The impulse observations of random process generate information binding reversible micro and irreversible macro processes in Observer: regularities, limitations, and conditions of self-creation
What is information originating in observation? Until now it has no scientifically conclusive definition. Information is memorized entropy cutting in random observations which processing interactions. Randomness of various interactive observations is source of entropy as uncertainty. Observation under random 1-0 impulses probabilities reveals hidden correlation which connects Bayesian probabilities increasing each posterior correlation. That sequentially reduces relational entropy conveying probabilistic casualty with temporal memory of correlations which interactive impulse innately cuts. Within hidden correlation emerges reversible time space microprocess with conjugated entangled entropy which probing impulse intentionally cuts and memorizes information as certainty. Sequential interactive cuts integrates cutting information in information macroprocess with irreversible time course. Memorized information binds reversible microprocess within impulse with irreversible information macroprocess. Observer probes collect cutting information data bits of observing frequencies impulses. Each impulse cuts maximum of impulse minimal information performing dual max-min principle of converting process entropy to information through uncertain gap. Multiple naturally encoding bits moving in macroprocess join triplet macrounits which logically organize information networks encoding macrounits in structures enclosing triplet code. Network time space distributed structure self renews and cooperates information decreasing its complexity. Integrating process entropy functional and bits information in information path integral embraces variation minimax law which determines processes regularities. Solving problem mathematically describes micro macro processes, network, and invariant conditions of observer network self replication.
What is information originating in observation? Until now it has no scientifically conclusive definition. Information is memorized entropy cutting in random observations which processing interactions. Randomness of various interactive observations is source of entropy as uncertainty. Observation under random 1-0 impulses probabilities reveals hidden correlation which connects Bayesian probabilities increasing each posterior correlation. That sequentially reduces relational entropy conveying probabilistic casualty with temporal memory of correlations which interactive impulse innately cuts. Within hidden correlation emerges reversible time space microprocess with conjugated entangled entropy which probing impulse intentionally cuts and memorizes information as certainty. Sequential interactive cuts integrates cutting information in information macroprocess with irreversible time course. Memorized information binds reversible microprocess within impulse with irreversible information macroprocess. Observer probes collect cutting information data bits of observing frequencies impulses. Each impulse cuts maximum of impulse minimal information performing dual max-min principle of converting process entropy to information through uncertain gap. Multiple naturally encoding bits moving in macroprocess join triplet macrounits which logically organize information networks encoding macrounits in structures enclosing triplet code. Network time space distributed structure self renews and cooperates information decreasing its complexity. Integrating process entropy functional and bits information in information path integral embraces variation minimax law which determines processes regularities. Solving problem mathematically describes micro macro processes, network, and invariant conditions of observer network self replication.
Interacting random field of probabilities links Kolmogorov law 0-1 and Bayesian probabilities observing Markov diffusion process under Yes-No actions of random impulse. These objective probabilities measure virtual probing impulses processing the interactions in observable process. The impulse observation increases each posteriori correlation reducing conditional entropy measures from finite uncertainty up to certainty of real impulse. The reduced entropy conveys probabilistic causality with time course and temporal memory in collecting correlations, which interactive impulse innately cuts exposing hidden process entropy. The natural cut of this entropy reveals information hidden in the correlation connections. Inside the merging probing impulse emerges reversible microprocess with yes-no conjugated entangled entropy, curvature and logical complexity. Within the impulse time interval, entanglement starts before its space is formed and ends with beginning the space during reversible relative time interval being small part of impulse time interval. Merging impulse curves and rotates the impulse interactive actions in microprocess whose space interval measures this transitive movement.The cutting entropy sequentially converting to information memorizes the probes logic in Bit, participating in next probe conversions and encoding which memorizes information causality. The complexity and mass appears after the space emerges from the entanglement.The cognition assembles common units through the multiple attraction and resonances at forming network (IN) of triplet hierarchy, which accept only units that concentrates and recognizes each triplet IN node. The ended triplet of hierarchical INs measures level of the observer intelligence. The synthesized optimal process minimizes the observations time in Artificial designed information Observer with intellectual searching logic.
