Published September 27, 2026 | Version 1.0

Light in a Non-Preexisting Spacetime

  • 1. Pattern Field Theory

Description

Pattern Field Theory - Special Relativity, Lorentz Transformations, Rapidity, Gauge Theory, Wilson Lines, Quantum Transport

Light in a Non-Preexisting Spacetime asks how relativistic transport structure can arise when spacetime is not assumed as the primitive physical stage.

The paper derives transport relations below a defined Physics Cut-off Line using relational support, admissible handover, Basin Dynamics, and ordered state commitment.

PHYSICS CONNECTIONS

- special relativity
- Lorentz transformations
- rapidity
- relativistic kinematics
- invariant speed
- light propagation
- quantum transport
- gauge theory
- Wilson lines
- path ordering
- holonomy
- connection covariance
- quantum field theory
- Collins-Soper evolution
- transverse-momentum-dependent factorization
- emergent spacetime
- pregeometry

PRINCIPAL RESULTS

- Ordered physical handover generates ordered composition.
- Successive handover produces connection-covariant transport.
- Closed transport loops produce holonomy.
- The corresponding ordered transport structure produces the path-ordered Wilson form.
- A finite saturated transport boundary is derived.
- Preservation of that boundary yields the longitudinal Lorentz transformation.
- Additive rapidity follows from the same transport structure.
- The resulting one-parameter rapidity-generator structure provides the form required for Collins-Soper evolution.
- QCD colour structure is connected to the separately derived Pattern Field Theory Standard-Model admissibility branch rather than inserted into the transport derivation.
- The numerical SI value of the speed of light is treated as metrological calibration of the derived invariant transport ceiling.

The paper therefore connects a non-preexisting-spacetime construction directly to special relativity, Lorentz symmetry, rapidity, gauge connections, Wilson-line transport, holonomy, quantum field theory, and Collins-Soper evolution.

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