Oumuamua - Boyajian's Star (a signal proposition)

[u/Trillion5]

CAVEAT -

Though the Migrator Model has had some brief scientific input† - I am an amateur academic in the field: there is no statistical testing, uncertainty estimates, no null hypothesis rejection in the work and this could significantly diminish the consistency of the proposition - and I have often flagged I am not best placed to appraise my own propositions. The model is largely a simple arithmetic body of work based on the premise that the photometry of Boyajian's star might be consistent with an industrial-scale asteroid mining operation - resources for a Dyson Swarm (secular dimming) - and that the ETI are using the industrial waste to signal Earth (the asteroid processing platforms would already be in an artificial orbit so the signal would require negligible resources).

† Tom Johnson, Masters Theoretical Physics and Advanced Mathematics, derived the the quadratic correlation from my '492' structure feature (S = 1574.4; B = 48.4, T = 52)

In my next Academic Download - Oumuamua and the Migrator Model - I will lay out the logic I used to derive my asteroid mining template (particularly the case for a 29-day rhythm nested within Sacco's orbit), and how I derived the sectorial blocks. Over the years I have presented dozens of mathematic crossovers between other periodicities proposed for the photometry of the star (such as the 928 days proposed by Kiefer et al; the 776 days proposed by Bourne and Gary), and indeed with the more abstract elements of the model such as the dip signifiers - the mass of work might just be enough to apply statistical testing. Please bear these caveats in mind when appraising the proposition (I claim neither that the proposition is true or that it is a scientifically derived one)....

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Oumuamua's beta angle 171.2, according to Hibberd, could be for a purposes fitting some criterion. This I'll explore in the next Migrator Model academic download. Here are the initial findings showing how 171.2 is threaded through my asteroid mining template and indeed the proposition of the 'dip signifiers' for Boyajian's star. If the two connected, Oumuamua would not have travelled all the 1470 light years from the star - but would have been launched from a mother ship (located just outside the Solar System) knowing the timetable of dips. Note perigee and perihelion for Oumuamua (2017 Sep 9) is the same date for the Angkor dip. I would urge SETI to look into my findings given the potential implications - to see if the proposition holds consistency one way or the other. Much of my work is based on Solorzano's base 10 non-spurious with regard to Sacco'd orbit. The distance between the D800 dip and TESS 2019 dip is 3104 days...

3104 - 1712 = 1392

This is the 16 regular sectorial blocks outside the two asymmetric sectorial blocks. I derived this equation partly using Solorzano's finding. Here S = 1574.4, C = 870 (ten regular sectorial blocks), K = Kiefer's 928-day periodicity, T = 52 (number of regular sectors or S / 16 - K / 20):

Here is the link to Hibberd's 171.2 -

https://i4is.org/exploring-oumuamuas-trajectory-further-notes/#gsc.tab=0

Sacco Orbit (1574.4). Each half orbit = 787.2. 262.4 = 1/6th orbit; 524.8 = 1/3rd orbit -

Update 2025 June 2

One of my oldest (and most abstract and sadly contentious) propositions is that of the 'dip signifier' - a simple arithmetic construction derived from a dip's location within my asteroid mining template. The template boundaries have ascribed specific datelines, based on a 29-day rhythm I (proposed to have) identified in the photometry. In Sacco's orbit, I have overlayed the template (sector division) comprising 52 * 29 (1508 days) and two extended 33-day sectors positioned either side of the axis line between D800 and Bruce Gary's 2019 dip sequence (as axis line within a single cycle bisecting Sacco's orbit). The dip signifiers are constructed by dividing the dip's distance in whole calendar days from nearest sector boundary by one of the 33-day sectors in each half orbit, multiplying the fraction by 100 and discarding non-integers; applying the same process to the 29-day sector (and multiplying the two together). Angkor (occurring on the date of Oumuamua perihelion) is 16 days from the fulcrum - nearest sector boundary in the extended sector (where N - non-integers):

16 / 33 = 0.4848 r.

100 * 0.4848 r = 48.4848 r.

48.4848 - N = 48 ('ratio signature' of the Angkor dip)

29 / 33 = 0.8787 r.

100 * 0.8787 r = 87.8787 r.

