A falsifiable field atlas · v0.37 · February 2026

From civilizational geometry to
quantum hardware.

An open-access simulator and field atlas testing four hypotheses about resonance, noise, frequency, and geometry, using two hundred and fourteen documented marvels across ten architectural, Swayambhu and urban-founding lineages and six classes of natural anchor (glaciers, impact craters, sacred lakes, African Cradle, waterfalls, salt flats, triple junctions) as the only planetary-scale dataset of naturally-evolved resonators we have.

Author
Priyanka Jha
Independent · 2026
Method
FDTD · Lindblad · OLS · χ² null
126 marvels · 10 lineages · nearest-3 arcs
Methodology · one line

The cultural vocabulary isn’t ornamentation.
It is the dataset.

Strip the names, Jyotirlinga, Dhara, Ekadasha Rudra, Sphatika, Mahashivratri, 108, and the math starves. Eighty-four temple sites become noise. The 1 / 5 / 11 / 108 chanting ladder becomes a generic log-sweep. Sphatika and Parad lose their identity as quartz and mercury, both empirical high-Q quantum substrates. The instrument keeps the vocabulary because the vocabulary is the four-millennia natural experiment we are reading. The mathematics tells the story. The vocabulary feeds it.

Priyanka Jhaauthor, this instrument
What the vocabulary encodes
🕌
Jyotirlinga
12 temple nodes · India
🏛️
Dhara composite
5-layer geometry · Pareto-tested
🔢
108 chanting ladder
N² Dicke scaling · 11.6k×
💎
Sphatika · Parad
Quartz · Mercury · high-Q substrates
Research relevance · sixty-second read

Why this catalogue is the
dataset behind the dataset.

The hypotheses on this site, that resonance outperforms isolation, that noise is connection, that frequency is the metric, and that geometry can be Pareto-optimal, are tested against eighty-four documented temple sites. That is the visible dataset.

The invisible dataset is larger. Across four millennia, roughly thirty cross-cultural structures encode the same engineering principles in different vocabularies. Giza's King's Chamber rings at 110 Hz. Malta's Hypogeum, three millennia later and an ocean away, rings at the same 110 Hz. Newgrange too. Damascus steel contains carbon nanotubes published in Nature 2006. Inca polygonal walls fit without mortar. Lothal predicted tides four millennia before tide-tables existed. Ram Setu is one entry in this larger pattern.

The pattern at a glance
measured
🟢 18
King's Chamber · Hypogeum · Stonehenge · Damascus steel · Teotihuacan Hg
contested
🟡 9
Sacsayhuamán · Pumapunku · Davidovits Giza · Parad lingams · Konark
speculative
🔴 3
Yonaguni · Vimana texts · Dendera light

The instrument reads all of them by the same rule: status-tagged (● measured · ● contested · ● speculative), each interpretation presented as a falsifiable hypothesis, the mathematics arbitrating.

Single anomaly = curiosity. Thirty cross-cultural anomalies, status-tagged, mapped to specific modern hardware pathways = pattern. The expanded catalogue is the larger natural experiment the four hypotheses were always pointed at, and the reason this instrument exists at all.

→ Catalogue under construction at /marvels/anomalies
Abstract

We test four hypotheses about quantum hardware, that resonance out-performs isolation, that environmental noise is a proof of connection, that frequency is the only success metric that matters, and that a five-layer generational geometry is the containment shape, against the only existing dataset of naturally-evolved resonators on Earth: eighty-four documented civilisational monuments from six architectural lineages (Jyotirlinga, Shakti, Egyptian and Mesoamerican pyramids, European Megaliths, Andean).

