The Elegant Nikkei Suggest a 27 May 2025 Initial Crash Nadir

From the Nikkei's low on 19 November 2025, it will complete an elegant 21/53/53 day fractal series on 27 May 2026. The composite global equity ACWI, which has a trading holiday, will likely complete the collapse in one trading day less than the Nikkei.

This also indicates that 14 May 2026 was the peak for the ACWI completing an 6 May 8/20/16 hour :: x/2.5x/2x final fractal growth series.

From ACWI's peak on 1130 EST 14 May 2026, a 12/25/25 hour :: y/2y/2y Lammert 3-phase crash fractal decay series would produce a 27 May 2026 Crash Nadir. Gold and crypto will follow the crash devaluation, whereas oil under the influence of gulf war, will have major gains.

13 May 2026: SPX/ACWI's 45 Year Peak Fractal Valuation and Incipient Fractal Crash Decay

The Two Lammert Time-Based Fractal Laws of Self-Assembly: A 4-Phase Series: x/2-2.5x/2-2.5x/1.5-1.6x , where the 3rd fractal ends on a peak or lower high valuation and the other 3 Fractals end on nadir valuations. A 3-Phase Series: x/2-2.5x/1.5-2.5x, where all 3 fractals end on nadir valuations. This can be written as y/2-2.5y/2-2.5y for crash devaluations where ‘y’ denotes declining valuations.

Are the two elegantly simple time-based self-ordering fractal math rules of Lammert Fractal Economics part of the simulation governing human-affairs asset-debt macroeconomics?

The Two Lammert Time-Based Fractal Laws of Self-Assembly: A 4-Phase Series: x/2-2.5x/2-2.5x/1.5-1.6x , where the 3rd fractal ends on a peak or lower high valuation and the other 3 Fractals end on nadir valuations. A 3-Phase Series: x/2-2.5x/1.5-2.5x, where all 3 fractals end on nadir valuations. This can be written as y/2-2.5y/2-2.5y for crash devaluations where ‘y’ denotes declining valuations.

MIND THE GAP !!! 6 May 2026: The Final Global Equity Peak; Crypto, Gold , and Oil Fractals

Added 611 PM EST 6 May 2026. ACWI: Mind the hourly and daily (exhaustion) Gap!

ACWI 30 March 2026 to 6 May 2026 32/76/78 hours :: x/2-2.5x/2-2.5x

7 April 2025 to 6 May 2026 ACWI 3-phase Lammert fractal series blow-off peak valuation growth and Initial 3-phase fractal series crash decay.

and oil futures from Dec 2025 15/35/28/22 days :: x/2.5x/2x’/1.5x vice below GOLD:

CRYPTO:

(Immediately below added 7 May) 2026 Bitcoin in USD weekly Fractals

OIL:

(Added 7 May 2026) Or very ominously, completion of a 16 Dec 2025 to 7 May 2026 15/35/28/23 day :: x/2-2.5x/2x'/1.6x' 1st Fractal with a curvilinear underlying tangent line signalling explosive 2nd Fractal valuation growth. The war on the 28 February 2026 was the start of accelerating 28 day 3rd fractal subseries growth.

Added 1230AM EST 11 May 2026:

The 5 May 2026 ACWI Terminal Peak Valuation and Subsequent Initial Great Fractal Crash; The 5 May 2026 terminal 12 hour 3rd Fractal of a 6/14/12 hr :: x/2-2.5x/2x series of a 30 hour 3rd Fractal of 13/30/30 hr :: x/2-2.5x/2-2.5x series of a 71 hour 3rd Fractal of a 30 March 2026 32/76/71 hr :: x/2-2.x/2-2.5x series completing terminal 1982 SPX 13/33 year :: x/2.5x Peak Valuation Growth; Lammert Time-Based Fractal Economics Confirmed as the Patterned Science of the Asset-Debt Macroeconomic System

2% US GDP growth and US Equity valuation growth in the 1st quarter and the 1st month of the 2nd quarter has been propelled by continued private credit investment into AI and associated Tech, while the US consumer dromedary economy is faltering as represented by historically low consumer sentiment and the added gas and diesel price increase straws that are breaking the camel’s back. After ACWI's 7 April 53/107 day 2nd Fractal valuation nadir on 19 Nov 2025, ACWI valuation growth occurred in a 19/47 day :: x/2.5x fractal fashion with an initial peak valuation on 25 Feb 2025. From the 25 Feb 2026 peak ACWI fractal decay occurred in y/2.5y/1.6y fractal series fashion: 5/13/8 days ending on 30 March 2026. The fractal collapse occurred coincidentally to the start of the Israeli-US war. 30 March to 5 May 2026 represented the global asset-debt macroeconomic system's terminal fractal x/2-2.5/2-2.5x growth. 5 May 2026 was the ACWI Global Peak Valuation of the 1982 SPX 13/33 year :: x/2.5x 1st and 2nd fractal series. Final daily and hourly growth for ACWI started on 30 Mar 2026 and followed a 6-/11/11 day :: x/2x/2x terminal growth series and a 32/76/71 hour growth series :: x/2-2.5x/2-2.5x ending with a lower interday high on the last trading hour of 5 May.

