Tag: science

Antarctica as a Geometrical Reference

The analysis of the Ring of Fire has raised the possibility that its overall form is considerably more regular than is generally apparent, and that its geometry may be controlled by large-scale mantle circulation together with the configuration of adjacent parts of the Earth. This naturally directs attention toward Antarctica, which is itself arranged in a remarkably systematic way around the South Pole.

The division of Antarctica into East and West Antarctica is well established, and the geological boundary between the two passes relatively close to the geographic South Pole. When the entire Antarctic Plate is considered, rather than only the continental landmass, its overall form is elongated and can be approximated by an ellipse. Significantly, the minor axis of this ellipse follows the principal division between East and West Antarctica.

The endpoints of the major axis correspond approximately to the major oceanic-ridge junctions on opposite sides of Antarctica: toward the Indian Ocean ridge system on one side and the East Pacific Rise system on the other.

The Mantle Convection Roll Model also corresponds closely with the orientations of the major and minor axes in the western and eastern Pacific sectors surrounding Antarctica. The relevant boundaries intersect these axes near 64°S. A considerable degree of geometrical agreement therefore emerges between the Ring of Fire, the proposed mantle-convection-roll system, and the principal axes of the Antarctic Plate in the southern Pacific region. This relationship is illustrated on the accompanying map.

Extending the Geometry Beyond the Pacific

To examine whether this correspondence represents a broader global pattern, the Atlantic and Indian Ocean regions must also be considered. The inner boundary of the Ring of Fire spans here theoretically 120° from east to west where it crosses the equatorial region. This suggests a simple research hypothesis: if the Pacific system occupies approximately one third of the Earth’s circumference, comparable tectonic rings might occupy the other two 120° sectors.

The first test of this idea can deliberately be kept as simple as possible. A mathematical ellipse is constructed to span 120° at the equator, with its centre positioned 6° south of the equator and with a major-to-minor axis ratio of 1.5. A second, outer ellipse is then constructed around it, spanning 150°, while retaining the same centre. The 150° span corresponds to measureable distance between concrete points along the equator. This provides a straightforward geometry that can be compared directly with mapped tectonic structures. In the Atlantic case, the centre of the proposed elliptical system is placed at approximately 6°S, 29.5°W. The important point is that these parameters are established before detailed geological adjustment. The question is therefore not whether an ellipse can be fitted retrospectively to selected tectonic features, but how well a deliberately simple geometrical construction corresponds to the actual tectonic pattern.

Correspondence with Major Tectonic Structures

When this geometry is plotted on a global map, the agreement with several major tectonic structures appears unexpectedly strong. One of the clearest examples is the Kermadec–Tonga system, which fits naturally into the proposed Indian Ocean Ring. This is particularly significant because Kermadec–Tonga is conventionally regarded as part of the wider Pacific Ring of Fire. In the present model, however, it lies within the sector where the Pacific and Indian Ocean tectonic systems overlap.

A similar relationship appears between the Pacific and Atlantic systems. The Caribbean region and Indonesia occupy broadly corresponding positions at the intersections between the major rings: the Caribbean at the junction between the Pacific and Atlantic systems, and Indonesia at the junction between the Pacific and Indian Ocean systems. Both therefore occupy geometrically comparable positions relative to the proposed mantle-convection-roll framework and to major divisions in the lower mantle. This correspondence is important because the two regions are among the most tectonically complex areas on Earth. Rather than lying randomly within the global pattern, each appears close to a junction between two of the proposed large-scale tectonic systems.

A further complex relationship occurs between South America and Antarctica. The Scotia–Drake Passage–South Sandwich region contains a particularly complicated combination of spreading, transform motion and subduction, yet this system also appears to display symmetry relative to intersection points derived from the mantle-convection-roll geometry.

Overlapping Tectonic Rings

The derivation of these tectonic rings is in several respects more difficult than the derivation of the mantle-convection-roll system itself. The latter concerns an idealized organization within the mantle, whereas the tectonic rings are expressed through lithospheric plates that have evolved, fragmented, rotated and interacted over geological time. The regions where the proposed rings overlap therefore constitute a separate field of investigation.

Nevertheless, it is significant that such a simple initial construction produces such extensive correspondence with mapped tectonic structures. The geometry was not derived independently for each region. Instead, the same basic parameters are repeated around the Earth and then compared with the geology. Considerable work is still required before the system can be defined precisely. Among the factors that must be examined are the geometry of the Earth’s geoid, the use of latitude and longitude on a curved rather than planar surface, and the apparent southward displacement of the tectonic-ring system, which in the present construction places the centres approximately 6° south of the equator.

