Blog

Insights, updates, and articles from the Homgram team

4 min read

Discovering Information's Intrinsic Mathematical Structure

What if the chaos of modern computing—endless schemas, brittle indexes, complex protocols—stems not from necessity, but from fighting against information's natural order?

theoryfoundationsmathematics
By Homgram LLC
4 min read

The Two-Torus: A Universal Address Space

How 12,288 coordinates organized as a 48×256 matrix create a complete global namespace—and why traditional distributed systems have been solving the wrong problem.

architecturemathematicsdistributed-systems
By Homgram LLC
5 min read

Conservation Laws: Making Failures Mathematically Impossible

Physics has conservation of energy. What if computing had similar invariants—mathematical constraints that make certain failures not just unlikely, but structurally impossible?

theorysecurityreliability
By Homgram LLC
5 min read

Proof-Carrying Computation: Trust Through Mathematics

What if every operation generated a mathematical certificate proving its correctness? Not logging what happened, but proving it was valid—with the proof being independently verifiable by anyone.

securityverificationtheory
By Homgram LLC
1 min read

Welcome to the Homgram Blog

Introducing our new blog where we'll share insights, updates, and articles about our journey building decentralized infrastructure.

announcementcommunity
By Homgram LLC Team
5 min read

What Homgram Means for Developers

When information has intrinsic structure, entire categories of infrastructure disappear. Here's what changes for the people building software.

developmentarchitecturepractical
By Homgram LLC
2 min read

Building a Decentralized Future

Exploring the principles and practices that guide our approach to building decentralized infrastructure at Homgram LLC.

decentralizationtechnologyphilosophy
By Homgram LLC Team
2 min read

Getting Started with UOR

A comprehensive guide to getting started with UOR Framework and understanding its core concepts.

tutorialgetting-starteddocumentation
By Homgram LLC Team