Mathematical Secrets of Earth’s Axial Tilt Shaping the Patterns of Human Migrations

In the realm where science and faith intersect, few discoveries have the potential to astonish us  quite like the work of my late father, Saul Kullok z”l (1931-2023), who found a precise mathematical correlation between the history of the Israelites, the Biblical tribal borders of the land of Israel and the earth’s axial tilt. A tribute to my father.

A Renaissance Man of Modern Times

Saul Kullok was no ordinary scientist. A brilliant mind hailing from Buenos Aires, Argentina, Kullok's journey led him to Israel in 1974, where he would embark on a research odyssey that spans millennia and reaches the stars. His multidisciplinary expertise ranged from cardio vascular mechanics of the heart contraction, non-invasive electrophysiology of heart rate variability (HRV), the autonomic nervous system (ANS) from cardio-neural biofeedback to learning disabilities, astrophysics and mathematics. But it was his deep dive into Torah-Science studies that would yield his most provocative and potentially revolutionary findings.

With several patents to his name, Kullok brought a rigorous scientific approach to his exploration of the Hebrew Bible and ancient Israelite traditions. His research led him to uncover something extraordinary: a mathematical precise correlation between a virtual astronomical east-west celestial line, the Earth's axial tilt, the geography of the biblical Land of Israel, and the migratory patterns of the Israelites over 3,500 years of history.

The Earth Axial Tilt (obliquity of the ecliptic)

The plane of the ecliptic is an invisible, flat surface in space that represents Earth's path around the Sun. Imagine a pool with the Sun as a floating ball in the center and Earth as a smaller ball swimming around it. The water's surface in this analogy would be like the plane of the ecliptic. An observer on Earth sees the Sun appear to move along this path in the sky over the course of a year. Interestingly, the Earth's equator isn't lined up exactly with this orbital plane. Instead, it's tilted at an angle, which is called the "obliquity of the ecliptic." This angle is the same as the tilt of Earth's axis of rotation compared to a line standing straight up from the plane of the ecliptic.

The axial tilt of the Earth is the reason we experience seasons and why the Sun appears higher or lower in the sky at different times of the year. This tilt specifically relates to the planet's rotational characteristics and has significant impacts on planetary dynamics, including climate patterns and variations in the day/night cycle, in addition to these seasonal changes.

The Celestial Line of Judgment

The book of Malachi presents a prophetic vision of the period preceding "the great and dreadful day of the Lord." During this time, people will express complaints, proclaiming, "Everyone who does evil is good in the sight of the Lord" (Malachi 2:17). This passage suggests that in the latter days, adherence to moral principles will appear futile.

Witnessing the prosperity of those who disregard ethical standards, people will question, "Where is the God of Judgment?" (Malachi 2:17). Saul Kullok's research indicates that the answer to this question can be found in a literal interpretation of Isaiah 28:17, which declares, "I lay down judgment by a line." This literal interpretation of a "Line of Judgment" (Lj) (also called Line of Heaven or Planetary Line) is further elucidated by Psalm 19:5, which states that a "line of them ([קום] referring to heaven and earth) went out through all the earth." Through a near-literal interpretation of the first eight verses of Psalm 19, Kullok has identified and mathematically calculated the astronomical position of this virtual "celestial line" in the sky.

Kullok's research hypothesizes that the earthly projection of this virtual celestial line from Psalm 19 determines the latitude of the "Line of Judgment" mentioned in Isaiah 28:17. In Kullok's work, this virtual celestial Line of Judgment is conceptualized as equivalent to a virtual terrestrial parallel, or more precisely, a virtual geodesic east-west line. Due to the gradual change in our planet's axial tilt, this virtual celestial Line of Judgment, which traverses the Land of Israel from east to west [1] [2] [3] [4] [5], is slowly shifting southward at a rate of less than 14.5 meters per year.

