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\title{The ``No Mid-Flight Energy'' Principle: Operational Consistency and Ontological Implications for the Timeless Light Model (TLM)}
\author{John C. W. McKinley\orcidlink{0009-0005-7097-5035}\\Independent Researcher}
\date{September 1, 2025}
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\footnotetext[1]{This version published at
\href{https://doi.org/10.5281/zenodo.17018871}{https://doi.org/10.5281/zenodo.17018871}.}
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\begin{abstract}
We examine the principle that there is no accessible store of usable energy in the ``mid-flight'' path of a single photon between emission and absorption. This operational fact, evident in standard quantum mechanics and electromagnetism, aligns closely with the Timeless Light Model (TLM), a relational interpretation where photons are timeless instructions binding emitter and absorber events rather than propagating entities \cite{mckinley2025tlm}. We argue that TLM provides a simpler ontology for this principle, eliminating the need for in-transit energy carriers. While not a definitive proof, this consistency strengthens TLM as a viable alternative to standard interpretations, with potential implications for redshift, entanglement, and conservation in curved spacetimes. We incorporate mathematical formulations from TLM and connections to the Wheeler-Feynman absorber theory.
\end{abstract}
\section{Introduction}
In quantum mechanics, the energy of a single photon is delivered in an all-or-nothing manner at detection, with no partial extraction possible without terminating the process. This ``no mid-flight energy'' principle---that usable energy cannot be tapped from a photon in transit without becoming the absorber---is a well-established operational reality in laboratories. However, standard interpretations posit a propagating wave or field excitation carrying energy through space.
The Timeless Light Model (TLM) reinterprets this by treating the ``photon'' as a timeless relational instruction that enforces energy conservation directly between emission and absorption events, without an intervening carrier \cite{mckinley2025tlm}. In TLM, spacetime is a deployment frame (SDF) where relations appear delayed, but the instruction itself is atemporal. This model draws roots from the Wheeler-Feynman absorber theory \cite{wheeler1945} and the Transactional Interpretation of Quantum Mechanics (TIQM) \cite{cramer1986}, emphasizing time-symmetric interactions.
This paper explores how the no mid-flight energy principle emerges naturally in TLM, aligns with standard physics, and offers ontological advantages. We discuss alignments, differences, and potential experimental checks, suggesting TLM as a parsimonious framework for quantum optics and beyond \cite{mckinley2025review}.
\section{The ``No Mid-Flight Energy'' Principle in Standard Physics}
\subsection{Classical Electromagnetism}
In classical EM, energy density is stored in fields via \( u = \frac{1}{2} (\epsilon_0 E^2 + \mu_0 H^2) \), with flow given by the Poynting vector \( \mathbf{S} = \mathbf{E} \times \mathbf{H} \). This describes ensembles of photons or strong fields but does not apply directly to single quanta.
\subsection{Quantum Mechanics for Single Photons}
For a single photon, energy \( E = h f \) is quantized and indivisible. Detection is all-or-nothing, as seen in antibunching experiments. Attempts to extract energy mid-path result in absorption or scattering, collapsing the wavefunction.
Quantum nondemolition (QND) measurements in cavities can infer photon presence without absorption (e.g., via phase shifts on probes), but they extract no usable work from the flying photon. In free space, energy extraction terminates the original path.
\subsection{Redshift and Reference Frames}
In general relativity, photon energy depends on the local frame. Gravitational and cosmological redshifts are not continuous energy losses but frame-dependent measurements. Energy conservation holds locally via stress-energy tensor divergence, but no global ``account'' exists in curved spacetimes.
Thus, standard physics behaves as if mid-flight energy is inaccessible for single quanta, with transfers occurring at interactions.
\section{The Timeless Light Model (TLM)}
TLM posits that quantum ``particles'' like photons are not spatiotemporal objects but timeless instructions linking events \cite{mckinley2025tlm}.
\subsection{Ontology}
A photon is an instruction enforcing an energy decrement at emission and increment at absorption. Time and distance exist only in the SDF; the instruction is outside spacetime, resolving instantaneously in a relational sense. Quanta are frameless state-change ``ticks,'' lacking inherent time or distance \cite{mckinley2025photons}.
\subsection{Endpoint-Only Conservation}
Conservation is enforced across the link, with no energy stored along a ``path'' because no path-traversing object exists. Fields and waves are emergent summaries over ensembles.
\subsection{Frequency and Redshift}
Frequency \( f \) is defined relative to local frames at endpoints. Redshifts arise from frame mismatches upon resolution, not mid-path dissipation \cite{mckinley2025darkenergy}.
