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\title{No Carrier Needed: Photon Instructions as Direct Energy State Transfers Without Propagation}
\author{John C. W. McKinley \orcidlink{0009-0005-7097-5035}}
\date{August 1, 2025}
\begin{document}
\maketitle
\blfootnote{This version v1.0 published at \href{https://doi.org/10.5281/zenodo.16666652}{https://doi.org/10.5281/zenodo.16666652}.}
\begin{abstract}
This paper extends the Timeless Light Model (TLM) by clarifying the functional role of the photon once it has been ontologically reclassified as a timeless instruction. We argue that the photon does not transmit energy through space, nor does it propagate between source and detector. Instead, it serves as a declarative linkage---an instruction issued from a pre-spatiotemporal substrate we call the Quantum Platform (QP)---that simultaneously updates the energy states of two mass-bound systems. This reinterpretation eliminates the need for an in-universe carrier, resolving paradoxes of wave-particle duality, delayed-choice interference, and apparent retrocausality. Under this framework, energy does not travel; it is reconfigured across endpoints through a pre-resolved, causally complete instruction arc. We revisit Planck's relation $E = h\nu$ and show that frequency need not imply motion or oscillation, but instead reflects a rendering pattern that emerges from spacetime delay. The result is a causally consistent, propagation-free model of photon-mediated interaction that challenges the necessity of field-based intermediaries and reframes foundational assumptions of both quantum mechanics and general relativity.
\end{abstract}
\tableofcontents
\section{Introduction}
In standard physics, the photon is treated as a quantized carrier of energy---a massless excitation of the electromagnetic field that propagates at the invariant speed $c$. From this interpretation arises a powerful and predictive framework: quantum electrodynamics (QED), which quantifies photon exchange between particles, and general relativity (GR), which constrains photon motion to null geodesics. Yet, despite the formal success of these models, the ontological picture they imply has long been unstable. A photon has no proper time, no rest frame, no volume, and cannot be localized in any meaningful way. Still, it is said to ``travel'' from source to detector. This contradiction fuels the persistent paradoxes of wave-particle duality, apparent retrocausality in delayed-choice experiments, and the troubling implications of nonlocal entanglement.
In a recent paper~\cite{mckinley_light_absent}, we proposed a radical reframing: the photon does not exist in the universe at all. It does not move, oscillate, or propagate. It is a timeless causal instruction defined on a pre-spatiotemporal substrate---the Quantum Platform (QP)---which determines the co-rendering of two events in the Spacetime Deployment Frame (SDF). In this view, the photon is not a thing that travels, but a link that declares: energy has changed here, and there, according to this instruction.
The present work builds directly on that foundation, shifting from ontological reclassification to functional analysis. We ask: if the photon is not a particle in motion, what does it do? What remains of its role in quantized energy exchange, in conservation laws, and in the structure of electromagnetic interaction?
We argue that the photon serves as a declarative mechanism of energy state transition. It does not carry energy from A to B, but instead simultaneously updates the energy configuration of two mass-bearing systems, such that the rendered outcomes in spacetime appear consistent with traditional exchange. The ``transfer'' of energy is not a movement---it is an update across endpoints defined by the instruction $I(A, B) \in \mathrm{QP}$. This perspective not only preserves the empirical predictions of QED and GR but dissolves the paradoxes that arise from trying to reconcile motion with timelessness. Frequency, in this context, becomes an emergent pattern of delay---not a vibration in a medium. Light, as such, is not in the universe. Only its consequences are.
In what follows, we formalize this framework, reinterpret the meaning of $E = h\nu$, examine the implications for field theory and thermodynamics, and identify testable predictions that could distinguish this instruction-based model from its traditional, propagation-bound counterpart.
\section{From Transfer to Transition: Rethinking Energy Exchange}
In conventional physics, a photon is described as a carrier of energy---a discrete quantum of the electromagnetic field that travels from an emitter to an absorber, delivering energy $E = h\nu$ in the process. This model, while effective for calculations, assumes a medium-like transit even while denying that the photon has mass, proper time, or localization. The contradiction is subtle but significant: if the photon does not exist in time, then it cannot carry anything across time.
