Derivation of SM Gauge Couplings

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

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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