The distinction between mathematical geometry on a map projection and geometry on the actual surface of the Earth is particularly important. Future calculations should therefore define the ellipses geodetically rather than treating longitude and latitude simply as Cartesian coordinates.

The Red Sea as a Particularly Strong Correspondence

Apart from Kermadec–Tonga, the Red Sea appears to provide one of the clearest correspondences with the tectonic geometry derived from the Ring of Fire. The outer boundary of the proposed Atlantic Ring runs approximately along the central axis of the Red Sea. This is especially interesting because the Red Sea is not merely a geographical depression but an active divergent plate boundary containing an axial spreading system and developing oceanic crust. Its position therefore provides a potentially important test of the model.

The Red Sea relationship also appears to repeat a geometrical pattern observed on the opposite side of the system, along western North America. From the San Andreas region southward through Mexico and the Gulf of California, active plate-boundary structures and spreading centres follow a broadly comparable orientation along the outer margins of the large-scale tectonic ellipses. The corresponding boundary lines are separated by approximately 105°, consisting of 90° between the parallel outer edges of the two elliptical systems plus the intervening 15°-wide tectonically active zone.

The comparison is not intended to imply that these regions have identical tectonic histories. Rather, they appear to occupy corresponding positions and orientations within the larger geometrical framework.

Repeated Ridge Orientations at 90° Intervals

This relationship recalls an earlier observation concerning the Reykjanes Ridge and the Juan de Fuca Ridge. These ridge systems occur approximately 90° apart within the proposed global geometry, yet follow corresponding structural directions. Such repetitions become increasingly important when several independent tectonic features are considered together. A single alignment can readily be coincidental. A repeated combination of alignments, orientations, intersection points and distances is more informative and can be tested quantitatively.

The mantle-convection-roll system also provides a direct geometrical continuation from the minor axis of Antarctica toward the Reykjanes Ridge and Iceland. Thus, Iceland does not appear in this framework merely because it lies on the Mid-Atlantic Ridge. Its position can also be related to one of the principal Antarctic axes and to the wider system of global tectonic divisions.

Multiple Independent Relationships

The resulting pattern is therefore not based on one isolated correspondence. Several different relationships appear simultaneously: The axes of the Antarctic Plate, the geometry of the Ring of Fire, the proposed Atlantic and Indian Ocean Rings, major spreading ridges, major subduction systems, complex plate-boundary junctions, and the mantle-convection-roll divisions all show repeated geometrical relationships.

Previous analysis has also shown that the world’s principal geyser regions can be placed within the same geometrical framework. Iceland, Yellowstone, Kamchatka, New Zealand, Chile and East Africa each occupy positions that can be related to major axes, ring boundaries, intersections or tectonic divisions within the proposed system. This does not by itself establish a common physical cause. It does, however, considerably increase the number of independent geological observations against which the geometry can be tested.

A Working Global Hypothesis

The purpose of the present construction is therefore not to claim that the three tectonic rings have already been demonstrated as physical mantle structures. At this stage they are best regarded as a geometrical research hypothesis derived from the observed form of the Ring of Fire.

The procedure is intentionally simple: First, identify the regularities already present in the Ring of Fire; then construct equivalent geometrical forms at 120° intervals around the Earth; and finally compare those forms with independently mapped tectonic structures.

The surprising result is that the comparison does not produce random relationships. Instead, major structures repeatedly appear close to predicted axes, boundaries, overlaps and intersection zones. If further quantitative analysis confirms these relationships, the three-ring geometry may provide an additional way of examining how the lithosphere is organized above large-scale mantle circulation. The central question is therefore no longer simply why the Pacific Ring of Fire has its familiar form. A broader question arises:

Is the Ring of Fire one visible part of a larger, globally organized tectonic system extending through the Pacific, Atlantic and Indian Ocean regions and geometrically linked to Antarctica and the underlying mantle circulation?

It has long been recognized that the Pacific Ring of Fire is linked, within the global plate-tectonic system, to the mid-ocean ridges of both the Atlantic and Indian Oceans. New oceanic crust is generated along the spreading ridges, while large amounts of old oceanic lithosphere are returned to the mantle through subduction around the margins of the Pacific. There are also major spreading ridges within the Pacific itself. Nevertheless, the Pacific differs fundamentally from the other two major oceanic domains: instead of being dominated by a central ridge system bounded largely by passive continental margins, much of its circumference is characterized by active plate boundaries, subduction zones, volcanic arcs and major fault systems. This is the basis for the familiar concept of the Pacific Ring of Fire.

