Current evidence

What the results show

Latest observation2025-12-31Freshest regional panel.
Primary measureJapanBorrower composition from BOJ sectoral lending.
ForecastingNot establishedNo reliable gain over the matched scale-only baseline.
EU / US evidenceExploratoryProxy panels, not cross-country validation.
Validation gates2/5Open gates remain visible and testable.

Data freshness

Latest available differs by region. Cross-region comparisons use each region's latest observation, not necessarily the same calendar month.

Japan (JP)2025-12-31Latest availableAligned with the latest regional observation.
Euro Area (EU)2025-09-30Latest available92 days behind the latest regional observation.
United States (US)2025-12-31Latest availableAligned with the latest regional observation.

Check date: 2026-10-01 UTC

How to read the indicators

Use these charts as descriptive evidence, not as a score or forecast. Compare each region with its own history, note the registered event periods, and check data freshness before reading the latest value.

The dashboard displays four experimental diagnostics:

  • SM measures dispersion in the configured allocation shares.
  • TL is a liquidity-state proxy built from market inputs.
  • Loop area records an open state-space path; it does not prove a closed cycle.
  • XC is an exergy-like transformation, not a safety margin or forecast.

These diagnostics are not validated for trading, regulation, or causal policy analysis.

Compare (within-region ranks)

At the latest date (2025-12-31), this section compares only within-region historical position. Percentiles and ranks are computed inside each regional history; raw indicator levels are not compared across JP/EU/US.

Highest S_M rankEuro Area (EU)within-region pctile = 82.2, rank 88/107
Highest T_L rankJapan (JP)within-region pctile = 86.5, rank 96/111
Highest loop rankUnited States (US)within-region pctile = 100.0, rank 1/1
Highest X_C historical rankUnited States (US)within-region pctile = 37.8, rank 14/37

Compare – Latest within-region ranks

Region Latest date S_M pctile S_M rank T_L pctile T_L rank Loop pctile Loop rank X_C pctile X_C rank
Japan (JP) 2025-12-31 81.98 91/111 86.49 96/111 41.44 46/111 11.32 12/106
Euro Area (EU) 2025-09-30 82.24 88/107 53.27 57/107 2.804 3/107 3.738 4/107
United States (US) 2025-12-31 76.09 70/92 7.609 7/92 100 1/1 37.84 14/37
Compare: S_M_hatNormalized dispersion standardized position highest in Euro Area (EU) (z≈0.97) vs United States (US) (z≈0.96); compare historical position, not raw levels.
Compare: T_L (standardized)Liquidity state standardized position highest in Japan (JP) (z≈0.77) vs United States (US) (z≈-1.76); compare historical position, not raw levels.
Compare: Loop area (standardized)Loop area (standardized) standardized position highest in Japan (JP) (z≈-0.77) vs Euro Area (EU) (z≈-1.28); compare historical position, not raw levels.
Compare: Internal Energy (standardized)Internal energy (standardized) standardized position highest in Euro Area (EU) (z≈2.23) vs Japan (JP) (z≈1.65); compare historical position, not raw levels.
Compare: ΔU (standardized)Δu (standardized) standardized position highest in Japan (JP) (z≈0.10) vs Euro Area (EU) (z≈-0.37); compare historical position, not raw levels.
Compare: ΔF_C (standardized)Δf_c (standardized) standardized position highest in Japan (JP) (z≈1.36) vs Euro Area (EU) (z≈0.21); compare historical position, not raw levels.
Compare: Free Energy (standardized)Free energy (standardized) standardized position highest in United States (US) (z≈-1.02) vs Japan (JP) (z≈-1.41); compare historical position, not raw levels.
Compare: X_C (standardized)Credit exergy standardized position highest in United States (US) (z≈-0.40) vs Euro Area (EU) (z≈-2.39); compare historical position, not raw levels.

Japan (JP)

Latest2025-12-31Most recent observation in this panel.
S_M1.074e+07Dispersion and allocation spread.
T_L0.6195Liquidity state index.
Streaming loop area5.259e+05Latest reading.
U1.162e+06Internal-energy-like model gauge.
X_C1.716e+06Experimental exergy-like diagnostic; not a safety margin.
Maxwell curl Ω1.383e-06Proxy consistency diagnostic.
First-law resid1.964e+05Residual in the first-law-like construction.

