Extreme Physical Information as a Principle of Universal Stability

Frieden, B. Roy

doi:10.1007/978-0-387-84816-7_15

Cited by 2 publications

(4 citation statements)

References 16 publications

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“…This occurs when information is acquired from a parametric context efficaciously through behavioural intelligence, which it then codifies. The theory that underpins intrinsic information derives from Frieden [125]. Its principle is that quantitative observations are made that constitute samples from a set of relational parameters.…”

Section: Structural Intrinsic Informationmentioning

confidence: 99%

Consciousness, Sapience and Sentience—A Metacybernetic View

Yolles

2022

Systems

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Living systems are complex dynamic information processing energy consuming entities with properties of consciousness, intelligence, sapience, and sentience. Sapience and sentience are autonomous attributes of consciousness. While sapience has been well studied over the years, that of sentience is relatively rare. The nature of sapience and sentience will be considered, and a metacybernetic framework using structural information will be adopted to explore the metaphysics of consciousness. Metacybernetics delivers a cyberintrinsic model that is cybernetic in nature, but also uses the theory of structural information arising from Frieden’s work with Fisher information. This will be used to model sapience and sentience and their relationship. Since living systems are energy-consuming entities, it is also natural for thermodynamic metaphysical models to arise, and most of the theoretical studies of sentience have been set within a thermodynamic framework. Hence, a thermodynamic approach will also be introduced and connected to cyberintrinsic theory. In metaphysical contexts, thermodynamics uses free-energy, which plays the same role in cyberintrinsic modelling as intrinsic structural information. Since living systems exist at the dynamical interface of information and thermodynamics, the overall purpose of this paper is to explore sentience from the alternative cyberintrinsic perspective of metacybernetics.

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Section: Structural Intrinsic Informationmentioning

confidence: 99%

Consciousness, Sapience and Sentience—A Metacybernetic View

Yolles

2022

Systems

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“…We choose to estimate u(z) by use of a principle of Extreme physical information or EPI [4], [5], [13],[14],[15], [16], [17], [18], [19]. This is a variational principle I J extremum through variation of the amplitude u(z).…”

Section: Epi Approachmentioning

confidence: 99%

“…Then with our I maximal, the mean-squared error e 2 tends to be minimal, re ‡ecting a high level of accuracy in both the ML estimate of a and (by implication) the amplitude u(z) forming the estimate. In general, EPI derives out of a premise that nature is stable, and tends to convey information in a maximally coherent manner [19].…”

Section: Epi Approachmentioning

confidence: 99%

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de Broglie’s wave hypothesis from Fisher information

Frieden

Soffer

2009

Physica A: Statistical Mechanics and its Applications

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Seeking the unknown dynamics obeyed by a particle gives rise to the de Broglie wave representation, without the need for physical assumptions speci…c to quantum mechanics. The only required physical assumption is conservation of momentum. The particle, of mass m; moves through free space from an unknown source-plane position a to an unknown coordinate x in an aperture plane of unknown probability density p X (x), and then to an output plane of observed position y = a + z. There is no prior knowledge of the probability laws p(a; M); p(a) or p(M); with M the particle momentum at the source. It is desired to (i) optimally estimate a; in the sense of a maximum likelihood (ML) estimate. The estimate is further optimized, by minimizing its error through (ii) maximizing the Fisher information about a that is received at y. Forming the ML estimate requires (iii) estimation of the likelihood law p Z (z); which (iv) must obey positivity. The relation p Z (z) ju(z)j 2 0 satis…es this. The same u(z) conveniently de…nes the Fisher channel capacity, a concept central to the principle of Extreme physical information (EPI). Its output u(z) achieves aims (i)-(iv). The output is parametrized by a free parameter K. For a choice K = 0; the result is u(z) = (z), indicating classical motion. Or, for a …nite, empirical choice K =(Planck's constant), u(z) obeys the familiar de Broglie representation as the Fourier transform of the particle's probability amplitude function P () on momentum : For a de…nite momentum ; u(z) becomes a sinusoid of wavelength = h= ; the de Broglie result.

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Extreme Physical Information as a Principle of Universal Stability

Cited by 2 publications

References 16 publications

Consciousness, Sapience and Sentience—A Metacybernetic View

Consciousness, Sapience and Sentience—A Metacybernetic View

de Broglie’s wave hypothesis from Fisher information

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