By analysing the Ring of Fire more closely in relation to the proposed mantle convection-roll system, and drawing in particular on the detailed structural relationships that can be studied in Iceland and compared with other regions, it became possible to define two broad elliptical forms—an inner and an outer tectonic ellipse—within which most of the major active structures associated with the Ring of Fire can be placed. I presented this geometric interpretation at Stanford University in 2024.

The fit is not perfect, nor should it necessarily be expected to be. Some major tectonic structures initially appear to be exceptions. The Tonga–Kermadec system, for example, lies well inside the zone defined between the inner and outer boundaries of the Pacific Ring of Fire. This was difficult to explain if the Pacific system was considered in isolation.

A more important geometrical relationship became apparent when the inner ellipse was examined in greater detail. Its equatorial width is approximately 120° of longitude. Earlier work had concentrated more heavily on the outer ellipse, which theoretically spans about 150° from east to west at the equator. In practice, the outer boundary extends slightly beyond 150°, its geometric centre lies somewhat south of the geographic equator, and the ellipse itself is oblique: its general elongation is from northwest to southeast, while its minor axis therefore trends approximately southwest–northeast.

The 120° width of the inner ellipse raises a fundamental possibility. Since 120° is exactly one third of 360°, the Ring of Fire may not represent an isolated tectonic geometry. It becomes possible to test whether the Earth’s large-scale tectonic framework contains a threefold, approximately 120° organization.

When three comparable tectonic ellipses—or, more accurately, three pairs of inner and outer ellipses—are projected around the Earth, the resulting geometry shows a striking degree of correspondence with major geological structures. These may provisionally be called the Pacific Ring, the Indian Ocean Ring, and the Atlantic Ring.

This broader geometry changes the interpretation of several apparent anomalies.

The Tonga–Kermadec subduction system, rather than being an unexplained feature lying inside the Pacific Ring, falls close to the outer boundary of the Indian Ocean tectonic ellipse. In this interpretation it is located in an overlap zone between two large tectonic systems.

Similarly, the Red Sea no longer appears simply as an isolated, unusually linear rift system. It lies close to the outer boundary of the Atlantic ellipse. From there, the same broad tectonic boundary can be followed through Europe, where I described relationships between tectonic structures and the proposed convection-roll pattern in my 2023 Stanford presentation, and northward toward Iceland.

Iceland itself is situated on the outer boundary of the Atlantic tectonic ellipse. This provides a potentially important geometric context for its exceptional combination of a mid-ocean ridge, thickened crust, intense volcanism and major tectonic segmentation.

The geometry becomes particularly interesting where the large ellipses overlap. The continuation of the Atlantic ellipse toward North America approaches the regions of Yellowstone and the San Andreas fault system. At approximately the same locations, the boundaries of two tectonic ellipses intersect and the minor axes of the ellipses are expressed.

Thus, three independent geometrical relationships appear in approximately the same areas:

1. boundaries within the proposed lower-mantle—and, at smaller scales, upper-mantle—convection-roll system;
2. the minor axes of the large tectonic ellipses; and
3. intersections between the boundaries of neighbouring tectonic ellipses.

What makes this particularly interesting is that several exceptionally distinctive geological regions occur near such intersections. Yellowstone, the San Andreas system and New Zealand are obvious examples. They represent very different kinds of geological environments, yet all occupy unusually complex positions within the proposed global geometry.

This distinction is important. The model does not imply that Yellowstone, San Andreas and New Zealand were created by an identical local process. Rather, their positions may indicate places where several components of the global tectonic system interact. The geometry may therefore describe the framework within which different tectonic processes operate, rather than a single mechanism producing identical structures everywhere.

The three tectonic rings

The three proposed systems also have distinctly different geological expressions.

The Pacific Ring is exceptional because there is no major continent occupying the interior of its inner ellipse. The Pacific Plate and associated oceanic plates therefore dominate a huge part of the system. Subduction around its margins is correspondingly prominent, producing the classical Ring of Fire.

