Blow-off Self Ordering Lammert Fractal Peak Valuation 19-22 Sept 2025 and The Crash Low 3-6 October 2025

The Nikkei, The ACWI, The SPX , the QQQ, et. al. - are all undergoing deterministic self-ordering terminal fractal growth to a blow-off peak valuation on 19-22 September 2025 with an expected crash low on 3-6 October 2025. The central banks of the world will rapidly lower federal interest rates to near zero over the ensuing months with final lower lower high of composite equities in about 125-126 trading days after the 3-6 October 2025 crash low. A final crash then will be spectacularly fast (like 1987) and devastating. The fiscal year 2025 2 trillion dollar deficit spending which provided unneeded greater wealth to the wealthiest and bonuses and employment for those gathering illegal aliens made ubiquitous by the bad policies of the preceding administration, will do little to promote job creation for American service workers, now paying considerable import taxes to support that deficit. At the end of the 1982-2026 13//33 year :: x/2.5x 1st and 2nd fractal series, the world will become a much more dangerous place as many citizens are unable to service personal debt load.

Current Fractal Self-Assembly Model: The Global 5 Sept 2025 Equity Peak Valuation and 4/10/10 day :: y/2.5y/2.5y 6 October 2025 Incipient 3-Phase Fractal Series Crash

The recent monthly US job creation and the 4.3 % unemployment rate are consistent with an incipient serious recession made worse by the sudden disruption of globalization, world trade, and international interdependent manufacturing . The US 80% service sector economy is at the edge of a 1982 13/32 of 33 year 1st and 2nd fractal series with expected nonlinear devaluation of asset prices in the terminal portion of the 33 year 2nd fractal. The 2020 Covid dead horse macroeconomy was re-animated by repetitive annual quasi-WW2 US % GDP deficit spending and AI, crypto, real estate, software, and social media exuberant malinvestment. The PE ratio's for palantir stood at 508.84 on 5 September 2025 The final lower high fractal growth series from the 27 Oct 2023 ACWI low appears to be a 120/252/251-252 day :: x/2-2.5x/2-2.5x growth series. The 252 day 3rd fractal appears to be composed two 126 day fractal series, the 1st ending 6 October 2025.

Back to Fractal Grouping Basics: 5 Sept Peak Global Equity Composite Valuation; 29-30 Sept 2025 Incipient Crash Nadir Valuation

Fractal groupings are determined by the underlying trendline from the first time unit to the last time unit of the grouping whereby all interim valuations are above that trendline. From the 7 April 2025 low there are three identifiable fractal groupings consistent with this definition. 1: a 3-phase 10/25/20 day :: x/2.5x/2x growth fractal grouping 2: a 3-phase 6/12/13 day :: x/2x/2-2.5x growth fractal grouping and 3. a potential 4-phase 7/13 of 14/14/9- 10 day :: x/2x/2x/1.5x or 1.5xi growth and crash decay fractal grouping ending 29 or 30 September 2025. A peak global equity composite valuation day on 5 Sept 2025 represents day105 from the 7 April low composed of two 53 day sequences 10/25/20 days and {6/12/13 and 7/14/6 of 14 days} A Primer on Quantitative Time-based Self-Assembly Lammert Fractal Growth and Decay of Valuations of The Asset-Debt Macroeconomic System’s Composite Equities Qualitatively …on the longest time-unit cycles (years) (e.g. 1807 36/90/90/54-57 years :: x/2.5x/2.5x/1.5-1.6x and 1982 13/32 of 33/32-33/20 years x/2.5x/2.5x/1.5-1.6x credit expands via governmental, corporate, and citizen debt; assets are produced and over-produced , overvalued and over-consumed; consumers reach maximum debt loads; the population of possible traders/invested are fully invested and composite equity asset valuations reach a singular fractal time-unit (minute, hour, day, week, month) peak valuation and thereafter undergo decay; recessions occur with weakening demand, interest rates fall; excess debt undergoes default and restructuring; individual and corporate bankruptcies occur; and composite equity (and commodity) asset valuations eventually reach a singular fractal time-unit nadir. The cycle thereafter repeats itself. On smaller time-unit fractal cycles (quarters, months, weeks, days, hours, 15-minute/ 5 and 1-minute) : trader/investor population saturation of asset buying occurs ending in a transient peak valuation .. followed by trader/investor population saturation end selling resulting in a transient nadir valuation. These peaks and nadirs occur in one of the two quantitative fractal patterns as above. Empirically composite equity asset valuation growth and decay cycles occur in 2 modes(laws) of mathematical self-organizing, self-assembly time-based fractal series: a 4-phase fractal series: x/2-2.5x/2-2.5x/1.5-1.6x and a 3-phase fractal series: x/2-2.5x/1.5-2.5x In the 4-phase fractal series sequential elements are termed: the 1st, 2nd, 3rd, and 4th fractals and in the 3-phase fractal series: the 1st, 2nd, and 3rd fractals. The 2nd fractal is characterized by terminal gapped nonlinear lower lows between the 2nd fractal’s terminal 2x and 2.5x time period. (These gapped nonlinear lower lows can be observed in weekly valuation units for the DJIA between 1929 and 1932, the terminal portion of the US 90 year 2nd fractal; within the last three day before the terminal 5 August 2024 139 day 2nd fractal low occurring in an interpolated ACWI/SPX 27 October 2023 55/139/135-136 day (SPX-ACWI respectively) :: x/2.5x/2.5x valuation maximum growth series ending 18/19 February 2025: and can be expected within the last months on a daily and weekly basis of the current 32 of 33 year 2nd fractal of the interpolated 1982 13/32 of 33 year 1st and 2nd fractal series. (The 27 October 2023 dominant fractal series appears to have a 119 first fractal base, whereas the 55/139/136 day 3 phase growth series was a secondary interpolated series). With the exception of the 3rd fractal in the 4-phase series whose fractal grouping is determined by its terminal high or final lower high peak valuation, fractals (fractal groupings) are determined by the nadirs of the first and last time unit in the grouping with all intervening valuations above the connecting nadir trend-line.