Historically, the Land of Israel was divided among the 12 sons of Jacob into 12 tribes, each with its specific allotted territory (as detailed in the book of Joshua, see map below). As the Lj progresses southward, it transitions from one tribal territory to another. Kullok's working hypothesis suggests that when this virtual celestial Line of Judgment enters a specific territory of Israel, historical events unfold in such a way that the people of Israel, particularly those in the affected territory, experience a process of destruction and exile. Conversely, when the virtual celestial Line of Judgment leaves a territory, it signifies that the people of Israel can return to that land, rebuild and prosper. This cyclical pattern of exile and return, aligning with people's migrations, corresponds with too many historical events in Jewish history.

The Latitude of the Celestial Line of Judgment (Lj)

The Cosmic Dance of History

At the heart of Kullok's discovery lies a simple equation: K = L - εT

Where:

• L is the latitude of a biblical territorial border in the Land of Israel
• εT is the mean obliquity (axial tilt) of the Earth at time T
• K is a constant angular value of 8.00895975⁰

This equation, elegant in its simplicity yet profound in its implications, suggests that the timing of major Israelite migrations throughout history is intrinsically linked to the Earth's inclination in space and the geographic tribal boundaries of the Biblical land of Israel.

“The inclination of the planet on the year of the immigration εT plus the K constant angular value equals a virtual celestial parallel latitude L of a mathematically correlated tribal border in the Biblical Land of Israel,” Kullok said.

The discovered equation L = εT + K holds true with remarkable precision!

*        The ε value is time-dependent. Over the past 9,000 years, ε has been decreasing, and this trend is expected to continue for the next 11,000 years. The value of ε follows a periodical change, along an astronomical cycle of about 41,000 years, between approximately 22.1⁰ and 24.5⁰. Its present value is of 23.437⁰.

*        The L values of the biblical territorial borders described in the Hebrew Bible are derived from multiple sources: satellite imagery, cartographic and topographic maps, and aerial photography maps provided by the Mapping Center of Israel.

Precision in Data and Calculations

Kullok's research is grounded in meticulous data collection and state-of-the-art astronomical calculations:

§  The latitude of borders (L) is obtained from satellite maps and the Maps Center of Israel, ensuring geographical precision.

§  The mean obliquity of the ecliptic (ε) is calculated using Laskar's 10th order Polynomial of 1986, a formula that NASA confirms is highly accurate for a 10,000-year period starting from January 2000 [6] [7].

§  This obliquity has been continuously decreasing over the 3,500 years covered by the study and continues to decrease with time. As of the study's publication, its value stood at 23.437⁰.

§  The K angular constant has an uncertainty of ± 0.07 arc seconds, which corresponds to ± 2.2 meters in the southern movement of the celestial Line of Judgment. The relative uncertainty of the K angular constant is very low (± 2.428 x 10⁻⁶, or about 2.5 parts per million). This level of precision is comparable to other physical constants (typically less than 1 part per million) and significantly more precise than the Gravitational constant. For comparison, the Gravitational constant has an uncertainty of 150 parts per million [8], making it at least 60 times less precise than the K angular constant (150 ÷ 2.428 > 60).

§  The rate of decrease in the ε value is not constant. From the first mathematically correlated biblical date (1436 BCE) in this research to the present day, an average decrease rate of 0.42 arc seconds per year can be calculated. Given this rate, the ± 0.07 arc second uncertainty in the K angular constant translates to a time uncertainty of approximately ± 2 months for the global timeline of this research.

This level of precision in both geographical and astronomical data lends significant credibility to Kullok's findings, allowing for mathematical accurate correlations across vast spans of time.

From Ancient Exodus to Modern Return

Kullok's research doesn't just span a few isolated incidents; it encompasses over 30 significant migratory events across three and a half millennia. From the Exodus from Egypt to the crossing of the Jordan River in 1436 BCE, from the Babylonian exile in 597 BCE to the return of nearly 50,000 Jews to Jerusalem in 538/537 BCE. This exile was a consequence of Jerusalem's destruction by the Assyrian empire in 586 BCE. The Assyrian empire was subsequently conquered by the Persians in 539 BCE, [9], and in 538 BCE, the Persian King Cyrus issued an edict permitting the Jewish people to return to Jerusalem.