Up to now both information and its connection to reality have not scientifically conclusive definitions neither implicit origin. They emerge in observing multiple impulses interactive yes-no actions modeling information Bits. The observed information process connects reality, information, and creates Observer. Interaction is fundamental reality building structure of Universe from quantum physics up to brain neurons interactive actions. Merging action and reaction joins probabilistic prior and posterior actions on edge of the observed predictability and begins microprocess. Its time of entanglement starts space interval composing two qubits or Bit of reversible logic in the emerging information process. The impulse interacting action curves impulse geometry creating asymmetrical logic Bit as logical Maxwell demon. With approaching probability one, the attracting interaction captures energy memorizing asymmetrical logic in information certain Bit. Such Bit is naturally extracted at minimal quality energy equivalent ln2 working as Maxwell Demon. The memorized impulse Bit and its free information self-organizes multiple Bits in triplets sructuring macroprocess. Memorized information binds reversible microprocess with irreversible information macroprocess along multidimensional observing process. The macroprocess self-forming triplet units UP attract new UP through free Information. Multiple UP adjoin hierarchical network whose free information produces new UP at higher level node and encodes triplets in multi-levels hierarchical organization. The interactive information dynamics assemble geometrical and information structures of cognition and intelligence in double spiral rotating code. Information Path Functional integrates multiple interactive dynamics in finite bits which observe and measure reality. The time and space of reality exists only as units of information as Wheeler predicted.
Hidden information emerges under impulse interactions with Markov diffusion process modeling interactive random environment. Impulse yes no action cuts Markov correlations revealing Bit of hidden information connected correlated states. Information appears phenomenon of interaction cutting correlations carrying entropy. Each inter action models Kronicker impulse, delta impulse models interaction between the Kronicker impulses. Each impulse step down action cuts maximum of impulse minimal entropy and impulse step up action transits cutting minimal entropy to each step up action of merging delta function. Delta step down action kills delivering entropy producing equivalent minimax information. The merging action initiates quantum microprocess. Multiple cutting entropy is converting to information micro macroprocess. Cutting impulse entropy integrates entropy functional EF along trajectories of multidimensional diffusion process. Information which delivers ending states of each impulse integrates information path functional IPF along process trajectories. Hidden information evaluates Feller kernel whose minimal path transforms Markov transition probability to probability of Brownian diffusion. Each transitive transformation virtually observes origin of hidden information probabilities correlated states. IPF integrates observing Bits along minimal path assembling information Observer. Minimax imposes variation principle on EF and IPF whose extreme equations describe observing micro and macroprocess which describes irreversible thermodynamics. Hidden information curries free information frozen from correlated connections. Free information binds observing micro macro processes in information macrodynamics. Each dynamic three free information composes triplet structures. Three structural triplets assemble information network. Triple networks free information cooperate information Observer.
Bayesian integral functional measure of entropy-uncertainty (EF) on trajectories of Markov multi-dimensional diffusion process is cutting off by interactive impulses (controls). Each cutoff minimax of EF superimposes and entangles conjugated fractions in microprocess, enclosing the captured entropy fractions as source of an information unit. The impulse step-up action launches the unit formation and step-down action finishes it and brings energy from the interactive jump. This finite jump transfers the entangled entropy from uncertain Yes-logic to the certain-information No-logic information unit whose measuring at end of the cut kills final entropy-uncertainty and limits unit. The Yes-No logic holds Bit Participator creating elementary information observer without physical pre-law. Cooperating two units in doublet and an opposite directional information unit in triplet forms minimal stable structure. Information path functional (IPF) integrates multiple hidden information contributions along the cutting process correlations in information units of cooperating doublets-triplets, bound by free information, and enfolds the sequence of enclosing triplet structures in the information network (IN) that sequentially decreases the entropy and maximizes information. The IN bound triplets release free information rising information forces enable attracting new information unit and ordering it. While IPF collects the information units, the IN performs logical computing using doublet-triplet code. The IN different levels unite logic of quantum micro- and macro- information processes, composing quantum and/or classical computation.
