The Deterministic Self-ordering Fractal Growth Pathway to the 11 Aug 2025 Global Equity Peak Valuation and the Crash Fractal Pathway to the Initial 10 Sept 2025 Crash Nadir Low

On 3 Sept 1929, the DJIA average reached a peak valuation of 381.17. Ninety-six years later (97 by fractal count) on 23 July 2025, the DJIA reached a peak valuation of 45073.63, about 118 times the previous century’s earlier peak valuation. The average US house in 1929 was about 6000 US dollars and in 2025 about 515000, a comparable 85.5 times fold increase in valuation. The DJIA valuation peak in 1929 was near the close of a US 1807 to 1932 :: 36/90 year first and second fractal series … and the peak valuation in 2025 near the close of a US 1982 to 2026 13/33 year first and second fractal interpolated series, part of the greater US 1807 36/90/90/54 year :: x.2.5x/2.5x/1.5x 4-phase fractal series with a 90 year third fractal peak in Nov 2021, propelled yet higher in valuation in 2024 and 2025 by unprecedented US peacetime deficit to GDP Covid spending of about 15% and 12%, respectively, in 2020 and 2021. Global equity peak valuation, represented by ACWI, which includes Nvidia, the latter now the #1 market cap company at 4.46 trillion, about 15% higher than #2 Microsoft, reached an intraday peak valuation (similar to Nvidia’s ending daily close) on 8 August 2025 with an expected final minutely and hourly gapped peak blow-off valuation on 11 August 2025 for both ACWI and Nvidia. Going into a population-overdebt-burdened-related, asset-highest-ever-valuation-related, highest-consumer-product-cost(except vehicle fuel), tariff-and-US consumer-paid-for-related … recession … Nvidia’s PE ratio is currently about 59 and Microsoft’s 38, both perfectly valued on a daily basis, but grossly overvalued in the long term credit cycle basis. From the 27 Oct 2023 low the Global Equity ACWI propelled by historical deficit to GDP annual credit/money expansion followed a 3 phase x/2.5x/2.5x maximum valuation growth fractal progression of 55/139/136 days followed by a 4 phase 5/13/11/7 day decay fractal series ending 7 April 2025. Since 7 April 2025, valuation growth has occurred in two 3-phase fractal series: a 10/25/20 day :: x/2.5x/2x series ending 23 June 2025. And from this 23 June relative nadir a 7/15/14 of 15 day 3-phase growth fractal series has taken the ACWI to a double top peak valuation on 8 August 2025. The 2nd 15 day 2nd fractal subseries is a curvilinear blow-off of 4/8/5 days :: x/2x/1.5x’. The final 14 of 15 day 3rd fractal subseries was self-assembled into a 3/7/6 of 7 day fractal subseries with a characteristic nonlinear lower low gap between day 6 and 7 of the 7 day 2nd subfractal and starting 1 Aug 2025 a self-ordered 6 day growth series to 8 August ensued. A final 7 day 3rd subfractal blow-off peak valuation on 11 August 2025 will result in a 23 June 2025 to 11 August 7/15/15 day :: x/2-2.5x/2-2.5x 3-phase growth final blow-off fractal series. From Friday 1 August 2025 ACWI has self-ordered into a 6/15/15 hour 3 phase growth series and is followed by a self-assembly 3/7/1 of 5-7 hour blow-off series. A gap higher at the opening on 11 August 2025 with a possible close near the low of the day would confirm this final self-assembly peak series. From the 11 August peak a 4/8/8/5 day 4-phase fractal decay series would take the ACWI to a 10 September 2025 initial crash nadir congruent with a Chinese property crash represented by the Shanghai property index of a April 2025 nadir 4 phase fractal series of 16/36/36-37/22-23 days. Fractal Charts to follow …

25 July 2025 was the 1982 13/32 of 33 year :: x/2.5x Global Equity Peak Valuation ... Now the Initial Nonlinear Crash with an Interim Nadir on 4 Sept 2025 ...

The 60 trillion dollar equivalent Chinese Property market, the total value of crypto proxies, AI proxies, and the ACWI Global index have all reached their maximum valuations for this global macroeconomic asset-debt credit cycle starting in 1982. After the nonlinear crash devaluation of all asset class valuations(except long term debt instruments), the US central bank will rapidly lower interest rates, causing one final lower lower high valuation with a final collapse in Sept to November of 2026. ACWI peak valuation 25 July 2025 with expected nadir 4 Sept 2025.

Chinese Property Fractal Monthly and Daily Decay:

Bitcoin Proxy GBTC Monthly and Daily:

From the 7 April 2025 nadir valuation,the 26 July 2025 Current Lammert Fractal Self-0rdering Observed Progression, the predicted progression, the predicted peak valuation August 2025 date and the predicted Oct 2025 crash valuation low date.

