In What is Life?, Schrödinger introduced negative entropy — the living entity’s trick of maintaining itself at a low entropy level, in a higher state of orderliness than its surroundings. This paper takes the idea to its simplest possible form: treat order (O) and disorder (D) as two discrete informational states that complement each other, and ask what a system built on them can do.
The answer is a Markov chain. With two states there are four elementary possibilities — O→O, O→D, D→O, D→D — and a system that manages the probabilities of those transitions can hold entropy down indefinitely: a perpetual-motion machine for order, reconciling the quantum and Newtonian pictures along the way. The [3N] framing — Normal, Non-Normal, Non-Linear — is what that machine looks like from outside.
The mechanics
| Transition | In the model | Market analogue |
|---|---|---|
| O → O | Structure maintains itself | Persistence — a trend that continues |
| O → D | Structure decays | Breakdown — a regime losing coherence |
| D → O | Order extracted from disorder | Reversion — a new regime forming |
| D → D | Noise persists | Choppy, directionless stretches |
The generalisation matters more than the biology. Any complex system — an organism, an economy, a stock-market universe — can be described by where its components sit in this chain and how likely they are to move. The information that matters is not a price level or a size; it is a transition probability.
One chain, many systems
Watch occupancy, not events. At any moment some share of a system’s components sits in ordered states and some in disordered ones — and that share oscillates. No regime is permanent; the oscillation itself is the only constant. Markets read this way stop being a story of eras and become a breathing pattern.
The universality claim is what makes the model useful rather than poetic: the same transition grammar shows up across natural systems. For portfolios it licenses one model across assets, sectors and geographies — the parameters differ, the chain does not. That is why the 3N engine does not need a new theory per market.
What it means for portfolios
This is the theoretical root of the 3N™ engine. The five-state network on the Methodology page is this paper’s chain applied to securities: every constituent carries live odds of persisting, reverting, or transforming, and the benchmark is rebuilt from those odds. When AlphaBlock says a benchmark should carry information, this is the information meant — and cap-weighting is what throwing it away looks like.
- Order and disorder can be treated as informational states in a Markov chain with four elementary transitions.
- Systems that manage transition probabilities extract order from disorder — Schrödinger’s negative entropy, made mechanical.
- The 3N™ five-state engine is this chain applied to securities: transition odds as the benchmark’s raw material.
Pal, M. (2021). 3N Model of Life. SSRN 3830047.
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