# Preferred Frame Pre-Prints [Home](/) · [README.md](/README.md.html) · [Contact Us](/contact%20us.md.html) --- [/ ](../) [📂 _drafts /](./) - 📂 [A Cause-Effect Model for Emergent Time and Distance](A%20Cause-Effect%20Model%20for%20Emergent%20Time%20and%20Distance/) - 📂 [Causal Analytic Continuation: An Axiom Scheme](Causal%20Analytic%20Continuation:%20An%20Axiom%20Scheme/) - 📂 [Clarifying excitation, charge, and the full eigen-problem](Clarifying%20excitation%2C%20charge%2C%20and%20the%20full%20eigen-problem/) - 📂 [Dark Matter as Orthogonal Energy Flow in a Topological Mode of Electrodynamics](Dark%20Matter%20as%20Orthogonal%20Energy%20Flow%20in%20a%20Topological%20Mode%20of%20Electrodynamics/) - 📂 [Effective Nonlinearity in Linear Maxwell - Polarization in Free Space](Effective%20Nonlinearity%20in%20Linear%20Maxwell%20-%20Polarization%20in%20Free%20Space/) - 📂 [Interference as Polarization: The Electromagnetic Field as Its Own Medium](Interference%20as%20Polarization:%20The%20Electromagnetic%20Field%20as%20Its%20Own%20Medium/) - 📂 [On the Causality of Natural Numbers](On%20the%20Causality%20of%20Natural%20Numbers/) - 📂 [Relational Formulation of Electromagnetism from a Scalar Energy Field](Relational%20Formulation%20of%20Electromagnetism%20from%20a%20Scalar%20Energy%20Field/) - 📂 [Why a Cause Has Effects - The PNP Theory of Cause and Effect](Why%20a%20Cause%20Has%20Effects%20-%20The%20PNP%20Theory%20of%20Cause%20and%20Effect/) - 📄 [Reply to "Experiment to observe an optically induced change of the vacuum index" (Robertson et al., Phys. Rev. A 103, 023524 (2021)) - Re-examination using structured electromagnetic fields.md](/_drafts/Reply%20to%20%22Experiment%20to%20observe%20an%20optically%20induced%20change%20of%20the%20vacuum%20index%22%20%28Robertson%20et%20al.%2C%20Phys.%20Rev.%20A%20103%2C%20023524%20%282021%29%29%20-%20Re-examination%20using%20structured%20electromagnetic%20fields.md.html) ([[Raw](/_drafts/Reply%20to%20%22Experiment%20to%20observe%20an%20optically%20induced%20change%20of%20the%20vacuum%20index%22%20%28Robertson%20et%20al.%2C%20Phys.%20Rev.%20A%20103%2C%20023524%20%282021%29%29%20-%20Re-examination%20using%20structured%20electromagnetic%20fields.md)] [[GH](https://github.com/siran/research/blob/main/_drafts/Reply%20to%20%22Experiment%20to%20observe%20an%20optically%20induced%20change%20of%20the%20vacuum%20index%22%20%28Robertson%20et%20al.%2C%20Phys.%20Rev.%20A%20103%2C%20023524%20%282021%29%29%20-%20Re-examination%20using%20structured%20electromagnetic%20fields.md)]) --- - [Preferred Frame Pre-Prints's on GitHub.com](https://github.com/siran/research) - Back to main journal: [Preferred Frame](https://preferredframe.com) (built: 2025-12-08 12:22 EST UTC-5)