But the mathematical correlation doesn't stop in ancient times. Kullok's work extends into the modern era, pinpointing crucial periods that shaped the formation of the modern state of Israel:

1. The years 1830–1840 marked the beginning of the Ottoman Empire's decline, opening a window for the British Empire to envision and promote the restoration of the Israelites to their ancestral land.
2. The period of 1947-1951 saw the largest wave of Jewish immigration since the Babylonian exile, with about 690,000 people doubling the existing Jewish population in Israel.

The Tools of Discovery

Kullok's research blend of ancient wisdom and modern science extends beyond just data collection:

• The Hebrew Bible's chronology served as a historical framework, with key events like the destruction of Solomon's Temple in 586 BCE serving as chronological anchors.
• Modern astronomical models allowed for precise calculations of the Earth's axial tilt throughout history and into the future.

Peering into the Future

Perhaps most intriguingly, Kullok's formula doesn't only validate the past — but also predicts future outcomes:

1. Beginning in 2020, Israel would see the start of its largest human migratory wave yet due to a worldwide raise of anti-Semitism.
2. The modern state of Israel would be in a continuous state of geo-political and security turmoil until 2039.

These predictions, based on mathematical correlations made before 2020, add an element of testability to Kullok's hypothesis and raise profound questions about the nature of time, human free will and destiny.

The Enigma of the K Angular Constant

One of the most fascinating aspects of Kullok's research is the angular constant K (8.00895975⁰). This value, derived empirically from historical and geographical data, also appears to have significance in ancient Hebrew texts. Kullok found that this same angular value plays a key role in the design of the largest water container in Solomon's first Temple. The Molten Sea or Brazen Sea (ים מוצק yām mūṣāq") was a large basin in the first Temple in Jerusalem made by Solomon (renamed by Kullok as the Sea of Salomon) for ablution of the priests. It is described in 1 Kings 7:23–26 and 2 Chronicles 4:2–5, and Talmudic sources [10] [11]. This convergence of empirical calculation and ancient tradition adds another layer of mystery and significance to Kullok's findings.

A Critical Perspective

While Saul Kullok's research presents a fascinating hypothesis, it is important to consider it through a critical lens. A balanced critique of his work raises several important points:

1. Spurious Correlations: In statistics, spurious correlations occur when two variables appear related but are, in fact, connected by coincidence or an unexamined third factor. Kullok's mathematical correlation between the Earth's axial tilt and Israelite migratory patterns could potentially fall into this category. Without clear methodology linking celestial mechanics to human movement, there's a risk of identifying a correlation without causation.
2. Lack of Precedent: There are no established scientific studies connecting human migrations with planetary or celestial mechanics. Mainstream migration studies typically focus on factors such as geography, climate, and sociopolitical pressures. Kullok's novel research stands alone in its approach, which limits its ability to draw comparisons with other data or analyses.
3. Peer Review Challenges: Without peer-reviewed studies that either validate or contest its findings, the work remains in a scientific midpoint of sorts.

However, it's crucial to note that while Kullok's multidisciplinary study is singular in its approach, it cannot be outright refuted. Its mathematical rigor and precise use of historical, geographical and astrophysical data demand further exploration, even if its hypotheses challenge conventional academic perspectives. The precision of the mathematical correlations across such vast time scales is, at the very least, intriguing and worthy of further investigation.

Retrocausality as a Framework for Understanding Kullok's Correlations

The concept of retrocausality - the idea that future events can influence the past - emerged as a serious scientific consideration in the mid-20th century through the work of physicists John Wheeler and Richard Feynman. Their Absorber Theory, proposed in 1945, allowed for signals to travel both forward and backward in time [12] (Wheeler & Feynman, 1945). This was further developed through John G. Cramer's Transactional Interpretation of quantum mechanics in the 1980s, which suggested that particles engage in a kind of "handshake" across time [13] (Cramer, 1986).

