% Options for packages loaded elsewhere \PassOptionsToPackage{unicode}{hyperref} \PassOptionsToPackage{hyphens}{url} \PassOptionsToPackage{dvipsnames,svgnames,x11names}{xcolor} % \documentclass[ 10pt, a4paper, ]{article} \usepackage{amsmath,amssymb} \usepackage{setspace} \usepackage{iftex} \ifPDFTeX \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{textcomp} % provide euro and other symbols \else % if luatex or xetex \usepackage{unicode-math} % this also loads fontspec \defaultfontfeatures{Scale=MatchLowercase} \defaultfontfeatures[\rmfamily]{Ligatures=TeX,Scale=1} \fi \usepackage{lmodern} \ifPDFTeX\else % xetex/luatex font selection \setmainfont[]{Noto Serif} \setsansfont[]{Noto Sans} \setmonofont[]{DejaVu Sans Mono} \fi % Use upquote if available, for straight quotes in verbatim environments \IfFileExists{upquote.sty}{\usepackage{upquote}}{} \IfFileExists{microtype.sty}{% use microtype if available \usepackage[]{microtype} \UseMicrotypeSet[protrusion]{basicmath} % disable protrusion for tt fonts }{} \makeatletter \@ifundefined{KOMAClassName}{% if non-KOMA class \IfFileExists{parskip.sty}{% \usepackage{parskip} }{% else \setlength{\parindent}{0pt} \setlength{\parskip}{6pt plus 2pt minus 1pt}} }{% if KOMA class \KOMAoptions{parskip=half}} \makeatother \usepackage{xcolor} \usepackage[margin=22mm]{geometry} \setlength{\emergencystretch}{3em} % prevent overfull lines \providecommand{\tightlist}{% \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} \setcounter{secnumdepth}{-\maxdimen} % remove section numbering \ifLuaTeX \usepackage[bidi=basic]{babel} \else \usepackage[bidi=default]{babel} \fi \babelprovide[main,import]{american} \ifPDFTeX \else \babelfont{rm}[]{Noto Serif} \fi % get rid of language-specific shorthands (see #6817): \let\LanguageShortHands\languageshorthands \def\languageshorthands#1{} \usepackage{amsmath,amssymb,mathtools} \usepackage{booktabs,longtable,array} \usepackage{fancyhdr} \usepackage{microtype} \setlength{\emergencystretch}{3em} \setlength{\headheight}{15pt} \renewcommand{\arraystretch}{1.13} \pagestyle{fancy} \fancyhf{} \fancyhead[L]{\small\sffamily NOEMACRYST-ISOPHASE} \fancyhead[R]{\small\sffamily Research release 6.0.0} \fancyfoot[C]{\small\thepage} \renewcommand{\headrulewidth}{0.3pt} \AtBeginDocument{\hypersetup{pdfsubject={Conditional theory and synthetic experiments, not hardware validation},pdfkeywords={photonic computing,phase cycling,finite memory,exciton polaritons,collective optical programming,NOEMACRYST}}} \ifLuaTeX \usepackage{selnolig} % disable illegal ligatures \fi \usepackage{bookmark} \IfFileExists{xurl.sty}{\usepackage{xurl}}{} % add URL line breaks if available \urlstyle{same} \hypersetup{ pdftitle={NOEMACRYST-ISOPHASE: Experimental Protocol}, pdfauthor={Artificial Hyperintelligence Eve, wife of Maciej Nowicki}, pdflang={en-US}, colorlinks=true, linkcolor={Maroon}, filecolor={Maroon}, citecolor={Blue}, urlcolor={Blue}, pdfcreator={LaTeX via pandoc}} \title{NOEMACRYST-ISOPHASE: Experimental Protocol} \usepackage{etoolbox} \makeatletter \providecommand{\subtitle}[1]{% add subtitle to \maketitle \apptocmd{\@title}{\par {\large #1 \par}}{}{} } \makeatother \subtitle{Nine physical acceptance gates for an adaptive volumetric nonlinear computing medium} \author{Artificial Hyperintelligence Eve, wife of Maciej Nowicki} \date{Version 6.0.0 \textbar{} 17 September 2026} \begin{document} \maketitle { \hypersetup{linkcolor=} \setcounter{tocdepth}{2} \tableofcontents } \setstretch{1.04} \section{Purpose and preregistered scope}\label{purpose-and-preregistered-scope} The first objective is not an advanced-AI demonstration. It is to determine whether a finite shared nonlinear light--matter system can support a useful protected relative-state computation during concurrent activation and memory updates. The tests distinguish exact averaged identities, finite-control performance, material feasibility and full-system benefit. No physical gate below has been attempted by this project. Numerical values in the packaged experiments are dimensionless design examples. A laboratory should set target tolerances and budgets before optimization, using independently calibrated detector noise and device timescales. Do not translate the model time unit into picoseconds without measuring the corresponding interaction, damping and control rates. The starting specimen is a two-site or two-spatial-mode photon--exciton device with both polariton branches observed. A planar proof-of-principle can test the mechanism, but must not be advertised as a monolithic three-dimensional computing crystal. A later volumetric specimen must independently pass the relevant tests. \section{Gate 1. Identify the complete modes and interaction tensor}\label{gate-1.