macrofinancial History and the New Business Cycle Facts", NBER Macroeconomics Annual 2016, vol. 31; JST R6 base, consulted 9 November 2026. Documentation and licence: CC BY-NC-SA 4.0 for JST data and adaptations; non-commercial academic use and attribution required. Series used in the tests: investment, current account, debt. The proxies are not an exhaustive estimate of the two circuits of the identity equation. They do not add up: foreign income, financial value added and debt service overlap and do not share the same denominator. See the source dictionary and protocol included in the archive for formulas, geographies and test rules. 11. Status and licence Research note. Complement to the original paper. This note summarises the archival evidence, adds emigration and the dole, and reformulates the laws. It does not modify the original paper. It does not claim to validate or refute the framework. This note is distributed under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). You are free to share and adapt the material for any purpose, provided you give appropriate credit to the author, Marc Bruno Delcour, provide a link to the licence, and indicate if changes were made. The Bank of England, Maddison and JST data remain under their own licences; the CC BY 4.0 applies to the note, not to the data. Keywords: blue circuit, red circuit, British case, emigration, dole, Labour Exchanges Act 1909, National Insurance Act 1911, Bank of England archives, reformulated laws, research programme. JEL: N13, N14, E01, E62, F32, J61. --- La note est prête. Elle ajoute l'émigration et le dole, reformule les six lois concernées (13, 14, 16, 17, 18, 19), et insiste sur les 300 ans d'archives de la Banque d'Angleterre comme socle documentaire. Les lois reformulées gardent leur substance et ajoutent les conditions sous lesquelles la trajectoire britannique observée est compatible avec elles.
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