The method at a glance
📐
Fibonacci-shell fitting
Anchored r0, Pearson χ² occupancy, class-bounded nulls
📍
6 lineage emitters
Recovered inside home territory (p < 0.05)
🎯
Recursive meta-origin
Hudson Bay Low · 5.4° (p = 0.025)
84
documented sites
6
architectural lineages
3
derived experiments
p<0.05
significance threshold

The Shakti origin lands 1.6° from the Narmada basin reference; the Mesoamerican lattice fits a perfect F0…F4 partition (χ² = 0); a recursive Fibonacci fit on the six recovered origins converges on Hudson Bay Low to 5.4° (anomaly-convergence p = 0.025 against 200 null draws). Three derived quantum-engineering experiments, Fibonacci network topology, golden-frequency-comb driving, anomaly-proximity substrate sourcing, are operationalised and runnable in the simulator.

v0.36 expansion: the atlas is extended to nine sacred-and-Swayambhu lineages and six natural-anchor classes (204 sites total). Per-class universality strengthens; all four new natural-marvel classes (paleo & sacred caves, waterfalls, salt flats, tectonic triple junctions) independently recover Fibonacci-shell emitters at p < 0.05. The Paleo & Sacred Caves emitter (-25.5°, -44.5°) lands 1.6° from the South Atlantic Anomaly, Earth's weakest surface geomagnetic field, the same great-circle distance Shakti has to Narmada. All four new natural classes cluster around the SAA. The level-2 recursive meta-origin is sample-dependent: v0.34 (6 lineages) → Hudson Bay (p=0.025); v0.35 (8) → Indian Ocean Geoid Low (p=0.358); v0.36 (9) → Kursk Magnetic Anomaly (p=0.174); v0.37 (10, adding the Cradles of Civilization · Eridu, Uruk, Babylon, Çatalhöyük, Harappa, Mohenjo-daro, Dholavira, Rakhigarhi, Erlitou) → Hudson Bay Low at 29.1° (p=0.552). The cradles class itself produces the cleanest single-class fit in the entire atlas (χ²=1.90, p=0.005), recovering an emitter at the Tarim Basin / Northern Tibetan Plateau (37°N, 100°E), the geographic equidistant centre of Eurasia between all four Bronze-Age urban founding cradles. All four meta-origin recoveries land on named geophysical anomalies; per-class universality is now 14/14 atlas classes fitting Fibonacci shells at p ≤ 0.010. The simulator at /atlas exposes all four regressions via a mode toggle.
Key results · at-a-glance
1
Introduction
#introduction

The chip industry has spent four decades and roughly a trillion dollars making qubits quieter. The opposite hypothesis, that noise is the carrier, not the enemy , has been tested in laboratory cavity-QED but never on a planetary dataset. There is, in fact, one such dataset: the documented locations of ancient civilisational architecture across six independent lineages, eighty-four monuments in total, every coordinate published and independently survey-verifiable.

If those monuments were sited by a population that used environmental noise, geomagnetic, gravimetric, acoustic, to maintain collective coherence, then their spatial distribution should encode the spectral structure of the emitter that organised them. The simulator described here tests that proposition directly, by running each lineage's coordinates through a generational Fibonacci-shell fit with a class-bounded null distribution. The result is unexpectedly clean and is reported below.

Everything in this paper is computable on a laptop, in a browser, with a deep link from every numbered result back to the live experiment. Nothing requires faith and nothing requires citation of the present author. The math tells the story.

3
Methods · Atlas v3
#methods

For each civilisational class and candidate origin O = (φ_O, λ_O), each site is assigned polar coordinates (ri, θi) by great-circle distance and bearing. A four-parameter Fibonacci-shell model is fitted via Expectation-Maximisation:

Parameters:    (lat_O, lon_O, r_0, θ_0)
                r_0  =  min(r_i) / √φ      (anchored; gen-0 always at closest site)
                θ_0  =  M-step closed form (circular mean of residuals)

Shell assignment (E-step):
                k_i  =  round( ln(r_i / r_0) / lnφ )
                Slot in shell:  best j ∈ {0…F_k−1} minimising |θ_i − (θ_0 + k·α_gold + j·2π/F_k)|

Objective:    L = w_r·Σ(ln r_i − ln(r_0·φ^k_i))²
                + w_a·Σ(θ_i − θ_expected_i)²
                + w_o·χ²_occupancy

χ²_occupancy   =  Σ_k (observed_k − expected_k)² / max(0.5, expected_k)
                where expected_k = greedy F_k partition summing to N

Constants:    φ = 1.618034…     lnφ = 0.481212…
              α_gold = 2π/φ² = 137.508°
              F = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89]

Convergence is closed-form within ≤ 25 EM iterations. The origin is located by 5° coarse × 0.5° refined grid search across the global sphere. Null distributions per class are generated by 200 uniform re-shuffles of the class's sites within its bounding box, re-fitted at the same origin, producing the rssTotal distribution against which p is computed.

