Solar Vortex Theory

Interactive Scalar Calculators

Seven precision instruments for exploring the Solar Vortex framework. Every constant is disclosed. Every calculation is transparent.

7 calculators · Planetary Cadence · Hale Cycle · Vault-Lock · Stellar Cadence
Jump to:
1 Cadence
2 Hale
3 Vault
4 Stellar
5 Rotation
6 History
7 Calendars

Why 360 Days? Why 260? What About 365.25?

The Harmonic Year vs. The Astronomical Year

The most common question about these calculators: "Why do you use 360 days instead of 365.25 days for a year?" This isn't an error or approximation—it's one of the most important insights of the Solar Vortex Theory.

🔢 The 365.25-Day Year Doesn't Resonate

Try this calculation yourself: 365.242 × 18.6624 ÷ 216 = 31.5569

Now try: 8,087.04 ÷ 31.5569 = 256.25 — not a whole number!

The 365.25-day year does not mesh with the solar gear system. It produces fractional, non-harmonic results. It's like a gear with broken teeth—it doesn't engage cleanly with the Sun's magnetic cycle.

📐 Why 360 is the Universal Harmonic

The number 360 emerges from two independent solar rotation rates:

Equatorial Spin (25 days)
25 × 14.4 = 360
Mid-Latitude Spin (31.104 days)
31.104 × 11.574074 = 360

Two different solar latitudes, two different spin rates, one identical result: 360. This is why ancient civilizations (Maya, Egyptian, Babylonian, Vedic) all used 360-day calendars and 360° circles—they were encoding scalar truth, not making approximations.

The 360-day "Harmonic Year" also emerges from the Earth-Moon binary system:

(365 + 355) ÷ 2 = 360
Solar year (365 days) + Lunar year (355 days) averaged = Harmonic year (360 days)

🌟 Why 260? The Venus Connection

The number 260 isn't arbitrary either—it's Venus's scalar signature:

Venus AU (0.7222...) × 360 = 260 days

This is why the Maya Tzolk'in calendar is exactly 260 days—it tracks Venus's harmonic period, not Earth's. The Maya recognized that Venus and Earth form a resonant pair:

  • 260 days (Tzolk'in) = Venus's scalar signature, associated with compressed/radiant energy
  • 360 days (Tun) = Earth-Moon's scalar signature, associated with expanded/vault energy
  • 260 × 360 = 93,600 = The "Super Cycle" that governs long-term solar modulation

⚙️ How 260 and 360 Create the Hale Cycle

Watch how these numbers interlock to produce the Sun's 22-year magnetic cycle:

Earth: 360 days × 18.6624 ÷ 216 = 31.104 (spin rate)
31.104 × 260 = 8,087.04 days (Hale Cycle)

Venus: 260 days × 18.6624 ÷ 216 = 22.464 (spin rate)
22.464 × 360 = 8,087.04 days (Hale Cycle)

Earth uses 260 as its multiplier. Venus uses 360. Both arrive at exactly 8,087.04 days—the Hale Cycle. The numbers are complementary partners in a cosmic dance.

💡 Key Insight

The Solar Vortex Theory uses harmonic years (360), not astronomical years (365.25), because the solar system operates as a resonant machine. The 365.25-day year is a measurement of Earth's wobbling orbit—useful for agriculture, but useless for understanding solar physics. The 360-day year is the mathematical signature of planetary resonance.

"The Maya didn't just count days—they measured the waveform of the Sun." — Solar Vortex Theory

How These Calculators Work Together

Understanding the Unified Scalar Framework

The Big Picture: These six calculators aren't independent tools—they're windows into a single, unified mathematical system. Think of them like six different views of the same diamond. Each calculator reveals a different facet, but they all reflect the same underlying structure: the solar system operates as a harmonic machine governed by a small set of universal constants.

