Life is coherence that has learned to write itself into time.
One planet. One coherence.
A seventeen-document body of philosophical, astronomical, and mathematical work — spanning calendar reform, spherical geometry, chronobiology, hemispheric astrology, and contemplative practice — built for the full human population of the Earth.
A soul-calendar anchored to the equinox.
Thirteen months of 28 days each — 52 complete weeks, no remainder, no drift. Three movements: Dissolution, Recognition, Inscription — across a 4+5+4 structure, named from six language families. Grounded in physical absolutes, not metaphor alone.
Clockwise, warm, outward. The triangle is the Northern Hemisphere's primary geometry — the form the Northern sky naturally traces. The diamonds are present as complement.
Counter-clockwise, cool, inward. The diamond is the Southern Hemisphere's primary geometry. The triangles are present as complement. Each hemisphere is primary from where it stands.
Both geometric families inhabit the same unbroken {13/5} star line simultaneously. Ophiuchus ⛎ at the center belongs to neither hemisphere — it is the convergence of both.
Zola is Earth's birthday. Ophiuchus ⛎ is its sign.
- Sep 2026 The Temporal Prism. Contribution 31 — the inward-facing mirror of the Universal Prism. A unified framework for locating a person simultaneously across their active biological oscillators, indexed to hemisphere-honest orbital geometry. Formally defined as the Biological Phase Portrait (BPP): state vector S(t) = (φₙᴄᴄᴄ, φₐₙₙ, βₐᵈᵉ, Lₐⱼⱼₒ, φᵤⱼₜᵣ, δᵈᵉᵥ, a, s). The Universal Prism maps the Kairos Signal across the sphere. The Temporal Prism maps its resolution inside a single life.
- Sep 2026 The Terran Time Crystal. Contribution 30 — a formally defined scientific proposition: the annual Kairos Signal K(φ,t) as a Floquet-consistent periodic driver of seasonal biological rhythms. Three conditions, one experimental prediction, one master equation, one Floquet operator G(T,0). The first specific subharmonic period candidate: a 2-year (2T) limit cycle in populations at 45°–60° latitude.
- Sep 2026 Mars · Universal Prism. The Terran Prism applied to Mars — the Martian Terran Calendar (14 months · 49 sols · 7+1+6 · Zola at month 8), ten canonical locations, hemisphere-honest timekeeping on a rotating sphere one planet further from the sun. Now live under Explore.
- Sep 2026 The Martian Terran Calendar. 14 months of 49 sols · structure 7+1+6 · Martian Zola at month 8 · Mangala (Sanskrit: Auspicious) as month 13 · remainder 0.97 sols · Foundation Sol outside the count. The geometry does not stop at the edge of the Earth.
- Sep 2026 Mangala. The 14th month of the Martian Terran Calendar — Sanskrit for Auspicious. The month before Zola in Martian Inscription. The arc closes: Taḥawwul · Kuumba · Chuánchéng · Mangala · Zola ⛎. Transform · create · pass forward · bless · cross.
- Sep 2026 Document XVII — The Terran Cycle. The architecture document — eleven scales, 4+5+4 structure, the Arabic Hinge Zone, the Terran Prism, the Universal Prism, the Martian Terran Calendar, Mangala, Foundation Day and Leap Day outside the count. In development.
- Sep 2026 Zola ⛎ — Planetary Pause. The Terran Moment now reads Planetary Pause during Zola. Both hemispheres show Zola simultaneously · NH in Recognition · SH in Inscription · the crossing point is live across all instruments.
- Sep 2026 The Terran Prism. Contribution 28 — the collective name for the four measurement instruments: the Terran Metric (individual), the Maxwell–Terran Distribution (population), the Kairos Signal (seasonal), and the Flux Calculator (energetic). One solar signal, four faces.
- Sep 2026 The Universal Prism. Contribution 29 — the Terran Prism applied to any rotating sphere orbiting any hydrogen-fusing star with biological observers. Anchored to hydrogen at every face. The geometry does not stop at the edge of the Earth.
- Sep 2026 The Maxwell–Terran Distribution. Contribution 27 — Maxwell’s statistical mechanics applied to biological burden from timekeeping misalignment. The epidemiological scale of the Series: f(d) across a population at a given latitude, season, and ancestry origin.
- Sep 2026 Your Terran — four new instruments. Terran Planner · Terran Birth Moment · Terran Compatibility (all four Prism faces) · Equinox Countdown. Plus the Terran Distance Explorer under Explore.