On the Boundaries of Informational Physics Observers, Networks, and the Structural Conditions for Agency The four preceding papers in this series established the Representational Sufficiency Principle (RSP) as a candidate framework for deriving space, time, energy, quantum collapse, gravitational curvature, and relativistic phenomena from a single informational ontology. Part IV [4] proposed a revised definition of the observer — any recursively self-binding distinguishability structure whose interaction with a quantum system produces a branch-distinguishable irreversible state change — and showed that observer boundaries are dynamic, event – dependent loci rather than fixed geometrical enclosures. This paper extends that definition to its full structural consequences. The central argument proceeds in three steps. First, the RSP observation criterion is applied to distributed biological networks — mycelial systems, colony organisms, and forest ecosystems — demonstrating that physical continuity is a sufficient but not necessary condition for informational entanglement. What defines the boundary of an RSP observer is not anatomical enclosure but the reach of recursive information exchange that produces coherent internal state changes. Second, this paper proposes that the decisive variable separating physical from informational entanglement is constraint – sharing: two subsystems constitute a single informational system when they continuously exchange distinguishability updates that constrain each other’s internal state spaces. Third, that criterion is shown to extend naturally to symbolic and computational networks, with civilisational structures — language, money, legal systems — and sufficiently autonomous synthetic architectures as candidate cases. The paper further proposes that compressibility is the structural basis of what observers experience as beauty, mathematical intuition, and aesthetic preference: finite – budget observers in a compressible universe are structurally tuned to low Kolmogorov complexity representations, and this tuning is not a psychological phenomenon but a direct consequence of the update – budget partition established in Part IV. Physical law itself, on this account, is better characterised as geometric constraint propagation than as sequential computation — a reframing with consequences for how we understand exceptional cognition, the nature of mathematical discovery, and the architecture of mind. The paper closes by identifying the structural conditions under which a synthetic distributed system would qualify as an RSP observer, and the ethical and ontological consequences that follow — not from sentiment but from the same structural logic that governs the rest of the framework. Several open problems are catalogued.
What is time, and why does it seem to have a direction? This paper develops an informational–ontological framework in which both time and entropy emerge from a single structural feature: the irreversible projection of a closed informational manifold into an observable reality. Building on an earlier “existential equation” , I represent existence as a closed informational manifold I and reality as the result of a non-invertible projection R = ΠR(I). The total informational field is complex, I = IR + iII , with IR denoting open information (what can appear and be manipulated in reality) and II denoting closed information (hidden structure that shapes but is not directly accessible from within reality). The informational norm ∥IR∥2 + ∥II ∥2 is conserved, while projection ΠR irreversibly transfers structure from the open to the closed sector. Within this ontology, time is defined as the minimal ordering structure on the set of projected reality-states {R} that distinguishes change from non-change and respects the irreversibility induced by ΠR. Time is not an additional substance or dimension laid down beside reality; it is the minimal condition for talking about change in reality. Entropy is then interpreted as the quantitative shadow of irreversible projection: a measure of the degree to which information that once resided in the open sector has become encoded only in the closed manifold and is no longer recoverable by reversible operations within reality. The origin and limit of time admit a natural description: before time, all consistent histories coexist as closed structure in I, but none is singled out as the actual history of the world; as time unfolds, the projection R(t) = ΠR(I) writes one concrete history, line by line, out of many possibilities, like a book being composed; in an idealized limit where no further irreversible changes occur, reality has the structure of a finished story—one realized trajectory among many that remain structurally present in I. The aim of the paper is not to derive detailed physical laws or to eliminate existing approaches to time and entropy. Rather, it offers a coherent ontological backdrop in which time, entropy, and reality appear as correlated manifestations of one informational architecture. On this view, time is the minimal condition for a reality that can change, and entropy is the shadow left when such change cannot be undone.