The Atlantic Ring has a different character. Its most obvious feature is the remarkable continuity of the Mid-Atlantic Ridge system from the Southern Ocean northward through the Atlantic and into the Arctic domain. Rather than being surrounded predominantly by subduction zones, as in the Pacific, the Atlantic contains a major spreading system through its central region. Its outer tectonic ellipse consequently interacts extensively with continental lithosphere in Africa, Europe and the Americas.

The Indian Ocean Ring is different again and may be regarded as fundamentally divided between north and south. Its southern part is dominated by oceanic lithosphere and the interconnected Indian Ocean ridge system, whereas its northern part is occupied by the large continental masses of Africa, Arabia, India and Eurasia and by the effects of major continental collision. Nevertheless, a comparable broad elliptical geometry can still be traced through the system.

The three rings therefore need not produce identical surface geology. Their importance lies instead in the possibility that a common large-scale geometry is being expressed through three very different lithospheric configurations.

One particularly striking example is the eastern margin of Australia, which lies close to the inner boundary of the proposed Indian Ocean ellipse. Likewise, the relationship between the Izu–Bonin system in the Northern Hemisphere and Tonga–Kermadec in the Southern Hemisphere becomes more meaningful when both are considered in relation not only to the Pacific Plate but also to the underlying boundaries proposed for the convection-roll system. Both appear to be associated with the same broad division in the western Pacific mantle system, even though their surface tectonic histories and plate geometries differ.

The Atlantic sector provides another useful example. When the proposed lower-mantle divisions are projected northward from Antarctica, one of the principal boundaries can be followed toward the North Atlantic and Iceland. The apparent continuity between Southern Ocean geometry, the Atlantic ridge system, Europe and Iceland is difficult to appreciate when these regions are examined individually, but becomes much clearer when they are placed within a single global geometric framework.

How could such rings form?

The origin of these large elliptical tectonic patterns is, of course, a much more difficult theoretical question than simply identifying their geometry.

The lithosphere cannot be treated as a perfectly rigid shell. Although its upper portion behaves rigidly over geological timescales, its deeper parts interact with the ductile asthenosphere and upper mantle. The large-scale geometry observed at the surface must therefore result from a combination of processes acting over very long periods.

At least three components may be involved:

• the rotation of the Earth and the directional constraints that rotation imposes on global-scale flow;
• persistent forcing associated with organized convection within the mantle;
• and horizontal displacement and deformation of the lithospheric plates themselves.

These processes would not operate independently. A plate moving horizontally across the Earth’s surface is simultaneously affected by its own internal stresses, by interactions with surrounding plates, by ridge generation and slab subduction, and by stresses transmitted from the underlying mantle. Continental and oceanic lithosphere would respond differently because of their very different thicknesses, densities, compositions and mechanical histories.

This may help explain why the same underlying geometrical system could produce such different surface expressions in the Pacific, Atlantic and Indian Ocean regions.

The concept should therefore not be interpreted as three rigid circles stamped onto the Earth’s crust. A better analogy is a set of overlapping, deformable tectonic domains, each responding to the same global physical system but modified by the heterogeneous lithosphere through which the forces are expressed. Their boundaries may consequently shift, broaden, bifurcate or become locally obscured.

This also provides a possible explanation for why the ellipses do not correspond perfectly to every geological structure. A geometrical model operating at mantle scale should define preferred zones and relationships rather than mathematically exact surface lines. Continental collision, inherited crustal structures, changing plate boundaries and the creation or destruction of oceanic lithosphere will inevitably modify their surface expression.

What is significant is therefore not that every tectonic boundary lies precisely on an ellipse, but that a recurring 120° geometry appears to organize a surprisingly large number of otherwise separate tectonic features.

If this threefold relationship is real, the Pacific Ring of Fire should no longer be viewed solely as a unique circum-Pacific phenomenon. It would instead represent the clearest surface expression of one member of a larger global system. The Atlantic and Indian Ocean systems would be less visually obvious because their lithospheric environments are different, but geometrically they could belong to the same underlying organization.

That possibility opens a much larger field for investigation. The exact positions of the inner and outer boundaries can be tested against ridge segments, transform faults, subduction zones, volcanic arcs, continental rifts, major fault systems and seismic structures. Their intersections can be examined independently, as can their relationship with predicted mantle-flow boundaries at different depths.

Particular attention should be given to locations where several elements coincide: ellipse intersections, minor-axis positions and independently predicted mantle boundaries. Such locations provide the strongest tests of the model because their positions can be predicted geometrically before the local geology is examined.