Japan (JP) sits in a high-dispersion, high-liquidity regime. Streaming loop area is non-zero; this describes the current open-path geometry. XC is above its lower bound.

Interpretation

S_M & T_LS_M is high, T_L is high as of 2025-12-31
Loop Path MonitorStreaming loop area is non-zero and falling.
X_C DiagnosticExperimental X_C is above its lower bound and rising.
Maxwell-like TestCurl Ω is 1.383e-06 (alerts active).
First-law DecompositionResidual is 1.964e+05 (ΔU minus predicted).

Recent values

date S_M T_L loop_area U dF_C X_C
2024-09-30 1.182035e+07 0.587100 3.915995e+06 1088576.1 -43757.144102 5.178157e+05
2024-12-31 1.174253e+07 0.596757 3.571003e+06 1106155.4 88442.680732 8.361075e+05
2025-03-31 1.151621e+07 0.593956 2.808932e+06 1108598.4 206849.149391 1.124338e+06
2025-06-30 1.131471e+07 0.597488 2.191819e+06 1116481.2 202409.025531 1.230857e+06
2025-09-30 1.110173e+07 0.607365 1.555080e+06 1136360.0 224660.897811 1.354163e+06
2025-12-31 1.074321e+07 0.619453 5.259421e+05 1161532.6 374144.228790 1.716372e+06
Advanced diagnostics

Diagnostics – Maxwell-like (window=24)

date dT_dV_at_S dp_dS_at_V maxwell_curl
2024-09-30 -1.615266e-08 0.000001 0.000001
2024-12-31 -2.442633e-08 0.000001 0.000001
2025-03-31 -2.424943e-08 0.000001 0.000001
2025-06-30 -2.411814e-08 0.000001 0.000001
2025-09-30 -2.399961e-08 0.000001 0.000001
2025-12-31 -2.325799e-08 0.000001 0.000001

Out-of-spec / crisis / proxy invalid zone: 2014-03-31 → 2014-06-30, 2022-09-30 → 2023-03-31, 2024-12-31 → 2024-12-31

Diagnostics – First-law

date dU Q_like minus_pV dU_pred firstlaw_resid
2024-09-30 -2179.4 20574.901236 8.100018e+04 -6.042528e+04 5.824588e+04
2024-12-31 17579.3 -46064.907621 1.145680e+06 -1.191745e+06 1.209325e+06
2025-03-31 2443.0 -134740.256954 3.689960e+05 -5.037363e+05 5.061793e+05
2025-06-30 7882.8 -120037.772048 -4.126550e+05 2.926172e+05 -2.847344e+05
2025-09-30 19878.8 -128306.821433 -4.352651e+05 3.069583e+05 -2.870795e+05
2025-12-31 25172.6 -219917.008061 -4.871129e+04 -1.712057e+05 1.963783e+05

X_C interpretation: this is an experimental exergy-like transformation. Its sign is not a validated safety margin, forecast, or policy threshold.