The last trading hour of 5 May completed a 12 hour 3rd fractal of a 6/14/12 hour 3 phase fractal series of 30 hours the sum which completed the 3rd fractal of a 13/30/30 hour fractal series, the sum which completed a 71 hour 3rd fractal of a 30 March 2026 32/76/71 hour fractal series. The daily and hourly series completes a 7 April 2025 53/107/113 days :: x/2-2.5x/2-2.5x approximating x/2x/2x. The 53/107/113 or 270 day 3-phase series completes a 23 Oct 2023 120/243/270 day :: x/2-2.5x/2-2.5x fractal growth series. A 5 May 2026 7-8 /17-18/10-11 day :: y/2-2.5y/1.6y 3-phase crash decay series ending about 17 June 2026 will complete a 23 Oct 2023 120/243/305 day :: y/2-2.5y/2-2.5y 3phase growth and decay series and a Oct 2022 55+/140 week :: x/2.5x 1st and 2nd fractal series. GOLD Gold prices appear to be following a 1929 DJIA 3 phase 11/27-28/28 day: xy/2.5xy/2.5xy 3-phase crash fractal decay series. The 11 day 1st fractal started on 23 March 2026. CRYPTO is following a 12 Dec 2022 26/66/56-57/31 of 38-39 week :: x/2.5x/2-2.5x/1.5x 4-phase growth and decay fractal series. OIL With the war, oil is bucking the trend having completed a 16 Dec 2025 15/35/36 day 1st fractal growth series on 17 April 2026. On 4 May 2026 the 2nd fractal appears to be on day 12 of a 12 day 1st fractal sub-series. On 4 May 2026 the 2nd fractal appears to be on day 12 of a 12 day 2/5/5/3 day 1st fractal sub-series. Like the 25 Feb ACWI and ensuing 5/13/8 day collapse after the start of the war, accelerating oil and gas prices due to the continued Hormuz closure will be primarily blamed for the 5 May 2026 7-8/18/11 day :: y/2.5y/1.6y global equity crash and gold and crypto crash. It is the opinion of this observer that the equity, gold, and crypto crash beginning 5 May 2026 is related primarily to private and zombie corporate credit excessive issuance for overvalued assets and the ongoing collapse of that private and corporate debt credit worthiness. The macroeconomic asset-debt system's asset valuations (except oil and petroleum by-products) will undergo an inevitable 5 May 2026 peak valuation deterministic time-based fractal collapse.

4 May 2026: Peak Global Equity Valuation: Oil: the trading entity bucking Gold and Cryptos' devaluation.

Total global gold market valuation peaked on 29 Jan 2026 at 37.5-38 trillion and is currently valued at 32 trillion. The total global crypto market at peak valuation in Sept/Oct 2025 was 4.36 trillion and is currently valued at 2.7 trillion. With Israel's initiation of the war on 28 Feb 2026, the global oil and gas market has bucked the declining price trends in gold and crypto markets. The oil and gas market was valued at 6.3 trillion in 2025 and now 8.75 trillion in May 2026 after the Israeli war. By comparison, the total global equity worth is currently about 154.5 trillion, a new record peak valuation. The 1982 to 2026 13/33 year 2026 1st and 2nd fractal series peak composite equity valuation will occur on 4 May 2026 completing a 7 April 2025 53/107/112 day :: x/2-2.5x/2-2.5x 3-phase Lammert terminal fractal growth series. 2% US GDP growth and US Equity valuation growth in the 1st quarter and the 1st month of the 2nd quarter has been propelled by continued private credit investment into AI and associated Tech, while the US consumer dromedary economy is faltering as represented by historically low consumer sentiment and the added gas and diesel price increase straws that are breaking the camel's back. GOLD Gold prices appear to be following a 1929 DJIA 3 phase 11/26-28/28 day: xy/2.5xy/2.5xy crash fractal decay series. The 11 day 1st fractal started on 23 March 2026. CRYPTO is following a 12 Dec 2022 26/66/56-57/31 of 38-39 week :: x/2.5x/2-2.5x/1.5x 4-phase growth and decay fractal series. OIL With the war, oil is bucking the trend having completed a 16 Dec 2025 15/35/36 day 1st fractal growth series on 17 April 2026. On 4 May 2026 the 2nd fractal appears to be on day 12 of a 12 day 2/5/5/3 day 1st fractal sub-series. From 4 May 2026 the 24-30 day 2nd fractal subseries valuation growth will be at an accerlerated rate in the opposite directionn of gold, crypto, and global equity composites. COMPOSITE EQUITIES (ACWI) reached a new high on 1 May 2026 on its way to completing a 30 March 2026 to 4 May 2026 6-/11-12/ 10 day :: x/2x/2x' or a 36/76/61-64 hour :: x/2-2.5x/2-2.5x' 3-phase growth series.

The current ACWI crash decay fractal series model is a 3-phase 7-8/18/11 days :: y/2-2.5y/1.5-1.6y fractal series.

4 May 2026: The final 1982 13/33 year :: x/2.5x SPX Composite Equity Peak Valuation

From the 30 March 2026 nadir a 6-/12/10 day :: x/2x/2x' SPX fractal growth series will complete a 7 April 2025 to 30 April 2026 53/107-108/112 day :: x/2x/2-2.5x 3 phase Lammert final growth series completing a 1982 SPX 13/33 year :: x/2.5x peak valuation growth series... The terminal 30 March to 4 May 2026 SPX 32/74/62 hour :: x/2-2.5x/2x 3-phase hourly fractal growth series is shown below.