The high mathematical precision in Kullok's correlations between Earth's axial tilt and Jewish migrations might be explained through this retrocausality framework, where future states can influence past events through subtle quantum and statistical patterns. Rather than dismissing the correlations as mere statistical artifacts, the retrocausality framework suggests these patterns could be manifestations of future informational states reaching backward through time to shape and guide historical events toward coherent outcomes. The equation K = L - εT, with its remarkable mathematical precision (uncertainty of only ±0.07 arc seconds), might represent a concrete example of how future states can encode themselves into seemingly random or arbitrary constants of nature. The precise geographical alignments and migration patterns in Kullok's work could be viewed as temporal "fingerprints" of future existential states guiding collective human movement and settlement through subtle influences of astronomical mechanisms. The striking correspondence between Kullok's K constant (8.00895975⁰) and ancient Salomon’s First Temple measurements might indicate a deeper temporal coherence where future knowledge influences past architectural decisions through retrocausal feedback loops. This retrocausal interpretation could help explain why Kullok's predictions about future events (such as increased Jewish migration starting in 2020) are starting to show accuracy - these migratory events might be part of a self-reinforcing temporal pattern where future causal states guide their own emergence through astronomical and geographical alignments.

Implications and Controversies

If Kullok's research stands up to rigorous scrutiny, the implications are staggering:

1. It suggests that major events in Israelite history are predetermined by cosmic and geographic factors.
2. It implies a deep, mathematical synchrony between celestial mechanics, Earth's geography, and human migration patterns.
3. It challenges our understanding of free will and the nature of historical processes.
4. It could potentially bridge the gap between scientific inquiry and religious tradition in unprecedented ways.

A Call for Further Investigation

Kullok's work, presented at Torah-Science conferences and symposiums [14 [15], stands as a challenge to both the scientific and religious communities. It demands further investigation, rigorous peer review, and interdisciplinary collaboration. Questions abound:

• What mechanism could link the Earth's axial tilt to human migration?
• How do we interpret the precise mathematical correlations across millennia?
• Could similar migratory patterns be found in the histories of other peoples or regions?

Conclusion: On the Brink of a Paradigm Shift?

Saul Kullok's research stands as a testament to the power of interdisciplinary thinking and the potential for groundbreaking discoveries at the intersection of science and faith. If corroborated, his findings could trigger nothing short of a religious-scientific revolution, forcing us to reevaluate our understanding of history, astrophysics, geography, anthropology and the very nature of human destiny.

As we grapple with the implications of Kullok's work, we are reminded that the universe may be far more intricately designed—and our place in it far more precisely orchestrated—than we ever imagined. Whether this mathematical precision points to divine intervention, unknown natural laws, or synchronic extraordinary coincidence remains a question that will undoubtedly fuel debate and drive research for years to come.

In the end, Saul Kullok's legacy challenges us to keep our minds open, our calculations precise, and our sense of wonder alive as we continue to explore the magnificent tapestry of existence that surrounds us.

Appendix A

A list of 30 Lines of Judgment events with descriptive data for each event:

1. Crossing of the Jordan River Line of Judgment Event Timing Prediction: 1436 BCE Actual Date Event Occurred: 1436 BCE (Biblical) Description: Crossing of the Jordan River in front of Jericho by all the tribes of Israel, under Joshua, to enter their Biblical Promised Land.
2. Allotment of territory to the Tribe of Dan Line of Judgment Event Timing Prediction: 1429 BCE Actual Date Event Occurred: 1429 BCE (Biblical) Description: Allotment of territory of the Tribe of Dan. The 'Line of Judgment' was located inside Dan's territory. Part of its population needed to abandon their land and moved to a far northern location.
3. Allotment of territory to the Tribe of Benjamin Line of Judgment Event Timing Prediction: 1429 BCE Actual Date Event Occurred: 1429 BCE (Biblical) Description: Allotment of territory to the Tribe of Benjamin. The 'Line of Judgment' was located well inside Benjamin's territory. Almost all its population, men, women and children were wiped out in a war.
4. Split of the United Kingdom Line of Judgment Event Timing Prediction: 959 BCE Actual Date Event Occurred: 959 BCE (Biblical) Description: At King Solomon's death, the United Kingdom split into the Kingdom of Judah and the Kingdom of Israel. The Line of Judgment started to enter inside Reuben's territory.
5. Assyrian conquest of Israel Line of Judgment Event Timing Prediction: 722 BCE Actual Date Event Occurred: 722 BCE (Historical) Description: The kingdom of Israel is fully conquered by Assyria. The Line of Judgment was located well inside the territory of Reuben.
6. Start of Jeremiah's prophecy Line of Judgment Event Timing Prediction: 610 BCE Actual Date Event Occurred: 610 BCE (Historical) Description: The starting time of the 70 full years in Jeremiah's prophecy (Jeremiah 25:11-12; 29:10). Geographical latitude of the Ark of the Covenant, above the Foundation Stone, in the First Temple. The Line of Isaiah 28:16-17 and Lamentations 2:7-8
7. Death of King Josiah Line of Judgment Event Timing Prediction: 609 BCE Actual Date Event Occurred: 609 BCE (Historical) Description: Death of Josiah, the last king of Judah who revived the Torah (Battle of Megiddo). The Line of Judgment is on the Foundation Stone.
8. Line of Judgment moves Line of Judgment Event Timing Prediction: 608 BCE Actual Date Event Occurred: 608 BCE (Historical) Description: The Line of Judgment is outside the Holy of Holies and of the Foundation Stone (few meters south). Future positive events will unfold (Jeremiah 29:10).
9. Royal Court exiled Line of Judgment Event Timing Prediction: 597 BCE Actual Date Event Occurred: 597 BCE (Historical) Description: Royal Court exiled.
10. Destruction of First Temple Line of Judgment Event Timing Prediction: 586 BCE Actual Date Event Occurred: 586 BCE (Historical) Description: Destruction of Jerusalem and the First Temple.
11. End of Babylonian Empire Line of Judgment Event Timing Prediction: 539 BCE Actual Date Event Occurred: 539 BCE (Historical) Description: End of the "completed 70 years" of Jeremiah's prophecy. End of the Babylonian Empire. The Line of Judgment is in the southern border of the "Holy Mountain".
12. Cyrus Edict Line of Judgment Event Timing Prediction: 538 BCE Actual Date Event Occurred: 538 BCE (Historical) Description: In the first year of the Persian King Cyrus, the "Cyrus Edict" marked the end of the Babylonian Exile with the explicit purpose of building the Second Temple. The Line of Judgment reached few meters to the south of the "Holy Mountain".
13. Restarting Second Temple construction Line of Judgment Event Timing Prediction: 520 BCE Actual Date Event Occurred: 520 BCE (Historical) Description: Restarting the building of the Second Temple.
14. Inauguration of Second Temple Line of Judgment Event Timing Prediction: 516 BCE Actual Date Event Occurred: 516 BCE (Historical) Description: Inauguration of the Second Temple.
15. Maccabean Revolt Line of Judgment Event Timing Prediction: 167 BCE Actual Date Event Occurred: 167 BCE (Historical) Description: Maccabean Revolt.
16. Muhammad Ali's conquest Line of Judgment Event Timing Prediction: 1831 CE Actual Date Event Occurred: 1832 CE Description: Egyptian Muhammad Ali conquered Syria and the Land of Israel. A much better period starts for the Jewish population. In 1838 first British Consulate in Jerusalem. The Line of Judgment reaches the northern confluence of the Arnon River with the Dead Sea.
