An observer’s information dynamics: Acquisition of information and the origin of the cognitive dynamics

Lerner, Vladimir S.

doi:10.1016/j.ins.2011.08.003

Cited by 7 publications

(15 citation statements)

References 64 publications

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“…The EF imaginary entropy, measured by logarithmic conditional probability of the observing random process, is distinct from Boltzmann physical entropy satisfying Second Thermodynamic Law. The EF-IPF transformations provide the Information Path from Randomness and Uncertainty to Information, Thermodynamics, and Intelligence of Observer [44,45]. This includes a virtual observer, acting with imaginary control and integrating imaginary entropy increments in EF, which is mathematically established in Secs.2.2.5-2.6 and numerically verified in Ses.2.2.8a, b.…”

Section: Time Course On Kmentioning

confidence: 94%

The Impulse Interactive Cuts of Entropy Functional Measure on Trajectories of Markov Diffusion Process, Integrating in Information Path Functional, Encoding and Applications

Lerner

2017

BJMCS

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Integrating discrete information, composed of information Bits extracted from observing random process, solves the impulse cutting off entropy functional (EF) measure on trajectories Markov diffusion process whose information integrates path functional (IPF). Each cut brings memory of the entropy being cut, which provides both reduction of the process entropy and discrete unit of the cutting entropy -a Bit. Consequently, information is memorized entropy cutting in random observations which process interactions. The origin of information associates with an "anatomy of creation of impulse" enables both cut and stipulate random process while generating information under the cut. Memory stands as the impulse' cut time interval. Defining the EF via the process additive functional with functions drift and diffusion allows reducing this functional on trajectories to a regular integral functional. Compared to conventional Shannon entropy measure of a random state, cutting the process on separated states decreases quantity of process information by the amount, concealed in correlation connections between these states, which hold hidden process information. The EF-IPF measure integrates information covered in both continuous process and discrete impulses which generate information and transmit it between the impulses.The n -dimensional process cutoff generates a finite information measure, integrated in the IPF whose information approaches the EF measure at n → ∞ , restricting maximal information of the Markov diffusion process. Studied impulse delta-function cutoff and the discrete impulse deliver equivalent information at each cutoff. The constructed finite restriction limits the impulses' discrete stepwise actions applied for cutting the regular integral on the functional increments between the cutoffs. Finite impulse step-up action transfers EF increment to following impulse whose step-down action cuts off information and step-up action starts imaginary (virtual) impulse carrying entropy increment to next real cut.Step-down cut generates maximal information while the step-up action delivers minimal information from impulse cut to next impulse step-down action. A virtual impulse transfers conjugated entropy increments during a microprocess ending with adjoining increment within actual step-down action at cutoff. Extracting maximum of minimal impulse information and transferring minimal entropy between impulses implement maxmin-minimax principle of converting process entropy to information. Each cutoff sequentially and automatically converts entropy to information, holding information Bit from random process, which connects the Bits sequences in the IPF and predicts next cut. The built information macroprocess, as the EF minimax extremal, integrates both imaginary entropy of microprocess and cutoff information of real impulses in IPF information physical process. Each IPF dimensional cut measures Feller kernel information. Cutting entropy memorizes the cutting time interval which freezes the probability of events with re...

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Section: Time Course On Kmentioning

confidence: 94%

The Impulse Interactive Cuts of Entropy Functional Measure on Trajectories of Markov Diffusion Process, Integrating in Information Path Functional, Encoding and Applications

Lerner

2017

BJMCS

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“…Ratio of the impulse density Nat/Bit=1.44 to its average curvature 2 e K is equivalent to a relative information density mass: If we assume that this primary natural energy brings the eV amount equivalent to quanta of light -9 1240eVnm, 1nm=10 q em  , then we come to 5 3 9 / 1 588. 19 The impulse cutting action of the growing density curves an emerging ½ time units of the impulse time" interval measure |1| M while a following rotating curved time-jump initiates a displacement within the impulse opposite rotating Yes-No actions [4].…”

Section: The Time Intervals Of the Curved Interactionmentioning

confidence: 99%

“…Mathematical expectation of random probabilities and entropies in (4) Being averaged by the source events, through a probability of multiple random variables-states, or by the source processes (through probabilities in (1)depending on what is considered a process, or an 15 event), both (5) and (1) include Shannon"s formula for relative entropy-information of the states (events).…”