The Timeless Light Model (TLM) rejects this notion. In TLM, the photon does not transfer energy through space---it facilitates a transition between energy states of two mass-bearing systems. An instruction $I(A, B) \in \mathrm{QP}$ serves not as a delivery vehicle, but as a declarative link: it defines a pairwise energy update such that the rendered SDF observer experiences a consistent net exchange.
\begin{quote}
\textit{The photon does not move energy from A to B; it declares that the energy at A and B has changed, together.}
\end{quote}
This reformulation turns the act of energy exchange into a state pairing, not a transit event. The instruction is timeless---it resides outside spacetime and is pre-resolved on the Quantum Platform. Only its endpoints A and B are ever rendered into the Spacetime Deployment Frame, each with their respective mass and energy states before and after the instruction. This has immediate consequences for conservation laws. Energy is not conserved via transport across a null path, but through symmetrical constraint at both ends of an instructional arc. There is no moment when the energy is ``in the photon.'' Rather, conservation is enforced by the global consistency of the rendered instruction.
\section{Emission and Absorption as Co-defined Events}
In the classical view, photon emission and absorption are two temporally distinct events: first, a system loses energy and emits a photon; later, another system gains energy by absorbing it. This sequential causality implies a particle in motion---something that exists between those two events. Yet this logic collapses when applied to a photon with zero proper time. There is no between. There is no motion. The supposed traveling particle has no internal history, no evolving state, and no frame in which to experience transit.
The TLM offers a corrective. It treats emission and absorption not as independent or sequential, but as co-defined endpoints of a single causal instruction $I(A, B)$ from the Quantum Platform. In this framework:
\begin{itemize}
\item The instruction $I(A, B)$ exists timelessly---it contains both endpoints simultaneously as a pre-resolved causal linkage.
\item Emission and absorption are not temporally ordered from the instruction's perspective. They are jointly specified outcomes rendered into the observer's frame with apparent delay.
\item The appearance of sequentiality arises only due to the rendering constraints of the SDF, not from any physical propagation.
\end{itemize}
\begin{quote}
\textit{There is no emission until there is absorption. There is no absorption unless the instruction already links it to an emission.}
\end{quote}
This symmetry resolves several outstanding interpretive issues. For instance, consider the traditional puzzle: how does a photon ``know'' where it will be absorbed? In quantum optics, this leads to discussions of retrocausality, pilot waves, or advanced potentials. In TLM, the problem never arises. The instruction $I(A, B)$ is not an evolving wave or particle---it is a timeless declaration. Both points are encoded from the outset, as illustrated in \Cref{fig:instruction}.
\begin{figure}[h]
\centering
\begin{tikzpicture}[
node distance=1.2cm and 2.2cm,
box/.style={draw, rounded corners, minimum width=2.4cm, minimum height=1cm, align=center},
qpbox/.style={draw, dashed, rounded corners, inner sep=10pt},
sdfbox/.style={draw, dotted, rounded corners, inner sep=10pt},
arrow/.style={-Latex, thick}
]
\node[box] (I) {Instruction $I(A,B)$};
\node[qpbox, fit=(I), label=above:{Quantum Platform (QP)}] (qp) {};
\node[box, below left=2.2cm and 0.5cm of I] (A) {$A$\\$E_A \rightarrow E'_A$};
\node[box, below right=2.2cm and 0.5cm of I] (B) {$B$\\$E_B \rightarrow E'_B$};
\begin{scope}[on background layer]
\node[sdfbox, fit=(A)(B), label=below:{Spacetime Deployment Frame (SDF)}] (sdf) {};
\end{scope}
\draw[arrow] (I) -- node[midway, left, font=\small] {Rendering} (A);
\draw[arrow] (I) -- node[midway, right, font=\small] {Rendering} (B);
\end{tikzpicture}
\caption{Under the TLM, a photon is not a traveling particle. It is a timeless instruction $I(A, B)$ defined on the Quantum Platform (QP), linking two mass-bearing systems. The instruction causes simultaneous energy updates $E_A \to E'_A$ and $E_B \to E'_B$ without any in-universe propagation. The ``photon'' never enters the Spacetime Deployment Frame (SDF); only its rendered effects do.}
\label{fig:instruction}
\end{figure}
\section{Planck's Relation Reinterpreted: \texorpdfstring{$E = h\nu$}{E = hv} Without a Carrier}
Planck's relation $E = h\nu$ is foundational to quantum mechanics. Conventionally, this is understood to mean that the photon ``has'' an energy $E$ and ``oscillates'' with frequency $\nu$ as it propagates. But this picture breaks down under scrutiny. A photon, being massless, has no rest frame. It experiences no time, no internal phase, and no oscillation. The idea that a photon ``vibrates'' is a projection from classical analogies; it cannot physically oscillate in time because it has no temporal interior.