🔗 The Six Constants That Connect Everything

Every calculator uses the same six numbers. When the same constants produce correct results across completely different calculations, it suggests they reflect something real about nature:

432,000
The Sun's radius in miles. Multiplied by AU to get each planet's "scalar radius."
1,343.6928
The "curvature coefficient." Converts scalar radius to orbital circumference.
18.6624
The velocity constant (miles/second). Converts space to time.
3.1104
"Scalar Pi." A modified π that accounts for spiral curvature, not flat circles.
11.574074074
The "spin-orbit constant." Bridges orbital period to rotation rate.
8,087.04
The Hale Cycle in days (~22 years). The Sun's magnetic "heartbeat."

📊 How the Calculators Build on Each Other

The calculators are arranged in a logical sequence, each building on discoveries from the previous ones:

Calculator 1 (Planetary Cadence) establishes the foundation: AU × 360 = orbital period in days. This simple formula works for every planet, proving that distance alone determines timing. The "spin rate" output from this calculator feeds directly into Calculator 2.

Calculator 2 (Hale Cycle) takes the spin rate from Calculator 1 and shows that spin rate × loops = 8,087.04 days for ALL planets. This proves the entire solar system is synchronized to the Sun's 22-year magnetic cycle. The Hale Cycle constant (8,087.04) connects to Calculator 6's climate waves.

Calculator 3 (Vault-Lock) validates Calculators 1 and 2 by showing that the constants form a "closed loop." Start with a number, run it through four transformations using the scalar constants, and you get the same number back. This mathematical closure is the theory's strongest evidence.

Calculator 4 (Stellar Cadence) extends the framework beyond our solar system. The 80-50-130 triplet from nearby stars produces the SAME constants (1,343.6928, 31.104) found in Calculators 1-3. This suggests our Sun is part of a larger galactic harmonic network.

Calculator 5 (Solar Rotation) looks inside the Sun itself. The 31.104-day rotation at 30° latitude (the "mid-latitude spin") is the same number that appears in Calculator 1's spin rate for Earth. The Sun's internal structure encodes planetary timing!

Calculator 6 (Historical Correlator) applies the framework to human history. The 3,600-year "Destroyer Cycle" is 1,343.6928 × 2.678... (a harmonic multiple of the curvature coefficient). Major historical events cluster at wave peaks and troughs, suggesting solar cycles influence civilization.

🎯 The Key Insight: Everything Derives from Distance

The revolutionary claim of the Solar Vortex Theory is that you only need ONE input—a planet's distance from the Sun (in AU)—to calculate everything else: orbital period, spin rate, scalar radius, Hale Cycle contribution, and even climate influence. In contrast, traditional physics requires knowing mass, gravitational constants, and orbital velocity.

This matters because if the theory is correct, it means:

  • The solar system was not assembled randomly by gravity—it was organized harmonically
  • Planetary positions are not accidents—they are "tuned" to specific scalar shells
  • Solar cycles (sunspots, magnetic flips, climate epochs) are predictable using simple arithmetic
  • Ancient calendars (360-day year, 260-day Tzolk'in) may reflect awareness of scalar mathematics

🧪 Test It Yourself: The Cross-Calculator Challenge

Here's how to verify the interconnections:

  1. Start with Calculator 1: Enter Earth's AU (1.0). Note the "Spin Rate" result: 31.104 days.
  2. Go to Calculator 5: Enter 30° latitude. The "Rotation Period" should be approximately 31.104 days—the same number! The Sun's mid-latitude rotation matches Earth's scalar spin rate.
  3. Go to Calculator 2: Enter AU = 1.0. The "Loops of Force" shows 260. Multiply: 31.104 × 260 = 8,087.04 days (the Hale Cycle).
  4. Go to Calculator 4: Select the "130-branch." The "Heliopause Figure-8" shows 1,343.6928 years—the same curvature coefficient from Calculator 3!
  5. Go to Calculator 6: Note that the 3,600-year cycle is exactly 1,343.6928 × 2.678... The climate wave is built from the same constant.

The fact that the same six constants appear across planetary orbits, solar rotation, stellar cadence, and historical climate patterns—always producing mathematically closed loops—is either an extraordinary coincidence or evidence of a unified harmonic structure underlying the cosmos.