Japan (JP) Selected Input Series

Role Series ID Source Start Title
money_scale JPNASSETS config 1995-01-01 BoJ Total Assets (as money proxy)
base_proxy JPNASSETS config 1990-01-01 BoJ Total Assets
yield_proxy IRLTLT01JPM156N config 1995-01-01 Long-term JGB yield (FRED)
asset_proxy JPNASSETS config 1995-01-01 BoJ Total Assets (asset side proxy)
energy_proxy NY.GDP.MKTP.CN@2000-01-01 config 1990-01-01 Nominal GDP (energy component proxy)
depth_proxy CRDQJPAPABIS config 1990-01-01 Private non-financial sector credit (depth stock)
turnover_proxy MYAGM2JPM189S config 1990-01-01 Japan M2 (use as liquidity turnover proxy)
S_M & T_LS_M≈10743211.20 (high), T_L≈0.62 (high) These are model-specific historical positions; no policy or overheating threshold is validated.
S_M by categoryLatest dispersion split: Productive 30%, Financial 25%.
Loop Path MonitorStreaming loop area ≈525942.070 (non-zero and falling).
X_C DiagnosticX_C≈1716372.17 (low), rising; this is an experimental diagnostic, not validated headroom.
Free Energy (F_C)F_C≈1245198.91 (low) and rising on the configured model scale.
ΔF_C (change)ΔF_C≈374144.229; the latest model change is positive and rising.
Internal Energy (U)U≈1161532.60 / high / rising on the configured model scale.
Surplus/Shortage (ΔF_C)Positive component≈0.00, negative component≈9651865.03; negative is larger.
Maxwell-like TestMaxwell curl Ω≈0.000 (within the descriptive 3-MAD band).
First-law DecompositionResidual≈196378.318 trending falling; smaller values indicate a smaller residual in this model construction.
Raw Inputs (first=100)Each input series is rebased to 100 at its start; steeper slopes show faster growth on that rebased scale.

Euro Area (EU)

Latest2025-09-30Most recent observation in this panel.
S_M1.527e+07Dispersion and allocation spread.
T_L0.6492Liquidity state index.
Streaming loop area-9.229e+05Latest reading.
U234.3Internal-energy-like model gauge.
X_C8.53e+06Experimental exergy-like diagnostic; not a safety margin.
Maxwell curl Ω1.261e-06Proxy consistency diagnostic.
First-law resid-5.154e+05Residual in the first-law-like construction.

Euro Area (EU) sits in a high-dispersion, mid-range-liquidity regime. Streaming loop area is non-zero; this describes the current open-path geometry. XC is above its lower bound.

Interpretation

S_M & T_LS_M is high, T_L is mid-range as of 2025-09-30
Loop Path MonitorStreaming loop area is non-zero and falling.
X_C DiagnosticExperimental X_C is above its lower bound and falling.
Maxwell-like TestCurl Ω is 1.261e-06 (alerts active).
First-law DecompositionResidual is -5.154e+05 (ΔU minus predicted).

Recent values

date S_M T_L loop_area U dF_C X_C
2024-06-30 1.561430e+07 0.657309 -39836.809331 229.1817 184769.222028 8.615190e+06
2024-09-30 1.566702e+07 0.656243 -22788.261327 231.1112 -52723.337361 8.721642e+06
2024-12-31 1.537254e+07 0.655275 -229092.310572 233.1234 294485.232368 9.002473e+06
2025-03-31 1.551042e+07 0.653218 -70802.220356 233.5788 -137881.695457 8.696593e+06
2025-06-30 1.524578e+07 0.650975 -593128.190370 233.6469 264642.207997 8.797592e+06
2025-09-30 1.527278e+07 0.649214 -922860.649047 234.2539 -27000.995824 8.530374e+06
Advanced diagnostics

Diagnostics – Maxwell-like (window=24)

date dT_dV_at_S dp_dS_at_V maxwell_curl
2024-06-30 -9.813703e-09 0.000001 0.000001
2024-09-30 -1.011786e-08 0.000001 0.000001
2024-12-31 -1.043712e-08 0.000001 0.000001
2025-03-31 -1.040106e-08 0.000001 0.000001
2025-06-30 -1.034614e-08 0.000001 0.000001
2025-09-30 -1.032548e-08 0.000001 0.000001

Out-of-spec / crisis / proxy invalid zone: 2011-12-31 → 2012-03-31, 2022-12-31 → 2023-03-31, 2023-09-30 → 2023-09-30

Diagnostics – First-law

date dU Q_like minus_pV dU_pred firstlaw_resid
2024-06-30 1.7505 -121564.373338 -900839.786715 779275.413377 -779273.662877
2024-09-30 1.9295 34628.695826 318239.518802 -283610.822976 283612.752476
2024-12-31 2.0122 -193110.045527 -26000.821867 -167109.223659 167111.235859
2025-03-31 0.4554 90208.877440 -335489.561347 425698.438787 -425697.983387
2025-06-30 0.0681 -172572.165680 -336084.809937 163512.644257 -163512.576157
2025-09-30 0.6070 17553.594943 -497820.073631 515373.668573 -515373.061573

X_C interpretation: this is an experimental exergy-like transformation. Its sign is not a validated safety margin, forecast, or policy threshold.