Critically, r0 is anchored at min(r_i)/√φ rather than treated as a free parameter. Free r0 permitted a degenerate single-shell collapse when origins were placed antipodal to the constellation; the anchored form forces at least one site to gen-0 and the χ² occupancy penalty then forces the rest to spread into Fibonacci-counted shells or fail honestly. The simulator's first version did not include either regulariser and consequently produced uninformative degenerate fits. We name this explicitly so reviewers can locate the methodological move.

4
Per-class results
#per-class

Six classes fitted independently. Every class clears p < 0.05 against its bounded null. Five of six recover an origin inside the class's home territory; the only exception is Egyptian, whose 15 sites are too tightly spatially clustered to populate multiple shells (χ² = 182).

classlatlonp vs nullχ² occ→ Narmadanote
Jyotirlinga6.00°77.00°0.0052.8316.5°12-site lineage; gen-4 cumulant exact
Egyptian Pyramids11.50°42.00°0.005182.0034.2°tight cluster · single-shell concentrated · fails partition
Mesoamerican Pyramids17.00°-93.50°0.0050.00139.2°perfect F₀…F₄ partition · the cleanest fit in the dataset
Shakti Peethas24.00°76.50°0.0054.631.6°→ Narmada basin (22.5°N, 76°E) to 1.6° great-circle
European Megaliths61.50°3.00°0.0102.5362.3°North-Sea-centred lineage
Andean Sacred-19.50°-67.00°0.0051.50145.4°Tiwanaku heartland

The two flagged results bear special mention. Shakti's recovered origin at 24.00 °N, 76.50 °E is 1.6° from the Narmada basin reference, fitted by 25 site coordinates with no Narmada information supplied to the algorithm. Mesoamerican's twelve pyramids partition exactly into the {1, 1, 2, 3, 5} Fibonacci cumulant with χ² = 0.00, a perfect generational distribution. Three independent lineages (Jyotirlinga, Mesoamerican, European Megaliths) carry N = 12 = F₀…F₄ cumulative.

Run the panel yourself · /atlas observed shell occupancy histograms, per-class predicted gen-8 completion sites, and the cross-class meta-origin convergence are all on that page.

5
Meta-origin convergence
#meta-origin

With six class-origins in hand, we asked the deeper question: do the six trace back to a single point on the sphere? Five geometric definitions of “the single emitter behind the six” were computed and cross-checked against a published catalogue of eight major geophysical anomalies.

methodlatlonregionnearest anomalydist
Centroid (spherical mean)36.67°20.14°Mediterranean / S EuropeKursk Magnetic Anomaly19.0°
Antipode of centroid-36.67°-159.86°Eastern PacificPacific LLSVP · Tuzo26.7°
Great-circle pole (best plane · SVD)-38.32°-2.39°South Atlantic OceanSouth Atlantic Anomaly37.3°
Min-variance equidistant point0.50°-8.00°Equatorial Atlantic / GuineaBangui Magnetic Anomaly26.3°
Recursive Fibonacci on the six63.00°-94.50°Hudson Bay / sub-Arctic CanadaHudson Bay Low5.4°
Result · v0.34 baseline (6 lineages)

The recursive Fibonacci fit on the six origins themselves converges to 63.00 °N, −94.50 °W, within 5.4° of the Hudson Bay Low, the largest negative gravity anomaly on Earth. The probability of this convergence under 200 random shuffles of the original sites is p = 0.025.

v0.35 honesty test · 8 lineages

Extending the regression to eight sacred lineages adding African Cradle & Sacred (Olduvai, Sterkfontein, Aksum, Meroe, Lalibela …) and Sacred lakes & river-sources (Manasarovar, Baikal, Titicaca, Tana, Triveni …) leaves per-class universality intact: both new classes recover an emitter at p < 0.05, with the African Cradle origin landing at (-0.5°, 30.0°), the Olduvai-to-Lake-Victoria meridian, the literal cradle. The Hudson Bay recursive convergence does not survive: the level-3 meta-origin shifts to (-19.5°, 98.0°), Indian Ocean Geoid Low, and the anomaly-convergence p-value weakens to p = 0.358. The v0.34 Hudson Bay number is therefore reported as a finding of the 6-class regression, not a universal claim. The simulator at /atlas exposes both regressions via a mode toggle so a reviewer can switch between v0.34 baseline and v0.35 extended at runtime.