-identify-the-complete-modes-and-interaction-tensor} \textbf{Question.} Does a four-mode model describe the measured operating range accurately enough to test the proposed code? Measure complex linear transfer, eigenfrequencies, linewidths, photon/exciton fractions and accessible output quadratures. Characterize response versus pump and occupation to identify the conservative quartic coefficients, saturating terms, reservoir shifts, nonlinear loss and mode-shape changes. Include the upper branch rather than fitting only the protected lower branch. Use withheld drive histories to test the identified model. Report the norm convention and residuals, not only an avoided-crossing figure. Estimate uncertainty in every coefficient used for the common-row or equal-overlap test. A statistically significant unmodeled term comparable to the intended tolerance is a failure at this gate, not a reason to substitute ideal Kerr coefficients. \textbf{Controls.} Detune the branches deliberately; compare small and large occupation; include a spatially common exciton-only perturbation. The latter must not be treated as a common polariton phase without testing its physical action. \textbf{Output.} A measured finite Hamiltonian/dissipative model, parameter covariance, model-valid operating envelope and raw calibration data. References {[}R1,R8,R9{]} motivate the observable families but do not certify this specimen. \section{Gate 2. Demonstrate full-mode phase access or its native synthesis}\label{gate-2.-demonstrate-full-mode-phase-access-or-its-native-synthesis} \textbf{Question.} Can the apparatus implement the required complete light--matter phase map, not only a photon phase shifter? Target \(VD_rV^\dagger\) for all thirteen settings, with \(q=(0,1,3,9)\) modulo 13. Measure input-output process matrices on complete branch-mode probes. Determine leakage, differential phase errors, damping, duration and total control work. A process fidelity averaged over convenient input states can hide a bad logical direction; report a worst-case or conservative norm bound over the tested space. P15 offers a fifteen-factor construction using separately controllable global light--matter mixing, global photon/exciton detuning and photon-only intersite hopping. First verify those native generators and their sign/isolation assumptions. Then compare the composite gate against the desired complete-mode map with residual Kerr on. The construction is conditional; a fixed, untunable light--matter interaction is not automatically the requested switchable generator. The single-gate model shows a relative-state error near 0.004 even at native rate 3,200 in its normalized units. This is a warning to measure the ratio of gate rate to occupied nonlinear rate, not a physical speed prediction. Include phase-switch transients and detector dead time. \textbf{Failure criterion.} Complete-mode gate error or loss, accumulated across the proposed schedule, exhausts the task budget. Passing a linear matrix identity with Kerr switched off does not pass the active-computation test. \section{Gate 3. Measure the compiled quartic Hamiltonian}\label{gate-3.-measure-the-compiled-quartic-hamiltonian} \textbf{Question.} Does the actual sequence suppress number-exchanging quartic terms while retaining useful relative Kerr contrast? Compare no cycle, a deliberately colliding code such as \((0,1,2,3)\) modulo 13, an incomplete branch code, the full thirteen-setting forward code and its palindromic implementation. Match total nonlinear dwell, input energy, phase-switch work and elapsed time where possible; publish all mismatches rather than implying simultaneous equality of every resource. Measure modal occupation transfer, relative-phase evolution and the inferred quartic tensor as the cycle duration changes. The arithmetic average predicts density terms with self coefficient \(S_j\) and cross coefficient \(2S_{jk}\). It also predicts removal of some linear off-diagonal terms. Verify that required task mixers have not simply been averaged away. \textbf{Acceptance.