Quantum Time as a Scalar Field (QTSF) A Framework for Time Symmetry and Retrocausality

Andriy Lemeshko

Cale Scott Howe

This paper presents a field-theoretic reinterpretation of discrete time crystals (DTCs) within the Scalar Temporal Field Ontology (STFO), in which time is treated as a physical scalar field τ(x) rather than an external parameter. It is shown that subharmonic responses in periodically driven quantum systems arise generically and unavoidably from nonlinear observable evolution along a monotonic temporal field, without invoking spontaneous breaking of time-translation symmetry, retrocausality, or exotic thermodynamic mechanisms. The work demonstrates that discrete time-crystalline order is a derived temporal resonance—analogous to spatial resonances—resulting from the composition of periodic laboratory driving with nonlinear coupling to τ. Conditions governing the experimental visibility of such resonances are analyzed, clarifying why time-crystalline behavior is observed primarily in coherent, isolated systems rather than in ordinary macroscopic oscillators. This preprint provides a mechanically grounded and ontologically conservative explanation of time-crystalline phenomena and connects directly to existing experimental observations while reframing their conceptual interpretation.

Huw Price

It has often been suggested that retrocausality offers a solution to some of the puzzles of quantum mechanics: e.g., that it allows a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum nonlocality, without action-at-a-distance. Some writers have argued that time-symmetry counts in favour of such a view, in the sense that retrocausality would be a natural consequence of a truly time-symmetric theory of the quantum world. Critics object that there is complete time-symmetry in classical physics, and yet no apparent retrocausality. Why should the quantum world be any different? This note throws some new light on these matters. I call attention to a respect in which quantum mechanics is different, under some assumptions about quantum ontology. Under these assumptions, the combination of time-symmetry without retrocausality is unavailable in quantum mechanics, for reasons intimately connected with the differences between classical and quantum physics (especially the role of discreteness in the latter). Not all interpretations of quantum mechanics share these assumptions, however, and in those that do not, time-symmetry does not entail retrocausality.

Lemeshko, Andriy

M. Cavaglià, Александр Тихонович Филиппов, V. de Alfaro

Sergiu Margan

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.