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afflom / PrimeOS-paper.md
Created March 18, 2025 15:00
PrimeOS Whitepaper

PrimeOS: A Neural Network-Based Operating System

Abstract

PrimeOS represents a new approach to operating system design. Instead of seeing computation as a sequence of instructions, it treats it as a neural process governed by mathematical principles of coherence.

Traditional operating systems are built from the hardware up, focusing on managing physical resources and executing programs. PrimeOS takes a fundamentally different approach with a novel four-tier architecture built on a neural foundation. This enables the system to continuously adapt and optimize itself while maintaining mathematical consistency.

This whitepaper introduces PrimeOS's core concepts in an accessible way. We'll explore its mathematical foundations, architectural principles, and practical implementations. You'll learn how this approach creates a system that adapts to user needs, optimizes resources intelligently, and maintains security through mathematical properties rather than explicit permissions.

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afflom / output.txt
Last active March 16, 2025 22:29
PrimeOS Library test results
PrimeOS Library Tests
Tests started. See results below:
Running tests...
Suite: Clifford Algebra
- [PASS] should create scalar elements correctly
- [PASS] should create vector elements correctly
- [PASS] should convert vector to array correctly
- [PASS] should add multivectors correctly
- [PASS] should compute the geometric product correctly
@afflom
afflom / coherence-gradient-descent.py
Last active March 13, 2025 02:11
Spectral Prime Decomposition extracts factorization information from eigenspaces rather than periodicity, enabling quantum-resistant cryptography.
#!/usr/bin/env python3
"""
Coherence-Gradient Descent Algorithms - A Prime Framework Reference Implementation
This implementation combines multiple advanced techniques from the Prime Framework:
1. Spectral analysis from the Prime Operator's eigenstructure
2. Fiber algebra for multi-perspective pattern detection
3. Multi-base representation for constraint encoding
4. UOR framework concepts for navigating solution spaces efficiently
@afflom
afflom / kernel-spec.md
Created March 8, 2025 17:18
Evolutionary Ontology API

Prime Kernel Evolutionary Ontology Specification

Version: 1.0.0
Status: Reference Implementation
Author: The UOR Foundation
Date: March 2025

1. Foundational Principles

The Prime Kernel is the foundational Evolutionary Ontology that implements the four axioms of the Prime Framework, providing core infrastructure for all other ontologies to build upon. It serves as both a runtime environment and a meta-ontology that enables the coherent evolution of knowledge structures.

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afflom / iot-prs.md
Created March 4, 2025 17:46
Prime Framework OCI Extensions

OCI Package Resolution System for Internet of Things (IoT-PRS)

1. Abstract

This document defines the OCI Package Resolution System for Internet of Things (IoT-PRS), an extension of the OCI artifact model that transforms registries into a stateful message bus for IoT operations and management. By employing a canonical encoding approach to represent artifacts in a consistent, immutable format, IoT-PRS enables reliable content resolution, schema discovery, and decentralized state mutation. This specification outlines how IoT devices download system images, subscribe to state changes, and perform logic operations based on declarative state mutations—all through existing OCI distribution mechanisms.

2. Introduction

The IoT-PRS specification provides detailed guidance for implementors who wish to build an end-to-end, cloud native IoT management solution using OCI registries as stateful message buses. In this model, every artifact—whether it is a system image, device configuration, or sensor data record—

@afflom
afflom / spec.md
Created March 4, 2025 16:30
Prime Framework Quantum Emulator - JavaScript with WebGL Acceleration

Prime Framework Implementation Specification

Pure JavaScript Implementation of the Prime Framework Quantum Emulator

1. Core Architecture

The implementation will adhere strictly to the four fundamental Prime Framework axioms:

1.1 Reference Manifold

  • Implement a smooth manifold M with metric tensor g

Prime Model with Periodic Table

Abstract

This document presents a comprehensive mapping from the Prime Axioms to the emergence of atomic, molecular, and higher‐order structures. In the Prime Framework, natural numbers are intrinsically embedded in local fiber algebras, leading to the definition of intrinsic primes and their unique factorization. These fundamental constructs give rise to a quantum periodic table—a structured “table of quanta” that not only reproduces the elements of the Standard Model but also extends it with new emergent phenomena. While insights from quantum biology (e.g. coherence and self‐organization) inspire this approach, they serve solely as an inspirational framing rather than a formal component of the model.

1. Introduction

The Prime Framework unifies geometry, algebra, and symmetry to construct physical reality from first principles. Starting with a smooth reference manifold and local algebraic fibers (typically Clifford algebras), the framework defines numbers through an

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afflom / 1-axioms.v
Last active March 27, 2025 19:44
Introducing the "Prime Framework"—a self-contained formal approach to analytic number theory in Coq, featuring PDF proofs and accompanying Coq developments that rederive classical results such as the Prime Number Theorem
(**************************************************************************
* 1-axioms.v
*
* A Coq formalization of the axiomatic foundation presented in
* "Axiomatic Foundation of the Prime Framework" (1-axioms.pdf).
*
* This file sets up the basic axioms: a smooth reference manifold with an
* associated fiber algebra equipped with a G-invariant inner product. It then
* proves that every abstract object (e.g. a natural number) has a unique
* canonical embedding (i.e. a unique minimal‐norm representation), up to the
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afflom / results.txt
Last active February 19, 2025 16:38
Universal Object Reference - Data Science
$ /home/codespace/.python/current/bin/python /workspaces/codespaces-jupyter/uor_titanic_survival.py
e_Age * e_Fare = {(1, 2): 1.0}
e_Fare * e_Age = {(1, 2): -1.0}
Coherence norm (should be 0): 0.0
Original Age coeff: 25.0 Fare coeff: 7.25
Rotated Age coeff: 17.67766952966369 Fare coeff: 5.1265241636024665
Coherence norm after rotation: 0.17157287525381
Feature matrix:
b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14
0 22.0 7.25 1 0 3.0 1.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0
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afflom / afero_oci_mod.go
Last active July 26, 2024 18:48
ORAS and afero in WASM
//go:build js && wasm
// +build js,wasm
package main
import (
"context"
"io"
"strings"
"syscall/js"