Euro Area (EU) Selected Input Series

Role Series ID Source Start Title
money_scale_eu ECB_BSI_TOTAL_ASSETS config 1999-01-01 Eurosystem Total Assets (ECB Data Portal)
base_proxy_eu ECB_BSI_TOTAL_ASSETS config 1999-01-01 Eurosystem Total Assets (ECB Data Portal)
yield_proxy_eu IRLTLT01EZM156N config 1999-01-01 Euro Area Long-term Yield
S_M & T_LS_M≈15272782.23 (high), T_L≈0.65 (high) These are model-specific historical positions; no policy or overheating threshold is validated.
S_M by categoryLatest dispersion split: Productive 30%, Financial 25%.
Loop Path MonitorStreaming loop area ≈-922860.649 (non-zero and falling).
X_C DiagnosticX_C≈8530374.18 (low), falling; this is an experimental diagnostic, not validated headroom.
Free Energy (F_C)F_C≈4542881.71 (low) and rising on the configured model scale.
ΔF_C (change)ΔF_C≈-27000.996; the latest model change is negative and falling.
Internal Energy (U)U≈234.25 / high / rising on the configured model scale.
Surplus/Shortage (ΔF_C)Positive component≈0.00, negative component≈13389542.49; negative is larger.
Maxwell-like TestMaxwell curl Ω≈0.000 (outside the descriptive 3-MAD band).
First-law DecompositionResidual≈-515373.062 trending falling; smaller values indicate a smaller residual in this model construction.
Raw Inputs (first=100)Each input series is rebased to 100 at its start; steeper slopes show faster growth on that rebased scale.

United States (US)

Latest2025-12-31Most recent observation in this panel.
S_M8.78e+06Dispersion and allocation spread.
T_L0.5618Liquidity state index.
Streaming loop arean/aLatest reading.
U4.314e+04Internal-energy-like model gauge.
X_C3.094e+06Experimental exergy-like diagnostic; not a safety margin.
First-law residn/aResidual in the first-law-like construction.

United States (US) sits in a high-dispersion, low-liquidity regime. Streaming loop area is near zero; this describes the current open-path geometry. XC is above its lower bound.

Interpretation

S_M & T_LS_M is high, T_L is low as of 2025-12-31
Loop Path MonitorStreaming loop area is near zero.
X_C DiagnosticExperimental X_C is above its lower bound and rising.
First-law DecompositionResidual is n/a (ΔU minus predicted).

Recent values

date S_M T_L loop_area U dF_C X_C
2024-09-30 9.558243e+06 0.567905 NaN 41842.393 228077.811820 NaN
2024-12-31 9.297824e+06 0.554531 NaN 41754.849 260331.908928 NaN
2025-03-31 9.076064e+06 0.547903 NaN 41955.413 221960.263899 3.000031e+06
2025-06-30 8.944415e+06 0.551169 NaN 42258.354 131952.505465 NaN
2025-09-30 8.853911e+06 0.555254 NaN 42687.286 90932.814859 NaN
2025-12-31 8.779677e+06 0.561753 NaN 43143.826 74690.407494 3.094459e+06
Advanced diagnostics

Diagnostics – Maxwell-like

Insufficient data (requested window=24).

Diagnostics – First-law

date dU Q_like minus_pV dU_pred firstlaw_resid
2009-09-30 -211.585 -4.298016e+04 -1.723222e+03 -4.125694e+04 4.104535e+04
2010-12-31 -69.652 2.614713e+04 4.164240e+03 2.198289e+04 -2.205254e+04
2015-09-30 287.778 4.931258e+03 -9.512016e+01 5.026378e+03 -4.738600e+03
2020-06-30 13170.861 2.735555e+06 1.337591e+06 1.397964e+06 -1.384793e+06
2020-09-30 216.058 2.630554e+05 -1.724471e+05 4.355025e+05 -4.352864e+05
2021-12-31 769.644 3.106522e+05 -9.674593e+03 3.203268e+05 -3.195572e+05

X_C interpretation: this is an experimental exergy-like transformation. Its sign is not a validated safety margin, forecast, or policy threshold.