In this sense, the purpose of the model is not simply to draw ellipses around existing tectonic structures. Its scientific value depends on whether the geometry can be defined independently and then used to predict where unusual tectonic relationships should occur.

The Pacific Ring of Fire, the Atlantic system and the Indian Ocean system may therefore be three different surface expressions of a single, much larger geometrical organization of the Earth. The differences between them are substantial—but those differences may be exactly what should be expected when the same underlying mantle framework interacts with three fundamentally different arrangements of continents, oceans and lithospheric plates.

And this is where the analysis can now be taken considerably further.

Once one large-scale pattern in nature has been identified and described, it becomes easier to recognize analogous structures elsewhere. The Pacific Ring of Fire therefore does not necessarily have to be treated as a completely unique tectonic phenomenon.

After examining the geometry of the Ring of Fire in greater detail, its inner tectonic ring appears to span approximately 120° from east to west. This immediately raises a broader possibility: if one such 120° tectonic ring exists, comparable rings may be fitted around the rest of the Earth.

A complete circumference contains three such sectors: 3 × 120° = 360°.

This suggests a possible global system consisting of three major tectonic rings:

• the Pacific Ring of Fire,
• the Indian Ocean Ring,
• and the Atlantic Ring.

The comparison appears to work surprisingly well when these circles are placed against the known tectonic structure of the Earth.

The Indian Ocean Ring

The proposed Indian Ocean Ring provides one of the clearest examples. Its relationship with New Zealand is especially important because this is where it overlaps the Pacific Ring of Fire. The Kermadec–Tonga system, which appears to lie unusually far inside the broader Pacific Ring of Fire, can then be viewed differently.

Rather than being simply an inward deviation of the Pacific Ring, Kermadec–Tonga may belong primarily to the Indian Ocean Ring, within the region where the two tectonic rings overlap.This provides a possible geometric explanation for the complicated tectonic structure of the southwest Pacific. From Kermadec–Tonga, the same system can be followed northward through the Fiji region and towards the Philippine Sea Plate. The northern boundary of the Philippine Sea Plate lies close to the outer geometry of the proposed Indian Ocean Ring.

Farther inland, Lake Baikal also falls within the same large-scale ring. This is especially interesting because Baikal represents one of the world’s most prominent examples of active continental rifting. Its position may therefore be examined not only in relation to regional tectonics, but also within this larger geometric system.

The ring continues westward through regions of major tectonic activity. Turkey falls within it, as does Italy, close to the area where the proposed Indian Ocean Ring and Atlantic Ring overlap. The Cameroon Volcanic Line also lies within the geometry of the Indian Ocean Ring. This is particularly noteworthy because the Cameroon Line is an unusual intraplate volcanic structure that crosses both continental and oceanic crust.

None of these individual correspondences is sufficient by itself to establish the existence of such a ring. Their significance lies in whether the same geometric relationship repeatedly appears when independently mapped geological features are compared with the proposed system.

Erebus as an example of overlapping geometries

Mount Erebus in Antarctica provides a useful example of how several geometrical systems may interact. Erebus lies outside the main Pacific Ring of Fire, although it is not far from it. It is also situated slightly away from the minor axis of the elliptical Antarctic Plate geometry.However, when the proposed Indian Ocean Ring is added to the map, Erebus falls close to its outer boundary.

This illustrates an important principle of the model. A geological feature does not necessarily have to be explained by its relationship with only one geometric structure. Its position may instead result from the intersection or overlap of several systems: Antarctic plate geometry + mantle convection-roll divisions + global tectonic rings. A volcanic centre such as Erebus may therefore become particularly informative when its position is analysed simultaneously with respect to all three.

Relationship with the Mantle Convection Roll Model

The three tectonic rings also show a close relationship with the southern part of the Mantle Convection Roll system. From approximately 15°S to 60°S, considerable portions of the proposed rings follow the curvature of the convection-roll pattern and the corresponding division lines in the lower mantle. This relationship is important, but the tectonic rings and the mantle convection rolls should not be regarded as the same type of structure.

The convection rolls represent a three-dimensional mantle-flow system. The tectonic rings, by contrast, are essentially horizontal lithospheric structures, expressed through the tectonic interaction of plates at or near the Earth’s surface. In the interpretation proposed here, the tectonic rings develop as the lithosphere responds to the stresses generated by plate motion, while the larger-scale organization and direction of that motion are influenced by the underlying mantle-flow system.