\subsection{Mathematical Formulations}
TLM introduces bridge laws such as Mass-Delay Duality:
\begin{equation}
T \cdot m = \frac{\hbar}{c^2},
\end{equation}
relating time delay \( T \) and mass \( m \), and Causal Resolution Constancy:
\begin{equation}
T \cdot C_s = 1,
\end{equation}
ensuring causal order consistency. These imply no mid-flight energy modifications, as changes occur only at endpoints \cite{mckinley2025tlm}.
\subsection{The One-Eyeball Rule}
Each instruction binds to one absorber. Mid-path ``tapping'' rebinds the instruction, preventing partial siphoning.
\section{Connections to Absorber Theory}
TLM shares conceptual roots with the Wheeler-Feynman absorber theory, which uses time-symmetric electromagnetic fields:
\begin{equation}
F = \frac{1}{2} (F^{\text{ret}} + F^{\text{adv}}),
\end{equation}
where \( F^{\text{ret}} \) and \( F^{\text{adv}} \) are retarded and advanced fields. Absorbers ensure the effective field appears causal, aligning with TLM's timeless instructions \cite{wheeler1945}. The Transactional Interpretation extends this to quantum mechanics via offer and confirmation waves \cite{cramer1986}.
\section{Alignments and Differences}
\subsection{Alignments}
Both frameworks prohibit splitting a photon's energy among absorbers. Successful mid-path extraction makes the extractor the absorber, aligning with experimental outcomes.
\subsection{Differences}
Standard QM assumes a propagating excitation with 4-momentum, even if unobservable mid-flight. TLM denies any transporter, treating propagation as an illusion of the SDF. This eliminates ontological baggage like unmeasurable vacuum energy for singles \cite{mckinley2025hilbert}.
\section{Operational Consequences and Tests}
Free-space harvesting of work from a single photon without preventing detection would falsify both, but more severely TLM. QND in cavities is compatible: it tags instructions without extracting work.
Retrocausal experiments (e.g., absorber-dependent emission) could favor TLM. Cosmological applications, like redshift without energy dilution, merit exploration \cite{mckinley2025darkenergy}. Specific tests include lensing residuals, CMB non-Gaussian tails, GW phase micro-steps, and cavity absorber toggling \cite{mckinley2025review, mckinley2025testing}.
\section{Conclusion}
The no mid-flight energy principle is an operational cornerstone that TLM elevates to ontology, offering simplicity without altering predictions. While not proof, it motivates further TLM development for quantum foundations, potentially resolving interpretational puzzles in entanglement and gravity \cite{mckinley2025ontology}.
\begin{thebibliography}{99}
\bibitem{mckinley2025tlm}
J. C. W. McKinley, Timeless Light Model (TLM v2.0): Frameless Quanta, Framed Observers, and Bridge Laws, Zenodo, DOI: 10.5281/zenodo.16934697 (2025).
\bibitem{mckinley2025review}
J. C. W. McKinley, A Review of the Timeless Light Model: Foundations, Derivations, and Empirical Predictions, Zenodo, DOI: 10.5281/zenodo.16958221 (2025).
\bibitem{mckinley2025testing}
J. C. W. McKinley, From Descriptive Laws to Falsifiable Predictions: Testing the Timeless Light Model, Zenodo, DOI: 10.5281/zenodo.17017852 (2025).
\bibitem{mckinley2025darkenergy}
J. C. W. McKinley, Dark Energy as Expansion Within GR: A Timeless Light Model Statement, Zenodo, DOI: 10.5281/zenodo.17010816 (2025).
\bibitem{mckinley2025photons}
J. C. W. McKinley, Photons Not in the Universe: An Axiomatic Derivation from Masslessness and Non-Travel, Zenodo, DOI: 10.5281/zenodo.17010029 (2025).
\bibitem{mckinley2025hilbert}
J. C. W. McKinley, Hilbert Space is the Quantum Platform: Recasting Mathematical Formalism as Ontological Substrate, Zenodo, DOI: 10.5281/zenodo.16976818 (2025).
\bibitem{mckinley2025ontology}
J. C. W. McKinley, Ontology of Matter in the Timeless Light Model: From FRAME–CHARGE Toggles to Particles, Zenodo, DOI: 10.5281/zenodo.16939101 (2025).
\bibitem{wheeler1945}
J. A. Wheeler and R. P. Feynman, Rev. Mod. Phys. 17, 157 (1945).
\bibitem{cramer1986}
J. G. Cramer, Rev. Mod. Phys. 58, 647 (1986).
\end{thebibliography}
\end{document}