The Dot Theory

Dot Theory

Natural Philosophy, mathematical physics, and representational structure
First publication: September 2024
Stefaan Vossen

Welcome, and thank you for reading this website.

Please allow me to open with a short poem.

Life is all about finding out that:

  • life is real

  • life is a game

  • that game has rules

  • reality is the record of it

  • you cannot not play a game in it

  • you cannot not play a game and not finish it

  • the game you play is the one you most understand

  • you are living less, the less playfully you play your game

What this site is

Dot Theory is presented here as a research programme in Natural Philosophy with a specific technical aim:

To study whether certain physical and computational formalisms are representationally incomplete with respect to contextual and observer-conditioned information, and if so, to propose an extension that is mathematically coherent, reduces to standard theory in appropriate limits, and yields discriminable predictions.

This is not an interdisciplinary manifesto. It is a programme that intends to be judged by formal definition, derivation, and falsifiability.

The writing on this site is occasionally personal in tone because I think motivation matters. The mathematics, however, has to stand without rhetoric.

The core claim in one paragraph:

Physical theories map observations into state representations and then evolve those states to generate predictions. Dot Theory asks whether some classes of contextual variables that affect modelling and measurement are being treated implicitly, or discarded entirely, in standard representations. If such variables can be formalised as auxiliary structure, then an extended state representation may be warranted.

The programme requirement is strict: any extension must be consistent, must preserve required symmetries unless explicitly justified, must recover the standard formalism as a limiting case, and must generate at least one clear empirical discriminator.

What Dot Theory does not claim:

To keep the site accountable, it is important to state boundaries upfront.

Dot Theory does not, on its own, claim to:

  • replace Quantum Mechanics or General Relativity

  • “solve” unification by assertion

  • derive consciousness from physics, or physics from consciousness

  • establish a universal ethic

  • offer conclusions without derivations

You will find conjectures and programme proposals here. Where something is conjectural, it is labelled as such. Where something is formal, it is presented with definitions, assumptions, and conditions.

Where to start

If you want the programme-level overview first:

  • Project Overview: what is being claimed, what is not, and what would count as success or failure.

If you want the constitutional and institutional extension:

If you want the human motivation, with disciplined scope:

  • Happiness: how representation, feedback, and agency relate to wellbeing under partial observability, without metaphysical inflation.

If you want technical material:

  • Logic and the technical pages: definitions, formal structure, and the programme’s research direction.

Blog posts remain as working notes and drafts. They exemplary of the core programme pages.

A minimal formal orientation

When the site uses notation, it is used in the following restrained sense.

Let ℋ denote a conventional state space and let ψ ∈ ℋ be a standard state. Dot Theory considers whether an extended representation Ψ = (ψ, μ) ∈ ℋ × ℳ is warranted for some formally defined metadata space ℳ.

This is a representational proposal. The validity of any specific ℳ and any specific dynamics on ℋ × ℳ is to be shown, not assumed.

Closing

I built this site to invite serious critique. If the framework is useful, it will be because it improves modelling under stated assumptions and survives confrontation with data. If it fails, it should fail clearly.

Either way, the work is better for being tested.

Thank you for reading.

Stefaan

We are here to experience the world we create