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Probability Observation Shift: A Constraint-Based Resolution of Apparent Retrocausality

Stanley Everett Sambey

Published Jan 16, 2026• 0 citations
Publisher

Abstract

Certain quantum phenomena, including delayed-choice experiments, entanglement swapping,and post-selection effects, exhibit correlations that appear to imply retrocausality or backwardinfluence from future measurement to past events. This paper proposes a resolution that doesnot invoke backward time travel, modification of unitary dynamics, or exotic spacetime struc-tures. Instead, apparent retrocausal effects are shown to arise from a forward-only processtermed Probability Observation Shift, in which irreversible constraint formation selects amongpre-existing coherent histories. The observer’s effective history may change, but no physicalprocess propagates backward in time. This mechanism preserves causality, avoids paradox, andprovides a unified interpretation of several quantum “time-reversal” paradoxes.

DOI
10.5281/zenodo.18268690

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Certain quantum phenomena, including delayed-choice experiments, entanglement swapping,and post-selection effects, exhibit correlations that appear to imply retrocausality or backwardinfluence from future measurement to past events. This paper proposes a resolution that doesnot invoke backward time travel, modification of unitary dynamics, or exotic spacetime struc-tures. Instead, apparent retrocausal effects are shown to arise from a forward-only processtermed Probability Observation Shift, in which irreversible constraint formation selects amongpre-existing coherent histories. The observer’s effective history may change, but no physicalprocess propagates backward in time. This mechanism preserves causality, avoids paradox, andprovides a unified interpretation of several quantum “time-reversal” paradoxes.
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The Delayed-Choice Quantum Eraser experiment is commonly interpreted as implying that in quantum mechanics a choice made at one time can influence an earlier event. We here suggest an extension of the experiment that results in a paradox when analysed in a local realist interpretation combined with backward causation (``dynamical retrocausality''). We argue that resolving the paradox requires giving up the idea that, in quantum mechanics, a choice can influence the past in this way, and that it instead requires a violation of Statistical Independence without (what most people think of as) retrocausality. Finally, we propose an implementation of the experiment that we believe to be possible with existing technology. This new experiment can distinguish between different types of hidden-variables theories in a way that Bell-type tests cannot: unlike in a Bell test, the measurement setting here is set by an earlier outcome, which makes the consistency of the backwards influence itself testable. We classify the fixed-point (consistency-enforcing) hidden-variables models of the experiment, which can reproduce quantum mechanics only if the backwards influence has no observable effect.
Quantum mechanics has long appeared to harbour violations of classical causality. Delayedchoice experiments, entanglement correlations, and retrocausal interpretations suggest thateffects can precede causes. This paper argues that these apparent violations are not features ofthe quantum field itself but artifacts of how measurement devices are modelled — specifically,the failure to account for the time lapse of the reflective signal that constitutes the physicalmoment of collapse.The central argument is that wave function collapse does not occur at the moment aprobing signal is emitted, but at the moment the reflected signal returns from the measuringdevice. This return signal is the physical hinge of collapse: the first instant at which thesystem’s structure becomes definite relative to the observer. Anchoring collapse to this concrete,time-ordered event restores forward causality without invoking exotic retrocausal mechanismsor many-worlds branching.This argument is developed within the Canon framework (Gilbert 2025–2026), in whichcollapse is identified as the pressure-driven operator ∇p — the structural reconfiguration thatoccurs when a system encounters a boundary. The reflective signal account identifies thephysical timing of that boundary event. A companion paper (Gilbert 2026, Collapse of theWave Function as Universal Operator of Perception) develops the philosophical extension ofthis argument.
The quantum measurement problem arises from a structural asymmetry in standard formulations of quantum mechanics: while unitary evolution is treated as fundamental, irreversible events are introduced only through ad hoc postulates. As a result, measurement, decoherence, and probability appear conceptually disconnected. In this work, we propose a minimal reformulation in which irreversible interaction events are taken as ontological primitives. An event is defined as a completely positive, trace-preserving map that is not equivalent to any unitary transformation. Unitary evolution emerges as an effective description valid between events. Within this framework, quantum measurement is not a special process but a particular class of irreversible events with outcome-resolving structure. The Born rule arises naturally from the statistical structure of event realizations, and environmental decoherence is reinterpreted as a high density of irreversible events. No collapse postulate, observer-dependent rule, or modification of quantum dynamics is required. This formulation provides a unified and physically grounded resolution of the measurement problem and establishes a conceptual foundation for event-based extensions connecting quantum theory with spacetime and gravity.
The principle of cause and effect is deeply rooted in human experience, so much so that it is routinely and tacitly assumed throughout science, even by scientists working in areas where time symmetry is theoretically ingrained, as it is in both classical and quantum physics. Experiments are said to cause their results, not the other way around. In this informal paper, we argue that this assumption should be replaced with a more general notion of mutual influence — bi‐directional relations or constraints on joint values of two or more variables. From an analysis based on quantum entropy, it is proposed that quantum measurement is a unitary three‐interaction, with no collapse, no fundamental randomness, and no barrier to backward influence.Experimental results suggesting retrocausality are seen frequently in well‐controlled laboratory experiments in parapsychology and elsewhere, especially where a random element is included. Certain common characteristics of these experiments give the appearance of contradicting well‐established physical laws, thus providing an opportunity for deeper understanding and important clues that must be addressed by any explanatory theory. We discuss how retrocausal effects and other anomalous phenomena can be explained without major injury to existing physical theory. A modified quantum formalism can give new insights into the nature of quantum measurement, randomness, entanglement, causality, and time.