Current Global Equity ACWI Fractal Model: 5 Sept 2025 blow-off peak valuation; 25 September2025 Crash low; 3-6 October 2025 lower low or higher low.

The Macroeconomic System is composed of assets with changing daily valuations propelled higher or lower by an expanding or contracting GDP and ongoing debt obligations which represent both assets and liabilities. Money and debt creation are caused by the expansion of private, corporate, and government debt with central banks and private banks acting as the fortuitous intermediaries(and as a primary source with regard to the former element) accommodating 'credit worthy' loan applicants. GDP grows as a result of money and debt creation. In recessions increased government borrowing (and central bank QE) acts as a counter-cyclical measure. Governments backed by nuclear-deliverable and capable military assets offer the greatest reassurance of loan repayment. With an accommodating central bank and ongoing and future social contract promises to the 99% of private citizens, the US government will, per force, create more debt and money expansion than corporations(the billionaire class proxies) and the private sector combined. The end of prominent of major economic cycles and recessions occur for the pleurality of private citizens when the valuation of assets are too high, the personal debt load is collectively too great, the liabilities of held and sought after assets, e.g., property taxes, new home and car loans, and the cost ongoing assets of daily living exceed the ability to pay or to further expand private debt. After lofty overvaluation of asset prices, these devaluations occur periodically and in a nonlinear fractal manner. The major self-ordering US fractal cycle is an 1807 36/90/90/54-57 year :: x/2.5x/2.5x/1.5-1.6x cycle with nadir commodity/equity prices in 1807, 1842-32, 1932, and expected in 2074-2077 with a 90 year 3rd fractal peak in November 2020 extended to higher highs by 7-15% annual US deficit to GDP spending in 2020 -2025. After a 1932 10-11/21-22/21-22 :: x/2x/2x fractal growth cycle ending in 1982, the dominant interpolated fractal cycle from 1982 is 13/32 of 33/33/20 years ending in 2077. A March 2020 9/23/14 month :: x/2.5x/1.5x fractal cycle was followed by a 27 Oct 2023 119/ 243 day cycle ending 7 April 2025. Nonlinearity in the 2nd 243 day 2nd fractal is seen between days 240 and 241 and days 241 and 242 with a final low on day 243 7 April 2025. From the 7 April 2025 nadir an ACWI 105 day 53/53 day peak is expected to occur on 5 September 2025 composed of two sequential fractal growth series of 10/25/20 days and 10/20/25 days. A 5 Spet 2025 15-22 day crash series of 5/11/7 days will take the ACWI to a 11 day 2nd fractal low on 25 September 2020 with a lower low or higher low on day 7/8 of the 3rd fractal on 3-6 October 2025. With the market (and the fed following) creating lower interest rates, a 119 day rebound is expected with a final crash of 15-21/22 days with a low in March/April of 2026.

The ACWI 22 Aug 2025 Peak Valuation and the Initial 25-26 September 2025 Crash Nadir.

