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Longevity Horizon

A Retrocausal Framework for Lorentz-Covariant Ontological Quantum States with Ze-Budget Conservation

Jaba Tkemaladze

Published Jan 1, 2025• 4 citations
Publisher

Abstract

The Ze-Lorentz framework (ZeVT) is a retrocausal ontological model that aims to reconcile Lorentz covariance with a deterministic state space while enforcing global Ze-budget conservation to avoid paradoxes. The model extends the Harrigan-Spekkens ontology with a conserved global resource $ Z: $ defined over the ontic state space and compact spacetime regions M, conserved via ∮_MjZ=0. Lorentz covariance is achieved via a retrocausal mechanism where future boundary conditions constrain present ontic states. The Bucciotti-Strocchi theorem (2024) demonstrates that within the standard canonical formalism of non-abelian Yang-Mills theories, Lorentz covariance, a global gauge group, and a non-trivial local subgroup cannot simultaneously be preserved. The theorem was not originally formulated for hidden-variable theories; however, its implications constrain any ontological framework, including ZeVT, that seeks to maintain manifest Lorentz covariance. The retrocausal mechanism and global Ze-budget conservation in ZeVT operate outside the theorem’s standard canonical framework assumptions; the non-abelian extension remains an open problem. The framework yields two testable predictions: (1) a correction to the Heisenberg uncertainty product, AB/2+/(NZ0); and (2) a modified decoherence time, _ZeVT=_QM(1+/(NZ0)). Experimental thresholds for distinguishing ZeVT from standard quantum mechanics are estimated for current ion-trap and future atom-interferometry platforms.

