To present Ze Theory as an interpretive framework for quantum mechanics, reformulating known quantum phenomena in the language of Ze-observers—quantum systems by construction that possess proper time and act under conditions of struggle for existence. A Ze-observer is defined as a tuple (H, ρ_Z, {M_i}, τ_Z, θ_Z), where H is a Hilbert space, ρ_Z is a belief state, {M_i} is a POVM, τ_Z is a proper time counter, and θ_Z is a prediction threshold. The dynamics of τ_Z follow the rule: for a correct prediction (S-event), τ_Z is preserved; for an incorrect prediction (T-event), τ_Z decreases by 1. Two fundamental survival strategies of Ze are derived: internal adaptation (filtering of rare events) and external adaptation (niche construction). Within the proposed framework: (1) the arrow of time emerges from the decrease of τ_Z during T-events; (2) aging is interpreted as the dominance of the filtering strategy; (3) quantum entanglement corresponds to Ze generated by a common parent; (4) the double-slit experiment is reinterpreted through strategy choice; (5) spacetime is constructed from partial order and the commutation matrix of POVMs. Ze Theory offers a coherent interpretive framework for quantum mechanics, consistent with evolutionary epistemology. Open problems include deriving the Born rule from selection pressure, Lorentz invariance from Ze network dynamics, and the emergence of gravity.
To present Ze Theory as an interpretive framework for quantum mechanics, reformulating known quantum phenomena in the language of Ze-observers—quantum systems by construction that possess proper time and act under conditions of struggle for existence. A Ze-observer is defined as a tuple (H, ρ_Z, {M_i}, τ_Z, θ_Z), where H is a Hilbert space, ρ_Z is a belief state, {M_i} is a POVM, τ_Z is a proper time counter, and θ_Z is a prediction threshold. The dynamics of τ_Z follow the rule: for a correct prediction (S-event), τ_Z is preserved; for an incorrect prediction (T-event), τ_Z decreases by 1. Two fundamental survival strategies of Ze are derived: internal adaptation (filtering of rare events) and external adaptation (niche construction). Within the proposed framework: (1) the arrow of time emerges from the decrease of τ_Z during T-events; (2) aging is interpreted as the dominance of the filtering strategy; (3) quantum entanglement corresponds to Ze generated by a common parent; (4) the double-slit experiment is reinterpreted through strategy choice; (5) spacetime is constructed from partial order and the commutation matrix of POVMs. Ze Theory offers a coherent interpretive framework for quantum mechanics, consistent with evolutionary epistemology. Open problems include deriving the Born rule from selection pressure, Lorentz invariance from Ze network dynamics, and the emergence of gravity.
The Ze theory proposes a binary-process framework in which reality is not pre-given but materially instantiated through the activity of Ze systems — finite or infinite binary sequences whose statistical structure determines observational capacity and temporal depth. We ground the theory in a single foundational axiom: Axiom 0 (Ze Fundamental Duality) — time-directed and space-directed binary events carry opposite algebraic signs in every Ze invariant quantity. From this axiom alone we derive the Ze proper time, Ze velocity, impedance, and fixed point. We then develop and formally state four postulates of Ze theory as an observer-based theory of materialization. Postulate I asserts that a Ze system, through its binary process X = {x_k in {0,1}}, operates as a materializing observer: the probability of an event E conditioned on the existence of an observing Ze structure strictly exceeds the unconditioned probability. The Ze velocity v = N_S/(N-1) — the fraction of switching (S-) events among all transitions — parameterizes the system's observational coherence, with the fixed point v* = 0.45631 marking maximum materialization capacity. Postulate II generalizes this to passive Ze structures: existence alone, without active measurement or conscious involvement, is sufficient to bias materialization. A Ze sub-structure modifies boundary conditions of the local physical medium even when 'switched off'. Postulate III introduces the Ze-map — each Ze system's internal probabilistic model of interacting Ze systems — and connects prediction accuracy to temporal resource consumption. Prediction error epsilon drives depletion of Ze proper time: d-tau/dt = -alpha * epsilon. Two adaptation strategies emerge: improving internal model accuracy (Path A) or reshaping the observation apparatus to materialize more predictable states (Path B). Ze selection favors systems that minimize cumulative error. Postulate IV addresses the role of temporal potential: for finite Ze systems (biological organisms), the remaining tau is a dynamical variable. As tau depletes, the Ze velocity drifts toward 1, impedance Z_Ze diverges, and the Ze cheating index chi_Ze = 1 - Z_Ze declines toward zero. We propose chi_Ze as a biomarker of temporal potential and derive the Ze-Godel self-referential ceiling chi_Ze_self_max = Z*² ≈ 0.839 as a conjectured upper bound for living Ze systems. The framework is compared with Copenhagen, Many-Worlds, Relational Quantum Mechanics, and QBism, and biological implications — including aging as a v → v* → 1 trajectory — are discussed.
