WHGR World Historical Geopolitical Resonance — A Public Explanation of the Concept and Purpose —

WHGR

World Historical Geopolitical Resonance

世界歴史地政学的共鳴指標

— A Public Explanation of the Concept and Purpose —

White & Green Co., Ltd. | Hiroshi Yamada | April 2026

⚠️ This page explains the concept and purpose of WHGR for a general audience. Calculation details, coefficients, and specific pattern conditions are proprietary and not disclosed.

Introduction — What Is WHGR?

WHGR (World Historical Geopolitical Resonance) is a proprietary indicator developed by Hiroshi Yamada of White & Green Co., Ltd. In Japanese, it translates as 世界歴史地政学的共鳴指標 — “World Historical Geopolitical Resonance Index.”

In a single sentence: WHGR is an attempt to quantify how likely a given day is to become a turning point — for a specific asset, person, organization, or nation.

The Questions WHGR Is Built to Answer

“Why does history tend to move dramatically on certain days, under certain people?”

“Can we know in advance whether today is an ‘ordinary day’ or a day that is structurally prone to becoming a turning point?”

WHGR attempts to answer these questions by combining Eastern divination theory (Ba Zi / Four Pillars of Destiny, the Stem-Branch system) with geopolitical analysis and historical research.

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1. Background: The 270-Year Civilizational Cycle Theory

1.1 Where It All Begins

WHGR did not emerge in isolation. It was developed as a practical application tool within the broader framework of the 270-Year Civilizational Transition Cycle Theory — a research program that author Hiroshi Yamada has pursued for many years.

The theory proposes that human civilization — its dominant powers, religions, and economies — undergoes major structural transitions at approximately 270-year intervals. The decline of the Roman Empire, the rise of Islamic civilization, the Mongol expansion, the dawn of the Age of Discovery, the Industrial Revolution, and the current trend toward multipolarity: these events appear to recur at roughly equal intervals of 270 years. This pattern has been statistically verified against historical turning-point data across multiple nations and civilizations.

Published Research (Zenodo)
  • Paper A: Statistical validation of the 270-year cycle (p < 0.0001 · Cohen’s d = 5.76)
  • Paper B: The mathematical uniqueness of 270 as a base number (p = 0.0040 · Cohen’s d = 3.59)
  • Paper D: Lattice Expansion Theory — applying the 270-year cycle across multiple civilizations
  • Paper E: Applied research (follow-up)

DOI: 10.5281/zenodo.15193820 (Paper A)

1.2 From Macro to Micro

If a 270-year macro-cycle exists, the natural next question is:

The Scale-Down Question

“Does a similar rhythm exist at the 10-year, 1-year, or even daily scale?”

WHGR is one answer to this question. It attempts to scale the temporal rhythm underlying the 270-year macro-cycle down to shorter timeframes — quantifying “turning-point energy” at the level of a single day.

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2. The WHGR Concept

2.1 Turning-Point Volatility

What WHGR attempts to measure is “turning-point volatility” — the degree to which a given day is structurally prone to hosting significant change or transition.

This is conceptually similar to “volatility” in financial markets, but with a crucial difference: WHGR does not measure the magnitude of price movements. Instead it measures whether a day has the historical and geopolitical structure of a turning point.

WHGR ReadingMeaning
High positive value (e.g. +300 or above)Turning-point energy is elevated for a specific asset, person, or nation on that day
High negative value (e.g. −150 or below)Geopolitical energy is suppressed or latent — counter-pressure is accumulating
Neutral (within ±150)No special turning-point pressure — an “ordinary day”
Important Clarification

A WHGR value does not directly indicate whether a market will go up or down. It indicates only whether a day is structurally prone to hosting significant movement of some kind.

2.2 Two WHGR Indicators: SP-WHGR and W-WHGR

WHGR comprises two primary indicators:

IndicatorAbbreviationWhat It Measures
SP-WHGRSpecific WHGRThe turning-point energy specific to a particular target (asset, person, or nation), calculated from the Stem-Branch of that target’s founding or birth date
W-WHGRWorld WHGRThe geopolitical turning-point energy of the world at large — a “macro-level fluctuation energy” independent of any specific target
Key Finding: The Two Indicators Function Independently

Statistical analysis of 6,598 trading days (2000–2026) of S&P 500 data revealed that SP-WHGR and W-WHGR influence markets not through their difference, but through their individual absolute levels — independently of each other.

