Hypothesis: Log-Harmonic Field Theory (LHFT)
Year: 2025
Type: preprint
Abstract: Hypothesis: Log-Harmonic Field Theory (LHFT) Log-Harmonic Field Theory (LHFT) is a conservative, structural framework designed to clarify how the most successful theories of modern physics fit together. Rather than proposing a radical replacement for General Relativity (GR), Special Relativity (SR), Quantum Mechanics (QM), or Quantum Field Theory (QFT), LHFT focuses on explaining why these theories work so well in their respective domains, despite long-standing conceptual tensions between them. The central idea of LHFT is a strict separation between what is fundamental and what is observed. Many apparent paradoxes in physics arise, according to LHFT, from treating observable quantities as if they were fundamental. LHFT introduces a clean conceptual architecture that avoids this confusion and provides a common language for gravity, quantum fields, measurement, and scale. At the heart of the theory lies the Trias principle: Structure – State – Coupling. Structure denotes the underlying, scale-free order of reality. It is not spacetime as we measure it and does not contain particles, energies, clocks, or rulers. Instead, it is the domain of patterns, symmetries, and scale relations that exist independently of any particular observer. Intuitively, structure can be compared to a blueprint that contains only relations and proportions, but no absolute numbers or units. It specifies how things are related, not how large, heavy, or fast they are. Concrete values such as meters, seconds, or joules appear only after coupling to an observer and a measurement context. State describes how this structure is configured at a given stage. It specifies which patterns are active and how they evolve. The state belongs entirely to the structural level and does not yet imply a spacetime interpretation. Metaphorically, the state is like the current configuration of a blueprint being used in a construction process. The blueprint itself does not change (that is the structure), but the state tells us which parts of the plan are currently “active,” which sections are emphasized, and how the overall configuration shifts from one step to the next. It is still all about relations and proportions, not about concrete materials, sizes, or measurements. Coupling (or projection) describes how a concrete observer or measuring system interacts with structure and state. Through coupling, the structural world is mapped into an observable 3+1-dimensional description with space, time, particles, fields, and measurement records. What we call “physical reality” is therefore always a projected map, not the structure itself. A crucial consequence of this view is endogeneity: there is no external or absolute viewpoint. Every observer is part of the structure, and every observation is necessarily made from within it. A second key element of LHFT is the use of logarithmic scale space. Instead of describing distances and scales in ordinary linear terms, LHFT uses a logarithmic representation. This choice is motivated by the empirical fact that many natural structures repeat across scales and exhibit approximate scale invariance. In logarithmic space, multiplicative scaling becomes additive, making such patterns simpler, more regular, and more stable to analyze. This shift is not a mathematical trick, but a natural coordinate choice for a scale-free structural description. Within this framework, the relationship between GR and QFT becomes clearer. General Relativity emerges as the geometric description of the projected world when structural variations appear smooth and large-scale. Quantum Mechanics and Quantum Field Theory emerge when the same projection is interpreted in terms of modes, interactions, and recorded measurement events. Both theories describe the same projected 3+1 world, but from different limiting perspectives. Their apparent incompatibility is thus not fundamental, but a result of confusing projection-dependent quantities with structural ones. LHFT is deliberately conservative in its claims. Wherever existing physics has been tested and confirmed, LHFT is constrained to reproduce it. New ideas are introduced with explicit domain labels, clear assumptions, and a disciplined distinction between definitions, recoveries, calibrations, and testable predictions. An explicit empirical methodology accompanies the theory, emphasizing preregistration, robust statistics, and auditability. In summary, LHFT does not aim to overthrow modern physics. Its goal is to provide a coherent structural perspective in which spacetime, quantum fields, measurement, and scale naturally coexist. By separating structure from projection and by choosing coordinates adapted to scale-free behavior, LHFT offers a unifying conceptual framework that respects existing results while opening a controlled path toward deeper understanding. In LHFT, the double-slit experiment is understood through structure, state, and coupling. Interference appears when the experimental setup does not create a stable record of which path was taken, allowing the structural state to remain coherent across alternatives. When which-path information is physically stored, the coupling enforces consistency with that record, coherence is lost, and particle-like outcomes appear. A detector “click” is not a wave-to-particle transition, but the formation of a stable, irreversible record through amplification into a macroscopic trace. 01 is the conceptual entry point. It introduces the two-layer architecture and the Trias logic (Structure–State–Coupling): a scale-free structural level, an evolving structural state, and an observer-dependent coupling/projection that yields the observable 3+1 map with clocks, rulers, fields, and recorded events. 02 is the mathematical core. It fixes the log-space viewpoint (u-space) as the natural coordinate system for scale-free structure, formalizes the projection idea, and states the recovery constraints that force LHFT to reproduce SR/GR/QM/QFT in the calibrated regime. 03 isolates the discrete-scale-invariant (DSI) geometry: how shell structure becomes simple and stable in u-space, including precise windowing conventions used for analysis. 04 develops drift as structural evolution and explains how drift can appear on the 3+1 map through coupling without violating recovery, connecting the structural picture to observable phenomenology. 05 contains the empirical program: preregistered (“freeze”) parameters, explicit null models, robust statistics, and auditable significance testing for log-harmonic shell signatures in data. 06 serves as the structural reference backbone: definitions, notation, and consistency links that keep all other documents aligned. 07 defines the notation and operator language used across the project. It standardizes symbols, index conventions, coordinate mappings (including u-space), and the interface vocabulary (e.g., coupling classes, projection/readout objects, and recovery-sector labels), so that derivations in 01–06 remain unambiguous and mutually compatible when cited or combined. Reality does not change, and the underlying structure may remain beyond direct reach, but our perspective evolves with every new understanding.
Author: Baganz, Christian
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117109854
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