TLM reframes this issue. The photon is a timeless instruction, so $\nu$ cannot represent a vibration. Instead, it emerges from the rendering pattern imposed by the SDF.
\begin{quote}
\textit{Frequency is not how often something oscillates. It is how finely spaced the rendered energy transitions appear to an observer.}
\end{quote}
This reinterpretation is rooted in the idea that all observed periodicity is a manifestation of delay patterns in the rendering of QP instructions. What we interpret as wave behavior---interference, diffraction, coherence---arises from the structure of delay gradients, not from in-universe oscillations. Thus, in TLM:
\begin{itemize}
\item $E = h\nu$ remains valid, but $\nu$ reflects the inverse of the rendering delay, $\nu = 1/T_{AB}$.
\item The energy $E$ is not carried by an object but manifests as a quantized difference in the mass-energy state of the emitter and absorber.
\item Planck's constant $h$ acts as the fundamental conversion factor linking delay-patterned deployment to observable energy exchange.
\end{itemize}
In sum, Planck's relation is preserved in value but radically reframed in meaning. There is no vibrating particle or moving wave, only a pre-resolved instruction and its delayed manifestation in the SDF.
\section{The Role of the Quantum Platform in Energy Reconfiguration}
If the photon is an instruction, where is that instruction stored, resolved, and governed? In TLM, this role is played by the Quantum Platform (QP)---a timeless, non-spatiotemporal substrate that houses all causal instructions prior to their rendering. The QP is not a background field or a hidden variable structure. It is a logical necessity: a realm where all interactions are encoded as pre-resolved, acausal links. It contains all Causal Instruction Arcs (CI-ARCs), each representing a direct relation between events. These arcs are not trajectories---they are declarations of paired outcomes.
\begin{quote}
\textit{Energy is not moved. It is reconfigured across endpoints, governed by a pre-resolved instruction outside time.}
\end{quote}
The QP maintains global consistency. No instruction is rendered unless it obeys conservation laws across its endpoints---energy, momentum, charge, and spin. These are not enforced by interaction in spacetime but by admissibility at the QP level. This reconfiguration-based view dissolves long-standing puzzles:
\begin{itemize}
\item \textbf{Where is the energy between emission and absorption?} Nowhere. It is not in flight---it is in instruction.
\item \textbf{Why does interference persist when ``which-path'' information is erased?} Because the instruction is holistically defined at the QP level; only the delay structure determines the rendered outcome.
\item \textbf{How can conservation be upheld without a medium?} Because the QP enforces balance at the level of instruction admissibility, not physical transit.
\end{itemize}
The entire class of field-theoretic intermediaries---virtual photons, exchange bosons, propagators---can be reinterpreted not as physical events, but as projection artifacts of SDF rendering logic. What appears as mediation is, in TLM, simply delay-deployed correlation.
\section{Consequences for Quantum Field Theory}
Quantum Field Theory (QFT) describes photons as quantized excitations of the electromagnetic field---a mathematical formalism with unparalleled predictive power. Yet QFT provides little ontological clarity about what a photon is or where it exists between interactions. The field propagates through spacetime, but the photon has zero proper time.
TLM retains the formal predictive power of QFT while revising its ontological commitments. In TLM:
\begin{itemize}
\item There are no propagating field excitations in spacetime.
\item No intermediate state ``travels'' from emitter to absorber.
\item Interactions are not mediated---they are declared, as resolved instruction arcs $I(A, B) \in \mathrm{QP}$.
\end{itemize}
This shift dissolves the distinction between ``real'' and ``virtual'' photons: neither are entities in motion. Both are causal declarations manifest only at their endpoints. What QFT interprets as exchange via propagators is, in TLM, the statistical pattern of rendered outcomes from a consistent instruction set.
\begin{quote}
\textit{TLM does not dispute the math of QFT---it reinterprets its causal structure.}
\end{quote}
Specifically, Feynman diagrams become visualization tools for possible instruction arcs, not literal particle paths. Gauge invariance and symmetries remain intact, now viewed as constraints on the QP's instruction architecture rather than properties of a local field. This reinterpretation resolves tensions such as apparent causality violations in entanglement and self-interaction paradoxes without modifying the successful Lagrangian formalism of QFT.
\section{Implications for Thermodynamics and Entropy}
Traditional thermodynamics relies on assumptions about state evolution through time and the movement of energy. In TLM, where no energy ``moves,'' we must reinterpret these concepts. Entropy becomes not a property of evolving states, but a measure of the instructional degeneracy---the number of admissible causal arcs that could link given initial and final configurations.
\begin{quote}
\textit{Entropy is not a measure of missing information. It is a measure of how many timeless instructions could be rendered from a given state.}
\end{quote}
In this view, the second law of thermodynamics becomes a statement about QP deployment: as delay increases, more branches of instruction arcs become renderable. Entropy grows not because disorder increases, but because the QP-SDF interface admits more symmetric renderings over time. This connects naturally with black hole thermodynamics, where entropy scales with surface area. The event horizon may define the boundary of admissible instruction rendering, and the Bekenstein--Hawking relation $S = k_B A / (4 \ell_p^2)$ may express the number of QP renderings available at that boundary. The arrow of time itself becomes a reflection of increasing access to renderable QP arcs.