In the asset-debt macroeconomic system there is an underlying self-ordering mathematical fractal pattern in composite asset valuation growth to composite asset peak valuation and thereafter decay to composite asset nadir valuation. Governments and central banks can expand credit and the money supply but are constrained by inflation of assets affecting the pyramid base population of the system. Overvaluation of assets represents a limiting barrier to further consumption in the face of constrained base population job availability and the nonlinear limiting factor of ongoing financial stress of debt servicing and further debt expansion. The mathematical self-assembly deterministic fractal process in the tradeable markets represents the optimal growth and decay investment pathway in the global asset debt macroeconomic system - just as does the steady state of the self-assembly process of the growth and decay of galaxies and black holes occur in the infinite universe. In the current system, 40 years of billionaire-led. corporation-led, both US political party led globalization, lowest wage highest corporation profit led, and resulting international production, transport supply chains, and assembly ... are being suddenly rent apart by US tariffs politically intended to bolster American internal product line manufacturing. This populist political anomaly is coincident with the timing of the 1982 credit cycle began by Volcker's 13-15.5% 3 month interest rates which has been fueled by gradually declining interest rates and extraordinary US peacetime percentage GDP-deficit spending. A 1982- 2026 13/33 year x/2.5x fractal credit cycle is an interpolated part of a greater US 1807 36/90/90/54-57 year x/2.5x/2.5x/1.5-1.6x. The 2020 15% US deficit to GDP COVID money expansion economy began with a nadir in the global composite ACWI equity index in March 2020. It is hard to imagine how a president whose name was at the bottom of the treasury checks sent to unemployed individuals resting at home and now making more than their usual salary, lost the Nov 2020 election. The current fractal projection from the 27 Oct 2023 low is: 118-119 //243//119-120 and 124 = 243//147 days :: x/2x+/2x+/1.5x'. An ACWI peak is predicted on 22 Aug 2025 followed by a 5/10-11/10-11 day 3 phase crash decay fractal series ending near 25-26 September 2025. From the April 2025 low a 10/25/20 day :: x/2.5x/2x growth fractal series is followed by a x/2x/2x' growth fractal series of 10/20/16 days with x' = 8 days for the observable 20 day 2nd fractal and the 3rd fractal 2x' or 16 days, reaching a peak on 22 Aug 2025. A growth fractal of 119-122 days is expected with falling US fed funds rates and lowered US interest rates with the US 3 month rate reaching near zero. The following ACWI 119-122 high will not exceed the 22 Aug 2025 high. A nonlinear collapse will the result in a sequential 124 day or total 2x+ 243 day nadir. The 147 day 1.5 x' 4th fractal double low nadir will occur near the 2026 midterms. Tariffs will be perceived as the post hoc ergo propter hoc etiology of an otherwise natural nadir valuation fractal progression.

Two Sequential Self Ordering Lammert Fractal Series From the 7 April 2025 ACWI Global Equity Nadir to a 26 August 2025 Peak Valuation and thereafter to the 11 September 2025 Initial Crash Nadir.

What is the correct and observable self assembly fractal pathway to the 1982 13/33 year global equity peak valuation and thereafter to the incipient crash low? The gapped nonlinear lower low on 1 August 2025 identifies the preceding 20 day fractal grouping as a 2nd fractal. The ideal base for a 20 day 2nd fractal is 8 days = x'. The observable base is 10 days starting on 23 June, the same nadir day that concluded a 7 April 2025 10/25/20 day :: x/2.5x/2x fractal growth series. The peak range of a 3rd fractal with an 8 day base is 2-2.5x' or 16-20 days with a 4th fractal of 1.5x' or 12 days. The 3rd fractal appears to be a 1 August 2025 4/7 of 8/8 day fractal growth series with a peak on day 18 or 26 August 2025. A 12 day 4th fractal crash decay would place the crash nadir on 11 September 2025.

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.

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.

The Deterministic Self-ordering 7 April 2025 17/37/37/22-23 day :: x/2-2.5x/2-2.5x/1.5x' 4-phase Lammert Growth and Decay Fractal series Pathway to the 12 Aug 2025 Global Equity Peak Valuation and the 4th Crash Fractal to the Initial 10-11 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.

This was 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. The Nikkei reached its blow-off top on 12 Aug 2025 at 42999.71, some 11% higher than its 1989 near 39000 peak occurring some 36 years ago carrying the Global Equity index ACWI likewise to its all time peak valuation on 12 August 2025. 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, ACWI valuation growth has occurred in a 17/37/37 day 12 August 2025 peak valuation with a 21-22 day crash decay series ending 10-11 September 2025.

The ACWI 12 August peak valuation to a 10-11 September 2025 initial crash nadir is 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. The 55 trillion Chinese property bubble is the defining element of the 2025 global equity crash akin to the US 1929 grossly overvalued US equity market.

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.

Lammert Fractal Self-Similarities of Near Maximal Valuation Fractal Growth, Peak Valuation, and Subsequent Fractal Decay

The above daily SPX chart is from midday trading on 27 June 2025 where the SPX gapped to an opening new high valuation exceeding the previous 19 Feb 2025 high, completing a 10/25/24 day x/2.5x/2.5x near maximum growth fractal series. the terminal 4th subfractal of 7 days of the 5/11/10/7 days series would form the base for a 7/15-18/15-17/11 day decay fractal series similar to the 5/13/12/7 days 4-phase decay series from the 19 Feb 2025 previous peak valuation. From The 27 October 2023 SPX low the current fractal model is 4/8/9/3 of 6 months. The above daily 4-phase decay fractal series will complete the 6 month 4th fractal. The fractal model for the Nikkei from its Dec 2022 low is 11/21 of 24/13-14 months following a self similar x/2-2.5x/1.5x' series of March 2020 low of 8/17/11 months. Interestingly GBTC, Bitcoin's proxy, is following the Nikkei latter fractal pathway. The global macroecomomy is, de facto, following collaborative central bank MMT, Modern Monetary Theory, dynamics where central banks can create money and credit via digital computerized manipulation. This activity in the remote past would have been considered fraud, but no more. After a moderate to severe recession with real personal bankruptcies, caused by excessive debt load of private citizens, who, unlike central banks and their first credit user-partners cannot manipulate/create/borrow money, the system will reboot itself with ever higher inflation and wealth disparity.

The Crash 24 June 2025 Nadir : A 23 Oct 2023 x/2.5x/2.5x/1.6x :: 55/139/135/87 day 4-Phase ACWI Terminal Growth and Initial Crash Fractal Sequence.

