QNFO Papers
PapersAsk the corpusIdeasArchiveAboutWork with me

Quick read · plain language

A Circle-Based Idea for How Physics Works

A plain-language version of “Winding Number as Hidden Variable”

3 min readNo jargon, no mathematicsPhysics

The short version

This paper says all of physics might come from a simple circle. The number of times a path wraps around this circle could explain particles, forces, and even gravity. The idea makes testable guesses but has not yet been proven.

Why old ideas clash

Two big theories about nature do not fit together. One theory says space and time bend to make gravity. The other says space and time stay fixed while tiny particles move around. This clash hints that space, time, and particles might all come from something simpler underneath. The paper suggests that simpler thing is a circle. A circle can make both step-by-step patterns and smooth waves. This lets it act like a tiny computer that builds up everything we see.

Three steps that build reality

The paper proposes a three-step process. First, a starting pattern is written on the circle. Second, that pattern changes over time by fixed rules. Third, the one-dimensional pattern gets stretched out to look like three-dimensional space. The paper says the famous fixed numbers in physics, like the speed of light, are not built into nature from the start.

Where the eight-pi factor comes from

A well-known number in gravity equations, eight times pi, is usually treated as just a useful choice. The paper breaks it into three parts. One part comes from the circle's round length. Another part comes from the two ways a path can wind: clockwise or counter-clockwise. The third part comes from how a folded shape has an inside and an outside. The paper says gravity itself is not a true force carried by particles. It is just a bend in the stretching-out map. This would explain why no one has found the graviton, the supposed particle of gravity.

How particles get their traits

The paper says each particle has a whole number that counts how many times its path winds around the circle. The size of this number sets the particle's mass. The prime building blocks of this number set what forces the particle feels. The paper claims this idea matches known mass ratios very closely. For example, it uses the numbers one and about two hundred to get the mass ratio of the electron and the muon. The prime number two in a particle's winding number gives it electric charge. The prime number three gives it weak charge. A triple-winding shape gives strong charge.

Why some particles stay stable

Stable particles are picked by a rule tied to the golden ratio, about one and a half. This number is hard to approximate with simple fractions, so patterns near it resist disturbance. The three families of particles are linked to special prime numbers in a known number sequence. The paper admits that some of its own checks of this rule contain errors and need more work.

Big puzzles explained

The huge gap between everyday particle energies and the Planck energy is said to come from how rare stable numbers become at large sizes. The neutron's tiny electric imbalance is said to come from the phase structure of stable windings. The fact that quarks cannot be found alone is said to come from a rule that only whole windings are allowed. Dark matter is said to be heavy particles whose winding numbers lack the primes for electric and strong forces, so they only feel gravity.

Tests that could prove or disprove this

The paper says this idea can be proven wrong. It predicts a special wobble in gravity waves from pairs of orbiting dead stars. It also predicts a tiny delay in high-energy light crossing deep space. It says better measurements of particle masses could check its formulas. If these tests fail, the idea is wrong.

What remains unknown

The paper lists several gaps. The small correction terms in the mass formula are not yet derived from the circle itself. The stretching-out step is only worked out for flat space, not curved space. The full set of particle symmetries is not yet fully built from the winding number rules. The paper also notes its own golden ratio checks for some particles appear to contain mistakes.

Words used here

winding number
the count of how many times a path loops around a circle, like counting laps on a running track
prime factorization
breaking a number into its basic building blocks that cannot be split further, like breaking twelve into two times two times three
golden ratio
a special number, about one and a half, that appears in many natural patterns

Learn more in plain language

This plain-language version was written by an AI model from the text of the paper and checked against plain-language rules: everyday words, no mathematics, no unexplained names. It leaves details out and can still be wrong; the paper is the source of record. To report a problem, open the paper, select the passage and choose Report.

