Every card is a traceable expression, not a magic number.
The calculator evaluates a compact, unitless registry in JavaScript. Values are presented as derivations within the Sankhya model; the SI comparison label is kept separate.
The place where curious minds stop reading about Sankhya and start deriving it.
Pick a zone below to explore. Everything runs in your browser — nothing to install.
Sankhya Calc
Enter a symbolic expression built from Sankhya's foundational symbols and constants, then read the answer in hybrid form — each symbol shown together with its numeric value. Hover any symbol in the result to see its Sankhya name, value, and source; click it to slide open its full Constant Explorer card right below the calculator.
Bracket depth — state
Modality — motion
Ladder of Phenomena
Here's the big secret the Ladder of Phenomena will unfold: nothing in Nature is a separate "thing." Every particle, every bit of matter, every object, and all radiation is simply a combination of a few stable states of energy density woven into the one elastic substratum — the holodeck.
Take the simplest atom, hydrogen. It isn't a tiny ball orbited by another tiny ball floating in empty space. It's a single polarized region of the holodeck holding a hadronic state (what we call its proton) locked in balance with a leptonic state (its electron). Same substratum, two stable states, one atom. Climb or descend the ladder and every rung — from the substratum up to the whole cosmos — is built from these very same stable states of energy density.
And the ladder is astonishingly orderly. Sankhya shows that every rung is the same elastic substratum counted at a different rate — a single interaction count C raised step by step, from the smallest unit of activity (My) all the way up to the whole cosmos (MU). Six balanced steps — C, C², C³, C⁴, C⁵, C⁶ — carry you from the Planck-time heartbeat of space, through the neutrino (NE), the electron and neutron (Me, PM), the metric elasticity of the field (St), and the Planck-mass (Mps), up to the Purusha “black-hole” state Kx. Because each step must loop back to the same central value, the whole ladder proves itself — this is Sankhya’s “Special System of Proof.” Gopala and Neil are preparing this journey for you.
Meanwhile, every one of these stable states already lives inside the Sankhya Calc — pick a symbol such as PM, Mee, or Kx from the Stable States row and click it to open its Constant Explorer card.
Based on the “Special System of Proof” and the “Ladder of Phenomenon,” Secret of Sankhya, Part 2 (pp. 103–106 and 419–427).
The calculator evaluates a compact, unitless registry in JavaScript. Values are presented as derivations within the Sankhya model; the SI comparison label is kept separate.
Select any registry card below. This display keeps each successive numerator and denominator unit visible, then shows the resultant unit after the ledger is resolved. No unit is assigned to the numeral 1.
Search by symbol, name, category, or derivation. Select a card to pin it to the lookup.
Dimensional analysis asks how terms combine inside an equation. This explorer asks what each system treats as foundational, how its measures are calibrated, and where an observer bridge enters.
Siddhi
Every result in this Discovery Zone was first seen in a still, coherent mind before it was ever written as an equation. Sankhya calls that trained, resonant coherence Siddhi — and it's a skill every person can build, not a gift for a chosen few.
Your five senses only catch the loud stuff — the light, sound, and heat radiating off the surface of things, one signal after another. But underneath all of it is the substratum: one silent, humming field that touches everything, everywhere, at the very same instant. Your senses can't reach it. Your thinking mind can.
That's the part that's uniquely human. We're the "thinkers," and the Siddhi process is how we couple straight into that field — not by pushing harder, but by going quiet. When the mind stills, it stops broadcasting and starts resonating, tuning in through the pineal "antenna" (that's literally what yoga means — to join through resonance) to the faintest, most subtle signals in the substratum, far below anything our senses can register. Do that, and you're linking straight to the source of all knowledge. Not magic, not a gift for a lucky few — a technology every single person can learn to switch on.
Picture a porous clay pot fully immersed in water. Keep shaking it and barely any water seeps in. Let it go absolutely still, though, and water seeps in from every side at once — filling it in the shortest possible time. We are, in effect, a bundle of Moolaprakriti immersed in a resonant sea of energy, just like that pot in water. So to absorb from that sea we have to do the same thing: sit very still, and let it seep in from all sides simultaneously. Insight arrives not by reaching harder, but by holding still.
Siddhi is a process for achieving a unique state of mind — the deeply relaxed, coherent condition you reach when body and mind stop working against the field around you and fall into step with it. In that state your inner activity all fires at once instead of in a busy sequence, so your own energy potential can quietly equalize with the resonant sea of the substratum. Patanjali called the joining Yoga — "to yoke," to synchronize through resonance.
Yes. Meditation has a measurable signature in the brain's electrical rhythms, which shift as attention settles:
You don't need a lab or a title to practice it — just curiosity and a quiet room. Siddhi is the part nobody sells you: sharpen the observer, and every other tool in this Zone works better. You're not chasing magic. You're lowering the noise floor on the one instrument you can never replace.
Adapted from G. Srinivasan, Siddhi and Meditation (kapillavastu.in / SSRG). Explore, verify, and make it your own.
Simulation Lab
The Simulation Lab gathers the Imagine Nature's Wheelwork tools alongside open-science collections — hundreds of interactive physics models you can run, visualize, and explore entirely in your browser. Use the quick links or search below to dive in.
The Imagine Nature's Wheelwork collection turns the ideas you read into things you can test, tune, and derive for yourself. The first Book 1 tools are now live — launch the collections below. More interactive simulations, calculators, and hands-on activities are on the way for Books 2–4.
Chantal Roth is a scientist and software engineer with a master's in biochemistry and a PhD in scientific computing from ETH Zürich, plus years building software in biotech and personalized medicine. What drives her is a plain, honest curiosity about how the world actually works — an evidence-based, critical-thinking, "follow the data wherever it leads" mindset, paired with a practical maker's habit of testing ideas rather than taking them on faith. That spirit runs through her open-source library of interactive models, which show how quantum mechanics, relativity, charge, spin, and wave behavior can emerge from a real, structured substratum. Every simulation runs in your browser and can be inspected, remixed, and shared.
Chantal shares her thinking on her blog, askingwhy.org, and collaborates with Fractal Women — exploring these ideas with Lori (Fractal Woman) in this video series ↗ and with James (Inductica) in this series ↗. For a guided overview, see her companion presentation, The Mechanical Universe ↗.
This collection features notable open-science tools from independent researchers exploring resonance, structure, and how energy organizes itself in the oscillating medium — direct investigations that resonate with Sankhya's core principles.
Open science
From Chantal Roth's open-source physics library to Andy Giger's phyllotaxis explorer, Bob Greenyer's resonance tool, and Basel Ashraf's Eigendrum — plus the INW learning tools on the way — these collections let anyone see how nature's wheelwork turns. Read the story behind the science, then keep exploring.