Core Framework

1Planetary Cadence

Derive all scalar values from any AU distance

2Hale Cycle Gearing

Verify the 8,087.04-day universal convergence

3Vault-Lock Verifier

Test the 3-step sequence that replaces Kepler

Extended Applications

4Stellar Cadence

Explore the 80-50-130 stellar triplet cascade

5Solar Rotation Bands

Differential rotation by solar latitude

6Historical Correlator

Map any year to the scalar wave position

Ancient Calendar Wisdom

7Ancient Calendar Harmonics

Compare Mayan, Sumerian, Egyptian & Gregorian systems

Planetary Cadence Calculator

The foundation of scalar cosmology: AU as the single independent variable from which all orbital properties derive.

🌍 What This Calculator Does (click to expand)

In simple terms: This calculator shows that you can predict exactly how long it takes any planet to orbit the Sun using just ONE number—its distance from the Sun (measured in AU, or Astronomical Units). You don't need to know the planet's mass, speed, or any complex physics.

Why this matters: Traditional physics (Kepler's Laws) says you need to know a planet's mass and gravitational forces to calculate its orbit. The Solar Vortex Theory proposes something radically simpler: distance alone determines orbital timing. The universe operates like a giant clock where each planet's "tick" is determined purely by where it sits in the solar system.

The magic formula: Simply multiply any planet's AU distance by 360, and you get its orbital period in days. Earth is 1 AU from the Sun, so 1 × 360 = 360 days (close to our 365-day year). Venus is 0.7222... AU, so 0.7222... × 360 = 260 days (matching the Maya Tzolk'in in Calculator 7!).

How it fits the Solar Vortex Theory: This calculator demonstrates the theory's core claim—that the solar system is a harmonic machine, not a random gravitational accident. Each planet occupies a specific "scalar shell" tuned by the Sun's internal geometry. The number 432,000 (the Sun's radius in miles) is the master key that unlocks all planetary positions.

🔗 Cross-reference: The "Spin Rate" from this calculator feeds directly into Calculator 2 (Hale Cycle). The same AU values work in Calculator 3 (Vault-Lock) to prove closure.

Quick presets:
Please enter a value between 0.001 and 100 AU
Valid range: 0.001 - 100 AU

Derived Scalar Values

Reading the results: The "Planetary Signature" (AU × 360) should match the "Verification" value calculated through the full scalar sequence. When they match, it proves the harmonic relationship is real—not a mathematical trick.

Planetary Signature

360.000 days

Scalar Radius

432,000 miles

Orbital Circumference

580,475,289.6 miles

Orbital Period

31,104,000 seconds

Spin Rate

31.104 days

Verification (AU × 360)

360.000 days

Harmonic Closure Confirmed

The scalar-derived period matches the AU × 360 signature exactly, confirming scalar resonance.

Fig. 1 — Planetary scalar radius comparison. Your input (gold) shown against all planets. Values derived from AU × 432,000.

Hale Cycle Gearing Calculator

Every planet resolves to the same scalar invariant: 8,087.04 days. This confirms that mass and velocity are irrelevant—only spin-loop synchronization matters.

☀️ What This Calculator Does (click to expand)

In simple terms: The Sun has a heartbeat—a 22-year magnetic cycle called the "Hale Cycle" where its magnetic poles flip. Scientists have observed this for centuries but never fully explained WHY it's exactly 22 years. This calculator shows that every planet in our solar system is "geared" to produce this exact cycle through harmonic resonance.

Why this matters: Imagine every planet as a gear in a cosmic clock. Each gear spins at a different speed, but when you multiply each planet's spin rate by its number of rotations, they ALL produce the same result: 8,087.04 days (≈22.15 years). This is like finding that every road in a city, regardless of length or speed limit, takes exactly the same time to travel—it suggests the city was designed, not randomly built.

The key insight: Mercury needs 676 "loops" at its fast spin rate. Earth needs 260 loops at its medium spin rate. Saturn needs only 27 loops at its slow spin rate. Yet all three calculations yield 8,087.04 days. This universal convergence suggests planetary orbits aren't gravitational accidents—they're synchronized to the Sun's internal rhythm.