- Sep 2026 Document XVI published — The Terran Horizon. The document of record. 29 original contributions formally named and attributed. The Closure Proof (S² × T², χ = 0). The Terran Akasha (S² × T³). La Curva di Viviani identified. The Arabic Hinge Zone. The 120-cell. The formal Terran Metric family. The Terran Moment and HALOS as instruments of the hypersphere. Beyond the Horizon — the direction named, the destination left open
- Sep 2026 The Terran Hypersphere — its own page. Four live animated diagrams: the sphere S², the torus T², La Curva di Viviani, and a stereographic projection of S² × T². The Hypersphere dropdown added to all 26 pages
- Sep 2026 HALOS — Helio Axis Locus Observable Signature. Your solar identity on the Terran Hypersphere. 2,808 distinct identities · 490 cities · 140 countries · global facts including land vs water, by Movement, by country, the ISS, and Antarctica
- Sep 2026 The Terran Moment — the synthesis instrument. Your four-layer temporal portrait live on S² × T². Two cities compared simultaneously with the Terran Metric distance between them
- Sep 2026 The Terran Akasha (S² × T³) named · The Closure Proof established · La Curva di Viviani identified · The Arabic Hinge Zone discovered · All documented in Document XVI
- Sep 2026 The Terran Day · Kinesis · The Terran Kairos · The Geometry of Containment — four instruments and animations added this month
The sixteen documents. One in development.
Seventeen documents in total — sixteen complete and freely accessible on Zenodo with a permanent DOI, archived open access under CC BY 4.0. Document XVII — The Terran Cycle — is the most recent addition. Document XV — The Terran Body — is in development.
The living tools.
The Terran Series is not only documents. The calendar runs. The star reveals its layers. The clocks show one planetary year from two hemispheric responses simultaneously. The Hypersphere instruments locate you on the four-dimensional manifold the Series has proven closed. Each tool is the final page of its document. The Your Terran instruments — Planner, Birth Moment, Compatibility, and Equinox Countdown — make the Series personal.
The philosophical foundation of the Terran Series — and the {13/5} star polygon that encodes its complete structure.
Read the proposition →The structural case for 13 months of 28 days — plus your Dual Zodiac, Nakshatra, and Chinese animal, corrected for your hemisphere.
Explore the calendar →The live 13-month soul arc for both hemispheres — plus this week's practice: attention, inquiry, and body gesture.
Open the calendar →When the clock says noon — where is the sun? Enter your longitude and the argument proves itself in real time.
Find your TM zone →The geometry of earthly time — six live instruments. The Latitude Clock shows day length, solar altitude, and flux at your latitude versus its mirror in the opposite hemisphere. The Day Length Calendar shows a full year of light with the 13 Terran months overlaid. The Sphere Clock shows the full rotating globe — terminator line, continent outlines, solar declination, and your personal solar noon. The Flux Calculator shows exactly how much solar energy the sphere is delivering to your latitude — with UV index, vitamin D synthesis times, and the 6.9% Southern Hemisphere perihelion advantage. The Terran Kairos shows the first derivative of day length — the rate the solar signal is changing, with a live Solar Window. Kinesis shows where you are within today’s light from sunrise to sunset, in Phases, Moments, and Pulses.
Explore the sphere →The Terran Moment reads your complete four-layer temporal portrait live — Movement, Soul Month, Kinesis, Kairos — with your position on the Terran Hypersphere (φ, λ, t‑day, t‑year) shown on a live sphere canvas. Select any two cities from 490 worldwide and see their Terran Moments simultaneously, with the Terran Metric distance between them. HALOS — Helio Axis Locus Observable Signature — names your solar identity: one of 2,808 distinct positions on the Terran Hypersphere. 490 cities, 140 countries, global facts including land vs water, the ISS, and Antarctica.
Find your Moment and HALOS →One planetary year — two hemispheric responses, nine instruments. The Infinity Clock shows one year as two rings joined at Zola ⛎. The Chronograph records time across four scales on the Soul Star face. The H Scroll and V Scroll show the year as living manuscripts. The Solar Clock (UT) expresses time in Universal Times — t:L:AA:TT. The Terran Day shows the complete 24-hour solar cycle. The Carbon Clock counts in hydrogen and reads in carbon — one oscillator, one mass anchor, one decay bridge. The Terran Time Sphere shows the four shells of Terran time as a live 3D instrument: Chronograph, Solar, Kairos, and Carbon.
Open the clocks →The personal layer of the Series. Your day planned around the light. Your birth moment on the sphere. Your solar compatibility with another person. Your countdown to the next Terran New Year.
Enter your Terran →Archived, licensed, freely accessible.
Every document in the Terran Series is published under CC BY 4.0 and assigned a permanent DOI through Zenodo. Nothing here requires payment or account creation to read.
Creative Commons Attribution 4.0 International. You may share and adapt any document, provided appropriate credit is given to Lee-Kah Williams.
All documents are deposited in the "The Terran Series" community on Zenodo — a permanent, open-access scholarly repository maintained by CERN.
All seventeen documents are original works of Lee-Kah Williams, originated June 2026. The series is independent scholarship, unaffiliated with any institution.