Section: B Computer Simulationsmentioning

confidence: 99%

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Natural encoding of information through interacting impulses

Lerner

2016

2016 Future Technologies Conference (FTC)

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Natural encoding is interactive process between a source of a natural energy and its receptor where the energy erases entropy of the interacting process i mpulse s e ncoding the process i mpulses in information bits.Standard unit of information Bit generates natural process through discrete (yes-no) interactions, including interactive macro impulses in classical physics and elementary micro impulses in quantum interactions.Multiple interactions generate random process of interacting impulses with step-down and step-up actions.The elementary interactions of the random step-up and stepdown actions measures (yes-no) probability events according to Kolmogorov 1-0 law.In a natural interactive process, each impulse step-down action cuts the process correlation of prior interactive events. That cuts the process entropy, defined by its probability.The cutting entropy, at maximal probability, by cost of cutting energy memorizes information hidden in the correlation. Memory "freezes" the information impulse as Bit.The interactive impulse reveals information as phenomenon of interaction.Each interval of interaction, holding needed quantity and quality of energy, naturally extracts its Bit and encodes information in the interacting physical state (by the impulse step-up action) carrying the energy cost. .The interacting actions curve impulse whose curvature creates asymmetry and allows encoding logical qubits in memorized bit. The asymmetry lowers cost of energy needed for memorizing bit.The impulse sequential natural encoding merges memory with the time of memorizing information and compensates the cutting cost by running time intervals of encoding in information process.The information process, preserving the invariant impulse cutting information, binds the impulse' inner reversible microprocesses in the multiple impulses of the macroprocess' information irreversible dynamics.The encoding process describes information path functional integrating the receptor geometrical cellular information structure in a rotating code helix that composes the sequencing cells bits. This natural encoding satisfies Landauer principle and compensates for the cost of Maxwell Demon.The quantity and quality energy of specific interaction necessary for natural encoding limits the universal code length and density.The applied entropy and information path integrals measure the natural interacting process on its micro and macro trajectories.The applied Jarzynski equation describes stochastic thermodynamics within the impulse microprocess (quantum) and connects this equation with information measure in the encoding.The thermodynamics of curved impulses on the rotating microprocess trajectories describe forming physical micro units encoding qubits, bits.The increasing correlation connections of interacting events speeds their time course, while decreasing correlation slowing their time course. The time correlated entangled states stay coupled forever.The relative moving information receptor possesses both relative encoding and attractive curved gravit...

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“…The step-up start is associated with acting the observer inner controls with the conjugated components: Hence, all parameters of the observer process are defined via the cutoff diffusion operator, and the observer covariant dynamics, emerge from the cutting fractions of Markov diffusion. The time-space movement illustrates Fig.1, with all analytical details in [10][11][12][13][14]. Conjugated processes (3.4a,b), starting within an impulse, head toward their entanglement, which minimizes the initially cut uncertainty that is transformed to initial conditions (4.2) of the certain dynamics.…”

Section: Information Microprocesses Initiated By the Cutoffmentioning

confidence: 99%

Information Path from Randomness and Uncertainty to Information, Thermodynamics, And Intelligence of Observer

Lerner¹

2014

IJIT

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The introduced path unites uncertainty of random process and observer information process directed to certainly. Bayesian integral functional measure of entropy-uncertainty on trajectories of Markov multidimensional process is cutting by interactive impulses. Information path functional integrates multiple hidden information contributions of the cutting process correlations in information units, cooperating in doublets-triplets, bound by free information, and enfolding the sequence of enclosing triplet structures in the information network (IN) that successively decreases the entropy and maximizes information. The IN bound triplets release free information rising information forces attracting, ordering, structuring information units, encoding doublet-triplet logic, composing quantum, classical computation, integrating memory and cognition in intelligent observer.

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An observer’s information dynamics: Acquisition of information and the origin of the cognitive dynamics

Cited by 7 publications

References 64 publications

The Impulse Interactive Cuts of Entropy Functional Measure on Trajectories of Markov Diffusion Process, Integrating in Information Path Functional, Encoding and Applications

The Impulse Interactive Cuts of Entropy Functional Measure on Trajectories of Markov Diffusion Process, Integrating in Information Path Functional, Encoding and Applications

Natural encoding of information through interacting impulses

Information Path from Randomness and Uncertainty to Information, Thermodynamics, And Intelligence of Observer

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