How it fits the Solar Vortex Theory: The Hale Cycle is the Sun's "breath"—a 22-year inhale/exhale of magnetic energy. The theory proposes that planets don't just orbit the Sun; they actively participate in regulating this breath through electromagnetic coupling. The Hale Cycle isn't caused by random plasma flows inside the Sun—it's mechanically computed by the entire planetary system working together.

🔗 Cross-reference: Earth's 260 loops matches the Maya Tzolk'in (Calculator 7). The spin rate comes from Calculator 5 at 30° latitude. See historical Hale Cycle effects in Calculator 6 (Carrington Event).

Quick presets:
Please enter a value between 0.001 and 100 AU

Hale Cycle Derivation

Reading the results: Watch the "Hale Cycle Product" at the bottom. No matter which planet you select, this value should always equal 8,087.04 days. The "Loops of Force" shows how many magnetic cycles that planet contributes to one complete Hale Cycle.

1
Calculate Scalar Radius
AU × 1343.6928 = 1343.6928
2
Derive Spin Rate
Scalar Radius ÷ 43.2 = 31.104 days
3
Calculate Loops of Force
8087.04 ÷ Spin Rate = 260 loops
4
Verify Hale Cycle
Spin Rate × Loops = 8087.04 days

Spin Rate

31.104 days

Loops of Force

260 loops

Hale Cycle Product

8087.04 days

Hale Cycle (Years)

22.156 years

Universal Convergence Confirmed

Spin Rate × Loops = 8,087.04 days — the universal breath loop signature.

Fig. 2 — Universal Hale Cycle convergence. Despite vastly different spin rates and loop counts, all planets resolve to 8,087.04 days. Your input shown in gold.

Vault-Lock Verifier

The 3-step scalar sequence that replaces Kepler's mass-dependent equations. When the vault "locks," space, time, and motion are harmonically reconciled.

🔐 What This Calculator Does (click to expand)

In simple terms: This calculator demonstrates a remarkable "closed loop" in nature. Start with a planet's distance from the Sun, run it through four mathematical steps involving space and time, and you end up back at the EXACT same number you started with. It's like walking through a maze and finding yourself at the entrance—proof that the path was designed, not random.

Why this matters: In 1609, Johannes Kepler discovered that planets move in ellipses, but his equations require knowing each planet's mass and gravitational pull. The Vault-Lock sequence uses ONLY distance and six universal constants to achieve the same result. If the "vault locks" (the final number equals the starting number), it proves the relationship is mathematically exact—not an approximation or coincidence.

The four steps explained:
Step 1: Multiply distance by 432,000 (the Sun's radius) → gives the planet's "scalar radius"
Step 2: Multiply by 1,343.6928 (curvature coefficient) → gives orbital circumference
Step 3: Divide by 18.6624 (velocity constant) → converts space to time (seconds)
Step 4: Divide by 72 → and you're back to the original scalar radius!

How it fits the Solar Vortex Theory: The vault-locking mechanism is the theory's "smoking gun." It shows that space (distance) and time (orbital period) are not independent—they're two expressions of the same underlying harmonic structure. The universe isn't held together by gravity alone; it's organized by mathematical resonance, like a perfectly tuned instrument.

Quick presets:
Please enter a value between 0.001 and 100 AU

Vault-Locking Sequence

Reading the results: Watch Step 1 and Step 4. If the vault "locks," these two numbers will be identical (or nearly identical). The 🔒 icon confirms successful closure. Try different planets—the vault should lock for ALL of them!

1
Space: Scalar Radius
AU × 432,000 = 432,000 miles

Anchors the planet's orbital shell in scalar space

2
Space: Orbital Circumference
Scalar Radius × 1343.6928 = 580,475,289.6 miles

Defines the energetic boundary of the orbit

3
Time: Orbital Period
Circumference ÷ 18.6624 = 31,104,000 seconds

Velocity remains constant due to uniform plasma density

4
Closure: Return to Scalar Radius
Time ÷ 72 = 432,000 miles

Closes the harmonic loop and locks the vault

🔒

VAULT LOCKED

Original Scalar Radius (432,000) = Returned Value (432,000)

Fig. 3 — Vault-locking closure loop. The sequence transforms Space → Space → Time → Space, returning to the original scalar radius and confirming harmonic closure.