The relationship can therefore be expressed schematically as:

Earth’s rotation
→ organization of mantle convection
→ systematic mantle-flow geometry
→ plate motion and lithospheric stress
→ large-scale tectonic ring structures.

The rings are therefore not themselves mantle convection rolls. They represent a surface-level tectonic response to a deeper global system.

The importance of the South Pole

When the Pacific, Indian Ocean and Atlantic rings are examined together with the Antarctic Plate, another important feature emerges: the South Polar region becomes a major geometrical reference point.

The elliptical geometry of the Antarctic Plate, its major and minor axes, the possible 60° sector division around Antarctica, and the geometry of the three 120° tectonic rings all appear to interact in this region.

This may help explain why Antarctica shows such pronounced large-scale symmetry around the pole.

The recently identified fan-shaped basin structures beneath East Antarctica add another independent observation to this picture. Their calculated Euler poles lie close to the geographic South Pole, indicating that large-scale deformation within Antarctica itself has developed around a nearly polar centre.

The tectonic rings then extend this geometry outward from Antarctica into the surrounding plate system.

A framework for further investigation

The most important value of this approach is not simply the possibility of drawing three large circles around the Earth.

The real research potential lies in examining the exact position of individual geological structures relative to several independent geometrical systems at the same time.

For any particular tectonic or volcanic region, it becomes possible to ask:

• Where does it lie relative to the inner and outer boundaries of a tectonic ring?
• Is it located where two rings overlap?
• How does it relate to the major or minor axis of the Antarctic Plate?
• Does it coincide with a mantle convection-roll division?
• Does it occur near a lower-mantle boundary or a predicted change in flow direction?
• Does its observed tectonic style agree with what would be expected from that position?

This opens a much wider field of comparison than studying each geological feature only in its local setting.

The Pacific Ring of Fire remains the clearest of the three systems because its tectonic boundaries are exceptionally well expressed. As its geometry becomes more precisely defined, however, the corresponding Indian Ocean Ring and Atlantic Ring also become easier to identify.

This may eventually allow the three rings to be analysed as parts of a single global tectonic framework rather than as unrelated regional structures.

One important question remains unresolved: how the Arctic Ocean fits into this geometry.

The southern hemisphere currently provides the clearest relationships because Antarctica offers a well-defined polar reference system and because the curvature of the proposed tectonic rings corresponds closely with the southern mantle-convection geometry. The northern polar region is considerably more complex, particularly because of the configuration of the Arctic Ocean, Eurasia and North America.

Nevertheless, the picture becomes progressively clearer as the Pacific Ring of Fire and the proposed Indian Ocean and Atlantic rings are defined more precisely.

The key point is therefore not that three tectonic rings have already been demonstrated as established geological entities. Rather, the same geometrical method that helps define the Pacific Ring of Fire can be applied globally. When this is done, major tectonic structures on different continents and ocean basins repeatedly fall into coherent relationships with three approximately 120° systems.

That correspondence is sufficiently systematic to justify much more detailed comparison with the independently derived geometry of the Mantle Convection Roll Model.

Starting from the possible sixfold division around Antarctica, it is possible to examine how this geometry relates to the tectonic plates and major tectonic systems outside the Antarctic region.

The Pacific Ring of Fire is particularly important in this respect because its geometry can be analysed in considerable detail. When examined in relation to the Mantle Convection Roll model, its overall form becomes even more clearly defined.

Several key locations show remarkably simple angular relationships when measured from the geographic South Pole. For example, the angle between the directions towards the Alpine Fault in New Zealand and Yellowstone is approximately 90°. This corresponds with another geometric relationship already identified: the Alpine Fault lies close to the continuation of the minor axis of the Antarctic ellipse, whereas Yellowstone lies close to the continuation of its major axis.

Thus, two major parts of the Ring of Fire can be related directly to the two perpendicular axes of the Antarctic geometry. The Ring of Fire also extends southward into the Antarctic tectonic system. This makes it possible to examine its geometry not only as a Pacific feature, but as part of a larger global arrangement.

From 90° and 45° to 60° and 120°

The two principal axes associated with the geometry of the Ring of Fire are themselves inclined by approximately 45° relative to one another in the larger construction used here. Once the possible 60° sector division around Antarctica is introduced, another question naturally follows:

How does the geometry of the Ring of Fire relate to 60° and 120° angular divisions? An interesting relationship appears at the equator, as the outer limits of the Pacific Ring of Fire, measured approximately from Indonesia to the western margin of South America, span about 150° of longitude.