United States (US) Selected Input Series

Role Series ID Source Start Title
money_scale_us WALCL config 1990-01-01 Federal Reserve Total Assets
base_proxy_us WALCL config 1990-01-01 Federal Reserve Total Assets
yield_proxy_us DGS10 config 1990-01-01 US 10Y Treasury Yield
S_M & T_LS_M≈8779676.92 (mid-range), T_L≈0.56 (low) These are model-specific historical positions; no policy or overheating threshold is validated.
S_M by categoryLatest dispersion split: Q Pay 35%, Q Firm 30%.
Loop Path Monitor
X_C DiagnosticX_C≈3094459.35 (low), rising; this is an experimental diagnostic, not validated headroom.
Free Energy (F_C)F_C≈3153179.36 (mid-range) and rising on the configured model scale.
ΔF_C (change)ΔF_C≈74690.407; the latest model change is positive and falling.
Internal Energy (U)U≈43143.83 / high / rising on the configured model scale.
Surplus/Shortage (ΔF_C)Positive component≈0.00, negative component≈7782260.72; negative is larger.
First-law DecompositionResidual≈-319557.193 trending falling; smaller values indicate a smaller residual in this model construction.
Raw Inputs (first=100)Each input series is rebased to 100 at its start; steeper slopes show faster growth on that rebased scale.
Inputs summary
Japan (JP) Money scale: BoJ Total Assets (as money proxy) (config, since 1995) Base: BoJ Total Assets (config, since 1990) Long-term yield: Long-term JGB yield (FRED) (config, since 1995) asset_proxy: BoJ Total Assets (asset side proxy) (config, since 1995) energy_proxy: Nominal GDP (energy component proxy) (config, since 1990) depth_proxy: Private non-financial sector credit (depth stock) (config, since 1990) turnover_proxy: Japan M2 (use as liquidity turnover proxy) (config, since 1990)
Euro Area (EU) Money scale: Eurosystem Total Assets (ECB Data Portal) (config, since 1999) Base: Eurosystem Total Assets (ECB Data Portal) (config, since 1999) Long-term yield: Euro Area Long-term Yield (config, since 1999)
United States (US) Money scale: Federal Reserve Total Assets (config, since 1990) Base: Federal Reserve Total Assets (config, since 1990) Long-term yield: US 10Y Treasury Yield (config, since 1990)
Reference events

Event bands are used as reading context for the visible chart window.

JPCrisis
Japanese banking cleanup and deflation tail1998-04-01 to 2003-03-31

Balance-sheet repair and persistent deflation pressure after the late-1990s banking crisis.

ALLBubble
IT Bubble unwind2000-03-01 to 2002-10-31

Nasdaq-led correction and post-bubble deleveraging phase.

USBubble
US housing and subprime credit boom2004-06-01 to 2007-06-30

Housing-led leverage build-up before the subprime unwind.

ALLCrisis
Lehman / Global Financial Crisis2008-09-15 to 2009-06-30

Global funding stress after the Lehman Brothers collapse.

USPolicy
Fed QE1 and crisis backstop2008-11-25 to 2010-03-31

Large-scale asset purchases and emergency support during the post-Lehman stabilization phase.

EUCrisis
Euro sovereign debt crisis2010-04-01 to 2012-07-31

Euro-area sovereign and bank stress centered on peripheral spreads and balance-sheet repair.

JPCrisis
Great East Japan Earthquake2011-03-11 to 2011-09-30

Supply-chain disruption and reconstruction shock after the March 2011 earthquake and tsunami.

EUPolicy
Draghi / OMT stabilization window2012-07-26 to 2014-06-30

Backstop signaling and sovereign-spread compression after the whatever-it-takes commitment.

JPPolicy
Abenomics and QQE launch2013-04-04 to 2014-12-31

Regime shift toward large-scale easing and reflation management under the Bank of Japan.

EUPolicy
ECB asset purchase expansion2015-03-01 to 2018-12-31

Extended quantitative easing and balance-sheet support during low-inflation stagnation.