Stellar Cadence Calculator

The integers 80, 50, and 130 encode the mixed cadence contributions of Alpha Centauri and Sirius, generating a hierarchical cadence engine.

⭐ What This Calculator Does (click to expand)

In simple terms: Our Sun doesn't exist in isolation—it's part of a stellar neighborhood that includes Alpha Centauri (our closest star system, 4.37 light-years away) and Sirius (the brightest star in our sky, 8.6 light-years away). This calculator shows how the orbital rhythms of these nearby stars might influence our own solar system through harmonic resonance.

Why this matters: The numbers 80, 50, and 130 aren't arbitrary—they represent orbital periods from our stellar neighbors. Alpha Centauri A and B orbit each other every 80 years. Sirius A and B orbit each other approximately every 50 years. And 80 + 50 = 130, which becomes a "closure" value. When you plug these numbers into scalar equations, they produce the same constants (like 1,343.6928) that govern our own solar system!

The four layers:
Layer 1 - Orbital Cadence: Days-scale rhythms tied to planetary motion
Layer 2 - Spin Cadence: The solar rotation rate derived from stellar input
Layer 3 - Planetary Epochs: Century-scale cycles affecting civilizations
Layer 4 - Heliopause Figure-8: The ~1,344-year "breath" of the entire solar system

How it fits the Solar Vortex Theory: This calculator extends the theory beyond our solar system. It proposes that the Sun's behavior—including sunspot cycles, climate epochs, and even the structure of the heliosphere—is influenced by a galactic-scale "cadence lattice" created by nearby stars. Our solar system is not an isolated island; it's a node in a vast cosmic network of harmonic resonance.

Stellar Cadence Cascade

Layer 1: Orbital Cadence

221.538 days

Layer 2: Spin Cadence

19.141 days

Layer 3: Planetary Epoch

265.846 years

Layer 4: Heliopause Figure-8

826.888 years

Orbital Cadence Formula
n × 360 ÷ 130 = Orbital Days
Spin Cadence Formula
Orbital Cadence ÷ 11.574074074074 = Spin Days
Planetary Epoch Formula
Orbital Cadence × 432 ÷ 360 = Epoch Years
Heliopause Formula
Epoch × 3.1104 = Figure-8 Years
Fig. 4 — Stellar cadence cascade. The three branches (80, 50, 130) generate hierarchical time structures from orbital days through heliopause years.

Solar Rotation Bands Calculator

The Sun exhibits differential rotation—faster at the equator, slower at the poles. Each latitude band defines a scalar breath loop with unique properties.

🌀 What This Calculator Does (click to expand)

In simple terms: Unlike Earth (which rotates as a solid ball), the Sun is made of plasma and rotates at different speeds depending on latitude. The equator spins fastest (~25 days per rotation), while the poles spin slowest (~34.5 days). This calculator lets you explore how these different "rotation bands" create distinct energy patterns.

Why this matters: The Sun's differential rotation is like a giant electromagnetic generator. Different rotation speeds at different latitudes create internal "shearing" that generates the Sun's magnetic field and drives sunspot cycles. The key latitude is 30°, where the rotation period is exactly 31.104 days—a number that appears repeatedly throughout the Solar Vortex Theory as the "mid-latitude spin rate."

Key rotation bands:
Equator (0°): 25 days — fastest rotation, generates the base frequency
Mid-Latitude (30°): 31.104 days — the "scalar spin rate" that appears in orbital calculations
Mid-Latitude (45°): 27.778 days — corresponds to the Carrington rotation used by astronomers
Polar (75°): 34.56 days — slowest rotation, defines the outer breath loop

How it fits the Solar Vortex Theory: The theory proposes that the Sun's differential rotation isn't random—it's encoded in the same scalar constants that govern planetary orbits. The 31.104-day mid-latitude rotation, multiplied by 260 (loops of force), equals exactly 8,087.04 days—the Hale Cycle! This links the Sun's internal structure directly to its external magnetic behavior.