In other words, “world energy” and “S&P 500-specific energy” are distinct phenomena. Specific patterns emerge only when the two overlap in particular ways.

2.3 The Three Intellectual Pillars of WHGR

WHGR integrates three intellectual traditions:

TraditionContribution to WHGR
① Ba Zi / Stem-Branch Theory (Eastern Divination)The concept of reading the qualitative “texture” of time through the Ten Stems and Twelve Branches. The Five Element energy (Wood, Fire, Earth, Metal, Water) of a given day is used as contextual information for turning-point analysis.
② Jyotisha (Vedic Astrology)The concept of aspect energy — the idea that specific angular distances between a reference point and a current position generate “resonance.” Applied to WHGR’s calculation framework.
③ History and GeopoliticsEmpirical verification through cross-referencing with actual historical turning-point data. The evidentiary foundation of the 270-year cycle theory.
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3. How WHGR Works (Conceptual Level)

※ The following explains the concept only. Specific formulas, coefficients, and technical details are proprietary and not disclosed.

3.1 Resonance

The word “Resonance” in WHGR is borrowed from physics and music.

A string on an instrument vibrates most powerfully at specific frequencies — it resonates. In WHGR, when the Stem-Branch of a specific day stands in a particular relationship to the Stem-Branch of a target’s founding moment, that target enters a state of heightened resonance. When resonance occurs, energy is amplified and turning points become more likely.

Type of ResonanceDescriptionEffect
Strong positive resonanceEnergy congenial to the target is elevatedStrong positive turning-point energy
Strong negative resonanceEnergy that pressures the target is elevatedStrong negative turning-point energy (source of reversal)
NeutralTurning-point energy is lowAn ordinary day — no particular structural impetus for movement

3.2 Reading the WHGR Number

WHGR outputs a numerical value. Higher values indicate that turning-point energy is elevated; lower (negative) values indicate that energy is suppressed or latent. Values can be either positive or negative.

3.3 The Relationship with the Five Elements

WHGR is deeply connected to Ba Zi (Four Pillars of Destiny) theory. In particular, Five Element transitions — the shift from one element (Wood, Fire, Earth, Metal, Water) to another between consecutive days — have been statistically confirmed to produce distinctive market effects when combined with WHGR values.

Five Element Transitions Combined with WHGR
  • The rhythm of “intensification (Fire day) → transition (Earth day)” has been found to carry particularly strong market effects when WHGR values are at certain levels
  • When Water energy is consecutive (latency and deepening) and W-WHGR values are simultaneously low, an upward bias the following day has been observed

※ Specific pattern conditions, coefficients, and thresholds are not disclosed.

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4. Statistical Validation Overview

4.1 Methodology: Split-Period Validation

WHGR is not grounded in belief or intuition alone. Its validity has been objectively tested through statistical cross-referencing with actual market data.

The study uses split-period validation — strictly separating a learning period from a validation period. By confirming that patterns discovered in the learning period reproduce in the validation period, the risk of overfitting (post-hoc interpretation) is minimized.

6,598
Trading days validated
26 yrs
Study period (2000–2026)
2
Separate periods
(learning / validation)
Validation DataDetails
Target assetS&P 500 (US equity index) — daily closing prices
PeriodJanuary 2000 – April 2026 (~26 years)
Data points6,598 trading days
Learning period2000–2011 (3,017 days)
Validation period2012–2026 (3,582 days)
Statistical testWelch’s t-test (unequal variance, two-tailed)