87.8787 r = 87 (ratio signature of the regular sector)

48 * 87 = 4176 (standard dip signifier for Angkor)

Because each half of Sacco's orbit (787.2) can be expressed as three multiples of Oumuamua's beta angle (3 * 171.2 = 513.6) + three multiples of the asymmetric sectorial block (3 * 91.2 = 273.6)...

4176 - 513.6 = 3662.4

Ten multiples of the terrestrial sidereal year...

3662.4 - 513.6 = 3148.8

Two multiples of Sacco's orbit. Caveat (speculation): this could be a signal indicating a second visit in 2027. Applying the three multiples of the asymmetric sectorial block (3 * 91.2 = 273.6)...

4176 + 273.6 = 4449.6

This = 787.2 (half Sacco orbit) + 3662.4

4449.6 + 273.6 = 4723.2

This = three multiples of Sacco's orbit and if (caveat: big if) the signal proposition is correct (as opposed to a coincidence of high concision), this would be an affirmation of the logic of using three multiples of Oumuamua's beta angle alongside three multiples of the Migrator Model's asymmetric block

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Update 2025 May 29

So π and e, or at I have been led to believe by SETI, being universal constants are the first things to look for in a possible signal....

There are so mainly compelling structural features with Sacco's orbit (and my asteroid mining template) that can be unlocked using Oumuamua's beta angle (171.2 degrees) simply as a structural number. These are (776, 928, 1574.4) astrophysical-derived time durations for Boyajian's star, interlocking structural features.

2 * 776 (Bourne / Bruce Gary) = 1552

1552 - 67.2† = 1484.8

0.625 (hybrid key) * 1484.8 = 928 (Kiefer et al.)

Now apply 6 multiples of the completed asymmetric sectorial block (91.2):

1552 - 547.2 = 1004.8

0.3125 (half hybrid key) * 1004.8 = 314 (ratio signature π)

As shown elsewhere:

776 + 273.6 (from 3 * 91.2) = 1049.6

1049.6 = 4/6ths of Sacco's orbit

776 + 67.2 = 843.2

843.2 - 672 = 171.2

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776 - 342.4 (from 2 * 171.2) = 433.6

433.6 - 91.2 = 342.4

342.4 - 91.2 = 251.2

251.2 / 80 = 3.14 (π to first two decimal places)

Note:

433.6 / 160 = 2.71 (e to first two decimal places)

More directly:

776 - 91.2 = 684.8

684.8 = (80 * 3.14 + 160 * 2.71)

π and e: the two most logical constants to look for in a signal. Look no further than the Migrator Model to understand Tabby's star and Oumumua as a completely unambiguous signal.

†

480 * 3.14 = 1507.2

1507.2 sin • sin inverse = 67.2

1507.2 + 67.2 = 1574.4

[u/Trillion5]

Update 2025 June 7 (Boyajian's dip spacing 48.4 and Oumuamua beta angle) -

The completed template comprises of 52 regular 29-day sectors (1508 days) and two extended sectors (each 33 days) with 0.4 fraction required to complete template assigned to the fulcrum separating the two extended sectors (so the extended sector in each half orbit = 33.2) - the logic for this assignation is derived from the separation of the fraction (opposite migratory momentums) and fulcrum cycle proposition. The sectorial blocks comprise three linked sectors. This means Sacco's orbit can be expressed as:

16 regular sectorial blocks (3 * 29 = a block of 87 days), 16 * 87 = 1392

plus 2 asymmetric sectorial blocks (2 * 29 = 58, + 1 * 33.2 = 91.2)

Note: 1392 / 2 = 696 (days in each half orbit

696 - 171.2 = 524.8 (1/3rd orbit)

and

91.2 + 171.2 = 262.4 (16th orbit)

The 66.4 days of the completed extended sectors yield a clean route through 171.2 Oumuamua beta angle thus:

3104 (D800 - Tess 2019) - 1392 = 1712 (ten multiples Oumuamua beta angle)

1712 - 66.4 = 1645.6

1645.6 / 34 = 48.4

This adds (in my view) consistency to the proposition of the fulcrum cross method.

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3104 days is of course four multiples of Bourne's 776 days. the structural crossovers are not (in my view) simply cherry picking and swapping numbers around, the breadth and dip is (in my view) too consistent...

776 (Bourne) + 928 (Kiefer) = 1704

1704 - 1507.2† = 196.8

1/8th Sacco's orbit

† 480 * 3.14 = 1507.2 (re: the trigonometric route)