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A New Physics Based on Pure Ratios

A plain-language version of “ULTRAMETRIC PHYSICS”

2 min readNo jargon, no mathematicsPhysics

The short version

This paper proposes a new way to do physics using scaling ratios instead of human number systems. It outlines a research plan with twelve parts, but does not yet prove that this approach works.

Why old ways may fail

Current physics uses numbers like humans do. We write in base ten. Computers use base two. This feels natural to us. But nature does not care about human habits. The paper says we should use pure ratios instead. These ratios have no base. They do not depend on how we write them down.

What ratios mean here

A scaling ratio tells how much bigger or smaller something gets. The paper names some famous ones. One ratio links a circle's edge to its width. Another ratio appears in growth and spirals. A third ratio describes how things build on themselves. These ratios show up across nature. The paper treats them as more basic than counting numbers.

The building blocks of this new physics

The paper wants to use tree-like shapes as the bedrock of reality. These trees branch in steps. Each step uses a ratio to set the scale. The trees are called Bruhat-Tits trees. This is a math term for branching shapes where each level shrinks or grows by a fixed ratio. Think of a fern where each leaflet copies the whole shape at smaller size.

The twelve planned steps

The research splits into twelve modules. The first four build the math. They ask how to do calculus and geometry with pure ratios. The next three look at quantum computers. They ask how ratios might protect against errors. The following three tackle gravity and the whole universe. They ask how space and time might grow from tree navigation. The last two ask about mind and how to pull everything together.

What this plan does not show

The paper admits this is only a plan. No module is finished. No test has been done. No prediction has been checked against real data. The author works alone half-time. The paper says it will skip normal peer review. It also skips normal science archives. This means other experts have not yet checked the work.

What stays open

The paper lists many questions it cannot yet answer. It does not know which ratio works best for quantum computers. It does not know if time really can come from walking through trees. It does not know if this whole framework matches what we see in the sky. It does not know if the mind part can ever be tested.

Words used here

Bruhat-Tits trees
branching shapes where each level copies the last at a set scale, like a fern made of smaller ferns
Monna map
a way to turn discrete steps into smooth experience, like making a flip-book look like a movie

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 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

  1. Expected Output : 8-12 page Markdown document defining ratio-based valuation framework, with theorems/proofs for $q = \pi , \varphi , e$, and Python implementations.

    from FOUNDATIONAL

  2. Expected Output : 8-12 page document deriving error suppression formulas, resource optimization with scaling ratio q, comparison tables.

    from QUANTUM

  3. GRAVITY AND COSMOLOGY (Modules 8-10) Module 8: Wheeler-DeWitt Equation on Ratio-Based Trees Core Concept : Discrete WdW equation with kinetic term from scaling ratio q Research Questions: 1.

    from QUANTUM

  4. Module 10: Cosmological Dynamics from Ratio-Based Navigation Core Concept : Scale factor a(t) from tree branching statistics with scaling ratio q Research Questions: 1.

    from QUANTUM

  5. AND SYNTHESIS (Modules 11-12) 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: 1.

    from CONSCIOUSNESS

  6. Module 12: Synthesis: Adelic Ontology and Ratio-Based Unification Core Concept : Comprehensive synthesis based on monograph “Ultrametric Physics” Research Questions: 1.

    from CONSCIOUSNESS

How it is done

  1. 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:

  2. All theorems with proofs or proof sketches Internal consistency across modules Base-invariance verification

    from Mathematical Rigor:

  3. Low visibility : Strategic social media approach Misunderstanding : Clear explanations, responsive communication Platform changes : Primary archiving at papers.qnfo.org

    from Dissemination Risks:

  4. 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

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

  1. 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 Abstract

  2. How does tree Laplacian approximate $D_{q}^\alpha$ in continuum limit?

    from FOUNDATIONAL

Where to read

  1. Abstract111 words · 1 min
  2. EXECUTIVE120 words · 1 min
  3. RESEARCH102 words · 1 min
  4. RESEARCH MODULES (121,131 words · 5 min
  5. EXECUTION TIMELINE71 words · 1 min
  6. QUALITY METRICS78 words · 1 min
  7. RISK MITIGATION68 words · 1 min
  8. EXPECTED74 words · 1 min
  9. CONCLUSION: THE104 words · 1 min

Read from the paper itself: 30 sections, 1,859 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.

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