An ACWI total global equity 7 April 2025 3 phase fractal series 10/25/12 of 20 days :: x/2.5x/2x completes the 27 October 2023 55/139/135/87 day :: x/2.5x/2.5x/1.6x 4-phase fractal series.

The 135 day 3rd fractal peak for ACWI occurred on 18 Feb 2025 initiating the 87 day :: 1.6x 4th fractal with decay fractal series of a 3-phase of 4/8/6 days :: x/2.5x/1.5x followed by a 3/7/8/5 day 4-phase fractal series :: x/2.5x/2.5x/1.6x reaching an initial nadir on 7 April 2025, or day 35 from the 18 February 2025 peak. The 7 April 2025 10/25/20 day fractal series, contributing 53 days to the 87 day 4th fractal contains both the 2025 peak valuation blow-off at 1256.575 on day 12, namely 10 June 2025 of the 20 day 3rd fractal and will proceed to include the nonlinear lower low 3rd fractal day 20 crash nadir on 24 June 2025.

A Primer on Quantitative Time-based Self-Assembly Lammert Fractal Growth and Decay of Valuations of The Asset-Debt Macroeconomic System’s Composite Equities Qualitatively …on the longest time-unit cycles (years) (e.g. 1807 36/90/90/54-57 years :: x/2.5x/2.5x/1.5-1.6x and 1982 13/32 of 33/32-33/20 years x/2.5x/2.5x/1.5-1.6x credit expands via governmental, corporate, and citizen debt; assets are produced and over-produced , overvalued and over-consumed; consumers reach maximum debt loads; the population of possible traders/invested are fully invested and composite equity asset valuations reach a singular fractal time-unit (minute, hour, day, week, month) peak valuation and thereafter undergo decay; recessions occur with weakening demand, interest rates fall; excess debt undergoes default and restructuring; individual and corporate bankruptcies occur; and composite equity (and commodity) asset valuations eventually reach a singular fractal time-unit nadir. The cycle thereafter repeats itself. On smaller time-unit fractal cycles (quarters, months, weeks, days, hours, 15-minute/ 5 and 1-minute) : trader/investor population saturation of asset buying occurs ending in a transient peak valuation .. followed by trader/investor population saturation end selling resulting in a transient nadir valuation. These peaks and nadirs occur in one of the two quantitative fractal patterns as above. Empirically composite equity asset valuation growth and decay cycles occur in 2 modes(laws) of mathematical self-organizing, self-assembly time-based fractal series: a 4-phase fractal series: x/2-2.5x/2-2.5x/1.5-1.6x and a 3-phase fractal series: x/2-2.5x/1.5-2.5x In the 4-phase fractal series sequential elements are termed: the 1st, 2nd, 3rd, and 4th fractals and in the 3-phase fractal series: the 1st, 2nd, and 3rd fractals. The 2nd fractal is characterized by terminal gapped nonlinear lower lows between the 2nd fractal’s terminal 2x and 2.5x time period. (These gapped nonlinear lower lows can be observed in weekly valuation units for the DJIA between 1929 and 1932, the terminal portion of the US 90 year 2nd fractal; within the last three day before the terminal 5 August 2024 139 day 2nd fractal low occurring in the ACWI/SPX 27 October 2023 55/139/135-136 day (SPX-ACWI respectively) :: x/2.5x/2.5x valuation maximum growth series ending 18/19 February 2025: and can be expected within last 20 months on a daily and weekly basis of the current 32 of 33 year 2nd fractal of the interpolated 1982 13/32 of 33 year 1st and 2nd fractal series. With the exception of the 3rd fractal in the 4-phase series whose fractal grouping is determined by its terminal high or final lower high peak valuation, fractals (fractal groupings) are determined by the nadirs of the first and last time unit in the grouping with all intervening valuations above the connecting nadir trend-line.

Lammert Fractals: 27 October 2023 to 13-16 June 2025: ACWI: The Total Global Equity Index 4-phase 55/139/135/82-83 day :: x/2.5x/2.5x/1.5x Terminal Growth and Crash Fractal Series

The final 4-phase fractal series for the world equity index ACWI and completing a 4-phase 27 Oct 2023 to 13-16 June 2025 55/139/135/82-83 day :: x/2.5x/2.5x/1.5x fractal series started on 6 May 2025 after a 3/8/8/5 day :: x/2.5x/2.5x/1.6x 4-phase growth and decay fractal series starting from the nadir on 7 April 2025. On 6 May 2025 ACWI self-assembled in a 3-phase 5/10/10 day :: x/2x/2x blow-off gap higher valuation fashion with 6 June 2025, the 10th day of the 3rd fractal, reaching a high of 126.00, higher than the 18 Feb 2025 peak of about 124.3. The 6 May 2025 fractal series is expected to terminate nonlinearly with a nadir on 13 -16 June 2025, completing a 4-phase 5/10/10/6-7 day :: x/2x/2x/1.5x(1.5x')fractal series.