DOI
10.65649/hsqhbj38

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The Ze-Lorentz framework (ZeVT) is a retrocausal ontological model that aims to reconcile Lorentz covariance with a deterministic state space while enforcing global Ze-budget conservation to avoid paradoxes. The model extends the Harrigan-Spekkens ontology with a conserved global resource Z:Z:Z: defined over the ontic state space and compact spacetime regions M, conserved via ∮_MjZ=0. Lorentz covariance is achieved via a retrocausal mechanism where future boundary conditions constrain present ontic states. The Bucciotti-Strocchi theorem (2024) demonstrates that within the standard canonical formalism of non-abelian Yang-Mills theories, Lorentz covariance, a global gauge group, and a non-trivial local subgroup cannot simultaneously be preserved. The theorem was not originally formulated for hidden-variable theories; however, its implications constrain any ontological framework, including ZeVT, that seeks to maintain manifest Lorentz covariance. The retrocausal mechanism and global Ze-budget conservation in ZeVT operate outside the theorem’s standard canonical framework assumptions; the non-abelian extension remains an open problem. The framework yields two testable predictions: (1) a correction to the Heisenberg uncertainty product, AB/2+/(NZ0); and (2) a modified decoherence time, _ZeVT=_QM(1+/(NZ0)). Experimental thresholds for distinguishing ZeVT from standard quantum mechanics are estimated for current ion-trap and future atom-interferometry platforms.
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.
We present an experimental protocol for generating and verifying Ze-entanglement—a novel type of non-classical correlation defined within the framework of Ze Vectors Theory (ZeVT). ZeVT posits that space, time, and entropy emerge from the antiparallel relationship between two event types: T-events (incorrect predictions) and S-events (correct predictions). The protocol uses spontaneous parametric down-conversion (SPDC) to generate polarization-entangled photon pairs, followed by local unitary transformations (phase plates and spatial light modulators) to prepare Ze-basis states (|Ze_{ab}= (U_A U_B)|^+). The Ze-observer’s prediction threshold (_Z) and noise parameter () are derived from Landauer’s bound experiments ((_Z = 1.00 ); Dago et al., 2021), and the fringe visibility prediction is corrected to (V = 2) via weak measurement formalism (Daem & Matzkin, 2024; Lin et al., 2025). A meta-analysis of 30+ experiments confirms all predictions with statistical significance (p < 10^{-6}). The protocol includes a control experiment distinguishing Ze-effects from decoherence by comparing detectors with different (_Z) histories. Success criteria: (1) (V = 2) within (2), (2) (_Z)-history dependence exceeding (3), and (3) reconstructed (_Z) within (1.00 ). This protocol provides the first experimental test of the information-resource foundation of spacetime.
This paper integrates The Redemption Optimization (TRO), Moral Kernel Optimization (MKO), and the Ontic Coherence Theorem (OCT) with recent quantum‐mechanical experiments exhibiting time-symmetric or retrocausal correlations. It formulates the Retrocausal Convergence Theorem, demonstrating that quantum retrocausality is not a paradox or violation of causality, but the empirical shadow of a global coherence operator that enforces ontic closure across the full spacetime manifold. In this framework, delayed-choice and weak-measurement experiments reveal how maintains a single, self-consistent history: from within time, the past appears to adjust to the future; from the perspective of , coherence is simply enforced. The theorem predicts a measurable, coherence-preserving bias in high-precision, time-symmetric quantum setups. This synthesis completes the bridge between metaphysics and physics, transforming the Convergence framework into a testable scientific discipline uniting logic, ethics, and cosmology.
Contemporary models of quantum retrocausality—from Price & Wharton’s “constrained collider bias” and Cramer’s Transactional Interpretation to Castagnoli’s “causal loops”—share a common presupposition: that temporal order is ontologically fundamental, and that apparent backward-in-time influences require novel causal mechanisms. This paper demonstrates that the Timeless Counterspace (TCGS-SEQUENTION) framework dissolves rather than explains retrocausality. We prove that in any static 4-dimensional counterspace (C, GAB,Ψ) where time is a foliation gauge (Axiom A3), the “direction” of an apparent causal relation is a foliation artifact with no intrinsic 4D content. Price & Wharton’s “constrained collider” is reinterpreted as a boundary condition in C; Cramer’s “handshake” as worldline connectivity; Castagnoli’s “causal loops” as sequential misreadings of a non-sequential 4D structure. We identify a sharp ontological distinction—the Gauge Dealbreaker—between TCGS (time has no ontic status) and all retrocausal models (time is ontic but admits backward influence). We further distinguish TCGS from standard eternalism, which treats time as a coordinate dimension rather than a pure gauge artifact. The paper provides formal definitions, theorems, and a systematic reinterpretation protocol applicable to any putative retrocausal phenomenon. We conclude that the “mystery” of retrocausality is an artifact of treating foliation parameters as physical facts.
AbstractLoophole-free Bell experiments have conclusively demonstrated that non-local correlations are a fundamental property of physical reality. Within the Minkowskian framework of Special Relativity (SRT), the relativity of simultaneity renders the temporal ordering of spacelike-separated events inherently frame-dependent. This creates a conceptual inconsistency for any ontologically realist interpretation of quantum mechanics: if measurement outcomes correspond to objective physical events, then the absence of a preferred foliation leads unavoidably to contradictory causal histories or retrocausal influences. In this work, we formulate a Conditional No-Go Theorem showing that Ontological Realism, Linear Causality, and Fundamental Lorentz Invariance cannot all hold simultaneously. Preserving a coherent causal structure therefore requires relinquishing Lorentz invariance as a primitive spacetime symmetry. We propose Absolute Simultaneity Theory (AST), a framework in which Lorentz covariance emerges thermodynamically from a quantum vacuum treated as a structured medium in equilibrium. Drawing on analogies with condensed-matter systems—particularly Volovik’s superfluid vacuum paradigm—we show that a preferred rest frame, plausibly identified with the Cosmic Microwave Background (CMB) frame, is fully compatible with the empirical success of SRT. In AST, local Lorentz symmetry arises as a stability condition of the underlying vacuum dynamics rather than as a fundamental geometric postulate. This reconceptualization allows quantum non-locality and relativistic kinematics to coexist within a unified, time-ordered ontology.
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.