Relativity and Causality
Determine whether the transverse, longitudinal, and phase-related HGUT modes unify into one observable causal cone, decouple consistently, or produce falsifying Lorentz violations.
The Problem
The parent HGUT field theory contains characteristic speeds commonly labeled c_T, c_L, and c_phi. Different speeds are not automatically fatal, but the theory must explain which modes are observable, how they couple to matter, whether any are gapped or confined, and why measured physics exhibits an extremely accurate Lorentz cone.
Scientific Importance
Unresolved multiple propagation speeds threaten causality, Lorentz closure, gravitational-wave behavior, and the consistency of the matter and light sectors.
Progress Ledger
The transverse mode has been identified as protected in the current analysis.
The coupled scalar-longitudinal sector contains a slow and a stiff branch.
Background stability requires a nontrivial inequality among the couplings.
Simple stiffness does not suppress a mode, and the universal-cone condition remains open.
Pass-or-Fail Structure
Every gate must be addressed before this problem can be considered closed. Partial success does not establish the complete identification.
Derive all characteristic speeds and gaps on relevant backgrounds.
Determine which modes couple to clocks, rods, particles, and detectors.
Find an exact or emergent mechanism producing one observable causal cone.
If modes remain distinct, prove why excluded signals cannot be generated.
Exclude ghosts, gradient instabilities, runaway growth, and pathological backgrounds.
Convert any residual cone splitting into measurable constraints.
Definition of Success
This problem closes only when the following conditions are satisfied together.
The complete linear and nonlinear characteristic structure is derived.
Every mode's coupling to observables is identified.
A universal cone or experimentally acceptable decoupling mechanism is demonstrated.
The allowed parameter region is stable and positive-energy.
Matter, light, and gravity predictions remain mutually consistent.
Residual deviations are compared quantitatively with experiment.
Prerequisites
Open Collaboration
Connected Research
Relativity and Causality
Derive one operational Lorentz symmetry for matter, clocks, rods, phase propagation, and all observable HGUT modes while identifying or eliminating preferred-frame effects.
Time, Gravity, and Transport
Derive the field zeta(x,t) from the underlying medium variables and establish how strain, energy density, transport capability, and local clock progression determine its evolution.
Light and Transport
Derive light completely as a transported HGUT process, including propagation, polarization, energy and momentum flow, interference, emission, absorption, and quantized exchange.
The Question Remains Open
Successful arguments, failed attempts, independent simulations, corrections, and falsifying evidence all move the research program forward.