For specialists: the technical digest, quoted from the paper

In the paper's words

This paper proposes that physical reality emerges from a pre-geometric substrate based on the circle S¹, with its integer winding numbers providing a deterministic foundation for physics. A universal computation of pattern writing, evolution, and projection generates spacetime and particles, reinterpreting fundamental constants as geometric scaling factors. Particle mass and identity are determined by the magnitude and prime factorization of the winding number n.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

  1. Observations from the Planck satellite and galaxy rotation curves indicate that dark matter constitutes about 27% of the universe’s energy content, yet its particle nature remains unknown, making this a viable hypothesis (Planck Collaboration, 2020).

    from Resolution of

  2. The fine-structure constant, approximately 1/137, remains a mystery in this regard, but its dimensionless nature suggests it may be a pure number arising from such a geometric ratio (Mohr, Newell, & Taylor, 2016).

    from The

  3. Gravity The numerical factor of $8\pi$ that appears in the Einstein field equations, $G_{\mu\nu} = 8\pi G T_{\mu\nu}$, is conventionally treated as a normalization constant chosen for convenience to match Newtonian gravity in the weak-field limit (Einstein, 1915).

    from The $8\pi$ Projection Factor and Emergent

  4. The Bekenstein bound quantifies this limit as $I \leq 2\pi R E / (\hbar c \ln 2)$, where $R$ is the radius and $E$ is the energy (Bekenstein, 1981).

    from The $8\pi$ Projection Factor and Emergent

  5. The $8\pi$ factor in gravity can thus be seen as a consequence of how information encoded on a one-dimensional boundary is distributed across a three-dimensional bulk, a concept central to the AdS/CFT correspondence in string theory (Maldacena, 1999).

    from The $8\pi$ Projection Factor and Emergent

  6. For instance, the predicted muon-to-electron mass ratio, calculated using $n=207$ for the muon and $n=1$ for the electron, yields a value of 206.76828304.

    from The Unified Particle

How it is done

  1. Critically, the winding number serves as a global, topological hidden variable, evading Bell’s theorem and providing a deterministic basis for quantum mechanics without violating experimental results.

    from A

  2. This leads to the proposition of a Universal Computational Protocol, a minimal set of operations that define the algorithmic nature of reality.

    from The

  3. This interpretation finds support in information-theoretic principles, particularly the holographic principle and the Bekenstein bound.

    from The $8\pi$ Projection Factor and Emergent

  4. Precision spectroscopy offers a method to determine the correction coefficients ($\alpha$, $\beta$, $\delta$) in the mass formula.

    from Experimental

What would falsify it

  1. The model makes falsifiable predictions for gravitational wave modulation and gamma-ray dispersion.

    from A

  2. Similarly, the proton-to-electron mass ratio, derived from the winding number $n=1836$, predicts a value of 1836.152673, which matches the experimental value of 1836.15267343(11) with extraordinary accuracy (Tanabashi et al., 2018).

    from The Unified Particle

  3. This refinement allows the model to predict not only the gross properties of particles but also subtle effects like mass splittings within multiplets and the running of coupling constants, bringing it into closer alignment with the full complexity of the Standard Model (Nayak et al., 2008).

    from The Unified Particle

Where the claim stops

  1. However, within this framework, they are reinterpreted as emergent scaling factors of the geometric projection map.

    from The

  2. They do not represent arbitrary knobs tuned by nature but are mathematical artifacts that arise when translating information from the compact, one-dimensional computational space to the expansive, three-dimensional observational space.

    from The

  3. The fine-structure constant, approximately 1/137, remains a mystery in this regard, but its dimensionless nature suggests it may be a pure number arising from such a geometric ratio (Mohr, Newell, & Taylor, 2016).

    from The

Where to read

  1. A4,659 words · 20 min

Read from the paper itself: 11 sections, 4,660 words. Nothing in this digest is written by a model; a line that is not a sentence of the paper is not shown. Have a specific question? Ask this paper.

The full text · Ask the whole corpus