However, the inner margins of the Ring of Fire lie approximately 15° inward from each outer margin.

Therefore we get; 150° − 15° − 15° = 120°, so the effective width of the inner Ring of Fire is consequently about 120°.

This is particularly significant because 120° is exactly one third of a complete circle: 360° / 3 = 120°.

It therefore becomes possible to construct three comparable great tectonic ring systems around the Earth, each displaced by approximately 120° from the next.

These may provisionally be called:

1. The Pacific Ring of Fire
2. The Indian Ocean Ring
3. The Atlantic Ring

The Pacific Ring is by far the most conspicuous of the three because the tectonic boundaries around the Pacific are exceptionally well developed: long subduction zones, major transform systems, volcanic arcs and associated seismic belts together produce the familiar Ring of Fire.

The other two proposed rings are less visually obvious. Their boundaries are interrupted by continents, ocean basins and tectonic systems of different ages, and they have not generally been considered as parts of equivalent circular structures. Nevertheless, when their positions are examined in the same geometric framework, substantial agreement with known geological features becomes apparent.

Three overlapping 120° systems

The important point is that these three rings should not necessarily be imagined as three completely separate circles placed side by side, and they overlap.

If three equivalent rings are arranged around the globe so that the inner margins of neighbouring rings meet or intersect at the principal division points, a repeating global pattern is produced. In this construction, each ring occupies approximately a 120° internal sector, while the outer tectonic expression may extend farther and overlap with the neighbouring ring.

This overlap may be geologically important. The Pacific Ring of Fire itself becomes easier to understand when viewed in this way.

Kermadec–Tonga and the overlap with the Indian Ocean Ring

One of the most interesting examples is the Kermadec–Tonga system. Kermadec–Tonga lies noticeably inside the broader geometrical outline of the Pacific Ring of Fire rather than simply following its outermost boundary. In a model based only on a single Pacific ring, this position appears somewhat anomalous.

However, if the Indian Ocean Ring overlaps the Pacific Ring, the position of Kermadec–Tonga becomes much more natural. It lies within the zone where the two systems interact.

Thus, what may initially appear to be an irregularity in the Pacific Ring may instead represent the superposition of two larger tectonic geometries:

Pacific Ring + Indian Ocean Ring.

This would also help explain why the southwest Pacific is tectonically much more complicated than a simple elliptical outline would suggest. The region around New Zealand, Kermadec, Tonga, Fiji and the neighbouring back-arc systems lies precisely where different large-scale tectonic systems would be expected to overlap.

In this interpretation, the complexity is therefore not necessarily evidence against the larger geometry. It may actually be one of its consequences.

Antarctica as the geometric reference

Antarctica provides an unusually useful reference system for examining these relationships because several different geometries appear to be centred on, or organized around, the South Polar region.

At least three levels can be distinguished:

A global rather than a regional geometry

The important point is not simply to draw three circles on a map and search for features that happen to lie upon them. The relevant question is whether independently mapped geological structures repeatedly coincide with the predicted boundaries, axes, intersections and overlap zones.

The Pacific Ring of Fire provides the clearest test because its tectonic structure is so well mapped. Its inner and outer margins can be distinguished, its major axes can be compared with Antarctic geometry, and key locations such as the Alpine Fault, Yellowstone and Kermadec–Tonga provide additional geometric constraints.

If the same construction can then be followed through the Indian Ocean and Atlantic regions, using independently mapped ridges, subduction zones, continental margins, transforms and other major tectonic boundaries, the comparison becomes considerably more significant.

The proposed relationship can therefore be summarized as:

Antarctic 60° sectors
→ pairs of sectors forming 120° divisions
→ three overlapping tectonic rings around the Earth.

The three proposed systems are:

Pacific Ring of Fire — Indian Ocean Ring — Atlantic Ring.

Of these, the Pacific Ring is presently the clearest geological expression. The Indian Ocean and Atlantic rings require more detailed examination, but their predicted positions already coincide with several major tectonic structures.

Perhaps most importantly, viewing the three rings together does not weaken the familiar geometry of the Pacific Ring of Fire. It may actually make it more complete, because features such as the inward position of the Kermadec–Tonga system can be interpreted as the result of overlap between neighbouring global tectonic systems rather than as departures from the general pattern.