The Ze theory proposes a binary-process framework in which reality is not pre-given but materially instantiated through the activity of Ze systems — finite or infinite binary sequences whose statistical structure determines observational capacity and temporal depth. We ground the theory in a single foundational axiom: Axiom 0 (Ze Fundamental Duality) — time-directed and space-directed binary events carry opposite algebraic signs in every Ze invariant quantity. From this axiom alone we derive the Ze proper time, Ze velocity, impedance, and fixed point. We then develop and formally state four postulates of Ze theory as an observer-based theory of materialization. Postulate I asserts that a Ze system, through its binary process X = {x_k in {0,1}}, operates as a materializing observer: the probability of an event E conditioned on the existence of an observing Ze structure strictly exceeds the unconditioned probability. The Ze velocity v = N_S/(N-1) — the fraction of switching (S-) events among all transitions — parameterizes the system's observational coherence, with the fixed point v* = 0.45631 marking maximum materialization capacity. Postulate II generalizes this to passive Ze structures: existence alone, without active measurement or conscious involvement, is sufficient to bias materialization. A Ze sub-structure modifies boundary conditions of the local physical medium even when 'switched off'. Postulate III introduces the Ze-map — each Ze system's internal probabilistic model of interacting Ze systems — and connects prediction accuracy to temporal resource consumption. Prediction error epsilon drives depletion of Ze proper time: d-tau/dt = -alpha * epsilon. Two adaptation strategies emerge: improving internal model accuracy (Path A) or reshaping the observation apparatus to materialize more predictable states (Path B). Ze selection favors systems that minimize cumulative error. Postulate IV addresses the role of temporal potential: for finite Ze systems (biological organisms), the remaining tau is a dynamical variable. As tau depletes, the Ze velocity drifts toward 1, impedance Z_Ze diverges, and the Ze cheating index chi_Ze = 1 - Z_Ze declines toward zero. We propose chi_Ze as a biomarker of temporal potential and derive the Ze-Godel self-referential ceiling chi_Ze_self_max = Z*² ≈ 0.839 as a conjectured upper bound for living Ze systems. The framework is compared with Copenhagen, Many-Worlds, Relational Quantum Mechanics, and QBism, and biological implications — including aging as a v → v* → 1 trajectory — are discussed.
The Ze theory proposes a binary-process framework in which reality is not pre-given but materially instantiated through the activity of Ze systems — finite or infinite binary sequences whose statistical structure determines observational capacity and temporal depth. We ground the theory in a single foundational axiom: Axiom 0 (Ze Fundamental Duality) — time-directed and space-directed binary events carry opposite algebraic signs in every Ze invariant quantity. From this axiom alone we derive the Ze proper time, Ze velocity, impedance, and fixed point. We then develop and formally state four postulates of Ze theory as an observer-based theory of materialization. Postulate I asserts that a Ze system, through its binary process X = {x_k in {0,1}}, operates as a materializing observer: the probability of an event E conditioned on the existence of an observing Ze structure strictly exceeds the unconditioned probability. The Ze velocity v = N_S/(N-1) — the fraction of switching (S-) events among all transitions — parameterizes the system's observational coherence, with the fixed point v* = 0.45631 marking maximum materialization capacity. Postulate II generalizes this to passive Ze structures: existence alone, without active measurement or conscious involvement, is sufficient to bias materialization. A Ze sub-structure modifies boundary conditions of the local physical medium even when 'switched off'. Postulate III introduces the Ze-map — each Ze system's internal probabilistic model of interacting Ze systems — and connects prediction accuracy to temporal resource consumption. Prediction error epsilon drives depletion of Ze proper time: d-tau/dt = -alpha * epsilon. Two adaptation strategies emerge: improving internal model accuracy (Path A) or reshaping the observation apparatus to materialize more predictable states (Path B). Ze selection favors systems that minimize cumulative error. Postulate IV addresses the role of temporal potential: for finite Ze systems (biological organisms), the remaining tau is a dynamical variable. As tau depletes, the Ze velocity drifts toward 1, impedance Z_Ze diverges, and the Ze cheating index chi_Ze = 1 - Z_Ze declines toward zero. We propose chi_Ze as a biomarker of temporal potential and derive the Ze-Godel self-referential ceiling chi_Ze_self_max = Z*² ≈ 0.839 as a conjectured upper bound for living Ze systems. The framework is compared with Copenhagen, Many-Worlds, Relational Quantum Mechanics, and QBism, and biological implications — including aging as a v → v* → 1 trajectory — are discussed.
