On the formation of anti-linear quantized fields

Igor V. Kanatchikov

Harold D. Kirk

For over a century, physics has treated time as a continuous background parameter while quantizing everything else—fields, energy, and angular momentum. This paper argues that the assignment of discreteness has been reversed: Light is not quantized; energy is not quantized. The record is quantized—and the record is what generates time. Within the Emergence as Regime Formation framework, temporal advance arises through irreversible record formation governed by the Future Contraction Postulate: Δt = −kₜ Δ ln Ω where Ω represents generative capacity—the number of realizable configurations remaining to a system. Each irreversible recording event reduces Ω and generates a finite increment of physical time. The paper demonstrates that experimental phenomena commonly interpreted as evidence for quantized light—including the photoelectric effect, Compton scattering, blackbody radiation, photon anti-bunching, and Hong–Ou–Mandel interference—are fully consistent with a framework in which: • The electromagnetic field remains continuous• Sources and detectors undergo discrete irreversible recording events• Apparent field quantization arises from projecting continuous processes onto a discrete lattice of records Explicit derivations of photon anti-bunching statistics and the Hong–Ou–Mandel interference dip are provided without invoking Fock space or field quantization. The results reproduce the standard quantitative predictions of quantum optics while relocating the source of discreteness from the field to the recording process. This relocation dissolves several foundational puzzles in physics, including: • Wave–particle duality• The quantum measurement problem• The emergence of classicality• The arrow of time• The “problem of time” in quantum gravity Within the broader Emergence as Regime Formation program, the same recording dynamics generate quantum mechanics, gauge theory, and gravitational structure as regime limits of a single continuity equation with irreversible recording.

Florian A. Scheck

D. V. Popolitova, Olga V. Tikhonova

Abstract The interactions of a three-level atomic system with a single mode of quantized field is investigated analytically. The effect of coherent population trapping is demonstrated for an arbitrary initial quantum field state and the peculiarities of this regime in squeezed vacuum light are found. Mutual influence between atomic and field subsystems and their entanglement arising during the interaction is demonstrated. A significant change of the field state during the interaction is shown. The possibility of photon bunching and anti-bunching and the formation of a quantum field with non-Gaussian properties is found.

Jan Krolikowski, Jan Rzewuski

Jan Dereziński, Christian Gérard

Quantum fields and quantization are concepts that come from quantum physics, the most intriguing physical theory developed in the twentieth century. In our work we would like to describe in a coherent and comprehensive way basic aspects of their mathematical structure. Most of our work is devoted to the simplest kinds of quantum fields and of quantization. We will mostly discuss mathematical aspects of free quantum fields. We will consider the quantization only on linear phase spaces. The reader will see that even within such a restricted scope the subject is rich, involves many concepts and has important applications, both to quantum theory and to pure mathematics. A distinguished role in our work will be played by representations of the canonical commutation and anti-commutation relations . Let us briefly discuss the origin and the meaning of these concepts.