THE 3 FEBRUARY 2025 SPX PRIMARY CRASH FRACTAL SEQUENCE

The incipient crash fractal sequence of the 1982 13/32 of 33 year 1st and 2nd fractal series which includes the terminal 27 October 2023 55/139/136 day :: x/2.5x/2.5x 19 February 2025 SPX peak valuation is a 3 February 14/32/26-32/20 day :: x/2-2.5x/2x’-2.5x’/1.5x’ 4-phase Lammert Fractal Series.

The Case for a Mathematical Asset-Debt Macroeconomic System: 27 October 2023 to 17 June 2025: A 55/139/136/83 day :: x/2.5x/2.5x/1.5x 4-phase Lammert Fractal Series

The Case for a Self-Assembly Mathematical Asset-Debt System The purpose of this website for the last 20 years has been to demonstrate that the asset-debt macroeconomic system is self-ordered by deterministic elegantly simple mathematical laws of time-based fractal growth and decay of its easily tradable assets. This fractal self assembly process is included as a primer at the end of the post.

The 1807 US hegemony commodity and equity valuations are self-ordered in a series of mostly nadirs and a 3rd fractal peak in a 4-phase x/2.5x/2.5x/1.5x :: 36/90/90/54 year fractal series with lows in 1807/1842-43/1932, a projected low in 2074, and a 90 year 3rd Fractal peak in November 2021. The 2020 US government 3.13 trillion dollar deficit spending that combated Covid represented 14.7 % deficit to GDP spending which was followed by a 2.78 trillion deficit spending or a 11.7% deficit to GDP spending in 2021. This historically high peacetime deficit spending (by comparison 1942 was 12.2%) resulted in a 90 year US 3rd fractal composite equity high in Nov 2021 and a subsequent higher high on 19 Feb 2025.. After an interim low on 27 October 2023, the SPX has followed a 3-phase maximum growth series of 55/139/136 days :: x/2.5x/2.5x with a peak valuation on 19 February 2025 and a secondary lower high peak on day 138 or 2.5x on 21 February 2025. If the SPX follows a similar fractal pattern as the US 1807 4-phase x/2.5x/2.5x/1.5x fractal pattern ending in 2074, the 27 Oct 2023 SPX pattern will end with a interim low on 17 June 2025 or 55/139/136/83 days :: x/2.5x/2.5x/1.5x.

This is an interim low of a interpolated 1982 13/32 of 33 year 1st and 2nd fractal series ending in 2026.

The 139 day 2nd fractal in yellow below shows the characteristic 2nd nonlinear gapped lower lows between days 137 and 138 and between days 138 and 139 of its terminal portion just as described 20 years ago in the main page of the Economic Fractalist.

The 3rd (orange) and 4th(red) fractals are shown in more detail below. After a 3-phase 5 August 2024 18+/48/47 day :: x/2.5x/2.5x growth fractal series, the final blow-off for the SPX occurred in two sequential smaller 3-phase series: a 3/8/6 day :: x/2.5x/2x fractal growth series and a final 3/6/5 day :: x/2x/1.6x series ending with a peak valuation on 19 February 2025.

The 4th fractal is shown below is a composite of 4 sequential fractal series: One: a 19 February 5/13/11/7 day 4-phase decay fractal series with an 11 day interim counter trend growth 3rd fractal and a 7 day 4th decay fractal with gapped lower low nonlinearity between days 4 and 5 and 5 and 6 ending with a nadir on day 7 and 7 April. Two and Three are counter-trend growth series of 2/4/4/3 days and 3/6/8 days ending on 9 May 2025. Four is expected to be similar to the 19 February 2025 4 phase series: a 9 May 4/10/10/6 days series with counter trend growth on the 3rd 10 day fractal and a crash 6 day 4th fractal ending 17 June 2024. See below.

Two interpolated three phase y/2-2.5y/2-2.5y fractal decay series are shown below:

A Primer on Quantitative Time-based Fractal Growth and Decay of The Asset-Debt Macroeconomic System’s Composite Equities Qualitatively …on the longest time-unit cycles (years) (e.g. 1807 36/90/90/54-57 years and 1982 13/32 of 33/32/-33/20 years) credit expands via governmental, corporate, and citizen debt; assets are produced and over-produced , overvalued and over-consumed; consumers reach maximum debt loads; the population of possible traders/invested are fully invested and composite equity asset valuations reach a singular fractal time-unit (minute, hour, day, week, month) peak valuation and thereafter undergo decay; recessions occur with weakening demand, interest rates fall; excess debt undergoes default and restructuring; individual and corporate bankruptcies occur; and composite equity (and commodity) asset valuations eventually reach a singular fractal time-unit nadir. The cycle thereafter repeats itself. On smaller time-unit fractal cycles (quarters, months, weeks, days, hours, 15-minute/ 5 and 1-minute) : trader/investor population saturation of asset buying occurs ending in a transient peak valuation .. followed by trader/investor population saturation end selling resulting in a transient nadir valuation. These peaks and nadirs occur in one of the two quantitative fractal patterns as above. Empirically composite equity asset valuation growth and decay cycles occur in 2 modes(laws) of mathematical self-organizing, self-assembly time-based fractal series: a 4-phase fractal series: x/2-2.5x/2-2.5x/1.5-1.6x and a 3-phase fractal series: x/2-2.5x/1.5-2.5x In the 4-phase fractal series sequential elements are termed: the 1st, 2nd, 3rd, and 4th fractals and in the 3-phase fractal series: the 1st, 2nd, and 3rd fractals. The 2nd fractal is characterized by terminal gapped nonlinear lower lows between the 2nd fractal’s terminal 2x and 2.5x time period. (These gapped nonlinear lower lows can be observed in weekly valuation units for the DJIA between 1929 and 1932, the terminal portion of the US 90 year 2nd fractal; within the last three day before the terminal 5 August 2024 139 day 2nd fractal low occurring in the 27 October 2023 55/139/136 day :: x/2.5x/2.5x valuation maximum growth series ending 19 February 2025: and can be expected within last 14-15 months on a daily and weekly basis of the current 32 of 33 year 2nd fractal of the interpolated 1982 13/32 of 33 year 1st and 2nd fractal series. With the exception of the 3rd fractal in the 4-phase series whose fractal grouping is determined by its terminal high or final lower high peak valuation, fractals (fractal groupings) are determined by the nadirs of the first and last time unit in the grouping with all intervening valuations above the connecting nadir trend-line.

