Quick read · plain language
A New Physics Built on Ratios, Not Numbers
A plain-language version of “Ultrametric Physics Research Plan”
The short version
This paper lays out a plan to rebuild physics using pure scaling ratios instead of human number systems.
Why ratios matter more than counting
The paper says today's physics depends on human choices. We use base-ten numbers, binary code, and unbroken curves with no gaps. These are tools we invented. The plan proposes something different. Physical reality might rest on pure ratios between sizes. These ratios do not change when we write them differently. The ratio of a circle's edge to its width stays the same in any number system. The plan treats such ratios as the true building blocks.
The core idea: trees made of scaling steps
The plan uses branching tree shapes called Bruhat-Tits trees, which are branching shapes where each level scales by a fixed ratio, like a family tree where each generation multiplies by a set amount. These trees have edges weighted by the logarithm of a scaling ratio, which means how much bigger or smaller one step is than the next. The trees are discrete, not smooth. Yet they can look continuous when viewed from far away. The ratio controls how fast the tree branches. This structure appears in many parts of the planned work.
What the twelve parts will cover
The work splits into twelve modules. The first four build new mathematics using ratios as basic tools. The next three apply this to quantum computing, asking how ratios could suppress errors and form logic gates. Modules eight through ten tackle gravity and the large-scale structure of space. Module eleven proposes that consciousness arises from a map between discrete ratio states and smooth experience. The final module pulls everything together into one view.
How this work will happen
One person will work half-time for about four months. Python code, which is a common programming language, will run inside chat threads. Results will go to an online archive and social media. The plan excludes normal physics tools: no labs, no online science archive, no formal peer review, no document formatting system.
What this plan does not show
The paper is a plan, not finished science. No module is complete. No prediction has been tested against real data. The consciousness model is speculation. It also admits that working alone risks isolation from other scientists. The timeline may be too short for such broad claims.
Words used here
- Bruhat-Tits trees
- branching shapes where each level scales by a fixed ratio, like a family tree where each generation multiplies by a set amount
- Monna map
- a way to project from a discrete branching structure onto a smooth line, like casting shadows from a wire frame onto a wall
Learn more in plain language
- Quantum error correctionWikipedia (English, more technical)
- Hard problem of consciousnessWikipedia (English, more technical)
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 research plan presents a framework for ultrametric physics based on fundamental scaling ratios rather than anthropocentric number representations. The core insight: physical reality is described by dimensionless scaling ratios (π, φ, e, α, etc.) that operate on hierarchical discrete structures, independent of any base representation (decimal, binary, etc.) or continuum assumptions. Ratio-Based Valuations: Scaling bases q ∈ ℝ⁺ as pure ratios, not decimal numbers 2.
The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.
Numbers it reports
Key Innovations: Ratio-Based Valuations : Scaling bases $q \in \mathbb{R}^{+}$ as pure ratios, not decimal numbers Base-Invariant Formulations : All mathematics independent of representation (decimal/binary/etc.) Hierarchical Discrete Reality : Bruhat-Tits trees as fundamental substrate Unified Framework : Addressing quantum computation, quantum gravity, and measurement theory simultaneously Constrained Methodology : 0.5 FTE PI, LLM-assisted, open dissemination at papers.qnfo.org/ResearchGate
from EXECUTIVE SUMMARY: THE RATIO-CENTRIC PARADIGMExpected Output : 8-12 page Markdown document defining ratio-based valuation framework, with theorems/proofs for $q = \pi , \varphi , e$, and Python implementations.
from FOUNDATIONAL MATHEMATICS (Modules 1-4)Expected Output : 8-12 page document deriving error suppression formulas, resource optimization with scaling ratio q, comparison tables.
from QUANTUM COMPUTATION THEORY (Modules 5-7)Module 10: Cosmological Dynamics from Ratio-Based Navigation Core Concept : Scale factor a(t) from tree branching statistics with scaling ratio q Research Questions: How does a(t) emerge from branching with scaling ratio q?
from QUANTUM GRAVITY AND COSMOLOGY (Modules 8-10)Module 11: Monna Map as Ratio-Based Consciousness Interface Core Concept : M: $K \to \mathbb{R}$ as projection from discrete ratio-based states to continuous experience Research Questions: How does Monna map transform ratio-based quantum states to qualia?
from CONSCIOUSNESS AND SYNTHESIS (Modules 11-12)Module 12: Synthesis: Adelic Ontology and Ratio-Based Unification Core Concept : Comprehensive synthesis based on monograph “Ultrametric Physics” Research Questions: How do ratio-based frameworks unify quantum computation and quantum gravity?
from CONSCIOUSNESS AND SYNTHESIS (Modules 11-12)
How it is done
Module Execution : Each module as single LLM chat thread Document Generation : Markdown with MathJax, base-independent formulations Code Implementation : Python for simulations/toy models (executable in chat) Archiving : the QNFO archive deposit with DOI, ResearchGate upload Dissemination : Social media with the QNFO archive links
from Research Protocol:All theorems with proofs or proof sketches Internal consistency across modules Base-invariance verification
from Mathematical Rigor:Low visibility : Strategic social media approach Misunderstanding : Clear explanations, responsive communication Platform changes : Primary archiving at papers.qnfo.org
from Dissemination Risks:By rejecting anthropocentric mathematical conventions (integer primes, real continuum, base-10 decimals) and focusing on ratio-based hierarchical structures, the framework offers a unified approach to quantum computation, quantum gravity, and consciousness.
from CONCLUSION: THE RATIO-CENTRIC PARADIGM
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 core insight: physical reality is described by dimensionless scaling ratios ($\pi , \varphi , e, \alpha$, etc.) that operate on hierarchical discrete structures, independent of any base representation (decimal, binary, etc.) or continuum assumptions.
from EXECUTIVE SUMMARY: THE RATIO-CENTRIC PARADIGMHow does tree Laplacian approximate $D_{q}^\alpha$ in continuum limit?
from FOUNDATIONAL MATHEMATICS (Modules 1-4)
Where to read
- EXECUTIVE SUMMARY: THE RATIO-CENTRIC PARADIGM111 words · 1 min
- RESEARCH CONSTRAINTS AND METHODOLOGY99 words · 1 min
- RESEARCH MODULES (12 MODULES)1,080 words · 5 min
- EXECUTION TIMELINE AND MILESTONES55 words · 1 min
- QUALITY METRICS AND SUCCESS CRITERIA71 words · 1 min
- RISK MITIGATION STRATEGIES67 words · 1 min
- EXPECTED CONTRIBUTIONS AND IMPACT68 words · 1 min
- CONCLUSION: THE RATIO-CENTRIC PARADIGM102 words · 1 min
Read from the paper itself: 29 sections, 1,659 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.