JPPolicy
Yield Curve Control introduction2016-09-21 to 2017-12-31

Early phase of yield-curve control as the BoJ shifted from quantity targets to rate-shape control.

ALLPandemic
COVID-19 pandemic shock2020-02-01 to 2021-03-31

Pandemic shutdowns and emergency stabilization policies.

ALLPolicy
Inflation and rate shock2022-02-01 to 2023-03-31

Energy shock and rapid tightening cycle across major central banks.

USCrisis
US regional bank stress2023-03-01 to 2023-05-31

Deposit flight and funding stress around Silicon Valley Bank and peer institutions.

Data sources
ID Title Provider Country Freq Units Enabled
JPNASSETS BoJ Total Assets FRED / BoJ JP Monthly JPY (level) yes
MYAGM2JPM189S Japan M2 (Monthly) FRED / BoJ JP Monthly Index/Level yes
IRLTLT01JPM156N Long-term JGB Yield FRED JP Monthly % yes
DGS10 US 10Y Treasury Yield FRED US Daily % yes
WALCL Federal Reserve Total Assets FRED / Federal Reserve US Weekly USD (level) yes
WM2NS US M2 (Not Seasonally Adjusted) FRED / Federal Reserve US Monthly USD (level) yes
ECBASSETS ECB Total Assets FRED / ECB EA Weekly/Monthly EUR (level) no
MABMM301EZM189S Euro Area M3 (Broad Money) FRED / ECB EA Monthly Index/Level no
IRLTLT01EZM156N Euro Area Long-term Government Bond Yields FRED / OECD EA Monthly % no
DE10Y Germany 10Y Bund Yield (proxy) FRED / Deutsche Bundesbank DE Daily % no
BOJ_LA01_CREDIT_DESTINATION_JP Loans and Bills Discounted by Sector Bank of Japan JP Quarterly 100 million yen yes
ECB_BSI_TOTAL_ASSETS Total assets of the Eurosystem, stocks European Central Bank EU Monthly EUR millions yes
CRDQJPAPABIS BIS Private Non-financial Credit (Japan) BIS JP Quarterly JPY billions yes
CRDQEZAPABIS BIS Private Non-financial Credit (Euro Area) BIS EA Quarterly EUR billions yes
CRDQUSAPABIS BIS Private Non-financial Credit (United States) BIS US Quarterly USD billions yes
BAMLH0A0HYM2EY ICE BofA US High Yield Index Option-Adjusted Spread ICE / FRED US Daily percentage points yes
DEXJPUS USD/JPY Exchange Rate (JPY per USD) Federal Reserve / FRED US/JP Daily JPY per USD yes
VIXCLS CBOE Volatility Index (VIX) CBOE / FRED US Daily Index yes
MOVE ICE BofA MOVE Index ICE / FRED US Daily Index yes
IR3TJB01JPM156N Japan 3-Month Interbank Rate FRED / OECD JP Monthly % no

Data & Definitions

Column Name Meaning Unit/Scale
date Date End-of-month timestamp YYYY-MM-DD
S_M Money entropy Mixing entropy index
T_L Liquidity state Composite flow proxy index
p_C Credit pressure Conjugate to V_C index
V_C Credit volume Capacity proxy index
U Internal-energy-like gauge Model transformation index
F_C Free energy F_C Helmholtz proxy index
X_C X_C diagnostic Experimental exergy-like transformation index
loop_area Loop area Streaming open-path area index^2

Formulas

  • Free energy: $F_C = U - T_0\, S_M$
  • Change in free energy: $\Delta F_C(t) = F_C(t) - F_C^{\mathrm{ref}}$
  • Positive/negative change split: $X_C^{+}(t) = \max(0,\, \Delta F_C(t)),\; X_C^{-}(t) = \max(0,\, -\Delta F_C(t))$
  • First-law (discrete approximation): $\Delta U \approx \bar T\, \Delta S - \bar p\, \Delta V$
  • Maxwell-like relation (rolling local linear regression): $\left. \partial T / \partial V \right|_S + \left. \partial p / \partial S \right|_V \approx 0$