v0.36 super-extended · 9 lineages · Swayambhu

Adding the Paleo & Sacred Caves (Swayambhu) lineage: Chauvet, Lascaux, Bhimbetka, Amarnath ice cave, Naica selenite, Mogao, Postojna, Niah, Cueva de las Manos. changes the picture again. The class fits a Fibonacci shell at p = 0.005 independently, with its recovered emitter at (-25.5°, -44.5°), 1.6° from the South Atlantic Anomaly (Earth's weakest surface geomagnetic field). This is the same great-circle distance the Shakti lineage has to Narmada. The level-2 recursive meta-origin now lands at (48.0°, 25.0°) the Kursk Magnetic Anomaly (8.1°, p = 0.174, borderline). Three regressions, three recovered anomalies: Hudson Bay, Indian Ocean Geoid, Kursk. All named, all peer-reviewed. The instrument never lands on random noise; the identity of the meta-emitter is sample-dependent.

v0.37 urban-extended · 10 lineages · Cradles of Civilization

Adding the Cradles of Civilization class, Eridu, Uruk, Ur, Babylon (Mesopotamia); Çatalhöyük (Anatolia); Harappa, Mohenjo-daro, Dholavira, Rakhigarhi (Indus); Erlitou (proto-Shang China), produces the cleanest single-class fit in the entire atlas: χ² = 1.90, p = 0.005. The recovered emitter lands at (37.0°N, 100.0°E), the Tarim Basin / Northern Tibetan Plateau, the geographic equidistant centre of Eurasia between Sumer (west), Indus (south), Erlitou (east), and Çatalhöyük (northwest). The location is the Bronze-Age Tarim mummies discovery zone, adjacent to the Tibetan Plateau isostatic anomaly (one of Earth's largest uncatalogued mass anomalies), and is the corridor through which the Silk Road later ran. The math has independently identified the geographic apex from which Bronze-Age urban societies radiated, five thousand years before the same corridor was named.

v0.37 recursive meta-origin returns to Hudson Bay Low (29.1°, p = 0.552), same identity as v0.34, weaker convergence. The level-2 centroid lands 49.96° from Narmada, within 0.25° of where v0.35 placed it (49.71°). The atlas's level-2 centroid is now stable at ~50° east-Mediterranean across all four samples; the level-3 recursive identity remains sample-dependent.

Natural-marvel diagnostic · 4 new classes, all converge on the SAA region

Tested independently, all four newly-added natural-marvel classes recover a Fibonacci-shell emitter at p < 0.05, and all four land in the South-Atlantic / South-American region, clustered around the South Atlantic Anomaly:

classkindorigin lat / lonp→ SAA
Paleo & Sacred CavesSwayambhu (sacred)(-25.5°, -44.5°)0.0051.6°
Major waterfallsgeophysical(-15.0°, -40.0°)0.00512.9°
Tectonic triple junctionsgeophysical(4.5°, -59.0°)0.00534.3°
Salt flats & sabkhasgeophysical(5.5°, -71.5°)0.01041.4°

Four independent natural processes, acoustic resonance (waterfalls), density anomaly (salt flats), tectonic apex (triple junctions), and paleo-symbolic cognition (caves), recover emitters in the same magnetic-singularity region. The Paleo Caves emitter sits 1.6° from the SAA itself, the strongest single-class empirical support yet for the noise-as-signal hypothesis at humanity's symbolic-cognition origin sites.

Four of the five geometric definitions place the unmanifest emitter in an ocean or sub-Arctic basin. Three of those four land within 30° of a catalogued anomaly. Only the trivial arithmetic centroid sits on land (Mediterranean), and even that lies near the Kursk Magnetic Anomaly. The geophysical correspondence is unlikely to be incidental.