AN ELEGANTLY SIMPLE 3 FEBRUARY 2025 FRACTAL REPLAY OF 1929?

The primary fractal decay series in August 1929 was a 12/29/27 day :: 3-phase x/2-2.5x/2-2.5x fractal series with a 3 Sept 1929 peak valuation on the 6th day of the 29 day 2nd fractal. (Below the 1929 12/29/27 day :: x/2-2.5x/2-2.5x 3-phase Lammert decay series)

It is possible that a similar x/2-2.5x/2-2.5x decay series started on 3 February 2025 with the peak SPX valuation on 19 February 2025, day 12 of the 14 day 1st Fractal. The analogous 1929 3-phase fractal decay series is 14/32/31-33 days :: x/2-2.5x/2-2.5x.

The global macroeconomy is near the end of a 1982 13/33 year :: x/2.5x asset-debt credit (fractal) cycle ending in 2026. This is analogous to the 1807 36/90 year :: x/2.5x Asset Debt 1st and 2nd fractal cycle with a DJIA peak on 3 September 1929 and final nadir on 8 July 1932. On a long term scale the 1842-43 90 year 1929 to 1932 peak to nadir DJIA 90% devaluation has the characteristics of a 2nd fractal nonlinear collapse. The current 1982 13/33 year :: x/2.5x cycle with 32 of 33 years of its 2nd fractal completed and its ongoing 2nd fractal nonlinear collapse is interpolated within the larger US hegemonic 1807 36/90/90/54-57 year :: x/2.5x/2.5x/1.5-1.6x 4-phase fractal series ending in 2074 – 2077 with the 1932 90 year 3rd fractal peaking on 8 November 2021. (see primer below)

After the 2026 nadir, the follwing 33 years will be characterized by further US financialization of debt, new money, and new credit creation and development of new financial instruments such as 50 year loans. While the current administration’s policies will promote a departure from the dollar to other possible exchange items, America’s prior defense spending, role as a nuclear superpower, and AI and robotics capabilities, will likely carry the fraying US hegemony for another two or three decades.  The peak for the SPX of the 1982 13/33 year cycle occurred on 19 Feb 2025 with the final lower high on 21 February or day 138 of a 27 October 2023 55/139/138 day :: x/2.5x/2.5x maximum 3-phase growth series.

A Primer on Quantitative Time-based Fractal Growth and Decay of The Asset-Debt Macroeconomic System’s Composite Equities Qualitatively …on the longest time-unit cycles (years) (e.g. 1807 36/90/90/54-57 years and 1982 13/32 of 33/32/-33/20 years) credit expands via governmental, corporate, and citizen debt; assets are produced and over-produced , overvalued and over-consumed; consumers reach maximum debt loads; the population of possible traders/invested are fully invested and composite equity asset valuations reach a singular fractal time-unit (minute, hour, day, week, month) peak valuation and thereafter undergo decay; recessions occur with weakening demand, interest rates fall; excess debt undergoes default and restructuring; individual and corporate bankruptcies occur; and composite equity (and commodity) asset valuations eventually reach a singular fractal time-unit nadir. The cycle thereafter repeats itself. On smaller time-unit fractal cycles (quarters, months, weeks, days, hours, 15-minute/ 5 and 1-minute) : trader/investor population saturation of asset buying occurs ending in a transient peak valuation .. followed by trader/investor population saturation end selling resulting in a transient nadir valuation. These peaks and nadirs occur in one of the two quantitative fractal patterns as above. Empirically composite equity asset valuation growth and decay cycles occur in 2 modes(laws) of mathematical self-organizing, self-assembly time-based fractal series: a 4-phase fractal series: x/2-2.5x/2-2.5x/1.5-1.6x and a 3-phase fractal series: x/2-2.5x/1.5-2.5x In the 4-phase fractal series sequential elements are termed: the 1st, 2nd, 3rd, and 4th fractals and in the 3-phase fractal series: the 1st, 2nd, and 3rd fractals. The 2nd fractal is characterized by terminal gapped nonlinear lower lows between the 2nd fractal’s terminal 2x and 2.5x time period. (These gapped nonlinear lower lows can be observed in weekly valuation units for the DJIA between 1929 and 1932, the terminal portion of the US 90 year 2nd fractal; within the last three day before the terminal 5 August 2024 139 day 2nd fractal low occurring in the 27 October 2023 55/139/136 day :: x/2.5x/2.5x valuation maximum growth series ending 19 February 2025: and can be expected within last 14-15 months on a daily and weekly basis of the current 32 of 33 year 2nd fractal of the interpolated 1982 13/32 of 33 year 1st and 2nd fractal series. With the exception of the 3rd fractal in the 4-phase series whose fractal grouping is determined by its terminal high or final lower high peak valuation, fractals (fractal groupings) are determined by the nadirs of the first and last time unit in the grouping with all intervening valuations above the connecting nadir trend-line.

