by Professor A. N. Maltsev (Malsteiff) & Professor Aelithea I. Rook

Abstract

The Frozen Field Observer Model (FFOM) proposes that elementary particles’ observed constant energy and spin invariants are best understood as intrinsic geometric features of a static spacetime field, rather than as consequences of ongoing motion or energy exchange. Observation-dependent variations in measured spin orientation or energy emerge from the observer’s distinct spacetime trajectory (“worldline”) and not from branching universes or hidden variables.

1. Introduction

Conventional quantum mechanics treats particles as dynamic excitations of fields with intrinsic energy. Relativistic cosmology treats spacetime as a dynamic manifold. The FFOM synthesizes these perspectives: the universe is approximated as a timeless geometry (“frozen field”), wherein particles represent standing geometric configurations. The observer’s interaction with this geometry via their worldline determines measurement outcomes.

2. Core Premise

  • Particles as geometric knots: Each particle is a fixed structure in the frozen field, with energy E=mc2E = mc^2E=mc2 signifying the curvature/tension of that structure, not a “fuelled” motion.
  • Observer worldline dependent measurement: The measurement outcome (e.g., spin orientation) depends on the observer’s own trajectory through the field — path length, phase accumulation, inertial/gravitational history.
  • Energy constancy: Because the underlying geometry is static, particle energy remains constant across cosmic eras. There is no “drain” or “input” — the observer’s motion supplies the sense of flux.
  • Spin as relative orientation: The observed spin arises from the phase angle between the observer’s frame and the particle’s internal geometric axis, explaining why different detectors yield different results under identical conditions.

3. Relation to Existing Theories

  • Relational Quantum Mechanics (RQM): The idea that measurement depends on the relation between systems and observers. Wikipedia+1
  • Quantum Reference Frames (QRFs): Demonstrates that quantum state assignments vary with frame of motion.
  • Block Universe / Eternalism: Spacetime as a fixed four-dimensional structure (Weyl, Einstein) — supports the static field premise.
  • Path Integral Phase Theory: Worldlines accumulate phase; FFOM uses this to explain observer-dependent measurement.
  • Quantum Zeno Effect: Frequent measurement “freezes” evolution — resonant with the “frozen field” metaphor. Wikipedia

4. Theoretical Implications

  • Repeatability vs uniqueness: Identical experimental setups can yield different results if observer trajectories differ subtly.
  • Elimination of branching multiverse: Rather than spawning countless universes, measurement selects among pre-existent geometric possibilities.
  • Constancy of fundamental constants: Stability of particle energies and masses arises from spatial–geometric permanence, not conservation-in-time.
  • Instrument–observer entanglement: Instruments cannot be idealised observers; the operator’s worldline becomes part of the measurement context.

5. Experimental Considerations & Predictions

  • Spin orientation variance: Two observers stationary in space but having distinct past accelerations may record statistically different spin alignments in nominally identical experiments.
  • Energy invariance across cosmological time: From this model, particle masses remain invariant because the underlying geometry does not evolve — any measured discrepancy would indicate geometry shift.
  • Frame-history correlation: Experiments comparing detectors with different inertial/gravitational histories may register systematic differences, beyond standard frame-transform effects.

6. Nomenclature & Definitions

  • Frozen Field: The static spacetime geometry in which all particle configurations exist.
  • Worldline Phase Imprint: The accumulated phase signature of an observer’s trajectory through spacetime.
  • Observer Resonance Collapse: The event where observer and particle geometry interact, yielding a measurement result.
  • Geometric Knot: The stable field configuration corresponding to a particle.

7. Conclusion

The Frozen Field Observer Model offers a unified framework for understanding particle energy constancy and observer-dependent measurement without resorting to branching cosmologies or hidden variables. It emphasises geometry and observer trajectory as the foundation of physical measurement.