We present Ze Vectors Theory (ZeVT), a foundational framework in which physical laws emerge from the statistics of two complementary event types — T-events (incorrect predictions) and S-events (correct predictions) — registered by abstract information-processing units called Ze-observers. The theory is named for the two antiparallel vectors (T ↑ and S ↓) that satisfy the fundamental symmetry S=−T. Axiom Z0 establishes the core geometric insight: space emerges from the projection orthogonal to the T/S axis only when Ze makes an incorrect prediction (T-event), which simultaneously decrements its proper time counter Z and increases entropy. When Ze predicts correctly (S-event), no new space is created, time is conserved, and entropy does not increase. Thus, errors in prediction are the source of both spatial extension and the arrow of time. We derive the Second Law of Thermodynamics from Ze-budget monotonicity (Axiom Z2): in an isolated Ze-system, the expected number of future T-events cannot exceed the current Z budget. Ze-entropy SZe=kBln is shown to be formally equivalent to Boltzmann entropy under idealised conditions. Maxwell’s Demon is resolved as a Ze-system that cannot sort molecules without expending Ze-budget. The Born rule of quantum mechanics is recovered as the unique Ze-consistent probability measure satisfying resource monotonicity under POVM measurements via smooth sigmoid approximation. We introduce testable conjectures: double-slit fringe visibility V=1−2pT, particle lifetime 1/2=Z(0)/ with =mc2/h, and Lorentz invariance as an emergent phenomenon.
This paper proposes a novel theoretical framework that reinterprets quantum behavior—superposition, interference, and wavefunction collapse—not as fundamental properties of matter but as emergent epistemic properties of a specific class of information-processing architectures, termed Ze systems. A Ze system is defined as an active predictive engine that operates on continuous data streams through two distinct modes: forward reading (ℱ) and retrograde encoding (ℛ). The core architectural constraint is that ℛ, the process of running predictions backward to reconcile models, necessitates the cessation of the forward information flow ℱ. We demonstrate that superposition corresponds to the system state where competing internal hypotheses remain compatible, formally defined by a small free energy difference (ΔF < θ). Collapse is not a primitive event but a structured, two-stage process triggered when ΔF ≥ θ: first, the mandatory stoppage of ℱ, and second, the execution of ℛ to achieve a single, globally consistent model. Interference is shown to be a statistical signature of the coherent blending of hypotheses when they are non-distinguishable. This framework generates testable predictions across scales, from the accelerated decoherence of complex molecules to the modulation of cognitive flexibility during REM sleep. By deriving quantum phenomena from a principle of predictive inference, the theory bridges the Free Energy Principle, relational quantum mechanics, and decoherence theory, suggesting that quantumness is a universal signature of systems that must pause to look backward in order to predict the future.
The Ze Framework proposes that relativistic and quantum effects emerge from the statistics of causal event updates rather than from the fundamental geometry of spacetime. This paper presents eight falsifiable predictions (FP-1 through FP-8) of the Ze Framework, formally restated in precise mathematical language. Four predictions are verified computationally: FP-1 (universal Lorentz scaling τ(v)/τ₀ = √(1−v²), confirmed to residuals < 10⁻⁵ across 21 velocity values and N = 10⁷ events); FP-2 (implementation equivalence — i.i.d., Markov, and deterministic streams with identical (N_T, N_S) yield identical τ); FP-3 (acceleration independence — four p-profiles with equal effective velocity produce equal τ/τ₀); FP-5 (causal chain length determines proper time — τ = √(L_c² + 2L_c·N_S) matches the Minkowski interval exactly). FP-6 (twin paradox) is verified to agree with the SR prediction to within statistical fluctuations O(1/√N). FP-4, FP-7, and FP-8 are critically assessed: FP-4 is reformulated as an analytic limit statement; FP-7 and FP-8 are identified as theoretical programme goals requiring future formal development. All computationally tested predictions pass their pre-specified falsifiability thresholds. The Ze Framework is found to be self-consistent within its defined domain and fully compatible with the established structures of special relativity at the level of counter dynamics.