Recent observations of Solidified Light Matter and L-Space Expansion faster than Light are both supported by my proposed research model.

Linking my L-verse/L-space ideas to the theoretical content of the paper “Memoir on the Theory of Relativity and Unified Field Theory” by Lev I. Verkhovsky, and how the two concepts could be seen as aligned or complementary.

Note: Verkhovsky’s paper discusses generalized Lorentz transformations with a scale factor and a Doppler-related scaling interpretation.

The L-verse/L-space model (by David Allan Linde, 2025) posits a universe defined by coherent interference patterns of underlying fundamental constructs, with space, time, and constants emergent from those patterns.

The following explaination attempts to map concepts where a conceptual resemblance exists as well as where direct overlap is plausible or speculative.

1. Core ideas in each framework

L-verse / L-space (David Allan Linde, 2025)

The universe (L-verse) emerges from coherent superposition and interference of underlying coherent fundamental constructs.

Space and time are emergent properties of interference patterns; constants (e.g., speed of light) arise from these patterns.

Multiple L-verses could exist with distinct properties.

A field-theoretic formalism: underlying waves, interference patterns, emergent metric, possible holographic connections, and experimental probes.

Generalized relativity framework (Verkhovsky, 2018/2020)

Lorentz transformations with a scale factor (v η) are considered, not simply set to unity.

The scale factor relates to Doppler-like changes in scale, affecting lengths and times (a “scale” transformation in addition to the standard Lorentz transformation).

A reinterpretation of simultaneity, Doppler effect, and their impact on spacetime structure.

The Doppler-induced scale changes can reconcile apparent paradoxes in STR and suggest a pathway toward a unified field theory.

2. Conceptual correspondences

Emergent spacetime from underlying structure

L-verse: Spacetime geometry is an emergent feature of interference patterns (the metric is a functional of the pattern and its derivatives).

Verkhovsky: The Doppler-scale factor (v η) modifies measurements and can be interpreted as a geometric-scale transformation in addition to standard Lorentzian structure. The idea that geometry can be shaped by more fundamental scaling effects resonates with emergent-geometry thinking.

Foundational role of a wave-like substrate

L-verse: A fundamental wave field gives rise to all observed phenomena through interference.

Verkhovsky: The transformations of spacetime involve underlying dynamical scales (through the Doppler-inspired factor) that can be viewed as a field-like description of how measurements transform between frames.

Nonlinearity and effective geometry

L-verse: Nonlinear wave dynamics can yield localized structures that manifest as matter and curvature.

Verkhovsky: The scale factor D (Doppler-related) can modify geometry and kinematics, suggesting a way that more complex (nonlinear) effects could reshape effective spacetime perceptions.

Holographic/boundary perspectives

L-verse: Mentions possible holographic connections (AdS/CFT-inspired ideas) where boundary interference encodes bulk geometry.

Verkhovsky: While not explicitly holographic, the discussion of scale transformations and their global impact on measurements aligns with the notion that deeper, perhaps boundary-influenced structures can determine observed physics.

Multiple realizations of reality (multiverse-like concept)

L-verse: The framework allows for multiple L-verses with distinct properties.

Verkhovsky: The motivation to revise foundational transformations and consider alternative scaling could be seen as enabling different “realizations” of relativistic physics in alternative conditions (e.g., different Doppler-scale mappings).

3. Technical points that bridge the two perspectives

Scale factor in transformations

Verkhovsky introduces a general Lorentz transformation with a scale factor η (and a Doppler-like scale D). This factor changes how space and time coordinates transform between frames, not just their ratio but also their scale.

Implication for L-space: If the L-space framework allows the underlying field to induce effective scale changes in measurements, this aligns with the idea that observed constants and geometry can depend on deeper interference patterns.

Doppler effect as a fundamental scale mechanism

In the paper, Doppler shifts are treated as genuinely altering scales (wavelengths, periods) that feed into the geometry.

In the L-verse model, the entire fabric of space and time is built from interference patterns whose scale and phase determine emergent properties.

Connection: Doppler-induced scale changes can be interpreted as a specific manifestation of how underlying coherent constructs set local scales, echoing the L-verse view that observed constants arise from pattern properties.

Emergent geometry from waveial constructs

Verkhovsky’s discussion suggests that a correct interpretation of Lorentz-type transformations should lead to meaningful geometry once scale factors are accounted for.

The L-verse treats geometry (metric) as a derived object from an interference landscape.

Alignment: Both narratives treat geometry as not merely imposed but arising from deeper field/construct properties.

4. How the L-verse model could be informed by or compatible with the Verkhovsky perspective

If you want a dialogue between the two:

Treat the L-verse interference pattern as the underlying field that sets local scale factors for spacetime measurements. In this sense, η and D-like quantities could be interpreted as emergent, pattern-dependent scales rather than fixed constants.

Use a similar mathematical motif: express the emergent metric as a functional of the interference amplitude and its derivatives, analogous to how Verkhovsky associates changes in scale with the observed geometry.

Consider a generalized transformation law for observers in the L-verse that includes a Doppler-like scale factor dependent on the local interference pattern. This would parallel the paper’s claim that scale affects coordinate transformation.

Propose testable predictions where local variations in the interference pattern (e.g., due to strong gravitational or quantum-optical environments) produce measurable changes in effective constants or propagation speeds, consistent with both frameworks.

5. Practical steps to integrate the ideas

Develop a common mathematical language:

Define a complex interference field Ψ(x, t) as the fundamental substrate.

Express the emergent metric gμν in terms of |Ψ|, its phase, and derivatives, e.g., gμν = ημν + Fμν(|Ψ|, ∂|Ψ|, ∂²|Ψ|, …).

Introduce a Doppler-like scale factor D(Ψ) that modulates lengths and times in a frame transformation, akin to the η-scale in Verkhovsky’s work.

Build a concrete toy model:

Start with a simple two-wave interference example to illustrate how local intensity maxima define curvature-like features.

Compute an emergent line element ds² from the interference pattern and show how small changes in Ψ alter ds² and effective propagation speeds.

Outline experimental tests:

High-precision astrophysical observations looking for spatial/temporal variations in constants that could track with hypothesized interference-pattern changes.

Quantum-optical experiments designed to test whether controlled changes in interference patterns can mimic small Lorentz-violating shifts.

6. Caveats and scope

The Verkhovsky paper is a historical/philosophical/ambitious program on reinterpreting Lorentz transformations with a scale factor, not a fully established experimental theory. The L-verse model is a modern, constructive framework with explicit fields and equations.

Any attempt to fuse the two should be done with clarity about assumptions, ensuring mathematical consistency (e.g., causality, gauge freedom, Lorentz invariance in emergent regimes, etc.).

Predictions must be falsifiable and precision-tested to distinguish these ideas from standard relativity and quantum field theory.

Summary

There is a conceptual resonance between the L-verse idea that spacetime, constants, and physics emerge from underlying coherent interference patterns and Verkhovsky’s proposal that scale factors (related to Doppler effects) play a foundational role in the transformation laws of spacetime.

Both frameworks treat geometry and measurement as potentially emergent or pattern-dependent rather than fixed a priori.

A productive path is to formalize a common mathematical structure where the L-verse interference field determines a scale factor and an emergent metric, mirroring Verkhovsky’s Doppler-scale interpretation, and then derive testable predictions that could bridge the two theories.

@LevVerkhovsky