Mathematically Proving the “Correctness” of Computation — Introducing the ADIC Theory and Live Demo

Hello, this is Manny from the GhostDrift Mathematical Institute.

As part of our ongoing effort to uncover the underlying mechanism of the “Ghost Drift” phenomenon, we have been developing a new foundational computation engine.Today, we are releasing two major resources: the theoretical background of ADIC (Analytically Derived Interval Computation) and a fully interactive browser-based demo.

Modern computers are incredibly fast, yet they cannot mathematically guarantee that their numerical outputs are strictly correct.ADIC applies the principles of constructive analysis to create a system where every step of computation is executed together with a proof that no error has occurred. In other words, computation and verification happen simultaneously.

This release includes the following two resources:

1. Theory: The Existence Theorem for Constructive-Analysis-Based Verification

https://ghostdrifttheory.github.io/adic-core-JP/ This article explains the mathematical foundations of ADIC—how verification “ledgers” (certificates of correctness) are generated, and how the system grounds infinite analytic precision within a finite, verifiable framework.It serves as one of the theoretical pillars of the broader GhostDrift program.

2. Practice: ADIC Technical Demo & Verification Ledger

https://ghostdrifttheory.github.io/ghostdrift-adic-demo-JP/ This interactive demo allows you to experience what “verified computation” looks like.You can switch between a normal calculator mode and ADIC’s verification mode.A special “chaos injection” feature also lets you deliberately introduce calculation bugs—showing how a traditional calculator silently absorbs these errors, while ADIC detects and rejects them in real time.

Fields such as energy control and financial modeling demand extreme reliability.We believe that mathematically guaranteed computation will become essential in these domains.

This marks a new frontier of GhostDrift theory—beyond the usual boundaries of humanities and sciences.We hope you enjoy exploring it.