The Theory of Intrinsic Time: A Primer

TL;DR

This paper explores the paradigm of intrinsic, event-based time in finance and economics, revealing new structures, scaling laws, and observer-dependent dynamics that challenge traditional continuous time analysis.

Contribution

It introduces the concept of intrinsic time as an alternative to continuous measures, highlighting its historical development, modern applications, and implications for complex systems and financial markets.

Findings

Reveals new structures and regularities in data

Identifies multiple scaling laws in complex systems

Shows time is observer-dependent and shaped by intrinsic activity

Abstract

The concept of time mostly plays a subordinate role in finance and economics. The assumption is that time flows continuously and that time series data should be analyzed at regular, equidistant intervals. Nonetheless, already nearly 60 years ago, the concept of an event-based measure of time was first introduced. This paper expands on this theme by discussing the paradigm of intrinsic time, its origins, history, and modern applications. Departing from traditional, continuous measures of time, intrinsic time proposes an event-based, algorithmic framework that captures the dynamic and fluctuating nature of real-world phenomena more accurately. Unsuspected implications arise in general for complex systems and specifically for financial markets. For instance, novel structures and regularities are revealed, otherwise obscured by any analysis utilizing equidistant time intervals. Of particular interest is the emergence of a multiplicity of scaling laws, a hallmark signature of an underlying organizational principle in complex systems. Moreover, a central insight from this novel paradigm is the realization that universal time does not exist; instead, time is observer-dependent, shaped by the intrinsic activity unfolding within complex systems. This research opens up new avenues for economic modeling and forecasting, paving the way for a deeper understanding of the invisible forces that guide the evolution and emergence of market dynamics and financial systems. An exciting and rich landscape of possibilities emerges within the paradigm of intrinsic time.