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LASER: Lagrangian And Symmetry for Engagement Resonances: A gauge-invariant field theory of marketing as a complex system

by Juan J. Segura

Submission summary

Authors (as registered SciPost users): Juan Segura
Submission information
Preprint Link: scipost_202601_00020v1  (pdf)
Date submitted: Jan. 12, 2026, 8:30 p.m.
Submitted by: Juan Segura
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Mathematical Physics
  • Quantum Physics
  • Statistical and Soft Matter Physics
Approaches: Theoretical, Phenomenological
Disclosure of Generative AI use

The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:

GPT-5.2: Spanish-English translation and corrections and details of writing, style and editing

Abstract

We develop a gauge-invariant, QFT-inspired framework for marketing conceived as a complex socio- technical system. Consumers, brands, and media infrastructures are modeled as interacting fields over a configuration space, while attention and engage- ment are represented as quanta in a bosonic Fock space—a natural language for cascades in which the number of acts is itself dynamical. Within this structure we formalize (i) contextuality of marketing observables under incompatible measurement contexts (via Kochen–Specker-type projection structure), (ii) interference of combined interventions through amplitude superposition with constructive/destructive cross terms, (iii) coher- ent gain-threshold laser events defined as macroscopic jumps of regional number oper- ators under inversion and sufficiently long coherence length, and (iv) scale-dependent effective couplings induced by coarse-graining, suggesting renormalization-style analy- sis for segment-level response. To keep one foot on the pavement, we include an evolu- tive campaign design loop for a new men’s perfume in New York City: the target “in- version” is a 10× sales uplift, while budget and cadence act as explicit controls that adapt to measurable proxies for inversion, coherence, and stimulated-response gain. Finally, two conversation-dynamics reductions— a double-delta tunneling model and a two-mode bosonic GKSL (Lindblad) system—illustrate how low- dimensional quantum and open-system models arise as controlled truncations of the field picture. The aim is not immediate calibration, but a principled phenomenological vocabulary that surfaces interference, thresholds, and scale effects for modeling and designing interventions in complex systems.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
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