Addiction Science — Lucian Randolph

The Craving-to-Dose
Interval.

The measurement addiction science forgot.

For thirty years, cessation research measured what people felt and what they took. It never measured the gap between the two. That gap is where the physiology lives — and it turns out to be the only variable that matters.

The Craving-to-Dose Interval (CDI) is the elapsed time between the body's craving signal and the administration of a substance. Extend that interval — even by sixty seconds — and you create a measurable disruption in the reward cascade. Do it consistently, and the cascade begins to restructure.

This is not a theory. It is a measurement.

30 Years of Prior Research
1 Missing Variable
60s Minimum Effective Window
3 Addiction Domains

The Framework

What the CDI measures

Every addictive behavior follows the same sequence: a physiological deficit signal (the craving), a behavioral response (seeking the substance), and an administration event (the dose). Cessation research has studied cravings exhaustively. It has studied dose amounts, dose frequency, and dose timing. It has never studied the interval between signal and response.

That interval — the CDI — turns out to be the most information-dense moment in the entire addiction cycle. The body is in maximum deficit. The reward cascade is primed. The distance between craving and dose is the only window where voluntary intervention can intercept the cycle without suppressing the physiological need.

The key insight: you cannot will away a craving. The nicotinic deficit is real. The opioid deficit is real. What you can modify is the timing of the response — and the body's own cascade mathematics respond to that modification in ways that compound over time.

The CDI Principle

CDI = t(dose) − t(craving signal)

A single 60-second extension of the natural CDI creates measurable disruption in the reward cascade. Repeated across sessions, CDI extension produces a trajectory of increasing interval tolerance — the physiological signature of restructuring rather than suppression.

The mathematical foundation for this mechanism is formalized in Paper 63 of the Randolph research program, drawing on Self-Determination Theory and the endogenous nicotinamide factory model. The bifurcation point — the threshold at which the reward cascade can no longer maintain its original periodicity — is not at the dose point. It is inside the interval itself, near the deficit maximum.

This is why thirty years of NRT (Nicotine Replacement Therapy) produced a 25% long-term success rate and never improved. NRT bypasses the deficit signal. It never engages the CDI at all. The cascade adapts around the bypass and resumes unchanged. The variable it needed to modify was the one it never measured.

Applications

CDI across addiction domains

The CDI framework is substrate-independent. The craving-to-dose interval structure exists in nicotine addiction, opioid dependency, alcohol use disorder, and behavioral addictions including gambling. The mechanism differs at the receptor level; the cascade mathematics are the same.

Live — Book & App

Nicotine

The first full CDI application. A 60-second protocol, an iOS app that records all five timestamps per session, and a clinical monograph framework now published as a book.

justaminuteapp.com →
Active Research

Opioids

CDI maps directly onto opioid craving intervals. The Opioid Response Network (ORN) consultation is active. Protocol design for opioid CDI extension is in development.

In Development
Research Phase

Alcohol

Alcohol use disorder has a measurable CDI analog. The craving-to-drink interval is identifiable and extensible using the same cascade disruption methodology.

In Development
Monograph

Behavioral

Gambling, compulsive spending, and digital behavior disorders share CDI structure with substance addictions. Covered in the forthcoming comprehensive monograph.

Coming — The Monograph

The Library

Published work & resources

The CDI research program spans peer-reviewed papers, a clinical book, a data-collecting mobile application, and a comprehensive monograph covering all addiction domains. Each item is independently accessible.

Peer-Reviewed Paper — 2026 Paper 63 — CDI and the Endogenous Reward Cascade

The formal mathematical treatment of the Craving-to-Dose Interval, grounding the mechanism in Self-Determination Theory and bifurcation mathematics. Establishes the CDI as a measurable, modifiable variable with clinical implications across all substance use disorders.

Book — Available Now Just a Minute

The first consumer application of the CDI framework, focused on nicotine cessation. Written for the person who has tried everything and wants to understand why nothing else worked — and why this is different. Ebook and print available on Amazon.

iOS Application — Available Now Just a Minute App

The clinical data layer for the nicotine CDI protocol. Records all five timestamps per craving session — craving onset, timer start, dose point, dose completion, session close. Anonymous, privacy-first. Baseline phase establishes individual CDI before protocol begins. The first tool built around measuring what cessation research missed.

Monograph — In Preparation CDI Across All Addictions — A Comprehensive Framework

A 10,000-word scientific monograph applying the CDI framework to the full spectrum of addiction — nicotine, opioids, alcohol, and behavioral disorders. The unifying argument: every addiction domain has a craving-to-dose interval, and every one responds to the same cascade disruption mathematics. The substrate changes; the variable does not.

In Preparation

The Researcher

Lucian Randolph

Lucian Randolph is a scientist, systems theorist, and counterintelligence veteran whose thirty-year career inside classified research facilities gave him an unusual vantage point: the gap between what is officially known and what is actually true.

The CDI framework emerged from the same mathematical tools he applied to nonlinear dynamical systems in physics — bifurcation theory, cascade modeling, and the study of what happens at transition points. The biology of addiction turns out to be governed by the same deep structure.

Opioid Response Network (ORN) — Consultant, addiction science
Paper 63 — CDI and the Endogenous Reward Cascade, 2026
Just a Minute — Published cessation book, Amazon, 2026
Systems theorist — 73 published papers in physics and nonlinear mathematics
MOS 97B — Counterintelligence Agent; Pentagon threat modeling forecaster

Research & Clinical Partnerships

Work with the framework

The CDI framework is available for clinical research partnerships, institutional licensing, and protocol development across addiction domains. If you are a researcher, clinician, or institution working in substance use or behavioral addiction, and you want to incorporate CDI measurement into your work — this is the right conversation to start.

Get in touch

For research partnerships, clinical consultations, and speaking inquiries related to CDI and addiction science.

lucian@lucian.us
Speaking — lucian.us Just a Minute App