The Asset-Debt macroeconomic grows and decays it assets' valuation in a self-assembly well defined fractal manner. From the 1807 low the US hegemony macroeconomic asset-debt system has self-ordered the growth and decay of its asset valuations in a time ordered fractal manner of x/2.5x/2.5x with nadirs in 1842-43 and 1932 and a peak valuation in Nov 2021 following a 36/90/90 year fractal proportionality. The conclusion of a x/2.5x/2.5x/1.5-1.6x 4-phase Lammert fractal series would terminate in 2074-2077. Valuation growth has extended beyond the Nov 2021 90 year 2.5x 3rd fractal peak because of the historical debt-GDP % government peacetime spending secondary to Covid. After a 32 year crash low in October 2025, an interpolated 1982 13/33 year :: x/2.5x US fractal series is expected to conclude in 2026 with 1987-like 1-2 day collapse (%-wise worse than 1987) in asset valuation.

Projected Lammert Fractal Growth and Decay from the ACWI Global Equity ETF 7 April 2025 Nadir

After the 15 July 2025 ACWI Global Equity Valuation Peak or Secondary High Peak, A Crash Devaluation Will Occur Over 18 trading days … The Fractal Progression of a US Real Estate Composite Proxy: VNQ …

The Buffet indicator, total equity market cap to GNP, shows equity valuations are at a historical bubble high at about 208%. This is especially remarkable because of the relatively high ten year US Note interest yields. In April the last reported S&P CoreLogic Case-Shiller index was 329.608, also a historical high valuation, in spite of relatively high mortgage rates . From its 7 April 2025 nadir valuation, ACWI, the global equity composite proxy, is following a 10/25/20 day :: x/2.5x/2x 3-phase fractal series followed by a 3/8/7 day x/2.5x/2.5x final blow-off ending with a targeted all-time peak (or secondary peak to the current 10 July peak) valuation on 15 July 2025.

From this 15 July 2025 historical global peak or secondary peak valuation, a historical initial crash devaluation will occur over 18 trading days completing a 19 February 2025 prior high 34 day (x) (5/13/12/7day) / /7 April 68 day 15 July 2025 peak (2x) and 85 day 2.5x nadir 34/85 day 1st and 2nd fractal series.

VNQ, a proxy for composite US real estate valuation, shows two series of 3-phase fractal series progressions from the March 2020 low: a 8+/24/14 months :: x/2.5x/1.5x series, followed by a 7/16 of 17/14-17 month :: x/2.5x/2-2.5x series.

On a weekly basis the second 3-phase series 7/16 of 17/14-17 month is a 29//(13/28/28 of 32 )//58-71 week :: x/2.5x/2-2.5x fractal decay series ending near the US 2026 midterm elections.

Fractally, 16 July 2025 is the 1982 13/32 of 33 year ACWI global blow-off (high and lower high) peak valuation for global equities, crypto's, the Bank of Shanghai, and the Shanghai property index.

It’s only math after all. And the Chinese property Index tells it all for a (global) deflationary collapse … For the ACWI from the 7 April 2025 low:10/25/20 days :: X/2.5x/2x and 3/8/8 days:: x/2.5x/2.5x, For Bitcoin’s proxy: GBTC from the 2015 low: 14/28(6/12/12) quarters :: x/2x and from the Dec 2023 low 25/62/50 weeks x/2.5x/2x … For the Bank of Shanghai from the Dec 2023 low: 28/56 weeks :: x/2x … And for the Shanghai property index from the April 2024 low: 16/37/18 days…

The Nikkei Yearly, Monthly, and Daily Fractal Series

The US 1982 13/33 year fractal cycle ending in 2026 is conjoined with the Nikkei's fractal growth which began from post WW2 humble beginnings in 1949 to a 1989/1990 behemoth peak valuation along with Japanese real estate, far above the inflation adjusted recent 2024-2025 peak valuations. Japan's unique six sigma error manufacturing, has created high quality items which have resulted in an about neutral import/export trade balance over 40 years. Number 45-47 president's tariffs on Japanese goods represent an act-of-war accelerant to an inevitable 2026 global economic deflationary collapse. The SPX after a 7 April 10/25/19-20 day :: x/2.5x/2x fractal series, extended its growth valuation in a 2/5/5 day manner peaking on 3 July 2025. The 5/13/12/7 day 4-phase decay fractal series from the 19 Feb 2025 previous peak valuation concluded a 27 Oct 2023 4/8/9 month fractal series, part of a 4/6/9/6 month fractal series ending in September 2025. The Nikkei from its 1949 incipient base fractal of 19 years is following a 19/42/37-42/25-27 year series ending synchronistically with the US 1807 36/90/90/54-57 year :: x/2.5x/2.5x/1.5-1.6x 4-phase hegemonic fractal series.

A Nikkei 2008 4/8/9 year 19 year crash nadir in Sept-Oct 2026 will be followed by a 18-23 year peak valuation supported by global use of MMT expansion of individual sovereign currency providing support for global retirees and causing historical, albeit, measured inflation. The monthly Nikkei fractal projections from the March 2020 Covid nadir low is shown below.

The daily projections from the 7 April 2025 low in completing the 24 month second fractal of a terminal 11/24/14-15 month :: x/2-2.5x/1.5-1,6xi fractal series is shown below.