Ultrametric Physics Research Plan

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. 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 PARADIGM

2. 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 MATHEMATICS (Modules 1-4)

3. 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)

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: How does a(t) emerge from branching with scaling ratio q?

   from QUANTUM GRAVITY AND COSMOLOGY (Modules 8-10)

5. 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)

6. 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

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 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

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 EXECUTIVE SUMMARY: THE RATIO-CENTRIC PARADIGM

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

   from FOUNDATIONAL MATHEMATICS (Modules 1-4)

Where to read

1. EXECUTIVE SUMMARY: THE RATIO-CENTRIC PARADIGM111 words · 1 min
2. RESEARCH CONSTRAINTS AND METHODOLOGY99 words · 1 min
3. RESEARCH MODULES (12 MODULES)1,080 words · 5 min
4. EXECUTION TIMELINE AND MILESTONES55 words · 1 min
5. QUALITY METRICS AND SUCCESS CRITERIA71 words · 1 min
6. RISK MITIGATION STRATEGIES67 words · 1 min
7. EXPECTED CONTRIBUTIONS AND IMPACT68 words · 1 min
8. CONCLUSION: THE RATIO-CENTRIC PARADIGM102 words · 1 min