4.2 Key Findings

FindingStatistical EvidenceMeaning
Proposition 1p = 0.0021 · Cohen’s d = +0.437 (medium effect size) · Reproduced in validation period ✅On days when SP-WHGR exceeds a certain threshold AND a Fire→Earth Five Element transition occurs, next-day rise probability is significantly elevated
Proposition 2p = 0.0134 · Cohen’s d = +0.278 (small-to-medium effect size)On days when W-WHGR falls below a certain threshold AND consecutive Water energy is present, next-day rise probability is significantly elevated
Null findingDifference, sum, and sign combinations: no significant patterns foundSP-WHGR and W-WHGR function through their individual absolute levels — not their difference. They are independent information sources.
What Is Cohen’s d? (For General Readers)

Cohen’s d measures the size of an effect — as distinct from the p-value, which measures whether an effect is statistically real. The p-value tells you “this is not random chance”; Cohen’s d tells you “how large is the effect?”

  • d = 0.2 = small · d = 0.5 = medium · d = 0.8 = large (standard benchmarks in social science)
  • Proposition 1’s Cohen’s d = 0.437 represents a practically meaningful medium-sized effect

4.3 Five Elements Alone Have No Predictive Power

An important null finding: the Five Elements of the Stem-Branch system, taken alone, show no statistically significant influence on the market. All five elements produced nearly identical next-day rise rates (31–33%).

“Today is an Earth day, therefore the market will rise” — this does not hold

WHGR’s effectiveness is realized only under the compound condition of “WHGR value × Five Element transition context.” This is the most fundamental distinction between WHGR and conventional Stem-Branch divination systems.

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5. Applications of WHGR

5.1 Financial Markets

The most empirically grounded application domain for WHGR is financial markets. Ongoing research covers equity indices (S&P 500, Nikkei 225), commodity markets (crude oil, gold), and foreign exchange markets.

Every financial asset has a specific Stem-Branch corresponding to the day trading began. SP-WHGR calculated from that founding Stem-Branch allows estimation of the asset’s inherent turning-point energy. Combined with W-WHGR, more precise analysis becomes possible.

5.2 Geopolitics and Mundane Analysis

WHGR is applicable not only to individual destiny but to the analysis of national, political, and social transitions — what is known in astrology as mundane analysis.

By using the Stem-Branch of a nation’s founding date, a government’s inauguration, or a treaty’s signing as the reference, the turning-point energy for that nation or administration can be estimated. Overlaying each country’s WHGR values with the current geopolitical landscape allows analysis of the timing of conflicts, diplomatic pivots, and economic crises.

Application TargetWHGR Use Case
Major nations (US, China, Russia, etc.)Estimating periods when each country’s turning-point energy is likely to peak
Energy markets (WTI crude, natural gas)Correlation analysis with geopolitical risks such as Strait of Hormuz closure scenarios
Financial crises and major market turning pointsCross-referencing past major events with WHGR values for retrospective validation
Political leaders — individual analysisExamining the overlap between a leader’s personal turning points and national turning points

5.3 Individual Analysis (P-WHGR)

WHGR can be applied to individuals as well. P-WHGR (Personal WHGR), calculated from the Stem-Branch of a person’s birth date and time, indicates the relative elevation or suppression of turning-point energy for that individual.

※ Stem-Branch information derived from individual birth dates is extremely sensitive personal data. No individual calculation results are disclosed publicly.

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6. WHGR and the 270-Year Cycle Theory

Time ScaleTheoryWhat It Shows
Centuries to millennia270-Year Civilizational Cycle Theory (Papers A–E)The rhythm of major transitions in civilization, hegemony, religion, and economy
DecadesLong-arc analysis (macro turning periods)Long-term transition periods for nations, organizations, and individuals
Daily to monthlyWHGR values (the subject of this page)Measurement of turning-point energy at the level of a specific day

WHGR is an attempt to find the “small wave” within the “large wave” of the 270-year cycle. The working hypothesis under investigation is that during major transition periods (the nodal points of the 270-year cycle), daily WHGR values also tend to reach notably elevated levels.

The Contemporary Context: Transition to a Multipolar World

According to the 270-year cycle theory, the 2020s correspond to approximately 270 years after the 1750s — the eve of the Industrial Revolution. Just as the British-led Industrial Revolution rewrote the world order that followed, the present era marks the transition from the dollar-reserve / Western-centered order toward multipolarity. In precisely this kind of macro turning period, a tool like WHGR — designed to read the timing of turning points — becomes most valuable.