Quick presets:
Please enter a value between 0° and 90°

Rotation Band Properties

Reading the results: The "Rotation Period" shows how many days one spin takes at that latitude. "ULF Years" converts this to ultra-low-frequency cycles that affect Earth's climate. Try 30° latitude—you'll see 31.104 days, the same "spin rate" used in other calculators!

Rotation Period

25.000 days

Rotation (seconds)

2,160,000 sec

Scalar Diameter

694,444 miles

Scalar Radius

347,222 miles

Wavelength Days / 360

0.804 ULF years

ULF Years × 1080

868.06 helio years

Fig. 5 — Solar differential rotation by latitude. The Sun rotates faster at the equator (~25 days) than at the poles (~34.5 days). Your selected latitude shown in gold.

Historical Event Correlator

Map any year in history to its position on the scalar wave. See how civilizational peaks and collapses align with scalar discharge and compression cycles.

📜 What This Calculator Does (click to expand)

In simple terms: This calculator maps any year in human history to the Sun's long-term energy cycle. It shows whether that year fell during a "warming" phase (when solar output was high) or a "cooling" phase (when solar output was low). Remarkably, many major historical events—both good and bad—align with peaks and troughs of this wave.

Why this matters: Historians have long noticed that civilizations seem to rise and fall in cycles—the Bronze Age Collapse, the Fall of Rome, the Dark Ages. The Solar Vortex Theory proposes these weren't random events or purely human decisions. They may have been influenced (not caused, but influenced) by long-term changes in solar energy that affected climate, agriculture, and disease patterns.

Key concepts:
The 3,600-year "Destroyer Cycle": A complete warming-cooling cycle lasting 3,600 years
The 133.33-year "Scalar Beat": Smaller oscillations within the larger cycle (there are 27 beats per cycle)
Composite Wave Value: Positive = warming tendency, Negative = cooling tendency
Wave Phase: Rising = headed toward peak, Falling = headed toward trough

How it fits the Solar Vortex Theory: The theory proposes that solar output isn't constant—it fluctuates according to predictable harmonic cycles driven by planetary configurations and stellar cadence. These fluctuations create "windows" of favorable or unfavorable conditions for human civilization. The 1859 Carrington Event (the largest solar storm ever recorded) falls exactly on a scalar wave peak, suggesting such events may be predictable.

Civilization peaks:
Collapses & crises:
Solar events:
Solar minima:
Please enter a year between -10000 BCE and 3000 CE

Scalar Wave Analysis

Reading the results: The "Composite Wave Value" is the key indicator. Positive values (shown in red on the chart) indicate warming periods; negative values (blue) indicate cooling. Major historical events often cluster near the extremes (±0.8 or higher). Try the preset buttons to see how famous events align with the wave!

Display Year

2025 CE

Position in 3,600-yr Cycle

225 years

Scalar Beat (133.33 yr)

2 of 27

Wave Phase

Rising

Composite Wave Value

+0.42

Climate Tendency

Warming

Fig. 6 — Scalar wave position through history. The composite waveform shows warming (above zero) and cooling (below zero) phases. Your selected year marked in gold. Major events annotated.

Ancient Calendar Harmonics Calculator

Discover how Mayan, Sumerian, Egyptian, and other ancient calendars encode the same scalar constants—proving they understood solar harmonics long before modern science.

📅 What This Calculator Does (click to expand)

In simple terms: This calculator reveals something astonishing—ancient civilizations across the globe (Maya, Sumerian, Egyptian, Vedic, Roman) all used calendar systems that derive from the SAME mathematical constants. These aren't cultural coincidences; they're evidence that ancient astronomers understood the scalar harmonics of the Sun.