\section{Experimental Implications and Predictions}
While TLM is consistent with existing experimental results, it offers observably distinct consequences in certain domains. The key difference lies in the non-existence of an intermediate photon state.
\begin{itemize}
\item \textbf{Absence of Intermediate States:} TLM predicts that weak measurements will fail to find any trace of a photon ``in transit.'' Any observed signature will correlate only with mass-bearing endpoints, not with path evolution.
\item \textbf{Delay-Dependent Entanglement:} Entanglement correlations should remain invariant under extreme temporal separation, as there is no signal decay due to distance, only potential decoherence due to instruction boundary interference.
\item \textbf{Local Absorber Sensitivity:} In ultra-sensitive calorimetric experiments, no ``invisible energy loss'' from blocked photons should be detected in the intervening space, no matter how sensitive the apparatus. Energy is never present unless both endpoints are resolved.
\item \textbf{The Falsifiable Null Hypothesis:} The model is decisively falsified if a photon is ever observed without a corresponding absorption event. In TLM, if absorption is impossible, emission never occurred.
\end{itemize}
These predictions offer a clear path toward experimentally distinguishing the instructional model from traditional field-based accounts.
\section{Derivations and Formalism}
To ground the TLM in a quantitative framework, we outline its core formalisms.
\subsection{Instructional Energy-Delay Relation}
Planck's relation $E = h\nu$ is reinterpreted by defining frequency as the inverse of the rendering delay $T_{AB}$ between the instruction's endpoints, as measured in an observer's frame.
\begin{equation}
\nu \equiv \frac{1}{T_{AB}} \quad \Longrightarrow \quad E = \frac{h}{T_{AB}}
\end{equation}
This equation defines the quantized energy exchange as a direct function of the rendering delay, eliminating the need for an oscillating carrier.
\subsection{Endpoint Conservation}
For an instruction $I(A, B)$, the energy states before and after rendering must satisfy a symmetric conservation constraint:
\begin{equation}
E_A^{\text{after}} + E_B^{\text{after}} = E_A^{\text{before}} + E_B^{\text{before}}
\end{equation}
This replaces dynamical propagation with a boundary condition matching across resolved endpoints, with no intervening energy storage or transit.
\subsection{The Null Interval as a Rendering Constraint}
The spacetime interval $\Delta s^2 = -c^2 \Delta t^2 + \Delta x^2 = 0$ is not the path of a photon. It is a geometric constraint on the QP: only instruction arcs whose endpoints A and B satisfy this null condition are admissible for rendering as light-like events in the SDF. The photon does not traverse a geodesic; its instruction endpoints define one.
\section{Conclusion: The End of Carriers}
The Timeless Light Model challenges one of the most foundational assumptions in physics: that energy moves. In the traditional picture, a photon is a carrier. In TLM, it is a declaration. It is a timeless causal instruction, defined on a non-spatiotemporal Quantum Platform, which governs the synchronized energy state update of two mass-bound systems. What we interpret as ``light'' is the delayed rendering of this instruction into the Spacetime Deployment Frame.
\begin{quote}
\textit{There is no light in the universe. There are only its consequences.}
\end{quote}
This reframing does not discard the equations of QFT or GR---it re-grounds them. Planck's relation $E = h\nu$ is preserved in form but reinterpreted: frequency is a delay rhythm, not a vibration; energy is a relational constraint, not a payload. Emission and absorption are co-defined events. Wave-particle duality vanishes, as the wave is not a property of a photon but an artifact of rendering. The universe, in this view, is not a collection of moving things. It is the progressive rendering of timeless declarations---each instruction an invisible handshake between what was and what will be. The field is not fundamental. The instruction is.
\appendix
\section*{Appendix A: Glossary of Terms}
\addcontentsline{toc}{section}{Appendix A: Glossary of Terms}
\begin{description}
\item[Causal Instruction Arc (CI-ARC)] A timeless, pre-resolved instruction, denoted as $I(A, B)$, that resides on the Quantum Platform. It serves as a direct, acausal link between two mass-bound systems (A and B), defining their simultaneous energy state changes without any in-universe propagation.
\item[Declared Transfer] The concept that energy exchange occurs not via physical transit of a carrier, but as a simultaneous update of energy states at two distinct endpoints, enforced by a CI-ARC.
