- #1

Fra

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- TL;DR Summary
- self-organising system that looks as if it is modelling its embedding environment

Looking for something else I just stumbled over this paper the declare as introducing a field they call "bayesian mechanics".

I thought I would create a new thread for a change and just highlight this paper. It's the first time I've seen this from the authors so I don't have their full perspective yet, but I share many of hte overall ideas but see one issue of jumping right into continuum models, which i fear will cause problems later. Parts of the paper also made me think of Demystifiers solipsist HV.

-- https://arxiv.org/abs/2205.11543, there are several authors of the paper

/Fredrik

I thought I would create a new thread for a change and just highlight this paper. It's the first time I've seen this from the authors so I don't have their full perspective yet, but I share many of hte overall ideas but see one issue of jumping right into continuum models, which i fear will cause problems later. Parts of the paper also made me think of Demystifiers solipsist HV.

**On Bayesian Mechanics: A Physics of and by Beliefs***"The aim of this paper is to introduce a field of study that has emerged over the last decade called Bayesian mechanics. Bayesian mechanics is a probabilistic mechanics, comprising tools that enable us to model systems endowed with a particular partition (i.e., into particles),*

...

Bayesian mechanics is premised on the conjugation of the dynamics of the beliefs of a system (i.e.,**where the internal states (or the trajectories of internal states) of a particular system encode the parameters of beliefs about external states**(or their trajectories). These tools allow us to write down mechanical theories for systems that look as if they are estimating posterior probability distributions over the causes of their sensory states. This provides a formal language for modelling the constraints, forces, potentials, and other quantities determining the dynamics of such systems, especially as they entail dynamics on a space of beliefs (i.e., on a statistical manifold)...

Bayesian mechanics is premised on the conjugation of the dynamics of the beliefs of a system (i.e.,

**their time evolution in a space of beliefs**) and the physical dynamics of the system encoding those beliefs (i.e., their time evolution in a space of possible states of trajectories) [6, 2]; the resulting mathematical structure is known as a \conjugate information geometry" in [1], where one should note that \conjugate" is a synonym for \adjoint" or \dual"). Using the tools of Bayesian mechanics, we can form mechanical theories for a**self-organising system that looks as if it is modelling its embedding environment.**Thus, Bayesian mechanics describes the image of a physical system as a flow in a conjugate space of probabilistic beliefs held by the system, and describes the systematic relationships between both perspectives."-- https://arxiv.org/abs/2205.11543, there are several authors of the paper

/Fredrik