Unified Theory of Non-Archimedean Ontology

In the paper's words

URL: https://papers.qnfo.org/papers/unified-theory-of-non-archimedean-ontology/ Date: 2026-03-15 Version: 1.0 The foundational premise of this framework is that the universe is constructed not from matter or energy, but from pure information. In this view, physical objects and phenomena are emergent properties that arise from underlying data structures and their processing. While classical physics regards mass and energy as fundamental, that perspective is considered incomplete here.

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

Numbers it reports

1. A weather forecast predicting a 50% chance of rain does not split the sky into two atmospheres; similarly, an equation predicting two possible quantum states does not cleave spacetime into duplicate realities.

   from 4.1 MWI Overview

How it is done

1. An interaction, such as a photon striking an electron, is modeled as an algorithm updating the local state of the universal computer.

   from 1.2 The Energy Layer

2. Space separates the outputs of the cosmic computer but cannot divide the unified algorithm generating them.

   from 1.4 The Role of Space

3. We are bound by the same deterministic rules that govern stars and atoms.

   from 1.5 The Observer’s Limits

4. Epistemology, in contrast, represents the limits of human knowledge and the methods we use to acquire it.

   from 1.6 Epistemology Vs Ontology

What would falsify it

1. It was the seed from which the complexity of the observable universe algorithmically unfolded.

   from 2.3 The Big Bang Root

2. We need to write numerical algorithms for p-adic arithmetic, discretize the infinite hierarchical trees for supercomputers, and run simulations to verify that these operators correctly predict the outcomes of quantum experiments.

   from 2.4 Fractional Derivatives

3. We must understand how they connect to the macroscopic world, translating their p-adic topology into observable predictions.

   from 3.2 Extra Dimensions

Where the claim stops

1. The common assumption of a smooth spatial continuum breaks down at the smallest scales, suggesting that space itself may be an emergent, holographic property of a lower-dimensional information boundary.

   from 1.1 The Base of Reality

2. Our epistemological models, based on Archimedean mathematics, are approximations that fail at the boundaries of our knowledge, such as at singularities.

   from 1.1 The Base of Reality

3. These Archimedean tools assume a smooth continuity that does not exist at the fundamental level of reality, which is modeled as discrete.

   from 1.2 The Energy Layer

Where to read

1. Chapter 1: Informational3,865 words · 17 min
2. Chapter 2: P-Adic Time3,951 words · 17 min
3. Chapter 3: String3,942 words · 17 min
4. Chapter 4:4,264 words · 19 min
5. Chapter4,005 words · 17 min
6. Chapter 6: The3,472 words · 15 min
7. Chapter 7: Unified3,792 words · 16 min