Killing the Framework: Seven Criteria for the Falsification of Adelic Physics

In the paper's words

A framework that accommodates any observation has zero empirical content. This paper proposes seven kill criteria for the adelic framework, audits each for escape hatches, grades it against the incumbents (GR composite C, SM C, LCDM B, string D), tests all against existing data, and applies the Null-Equivalence Protocol: four of seven adelic criteria are VACUOUS (identical predictions to the null), three NON-OPERATIONAL, zero OPERATIONAL. Only the incumbents' tensions (H0, muon g-2) are OPERATIONAL.

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

Numbers it reports

1. The measurement agreed with GR to ~0.1%, tightening the Brans–Dicke bound; it did not falsify the scalar-tensor alternative outright.

   from 5.4 The GR Testing Program Under the Same Rigor

2. The SH0ES program measures the local expansion rate with 1 km/s/Mpc uncertainty: $H_{0} = 73.04 \pm 1.04$ km/s/Mpc [^15].

   from 7.3 Null Hypotheses Under Existing Data — Attempted Falsification

3. Without a numeric threshold — "discreteness must appear at or above $10^{-20} \ell _{P}$" — every null result is "we haven't probed deep enough." Current Lorentz-violation bounds are already extraordinarily tight (some down to $10^{-29}$ in Planck units) and the framework survives by placing discretization at still-smaller scales.

   from 2.3 KC3: Exact Continuum at All Scales

4. Operational kill criteria: Proton decay below the predicted GUT scale ($\sim 10^{34}$ years for minimal SU(5), already excluded; $\sim 10^{36}$ years for SUSY GUTs, still viable) Neutrinoless double beta decay (would confirm Majorana neutrinos; if excluded below the inverted-hierarchy threshold, the Majorana hypothesis is dead) Non-unitarity of the CKM matrix at $\gt 5\sigma$ (would break the SM's core consistency condition) Fifth force with coupling strength above current bounds ($\sim 10^{-3}$ of gravity at micron scales) Escape hatches — the free-parameter problem.

   from 5.2 Symmetric Audit: Falsifiability of the Incumbent Hypotheses

5. Proton decay was predicted by GUTs; the lifetime bound has been pushed past $10^{34}$ years; the predicted rate keeps falling.

   from 5.2 Symmetric Audit: Falsifiability of the Incumbent Hypotheses

6. A single null result (the GWTC-1 echo search, GRB 090510 Lorentz bound) cannot kill a framework with an unbounded amplitude or threshold, and cannot confirm one either.

   from 5.3 The Independence Requirement: Consilience as the Only Unbiased Evidence Standard

How it is done

1. Keywords: falsifiability, adelic physics, p-adic, ultrametric, black hole echoes, dark matter, automorphic representations, Ostrowski theorem, Popperian demarcation

   from Abstract

2. No "the amplitude could be smaller." No "we haven't probed deep enough yet." The adelic framework for fundamental physics [^1] proposes that the structure of physical law is governed by the completions of the rational numbers at all places — Archimedean and p-adic — per Ostrowski's theorem.

   from 1. Introduction

3. The note says "if we define a p-adic charge at each prime from the Compton idele" — but this definition has not been constructed, and no measurement protocol exists.

   from 2.1 KC1: Violation of the Global Product Formula

4. This is a moving goalpost. [not yet falsifiable] Second, the criterion requires "a future theory of quantum gravity, validated by experiment" — an event that may never arrive.

   from 2.3 KC3: Exact Continuum at All Scales

What would falsify it

1. A falsifiability critique that exempts the Standard Model, ΛCDM, and general relativity is not a methodological contribution; it is an asymmetric polemic.

   from 5.2 Symmetric Audit: Falsifiability of the Incumbent Hypotheses

2. 5.2.1 General Relativity The canonical narrative — that GR was decisively confirmed by a clean, unbiased observation in 1919 and has earned the top falsifiability grade ever since — does not survive historical scrutiny.

   from 5.2 Symmetric Audit: Falsifiability of the Incumbent Hypotheses

3. The Sobral astrographic plates gave ~1.98″ (near GR's 1.75″), but the Sobral 4-inch telescope plates gave ~0.86″ — close to Newtonian prediction (0.87″) and far from GR.

   from 5.2 Symmetric Audit: Falsifiability of the Incumbent Hypotheses

Where the claim stops

1. But it has not yet produced a single prediction that is (a) unique to the adelic structure, (b) falsifiable by a specified observation, and (c) binding — not evadable by parameter adjustment or auxiliary extension.

   from 1. Introduction

2. Concretely: a measured time-variation of the fine-structure constant $\alpha$ that cannot be expressed as a change in a single adelic modulus, or a particle interaction where a "p-adic charge" (defined from the Compton idele) is not conserved.

   from 2.1 KC1: Violation of the Global Product Formula

3. It cannot be "violated" in the formalism.

   from 2.1 KC1: Violation of the Global Product Formula

Where to read

1. Abstract138 words · 1 min
2. 1. Introduction204 words · 1 min
3. 2. Seven Kill Criteria2,149 words · 9 min
4. 3. Summary Assessment113 words · 1 min
5. 4. The Falsifiability Gradient150 words · 1 min
6. 5. The Deeper Problem4,291 words · 19 min
7. 6. Path Forward441 words · 2 min
8. 7. Data-Driven Falsification Audit: What Existing Observations Already Say2,358 words · 10 min
9. Declarations257 words · 1 min