17. British Civil Rights for Jews Line of Judgment Event Timing Prediction: 1856 CE Actual Date Event Occurred: 1856 CE Description: The British Government granted Civil Rights to the Jews.
18. German Civil Rights and new settlements Line of Judgment Event Timing Prediction: 1860 CE Actual Date Event Occurred: 1860-1871 CE Description: In 1871 Germany granted Civil Rights to the Jews. From 1870 until 1897, 20 new settlements were established in Palestine.
19. First Aliyah Line of Judgment Event Timing Prediction: 1887 CE Actual Date Event Occurred: 1882-1903 CE Description: The First Aliyah to Palestine of about 35,000 Jewish immigrants.
20. Herzl's "The Jewish State" and First Zionist Congress Line of Judgment Event Timing Prediction: 1896 CE Actual Date Event Occurred: 1896-1897 CE Description: Theodor Herzl published "The Jewish State". In 1897 the First World Zionist Congress took place in Basel.
21. Second Aliyah Line of Judgment Event Timing Prediction: 1905 CE Actual Date Event Occurred: 1904-1914 CE Description: The Second Aliyah to Palestine, of about 40,000 Jewish immigrants.
22. Balfour Declaration Line of Judgment Event Timing Prediction: 1918 CE Actual Date Event Occurred: 1917 CE Description: Balfour Declaration.
23. Third Aliyah Line of Judgment Event Timing Prediction: 1919 CE Actual Date Event Occurred: 1919-1923 CE Description: The Third Aliyah to Palestine, of about 40,000 Jewish immigrants.
24. Fifth Aliyah Line of Judgment Event Timing Prediction: 1930 CE Actual Date Event Occurred: 1929-1939 CE Description: The Fifth Aliyah to Palestine, of about 250,000 Jewish immigrants.
25. Aliyah Bet Line of Judgment Event Timing Prediction: 1935 CE Actual Date Event Occurred: 1934-1948 CE Description: The illegal "Aliyah Bet" brought about 120,000 Jewish immigrants.
26. Mass Aliyah and Israel's establishment Line of Judgment Event Timing Prediction: 1941-1951 CE Actual Date Event Occurred: 1941-1951 CE Description: The largest southern movements outside the Biblical Land of Israel of the Line of Judgment. 1947 UN Partition Plan. 1948 Declaration of the State of Israel. From 1948 to 1951, Israel experienced a period of Mass Aliyah, during which the Jewish population approximately doubled with the arrival of about 650,000 to 690,000 new Jewish immigrants.
27. Six-Day War and Soviet immigration Line of Judgment Event Timing Prediction: 1967 CE Actual Date Event Occurred: 1967-1980 CE Description: The Six-Day War. From 1970 to 1980 about 200,000 Jews immigrated to the State of Israel from the Soviet Union.
28. Unnamed event Line of Judgment Event Timing Prediction: 1978-1982 CE Actual Date Event Occurred: 1978-1982 CE Description: [No description provided]
29. New waves of Aliyah Line of Judgment Event Timing Prediction: 1984-1987 CE Actual Date Event Occurred: 1984-1989 CE Description: New waves of Aliyah of approximately 200,000 Jewish immigrants.
30. Post-Soviet Aliyah Line of Judgment Event Timing Prediction: 1989-2000 CE Actual Date Event Occurred: 1989-2000 CE Description: Approximately 1,000,000 immigrants from the former Soviet Union arrived in Israel during the 1990s and early 2000s, in what is known as the Post-Soviet Aliyah.
31. Disengagement from Gaza Line of Judgment Event Timing Prediction: 2005 CE Actual Date Event Occurred: 2005 CE Description: Disengagement from Gaza: Expulsion of Jewish settlers from the territory of Gush Katif.

References

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7. SAO/NASA ADS, Astronomy Abstract Service.
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9. Kullok S., The City of David “At the Beginning of a Scientific-Religious Revolution” self-published booklet, Israel, 1981.
10. Torah-Science Symposium held at Bar-Ilan University, Israel, in a Lecture entitled "The Sea of Solomon and the value of π", on July 24, 1975.
11. Torah-Science Conference held at Bar-Ilan University, Israel, in a Lecture entitled "The Forgotten Vessel of the First Temple of Jerusalem”, on April 14, 2016.
12. Wheeler, J. A., & Feynman, R. P. (1945). Interaction with the Absorber as the Mechanism of Radiation. Reviews of Modern Physics, 17(2-3), 157-181.
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14. Torah-Science Conference held at the Academic College of Education Hemdat Hadarom, Israel on March 26, 2015.
15. Torah-Science Conference held at Bar-Ilan University, Israel on March 22, 2018.