Experiment 07 · Energy-Centre Path · Logarithmic Spiral Mapping

Twelve geographic nodes.
One regressed spiral.

A least-squares logarithmic regression on the published coordinates of the twelve Jyotirlingas, centred at the calculated coordinate centroid in the Narmada River basin. The fitted spiral is extrapolated to test where it intersects independently-located global geological / cultural nodes.

EXPLAIN LIKE I'M 10
· everyday-language one-paragraph version
Twelve famous temples across India, plotted on a polar grid. Are they sitting on a hidden spiral, like the curve of a snail shell or a hurricane? We draw the spiral that fits best and report how tightly each temple lands on it. If the fit is good, the same shape that ancient builders used might be the shape modern quantum cavities should use.
WHAT YOU ARE LOOKING AT
The geographic locations of twelve specific Indian temples plotted on a polar grid and regressed against the equation of a logarithmic spiral. The R² value tells you how tightly the points fall on that spiral.
WHY THIS MATTERS FOR QUANTUM
A logarithmic spiral is self-similar across scales — a tiny one looks identical to a galaxy-sized one when zoomed in. The same property shows up in nautilus shells, hurricanes, the human cochlea, and the arms of spiral galaxies. The claim of this page is that the same law is encoded in these twelve placements. If it survives the regression, it points at a containment geometry nature already uses at every scale — including the one a quantum cavity sits at.
WHAT TO WATCH
The R² value. Above 0.9 is a strong fit. The 'what the numbers say' panel says whether the displayed equation actually clears that bar.
Polar plot · centred at Narmada (21.14° N, 76.72° E)
r = arc-degrees · θ = bearing CW from N
θ = 0.000 rad (0.0°) · r(θ) = 1.35°
R² (log-space) = 0.6515
Geographic inset · equirectangular projection
12 Jyotirlinga · 8 global nodes
The fitted equation
r(θ) = 1.348 · e 0.1924 · θ
A · scale factor
1.348
B · growth rate
0.1924
origin
21.1401° N, 76.7154° E
Residuals · per Jyotirlinga (sorted)
mean |Δr| = 2.34° · max |Δr| = 5.92°
SiteMeasured rFitted rΔr (deg)|Δr|/r
Omkareshwar1.22°1.24°-0.021.2%
Trimbakeshwar3.22°3.11°+0.113.5%
Bhimashankar3.63°2.98°+0.6618.1%
Mahakaleshwar2.22°1.25°+0.9843.9%
Grishneshwar1.83°2.94°-1.1261.1%
Kashi Vishwanath7.13°5.40°+1.7324.3%
Mallikarjuna5.46°7.67°-2.2140.4%
Somnath5.90°3.32°+2.5843.7%
Baidyanath9.79°5.68°+4.1242.0%
Rameshwaram12.11°7.93°+4.1834.5%
Nageshwar7.22°11.63°-4.4161.1%
Kedarnath9.82°15.74°-5.9260.3%
Spiral cursor · θ = 0.000 rad
−2π02π4π6π
r(θ) = 1.348° · wrap n = 0
Global extrapolation nodes
Mount Kailash
INWARD
31.07° N · 81.31° E · r = 10.7° · n = 2
fitted r = 16.26° · |Δr|/r = 51.3%
Lake Mansarovar
INWARD
30.66° N · 81.46° E · r = 10.4° · n = 2
fitted r = 16.35° · |Δr|/r = 56.7%
Adam's Peak
OUTWARD
6.81° N · 80.50° E · r = 14.8° · n = 2
fitted r = 26.33° · |Δr|/r = 78.0%
Angkor Wat
OUTWARD
13.41° N · 103.87° E · r = 27.0° · n = 2
fitted r = 21.32° · |Δr|/r = 21.1%
Mount Fuji
OUTWARD
35.36° N · 138.73° E · r = 55.6° · n = 3
fitted r = 62.15° · |Δr|/r = 11.9%
Mount Shasta
OUTWARD
41.41° N · -122.19° E · r = 115.0° · n = 4
fitted r = 178.83° · |Δr|/r = 55.4%
Giza Plateau
OUTWARD
29.98° N · 31.13° E · r = 41.8° · n = 3
fitted r = 40.30° · |Δr|/r = 3.6%
Mid-Atlantic Ridge
OUTWARD
0.00° N · -30.00° E · r = 105.6° · n = 4
fitted r = 128.09° · |Δr|/r = 21.3%
What the numbers say

The equation is a least-squares fit, not a derivation from first principles. R² > 0.9 in log-space says the twelve sites lie close to a single logarithmic-spiral trajectory — which is non-trivial but not, by itself, a claim of intentionality.

The interesting question is whether the residuals |Δr|/r for independently located global nodes (Kailash, Fuji, Shasta, Giza, Angkor, Mid-Atlantic Ridge) cluster as tightly as the residuals for the original twelve. If yes, the regression is doing better than chance. If no, the global-grid extrapolation needs to be retracted.