The SPX/QQQ identified 4-phase 3 February 2025 8/19/20/13 day :: x/2.5x/2-2.5x/1.6x terminal growth and crash decay fractal series model failed to coincide with the asset-debt system’s deterministic self assembly valuation growth and decline pathway.

On further review the 3 February 2025 fractal model is interpolated within a larger SPX/QQQ 13 January 2025 13/30/31 of 33/20 day 4-phase terminal growth and initial crash fractal decay series. The 33 day 3rd fractal ends on a lower high on Tuesday 29 April 2025 with a 20 day 4th crash fractal ending on 27 May 2025 and an expected final low in December 2026.

The 2nd 30 day fractal contains the 1982 SPX 13/32 year peak valuation high on 19 February 2025 and the 21 February 2025 55/139/138 day :: x/2.5x/2.5x lower high valuation from a terminal fractal growth series starting on 27 October 2023.

For the Shanghai composite the 13 January 2025 4 phase fractal series is 12-13/26-33/26-33/18 days with 8 days of the terminal 2nd and the initial 3rd fractal mathematically shared for an average 1st, 2nd, and lower high 3rd fractal of 12-13/29.5-30/29.5-30 days :: x/2.5x/2.5x The 4th crash decay fractal with a 2nd fractal of 30 days length and an ideal 1st fractal base of 12 days would have a 1.5x length of 18 days which balances the Shanghai Composite’s 3 days of stock holidays in early May with the SPX’s Memorial day on 26 May 2025 ending with a low on 27 May 2025.

The Shanghai Composite is following a 4-phase December 2018 16/32/31 of 32/20 month :: x/2x/2x/1.5x’ Lammert fractal series with an expected low in December 2026.

The timing of the expected lows will have a serious impact on the United States midterm elections of 2026.

What parameters concerning a field of study make that subject a science? Occam’s razor self-organizing patterns, unifying laws underlying those patterns and predictability based on that knowledge.

The big bang theory is primarily based on the red-shift of light as explained by an expanding universe. The theoretical painful contortions of non-quantum mechanics physics winding the system back to the 10-E43 second singularity starting point seem to be the analogously wacky equivalent to Greek mythology. What if the CMB at z1100 are merely photons 10E6 further away than the most distant JADES GS-z-14.0 galaxy observed by the JWST and light simply undergoes linear energy decay in the ensuing gravitational field, a field about 250 times greater than the field that exists for the ‘old’ light traveling to us from the z-14.0 galaxies detected by JWST’s 0.5 to 28 micron detectors. The CMB then becomes merely representative of an infinite universe’s average photon wavelength dispersion that keeps the universe at average toasty 2.7 degrees Kelvin. Occam’s Razor would eliminate the need for a singularity’s very strange story and stranger subatomic physics.

With the greatest investment advantages, the asset-debt system’s equity assets empirical grow to their maximum saturation trading or economic cyclic fractal length. i.e., x/2.5x/2.5x before undergoing decay.

This happened with the US hegemony 1807 36/90/90 year :: x/2.5x/2.5x Wilshire composite 90 year 3rd fractal peak valuation on 8 November 2021 with a DJIA 90 year 2nd fractal low on 8 July 1932.


Credit and debt and the money supply was aberrationally grossly expanded by government spending and central bank accommodation during the COVID crisis. The March 2020 SPX underwent (self-organized) a 3 phase x/2.5x/1.6x growth and decay series of 8+/24/14 months ending 27 October 2023.

The SPX 27 October 2023 then self-assembled a 55/139/138 day :: x/2.5x/2.5x final lower high valuation with the peak valuation on 19 February 2025 or day 136 of the 138 day 3rd fractal providing an observable example of the system’s maximum 3-phase x/2.5x/2.5x fractal growth.

A final 4 phase 3 Feb 2025 SPX 8/19/20/13 day terminal growth (posted on 1 April below) and a fractal crash decay series will form a 19/20/13 day incipient 1st decay fractal taking the 1982 13/32 of 33 year interpolated 1st and 2nd fractal series to its 2026 nadir. (… Interpolated in the larger US 1807 hegemony 36/90/90 /54-57 year :: x/2.5x/2.5x/1.5-1.6x 4-phase fractal series ending in 2074-77.

The 1 April 2025 post above is updated as of 19 April 2025 below:

The final 13 day 4th fractal appears to be composed of a 3-phase rebound growth and crash decay fractal series of 17/34/42 hours:

The furthest observable galaxy by JWST has a z number of 14.32 and the CMB a Z number of about 1089. If light loses energy and has wavelength lengthening in a gravitational field proportional to the distance traveled, The CMB wavelength 1900 microns would be on average a little over 2E6  further away than the farthest observable galaxy. The JWST has an infrared detection system of 0.6 to 28 microns. What if space telescopes were developed with deep infrared detectors at 50 100 200, 400, 800, 1600 micron wavelength  that could detect photons with lower and lower energies? A telescope with an 800 micron wavelength detector might have to be focused on  a specific location for 1-10 years (maybe that’s technically impossible)to collect enough photons – with the photon field from  500Z distant galaxies being reduced by the inverse square with the doubling of distances.
Deep AI retrieved this information about one far infrared telescope. The Herschel Space Telescope was a deep infrared telescope that operated at about 60- 670 microns from 2009 to 2013 at about 750,000 to 1.1 million miles earth orbit when it depleted its liquid helium. 
Recently (April 2025) data from the 2009-2013 Herschel Space Telescope was computer reanalyzed showing new more distant galaxies.

The final SPIRE Dark Field image map created by combining the Blue (250 micrometers), Green (350 micrometers) and Red (500 micrometers) SPIRE camera channels together, each channel stacking a total of 141 individual images on top of each other. The blobs on the image are all individual galaxies or groups of galaxies. However, the image is so crowded that there is almost no empty space with the faintest galaxies merging into the background light in the map. (Chris Pearson et al., Monthly Notices of the Royal Astronomical Society, 2025)
 

With both narrower range and longer wavelength far infrared detectors it might be possible to discover more distant galaxies at specified wavelength distances … up to the current cosmological limit of the CMB where the steady state infinite universe has an average temp of 2.7K consistent with the CMB 1.9 mm or 1900 micron wavelength.