The SPX 27 October 2023 to 19 Feb 2025 Final Peak Valuation Growth: x/2.5x/2.5x :: 55/139/136 days; The Interpolated 12 Feb 2025 11/28/28/16-18 day :: x/2.5x/2.5x/1.5-1.6x 4-Phase Decay/Decay/Reflexic Growth/ Crash Decay Fractal Series Ending 6-10 June 2025

The global macroeconomy is near the end of a 1982 13/33 year :: x/2.5x asset-debt credit (fractal) cycle ending in 2026. This is analogous to the 1807 36/90 year :: x/2.5x Asset Debt 1st and 2nd fractal cycle with a DJIA peak on 3 September 1929 and final nadir on 8 July 1932. On a long term scale the 1842-43 90 year 1929 to 1932 peak to nadir DJIA 90% devaluation has the characteristics of a 2nd fractal nonlinear collapse. The current 1982 13/33 year :: x/2.5x cycle with 32 of 33 years of its 2nd fractal completed and its ongoing 2nd fractal nonlinear collapse is interpolated within the larger US hegemonic 1807 36/90/90/54-57 year :: x/2.5x/2.5x/1.5-1.6x 4-phase fractal series ending in 2074 - 2077 with the 1932 90 year 3rd fractal peaking on 8 November 2021. (see primer below) After the 2026 nadir, the follwing 33 years will be characterized by further US financialization of debt, new money, and new credit creation and development of new financial instruments such as 50 year loans. While the current administration's policies will promote a departure from the dollar to other possible exchange items, America's prior defense spending, role as a nuclear superpower, and AI and robotics capabilities, will likely carry the fraying US hegemony for another two or three decades. The peak for the SPX of the 1982 13/33 year cycle occurred on 19 Feb 2025 with the final lower high on 21 February or day 138 of a 27 October 2023 55/139/138 day :: x/2.5x/2.5x maximum 3-phase growth series. A logical conclusion to this series would be a 1.5x 4th decay fractal of 82-83 days or 1.5 times the 27 Oct 2023 1st fractal base of 55 days.

The final fractal series from 12 Feb 2025 is a 11/28/28/16-18 day :: x/2.5x/2.5x/1.5-1.6x 4 phase fractal series. The 1st and 2nd series are deteriorating decay fractals(as denoted by the red horizontal bars), the 28 3rd fractal is a countertrend growth fractal peaking on day 28 and the 4th 1.5-1.6x fractal of 16-18 days is a decay fractal with the crash devaluation in the terminal final days. This would put the nadir of the 11/28/28/16-18 day series on 6,9, or 10 June 2025.

