Illuminating Science is a publication dedicated to the physical interpretation of modern physics — to finding and sharing clear explanations of what the equations of physics actually represent. The site exists because physics is, at present, very good at calculation and less attentive to meaning, and the consequence is that a large number of students, teachers, and working physicists use equations they do not fully understand. This site takes the problem of understanding seriously.
- Explainer articles that ask “what does this formula represent?” and answer with physical mechanisms, not only procedures.
- Original research, peer-reviewed, on the geometric structure of physical constants and formulas.
- Worked numerical examples that readers can verify for themselves.
- Direct engagement with objections to the site’s interpretive claims.
The mission
Physics has achieved more than any other quantitative science. Its predictions agree with measurement to more than ten decimal places in the best cases, and its equations are used to design the devices that mediate modern life — from the lasers in fibre-optic cables to the flash memory in every smartphone. On the question of what those equations actually describe, however, the field has been less settled than the record of prediction suggests. Feynman said plainly that nobody understands quantum mechanics. Wheeler held that the only way to know you had grasped quantum theory was to be confused by it. A 2025 Nature survey of more than a thousand physicists found that only twenty-four percent felt confident in any interpretation of quantum mechanics at all.
Illuminating Science takes this as a problem worth working on. The site is dedicated to the proposition that the equations of physics admit physical explanations — that behind every successful formula is a description of how nature behaves — and that finding those explanations is a legitimate and valuable aim of the science. The work here is Einsteinian in that sense: the purpose of physics is to describe what exists, not only to predict what instruments will register.
Editorial approach
A few commitments govern how content is made on this site.
Fact versus interpretation. Established physics is stated as established; interpretive moves are flagged as such. When the site advances an original interpretive claim, it says so, and presents the reasoning for the reader to examine.
Mathematics before philosophy. The site leads with the formulas, the derivations, and the numerical verification. Philosophical elaboration follows the mathematics, not the other way around. A claim that cannot be written down and checked does not belong on this site.
Verification where possible. Every framework claim is accompanied by at least one worked numerical example. Identities presented as exact are verified against CODATA values to the precision those values permit.
Extension, not correction. The original work on this site is framed as extension and clarification of the standard formalism, not as critique of it. Predictions are identical to the standard formalism; the decomposition developed here is an organizing choice that makes certain structural features visible. What the site advances is a reading, not a replacement.
Direct treatment of objections. The most common objections to the site’s framework — that it amounts to unit conversion, that the derivation is circular, that there is nothing new — each have precise responses. Those responses are presented openly and argued on the merits.
Research backbone
The original work on this site is grounded in peer-reviewed publications in the European Journal of Physics, the European Journal of Applied Physics, and Applied Physics Research. Further papers — including one introducing a wavevector field formulation of quantum mechanics — are in preparation for broader-scope venues. A complete bibliography, with abstracts and journal links, lives on the Published Papers page.
The site presents these research contributions accessibly, alongside the full mathematical detail for readers who want it. The content is organized in three registers — concept pages for the core ideas, explainer articles for the physics, and worked examples for the numerics — navigable in either direction. A physicist arriving from the published papers can walk back through the concept pages to test the framing; a curious reader arriving from an explainer can walk forward into the mathematical core and the papers themselves.
Scope
The site covers foundational topics in modern physics where there is a genuine question of physical meaning: universal constants, natural units, dimensional analysis, and the interpretation of standard formulas across mechanics, gravity, electromagnetism, and quantum mechanics, along with the relationships among them. The site’s most developed original contribution is the Planck-scale decomposition of physical constants and formulas — a reading of the standard equations that reveals a common geometric structure shared across domains.
The site is not a textbook substitute. Readers without a background in university physics may find some pages demanding; where feasible, explainers are written to be accessible, but the mathematical concept pages assume familiarity with the standard formulas. Nor is the site a forum for speculative physics without peer-reviewed grounding. Original claims here are grounded in published work, and preparatory material — arguments not yet formally submitted — is labeled as such.
Using the material
For students and the generally curious. The explainer articles — the ones asking what is momentum?, what does kinetic energy measure?, why is gravity so weak? — are the best starting point. Each one is self-contained and ends with a numerical example.
For physicists. The concept pages and peer-reviewed papers present the mathematical framework directly. What are Planck units? and The Structure of Natural Formulas are the primary reference points; the Published Papers page collects the peer-reviewed record.
For educators. Figures produced for this site are released under the Creative Commons Attribution 4.0 International License unless otherwise noted, and are free to use in classroom material with attribution. The explainer articles are written with classroom use in mind — each one is intended to stand alone as a reading assignment or lecture supplement.
For correspondence. Questions, corrections, and collaboration enquiries are welcome via the Contact page. The site actively seeks engagement from the physics community; if you think something on the site is wrong, please say so.