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7. How WHGR Differs from Other Systems

7.1 vs. Western Astrology

DimensionWestern AstrologyWHGR
Reference systemActual celestial body positions (planets)Stem-Branch system (symbolic time structure)
Time axisTransits and progressionsDaily numerical output
Quantitative?Qualitative (directional assessment)Quantitative (numerical output)
Statistical validationRarely performedSplit-period validation · Welch’s t-test · p-values confirmed
IndividualizationNatal horoscope (individual chart)Target-specific numerical value from founding Stem-Branch

7.2 vs. Ba Zi (Four Pillars of Destiny)

DimensionBa ZiWHGR
PurposeIndividual destiny, character, timing of fortuneQuantitative measurement of turning-point energy
ScopePrimarily individualsIndividuals, organizations, nations, financial assets
OutputQualitative interpretation (pattern, useful god, fortune)Quantitative numerical value
Statistical validationRarely performedStatistically validated against real data
ApplicationIndividual readings, mundaneGeopolitical analysis, financial markets, historical research

7.3 vs. Technical Indicators

WHGR Is a Price-Independent External Variable
  • Technical indicators: past price → predict future price (internal variable)
  • Fundamental indicators: earnings / economic data → price effect (external variable)
  • WHGR: Stem-Branch / historical rhythm → turning-point energy (fully price-independent external variable)

As a variable that is entirely independent of price, WHGR carries potential complementary value when combined with existing technical analysis frameworks.

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8. Limitations and Intellectual Honesty

8.1 Known Limitations

  • WHGR does not directly indicate market direction (up or down) — it indicates the relative elevation of turning-point energy only
  • Statistically significant patterns have been confirmed for the S&P 500 only at this stage; validation for other assets is ongoing
  • Patterns with small sample sizes (e.g. N = 33) require further work to establish statistical robustness
  • The multiple testing problem (the risk that patterns appear significant by chance when many are tested) is addressed through split-period validation, but cannot be eliminated entirely
  • The validity of the founding Stem-Branch as the reference for calculation requires continued verification

8.2 Position as Exploratory Research

The Author’s Position

All papers currently published are positioned as Exploratory Studies. Reaching definitive conclusions requires replication on additional independent datasets and publication in peer-reviewed academic journals.

The author does not claim WHGR is a completed theory. It is a hypothesis system with promising findings — and the research continues with full intellectual honesty.

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9. Research Roadmap

9.1 Expanding Validation

  • Applying the same analysis to Nikkei 225, WTI crude oil, and COMEX gold
  • Sub-period analysis within 2012–2026 (post-Lehman / post-COVID / AI bull market)
  • Compound analysis for days when both Proposition 1 and Proposition 2 hold simultaneously
  • Application to foreign exchange markets (USD/JPY, etc.)

9.2 Theoretical Deepening

  • Verifying the correlation between 270-year cycle turning points and daily WHGR values
  • Full-scale application to mundane analysis (nations and geopolitics)
  • Submission to peer-reviewed academic journals

9.3 Planned Disclosures

InformationCurrent StatusPlanned Disclosure
WHGR concept and purposePublished on this pageAlready public
Statistical validation results (p-values, effect sizes)Published on ZenodoAlready public
Validation results for other assets (WTI, gold, Nikkei)Analysis in progressUpon paper completion
Calculation methodology overview (academic)Not yet disclosedAs peer-reviewed paper
Specific coefficients and calculation detailsProprietaryNot planned for disclosure
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Closing Thoughts

WHGR is an attempt to build a bridge between the wisdom of Eastern divination and modern statistical science.

“Why does history move at specific moments?” — this question has been asked since the beginning of human civilization. By combining the distilled experiential wisdom of thousands of years encoded in the Stem-Branch system with modern statistical verification methods, we believe it is possible to inch toward a more objective answer to this question, one finding at a time.

WHGR research is still very much in progress. Our papers are published openly on Zenodo, and we warmly welcome feedback and critique.

Papers and Contact
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