\item[Quantum Platform (QP)] The proposed non-spatiotemporal, timeless substrate that contains the complete set of all possible Causal Instruction Arcs. The QP acts as a pre-causal validator, ensuring all instructions adhere to global conservation laws before they are eligible for rendering.
\item[Rendering (or Deployment)] The process by which a timeless instruction from the QP is manifested as observable events within the Spacetime Deployment Frame. Rendering unfolds with a specific delay structure, creating the appearance of time, motion, and propagation.
\item[Spacetime Deployment Frame (SDF)] The observable universe; a (3+1)-dimensional manifold into which instructions from the QP are rendered. The SDF is not fundamental reality but the ``screen'' on which pre-resolved causal relationships are displayed.
\item[Timeless Light Model (TLM)] The theoretical framework positing that photons are not carrier particles but timeless instructions. All phenomena associated with light are emergent properties of the rendering process, not intrinsic features of a propagating entity.
\end{description}
\begin{thebibliography}{99}
\bibitem{einstein1905} A.~Einstein, ``On the Electrodynamics of Moving Bodies,'' \textit{Annalen der Physik} \textbf{17}, 891--921 (1905).
\bibitem{feynman_qed} R.~P.~Feynman, \textit{QED: The Strange Theory of Light and Matter}, Princeton University Press (1985).
\bibitem{planck1901} M.~Planck, ``On the Law of Distribution of Energy in the Normal Spectrum,'' \textit{Annalen der Physik} \textbf{4}, 553--563 (1901).
\bibitem{schwinger1951} J.~Schwinger, ``On Gauge Invariance and Vacuum Polarization,'' \textit{Phys. Rev.} \textbf{82}, 664 (1951).
\bibitem{peskin_schroeder} M.~Peskin and D.~Schroeder, \textit{An Introduction to Quantum Field Theory}, Westview Press (1995).
\bibitem{rovelli2004} C.~Rovelli, \textit{Quantum Gravity}, Cambridge University Press (2004).
\bibitem{caticha2011} A.~Caticha, ``Entropic Dynamics, Time and Quantum Theory,'' \textit{J. Phys. A: Math. Theor.} \textbf{44}, 225303 (2011).
\bibitem{lloyd2005} S.~Lloyd, ``The Universe as Quantum Computer,'' arXiv:quant-ph/0501135 (2005). \href{https://arxiv.org/abs/quant-ph/0501135}{arXiv:quant-ph/0501135}
\bibitem{tegmark2008} M.~Tegmark, ``The Mathematical Universe,'' \textit{Found. Phys.} \textbf{38}, 101--150 (2008).
\bibitem{bostrom2003} N.~Bostrom, ``Are You Living in a Computer Simulation?'' \textit{Philos. Q.} \textbf{53}, 243--255 (2003).
\bibitem{mckinley_light_absent} J.~C.~W.~McKinley, ``Light as Absent: Reclassifying the Photon as a Timeless Instruction,'' Zenodo (2025). \href{https://doi.org/10.5281/zenodo.16627550}{doi:10.5281/zenodo.16627550}
\bibitem{mckinley_ciarcs} J.~C.~W.~McKinley, ``Causal Instruction Arcs and the Timeless Light Model: A Unified Framework for Physics and Cosmology,'' Zenodo (2025). \href{https://doi.org/10.5281/zenodo.15813253}{doi:10.5281/zenodo.15813253}
\bibitem{mckinley_axioms} J.~C.~W.~McKinley, ``Axioms \& Formulas from 60 Papers, Version 2.3,'' Zenodo (2025). \href{https://doi.org/10.5281/zenodo.16187719}{doi:10.5281/zenodo.16187719}
\bibitem{wheeler1978} J.~A.~Wheeler, ``The `Past' and the `Delayed-Choice' Double-Slit Experiment,'' in \textit{Mathematical Foundations of Quantum Theory}, ed. A.~R.~Marlow, Academic Press, pp. 9--48 (1978).
\bibitem{wang2025} X.~Wang et al., ``Wave-Particle Duality Ellipse and Application in Quantum Imaging,'' arXiv:2505.21443 [quant-ph] (2025). \href{https://arxiv.org/abs/2505.21443}{arXiv:2505.21443}
\bibitem{barbosa2025} F.~Barbosa et al., ``Wave/Particle Duality of Photons as Addressed in Monitored Jaynes--Cummings Resonances,'' arXiv:2507.05837 [quant-ph] (2025). \href{https://arxiv.org/abs/2507.05837}{arXiv:2507.05837}
\end{thebibliography}
\end{document}