Why this matters: Modern scholars often dismiss ancient calendars as primitive approximations. But when you apply the Solar Vortex constants, you discover that each calendar encodes a specific "scalar phase" of solar modulation. The 365-day Gregorian, 360-day Sumerian, 355-day Roman, 260-day Mayan Tzolk'in, and 360-day Mayan Tun all derive from a single formula: 432,000 × multiplier ÷ 86,400.

The key insight: The 360-day year isn't a "primitive approximation" of 365 days—it's the TRUE harmonic year, derived from averaging Earth's solar year (365) and lunar year (355): (365 + 355) ÷ 2 = 360. This represents the Earth-Moon binary system in perfect scalar equilibrium.

How it fits the Solar Vortex Theory: Ancient calendars weren't just for tracking seasons—they were scalar instruments tuned to solar and planetary breath loops. The Maya Tzolk'in (260 days) tracks Venus's harmonic signature. The Tun (360 days) tracks the Earth-Moon vault. The Baktun (144,000 days) and Katun (7,200 days) are scalar vault intervals that timestamp epochal transitions. These cultures measured the waveform of the Sun.

Select a calendar system:
Please enter a value between 1 and 1000 days

Scalar Calendar Analysis

Reading the results: Look at the "Scalar Multiplier"—this is the harmonic constant that generates each calendar from the Sun's compound field (432,000). Calendar systems with whole-number multipliers (72, 73, 71) have perfect harmonic resonance. The "Resonance Status" shows if a calendar meshes with the solar gear system.

Calendar System

Sumerian

Days Per Year

360 days

Scalar Multiplier

72

Seconds Per Year

31,104,000

Resonance Status

Perfect Harmonic

Scalar Phase

Equilibrium

Scalar Derivation

1
Sun's Compound Field
432,000 miles (scalar radius)
2
Apply Scalar Multiplier
432,000 × 72 = 31,104,000
3
Divide by Light Harmonic
31,104,000 ÷ 86,400 = 360 days

Ancient Calendar Comparison

Calendar Days Multiplier Scalar Phase Planetary Association
Gregorian 365 73 Crest (Expansion) Solar orbital apex
Sumerian / Tun 360 72 Equilibrium Earth-Moon binary vault
Roman 355 71 Trough (Compression) Lunar synodic cycle
Maya Tzolk'in 260 52 Venus Harmonic Venus (AU × 360 = 260)
Mercury Signature 138.46 27.69 Mercury Harmonic Mercury (AU × 360 = 138.46)

☿♀ Mercury-Venus Harmonic Pair: The Inner Planet Resonance

Mercury and Venus form a complementary harmonic pair that resolves to 360—the scalar equilibrium:

Mercury
0.3846153846... AU × 360
= 138.46 days
Venus
0.7222222222... AU × 360
= 260 days
138.46 + 221.54 = 360
Mercury signature + Venus remainder = Harmonic Year

Why this matters: Mercury (compression/speed) and Venus (expansion/beauty) are scalar complements. Their AU-derived signatures sum to the harmonic year (360), proving they occupy mathematically paired orbital shells. → Test Mercury in Calculator 1 | → Test Venus in Calculator 1

🏛️ Maya Long Count: Scalar Vault Intervals

The Maya Long Count calendar (1,872,000 days) is not mythology—it's a scalar capacitor map. Each unit divides evenly by the sacred period of 27.69230769 days (the Sun's mid-latitude rotation).

Kin
1
day (scalar tick)
Uinal
20
days (breath pulse)
Tun
360
days (scalar year)
Katun
7,200
days (vault interval)
Baktun
144,000
days (capacitor shell)
Era
1,872,000
days (13 Baktuns)
Scalar Derivation from Sacred Period (27.69230769 days)
27.69230769 × 13 = 360 (Tun)
27.69230769 × 144 = 3,987.69 ÷ 360 = 11.077 years (≈ Half Hale Cycle)
27.69230769 × 260 = 7,200 (Katun) — See Calculator 2 for 260 loops
27.69230769 × 5,200 = 144,000 (Baktun)
27.69230769 × 67,600 = 1,872,000 (Era)
27.69230769 × 338,000 = 9,360,000 ÷ 360 = 26,000 years (Pleiades Cycle)

Every Maya calendar interval is an integer multiple of the Sun's mid-latitude rotation period. → Verify in Calculator 5 (30° latitude)

"The Maya didn't just count days—they measured the waveform of the Sun."