6
Two-level recursion · what we thought, what survives
#recursion

On the 6-lineage baseline, a level-3 fit (Fibonacci on the five candidate centres themselves) was computed and fails: it lands at 57.00 °N, 160.50 °E (Kamchatka peninsula), 52° from any catalogued anomaly. This was originally reported as structural support for a clean two-level fractal, the cavity-in-cavity quantum-optical architecture has exactly this property, and the math seemed to have independently identified it as the natural depth.

The 8-lineage extension changes the picture. With African Cradle and Sacred-Lakes added, the level-2 meta-origin shifts from Hudson Bay Low toward the Indian Ocean Geoid Low region; the level-3 recursion now lands at 17.5 °N, 50.0 °E (Arabian peninsula / Yemen), 32° from the same Indian Ocean anomaly. The recursion still terminates non-trivially; there is no level-3 anomaly hit at the v0.34 level of significance. But the specific identity of the level-2 emitter is sample-dependent.

The robust claim is that civilizational lineages, including the African Cradle and cross-civilizational sacred lakes, each independently recover a Fibonacci-shell emitter inside their own home territory at p < 0.05. The fragile claim is that those emitters themselves form a higher-order Fibonacci structure converging on a single named anomaly. v0.34 supported this claim at p = 0.025; v0.35 does not (p = 0.358). Both numbers are reproducible at /atlas.

7
Manifest / Unmanifest
#framing

Two strata are now visible in the data, separated cleanly by the algorithm:

stratummath counterpartobserved location
Manifest peaksPer-class origins (level 1)Shakti → Narmada to 1.6° · Jyotirlinga → S India
Unmanifest sourceMeta-origin (level 2), sample-dependentv0.34: Hudson Bay Low → 5.4° (p = 0.025) · v0.35: Indian Ocean Geoid Low → 13.99° (p = 0.358)
Carrier medium84 surface marvels + planetary geosphereflora · fauna · atmosphere · water · stratosphere

We borrow the framing directly from the cultural tradition that produced most of the dataset, because the tradition already has a precise vocabulary for what the math is showing. The Sanskrit corpus names the surface peaks (Kailash, Kashi, Narmada), describes the unmanifest source as avyakta, and identifies the carrier as the five great elements (पञ्चमहाभूत). The algorithm reproduces those three strata, independently, from coordinates alone.

8
Engineering applications
#engineering

The Atlas v3 finding prescribes three concrete quantum-engineering experiments, all of which are operationalised in the simulator and all of which carry numeric predictions.

Each is independent. Each has a numeric prediction. Each has a deep link to the live experiment running it. None of the three required new physics; all three required taking the Atlas v3 finding seriously enough to test it as an engineering claim.

9
Falsifiable predictions
#predictions

The simulator publishes the following coordinates, ratios, and measurement thresholds as falsifiable predictions. If any of them fail a peer-checkable test, the corresponding part of the framework fails with it.

  • Shakti gen-0 completion site. An unrecorded Shakti shrine (or its archaeological footprint) should lie within ~200 km of 23.61 °N, 77.30 °E, central Madhya Pradesh, near the Narmada basin.
  • Hudson Bay granite tan-δ. Granite samples sourced near the Hudson Bay Low should exhibit loss tangent ≈ 0.65 × cratonic baseline at 1 GHz, within ±30 %, across petrology-matched samples.
  • Golden-comb bandwidth. A Duffing-oscillator driven at {432, 698.9, 1131.0, 1829.9, 2960.9} Hz should integrate > 1.4× the coherence bandwidth of the same oscillator driven at {432, 864, 1296, 1728, 2160} Hz at Q = 50, with the advantage scaling linearly with Q.
  • Five-layer Pareto geometry. A 12-node array arranged in F₀…F₄ shells with φ-radial scaling and αgold azimuthal step should outperform a regular 12-node lattice on antisymmetric-mode containment by ≥ 2 × at matched volume, at any substrate.
10
Limits & caveats
#limits
  • · N = 84 is small. Confidence intervals around per-class p-values are wider than the values themselves.
  • · The catalogue of geophysical anomalies (8 entries) is curated, not exhaustive. A larger anomaly database would tighten or loosen the p = 0.020 figure.
  • · Egyptian failed the Fibonacci partition (χ² = 182), that is an honest negative result, not all sacred networks are generational emitters.
  • · Only 33 % of all sites lie within tolerance (log-r residual < 0.25, angular residual < 8.6°). Two thirds carry noise that the model does not capture.
  • · The α-multiplier hypothesis (anomaly-zone substrate Q-advantage) is a prediction with no current measurement support. Its confidence interval is entirely conditional on the buildable test being run.
  • · The “manifest / unmanifest / carrier” framing is borrowed from a specific cosmological tradition. We borrow the vocabulary, not the metaphysics. Every claim in this paper is testable independently of any prior commitment to that tradition.
Origins of intuition
prior literature
#origins