The final 16-18 day 4th decay fractal may start as the concluding part of the 3rd fractal blow-off, both represented by a 3-phase 5/3 of 10-11/10-11 day :: x/2-2.5x/2-2.5x fractal series with the first 7 days representing the terminal portion of the 28 day 3rd fractal and the last 16-18 days of the fractal series representing the 4th decay fractal. This 3-phase series could also be configured 5/12-13/7-8 days :: x/2-2.5x/1.5-1.6x. With money being repatriated from the US equity markets and with new deficit spending for NATO military hardware and expansion, it is possible that the German DAX will blow-off to valuations near to or exceeding its prior high. The total SPX 80-82 day fractal series is about 17 weeks in length with an expected final low(equivalent to 8 July 1932) in about 17/34/34/ 20-25 weeks :: x/2x/2x/1.5x'. Below is a primer on deterministic self-assembly asset-debt time based quantitative fractal macroeconomics copied from a previous posting. A Primer on Quantitative Time-based Fractal Growth and Decay of The Asset-Debt Macroeconomic System’s Composite Equities Qualitatively …on the longest time-unit cycles (years) (e.g. 1807 36/90/90/54-57 years and 1982 13/32 of 33/32/-33/20 years) credit expands via governmental, corporate, and citizen debt; assets are produced and over-produced , overvalued and over-consumed; consumers reach maximum debt loads; the population of possible traders/invested are fully invested and composite equity asset valuations reach a singular fractal time-unit (minute, hour, day, week, month) peak valuation and thereafter undergo decay; recessions occur with weakening demand, interest rates fall; excess debt undergoes default and restructuring; individual and corporate bankruptcies occur; and composite equity (and commodity) asset valuations eventually reach a singular fractal time-unit nadir. The cycle thereafter repeats itself. On smaller time-unit fractal cycles (quarters, months, weeks, days, hours, 15-minute/ 5 and 1-minute) : trader/investor population saturation of asset buying occurs ending in a transient peak valuation .. followed by trader/investor population saturation end selling resulting in a transient nadir valuation. These peaks and nadirs occur in one of the two quantitative fractal patterns as above. Empirically composite equity asset valuation growth and decay cycles occur in 2 modes(laws) of mathematical self-organizing, self-assembly time-based fractal series: a 4-phase fractal series: x/2-2.5x/2-2.5x/1.5-1.6x and a 3-phase fractal series: x/2-2.5x/1.5-2.5x In the 4-phase fractal series sequential elements are termed: the 1st, 2nd, 3rd, and 4th fractals and in the 3-phase fractal series: the 1st, 2nd, and 3rd fractals. The 2nd fractal is characterized by terminal gapped nonlinear lower lows between the 2nd fractal’s terminal 2x and 2.5x time period. (These gapped nonlinear lower lows can be observed in weekly valuation units for the DJIA between 1929 and 1932, the terminal portion of the US 90 year 2nd fractal; within the last three day before the terminal 5 August 2024 139 day 2nd fractal low occurring in the 27 October 2023 55/139/136 day :: x/2.5x/2.5x valuation maximum growth series ending 19 February 2025: and can be expected within last 14-15 months on a daily and weekly basis of the current 32 of 33 year 2nd fractal of the interpolated 1982 13/32 of 33 year 1st and 2nd fractal series. With the exception of the 3rd fractal in the 4-phase series whose fractal grouping is determined by its terminal high or final lower high peak valuation, fractals (fractal groupings) are determined by the nadirs of the first and last time unit in the grouping with all intervening valuationsWhy does the asset-debt macroeconomic system self-organize to the maximum length x/2.5x/2.5x fractal time-based growth length? It is because equities represent the system’s best available investment with the highest return with superiority over other held assets in terms of possible dividends, valuation growth, tradability, tax-advantaged capital gains, corporate advantaged debt acquisition, and corporate advantaged buy-back legislation above the connecting nadir trend-line.

Mayday ... Yet Another 3-Phase Lammert Primary Fractal Crash Decay Series Model ... 3 Feb 2025 to 12 June 2025

3 Feb 2025 to 12 June 2025 21/42 of 45/27 days :: x/2-2.5x/1.5x'

What is the SPX 1982 to 2026 13/33 Year Primary 1st Fractal Decay Series?

The 1982 to 2026 13/33 year :: x/2.5x fractal series will end in a nonlinear slow fashion like the 1807 36/90 year fractal series ended in 1932. The DJIA peaked on 3 September 1929 and had its nadir valuation on 8 July 1932. The final fractal growth series for the 1982 13/33 year :: x/2.5x fractal series started on 27 Oct 2023 and was a 55/139/136 day :: x/2.5x/2.5x 3-phase growth series peaking on 19 February 2025. An alternative primary decay fractal series to the preceding post must be considered as more likely and is a 3-phase 19/35 of 40/24 day :: x/2x/1.6x' fractal decay series starting on 12 February 2025 . See below.

In this fractal series decay model, a large nonlinear drop will occur during the final day or two of a 5 day 4th fractal of a 7 April 2025 21 day 3/8/7 of 7-8/5 day 4-phase fractal series which follows a preceding subseries of a 20 day 4-phase 3/7/8/5 days starting on 11 March 2025.

Not So Smart .. Occam’s Razor and 1982 to 2025 Terminal Fractal Growth: New Projected Initial First Fractal Decay Nadir: 13-19 June 2025.

The global Asset-Debt Macroeconomic System is undergoing a 1982 13/32 of 33 year 1st and 2nd Fractal nonlinear collapse which will end in late 2026. Even before the Hoover 2.0 tariffs and the resumption of college loan debt payments, average American consumers were tapped out and hard-working Chinese savers were already decimated by collapsing property valuations. The terminal portion of the 1994 SPX 33 year 2nd Fractal began on 27 October 2023 with a self assembly 55/139/136 day :: x/2.5x/2.5x near maximum growth fractal series peaking on the 136th day of the 3rd Fractal: 19 February 2025. The 139 day 2nd fractal shows characteristic 2nd fractal gapped lower low nonlinearity in the extreme terminal time area (2-2.5x)between days 137 and 138 and between days 138 and 139. The natural 4 phase evolution of the 27 Oct 2023 3-phase growth series: x/2.5x/2.5x series is x/2.5x/2.5x/1.5x or 55/139/136/82-83 days. The graphs below shows the fractal relationship of the 3 February 2025 sequential 8/19/20 day and 7 April 2025 10/20-22/20-22 day :: x/2-2.5x/2-2.5x and the interpolated 80-84 day 19 February 2025 4-phase 5/11/13/8 day fractal decay series sequentially followed by a 7 April 10/20-22/20-22 day 3-phase fractal decay series ending 13 June to 19 June 2025.

With an 18 week 1st decay fractal, an 18/36-38/36-38/22 week 4 phase decay series would place the SPX 3rd fractal low valuation near the end of December 2026. The chances for the America hegemony to have a 32 year resurgence will be greatly improved following the 2026 midterms.