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How Information Density May Shape Physics Forces

A plain-language version of “Derivation of SM Gauge Couplings”

3 min readNo jargon, no mathematicsPhysics

The short version

This paper proposes that a single information field controls how strongly particles interact. The author derives new formulas linking this field to familiar physics constants. These "constants" may actually change from place to place.

Starting ideas

The paper rests on one core claim. Physical reality comes from information, not just matter and energy. Every point in space has an information density. The author calls this the information field. It measures how much information sits at each place. It is made into a pure number by comparing entropy to a fixed mass scale.

The information field connects to things we know. Energy, mass, temperature, and frequency all feed into it through known links. The author uses ideas from Landauer (who linked information to energy cost) and Einstein (whose relativity ties mass and energy) to build this bridge.

Building the tools

The paper defines a symmetry. Matter fields can shift by a phase (a shift in their wave cycle position) that depends on local information density. This symmetry yields a conserved current (a quantity that tracks flow without loss). The current tracks how information flows with matter.

Next comes a key rule. The effective strength of any force is a bare constant (a starting value before adjustments) times the local information field. This is not proved from deeper principles. The author justifies it by saying both quantities must be pure numbers. So proportionality is forced.

The paper also builds a Higgs potential (the energy shape that gives particles mass) using only pure number combinations. The Higgs field's resting value then becomes proportional to the information field. This means particle masses themselves vary with information density.

Deriving force strengths

The author promotes the global symmetry to a local one. This requires adding force-carrying fields. The transformation rule for these fields fixes the coupling to follow the information field proportionality.

For the simplest force, the math works through directly. For more complex forces with multiple interacting fields, the same pattern holds. The information field factor enters through the effective coupling in every case.

The paper then studies how couplings change with energy. By substituting the information field relation into standard flow equations, the author gets new equations for how the field itself evolves. The paper uses known results for two forces at one-loop order (the first level of quantum correction).

At very high energy, the paper assumes the field approaches a fixed universal value. Then all force strengths would meet at one value. This is coupling unification (all forces merging), but driven by information saturation rather than traditional mechanisms.

Links to measured numbers

The fine structure constant (the number that sets how strongly light and matter interact) varies as the square of the information field. The strong force constant follows the same square law. The Fermi constant (the number that governs weak radioactive decays) varies inversely with the fourth power of the information field.

The paper rewrites standard energy-flow equations entirely in terms of the information field. This is presented as a change of variables, not a new physical prediction.

What the paper claims and does not show

The paper states its main result as a theorem. All effective force strengths are bare constants times local information field. The fine structure and strong force constants go as the square of the field. The Fermi constant goes as one over the fourth power of the field. The flow with energy follows from substituting into known equations.

The paper does not test these claims against experiment. No data compares predicted spatial variation of constants with measurements. The information field itself is not detected independently. The assumption that the field approaches a universal constant at high energy is stated, not derived. The bare constants remain unexplained. The paper does not show why nature should pick this particular information-theoretic framework over others.

Words used here

information field
a measure of how much information exists at each point in space, made into a pure number by comparing to a fixed mass scale
Higgs field
the field that gives particles their mass in modern physics
Renormalization group flow
how force strengths change as you look at different energy levels, like zooming in or out

Learn more in plain language

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For specialists: the technical digest, quoted from the paper

In the paper's words

Objective: To derive the relationship between the Standard Model’s gauge couplings and the Kappa information field (κ(x)) using a self-contained, category-theoretic approach based on the principle of scale-invariant information thermodynamics. This derivation establishes that effective gauge couplings are proportional to κ(x), leading to spatial and energy-scale dependence of fundamental constants like the fine-structure constant (α ∝ κ²).

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

Numbers it reports

  1. Definition 1.2 (Kappa Field): The Kappa field $\kappa(x)$ is defined as: $$\kappa(x) = \frac{S(x)}{k_B M_0^3},$$ where $S(x)$ is the thermodynamic entropy density at spacetime point $x$, $k_B$ is Boltzmann’s constant, and $M_0$ is a fundamental mass scale.

    from I.

How it is done

  1. OF STANDARD MODEL GAUGE COUPLINGS FROM SCALE-INVARIANT INFORMATION THERMODYNAMICS Author: Rowan Brad Quni-Gudzinas Affiliation: QNFO Contact: rowan.quni@qnfo.org ORCID: 0009-0002-4317-5604 ISNI: 0000 0005 2645 6062 DOI: https://papers.qnfo.org/papers/derivation-of-sm-gauge-couplings/ Publication Date: 2025-09-28 Version: 1.0.1 Objective: To derive the relationship between the Standard Model’s gauge couplings and the Kappa information field ($\kappa(x)$) using a self-contained, category-theoretic approach based on the principle of scale-invariant information thermodynamics.

    from DERIVATION
  2. Definition 1.4 (Information Current): The conserved Noether current associated with Definition 1.3 is: $$J^\mu_{\text{IM}}(x) = \kappa(x) \bar{\psi}(x) \gamma^\mu \psi(x).$$ Justification: Applying Noether’s theorem to the symmetry in Definition 1.3, the variation $\delta \psi = i \alpha \kappa \psi$ yields the current $J^\mu = \frac{\partial \mathcal{L}_0}{\partial (\partial_\mu \psi)} \delta \psi + \text{h.c.} = \alpha \kappa \bar{\psi} \gamma^\mu \psi$.

    from I.
  3. Step 3.2 (Fermi Coupling Constant Relation): The Fermi coupling constant $G_F$ is related to the W boson mass $m_W$ by the standard relation: $$G_F = \frac{1}{\sqrt{2} m_W^2}.$$ From Lemma 1.7, $v(x) = \sqrt{2\alpha} \, M_0 \kappa(x)$.

    from III.
  4. Conclusion Theorem 4.1 (Gauge Coupling Relations): The effective gauge couplings of the Standard Model are determined by the local information density $\kappa(x)$ as follows: 1.

    from IV. Formal

What would falsify it

The paper's text states no explicit falsification criterion; the limits below are what it says about where the claim stops.

Where the claim stops

The paper's text states no limitation or caveat in its own sentences.

Where to read

  1. DERIVATION88 words · 1 min
  2. I.612 words · 3 min
  3. II.620 words · 3 min
  4. III.421 words · 2 min
  5. IV. Formal279 words · 1 min

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