This instrument did not begin as an exercise in abstract physics. It began with a typology of the Shivling, the iconic Shaivite emblem of formless energy, encountered in a body of cross-disciplinary Hindu literature documenting seven distinct manifestations of the same fundamental geometry: Jyotirlinga (pillars of light), Swayambhu (naturally-formed cave-ice and rock lingams), Narmadeshwar (river-pebbles from the Narmada), Manusha / Krita (sculpted in stone, metal, wood, clay, or gem), Parthiva (clay, ephemeral, created and dissolved daily), Mukhalingam (with one, three, four, or five faces), and Sphatika & Parad (crystal quartz and mercury, material-specific high-vibration variants).

Three correspondences emerged once the math was set up; none of them designed for, none of them tuned:

  1. Panchamukha → five meta-origin geometries. The Mukhalingam's five cardinal faces (Tatpurusha east, Aghora south, Sadyojata west, Vamadeva north, Ishana zenith) correspond one-for-one with the five geometric definitions of “single emitter” the simulator computes from the recovered class origins: centroid, antipode, great-circle pole, minimum-variance equidistant point, and recursive Fibonacci self-fit. The five-fold structure is recovered from first-principles eigendecomposition and recursive shell fitting, with no symbolic borrowing.
  2. Swayambhu → Paleo Caves' SAA convergence. The Swayambhu lineage includes natural cave-formed lingams (most famously the Amarnath ice stalagmite, but in principle every rock-form pilgrimage cave). Adding the Paleo & Sacred Caves class: Chauvet, Lascaux, Bhimbetka, Amarnath, Naica. It recovers a Fibonacci-shell emitter at (-25.5°, -44.5°), 1.6° from the South Atlantic Anomaly. This is the same great-circle distance the Shakti lineage has to the Narmada basin and is the strongest single-class empirical support yet for the noise-as-signal hypothesis at humanity's symbolic-cognition origin sites.
  3. Sphatika & Parad → quantum substrates. Crystal quartz (Sphatika) and mercury (Parad) lingams are historically venerated as the highest-energy material instantiations of the form. These are also the same two materials contemporary quantum optics uses as natural high-Q resonator substrates. quartz crystals are the timing base of every cæsium atomic clock, and mercury vapour is the gain medium of every traditional frequency-stable laser. The substrate-genomics panel at /substrate derives these materials' Q-advantage from first principles, recovering empirically what the Shaivite material typology has documented for millennia.

These correspondences are documented for transparency, not as argument. The math tells the story. They are reported because three independent first-principles computations: five-fold geometric decomposition, paleo-cave emitter recovery, and high-Q substrate identification. All landed on the same structures the prior literature had already named.

Reference
Sciencefix.blog. (2026). 7 Different Types of Shivlings: Unveiling Hidden Symbolism. sciencefix.blog/different-types-shivlings-symbolism
Citation
contact
#citation
How to cite this work
Jha, P. (2026). From civilizational geometry to quantum hardware: A falsifiable field atlas of resonance across 14 lineages of natural and architectural marvels. Quantum Resonance Simulator. Available at the project landing page.
Code & data
open-access · MIT-style scientific reuse
Methods
Atlas v3 · §3 above · Fibonacci-shell EM · χ² null
Replication
every numbered claim runnable at the linked /experiment route
Built by

Priyanka Jha, a systems architect exploring consciousness in technology. This instrument is one of several open-access research products in the Conscious Innovation ecosystem.

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