ULTRAMETRIC PHYSICS

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 EXECUTIVE

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

   from FOUNDATIONAL

Where to read

1. RESEARCH PLAN16 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