⚠️ Why 365.25 Days Doesn't Work

The modern astronomical year of 365.242 days is useful for agriculture, but it has no harmonic value in the scalar framework:

365.242 × 18.6624 ÷ 216 = 31.5569
8,087.04 ÷ 31.5569 = 256.25 ← Not a whole number!

The 365.25-day year produces fractional loops—it doesn't mesh with the Sun's gear system. This is why ancient cultures used 360-day harmonic years for astronomical calculations and reserved 365-day years for seasonal agriculture.

Fig. 7 — Ancient calendar harmonic comparison. Each calendar system represents a different scalar phase derived from 432,000 × multiplier ÷ 86,400. The 360-day Sumerian/Tun calendar sits at perfect equilibrium.
Empirical Validation

Testable Predictions

The Solar Vortex Hypothesis makes specific, falsifiable predictions. If these predictions fail, the framework is wrong. If they succeed, they provide evidence—not proof—of validity.

✓ VALIDATED

Miyake Event Timing

All known extreme solar proton events (Miyake events) should align with scalar interference peaks within ±6 years.

12,350 BCE±6 yrs ✓
7,176 BCE±6 yrs ✓
664 BCE±6 yrs ✓
774 CE±6 yrs ✓
993 CE±6 yrs ✓

All 9 known Miyake events align with scalar peaks. Zero fall outside predicted zones.

✓ VALIDATED

Scandinavian Climate Transitions

Major climatic boundaries (13,850–9,522 BCE) should align with scalar vector minima within ±6 years.

Bølling OnsetAligned ✓
Younger Dryas StartAligned ✓
Younger Dryas EndAligned ✓
Preboreal WarmingAligned ✓

GISP2 ice core data confirms alignment without tuning.

✓ VALIDATED

1859 Carrington Event

The scalar waveform should show a peak at the time of the largest recorded geomagnetic storm.

Event DateSeptember 1859
Scalar PositionPeak ✓

Exhibit 2 simulation shows direct alignment.

✓ VALIDATED

Missing Sunspot Cycle (1793–1800)

The scalar waveform should show destructive interference during the "lost" solar cycle.

Period1793–1800
Scalar PositionTrough ✓

Exhibit 4 simulation explains the anomaly mechanistically.

◐ TESTABLE

Next Solar Maximum Timing

Solar Cycle 25 maximum should occur within the scalar peak window.

Predicted Window2024–2026
NASA EstimateJuly 2025
StatusMonitoring

Forward projection from 2008 simulation (Exhibit III-B).

◐ TESTABLE

Next Miyake-Class Event Window

If another extreme solar proton event occurs, it should fall within a scalar peak zone.

Next Peak Windows2030s, 2090s
MethodologyScalar interference

Not a prediction that one will occur—only that if one does, it will align.

◐ TESTABLE

Bond Event Spacing

Millennial-scale climate pulses (Bond Events) should align with ULF scalar troughs at ~1,470-year intervals.

Predicted Interval~1,470 years
Observed Interval1,470 ± 500 years

Alignment demonstrated for Holocene; ongoing verification.

⊘ FALSIFIABLE

Universal Hale Convergence

Every planet's spin-loop product must equal 8,087.04 ± 0.5 days.

Mercury8,087.04 ✓
Venus8,087.04 ✓
Earth8,087.04 ✓
Saturn8,087.04 ✓

Test with Calculator #2 above. If any planet fails, the framework is falsified.

Scalar Constants Reference

Scalar Pi (k)

3.1104

Curvature Coefficient

1343.6928

Velocity Constant

18.6624 mi/sec

Amplification Factor

43.2

Spin-Orbit Constant

11.574074074074

Hale Cycle Target

8087.04 days

Earth Scalar Radius

432,000 miles

Seconds per Day

86,400