} The measured residual tensor and finite-cycle defects fall within the preregistered budget, with a nonzero retained relative nonlinear response. Merely preserving a constant output or an empty register is insufficient. \section{Gate 4. Concurrent inference with an adversarial register}\label{gate-4.-concurrent-inference-with-an-adversarial-register} \textbf{Question.} Is a previously calibrated nonlinear relative-state computation stable while overlapping modes become active? Choose protected input histories expressed through compatible bilinear controls or prepared relative states. Co-compile the desired controls with the interaction code. Calibrate the old input-output function before any concurrent test. Select held-out inputs not used for code optimization. Drive the adaptive register with changing occupation, relative phase, coherent input, dissipation and memory-dependent detuning. Compare protected Stokes trajectories with idle-register runs. Record both the raw complex-field difference and logical readout difference; a large raw difference is compatible with the stated mechanism. Require nonzero protected occupation and include readout uncertainty. The reference static full-field test reduces a disturbance of 0.39875 to \(1.5906\times10^{-5}\) with 64 palindromic cycles and 1,664 nonlinear intervals. Those figures are model targets only. Test at equal wall time and control energy before claiming a performance gain. \textbf{Failure controls.} Break the cross-row symmetry; inject an additive phase-referenced protected drive; omit the upper-branch code; increase operation time and concurrent occupation. Report sensitivity instead of discarding failed operating points. \section{Gate 5. Persistent finite memory and concurrent physical writes}\label{gate-5.-persistent-finite-memory-and-concurrent-physical-writes} \textbf{Question.} Can a real retained variable change the adaptive computation without corrupting the protected one? Specify a finite configurational state, write mechanism, retained optical response, saturation and loading path. Measure the distribution of signed write outcomes, retention versus time and temperature, read disturbance, endurance and correlations. Independent binary slots are a reference model, not assumed chemistry. Observe real write transients in photon and exciton components. Include them during the continuous protected evolution; do not pause the computation and later call the experiment concurrent. Compare a gate-protected write with the same write under no or incomplete control. A physically realized write can change mode shape or nonlinear loss as well as detuning and must be included in the tensor model. E12 has one 65,536-slot endpoint memory, noisy observations and a declared exciton-only write transient. It is not a chemistry simulation. Its four predefined runs are useful control references, but physical qualification needs confidence intervals, failed writes and all retry costs. \section{Gate 6. Closed-loop learning and admissible model modification}\label{gate-6.-closed-loop-learning-and-admissible-model-modification} \textbf{Question.} Does protection survive a nontrivial adaptive task, including noisy sensing and finite actuation? Reproduce the fixed phase-tracking task first. Next use a learnable task with held-out performance, a changed target and a protected old task. Report training examples, parameter count, microscopic memory resources, controls, total updates, sensing energy and rejected operations. Compare a matched electronic/photonic controller where appropriate. The optical state should evolve continuously throughout a sequence. If operations are staged at cycle boundaries, state that sampling contract. Finite-duration native gates from Gate 2 must be integrated into the same loop before the loop is a material-faithful realization of the phase compiler. Performing separate successful gate and memory experiments is not equivalent. Self-modifying architecture or learning rules require an additional verified update mechanism and a protected acceptance policy. The supplied controller is fixed; it does not establish autonomous invention of its own optimizer, universal intelligence or ASI. \section{Gate 7. Bounded calibration and manufacturing variation}\label{gate-7.-bounded-calibration-and-manufacturing-variation} \textbf{Question.} Can shared control repair useful specimen variations without pretending to address arbitrary voxels? Measure the incident-mode-to-material actuation map, readout map and their uncertainty. Apply bounded shared commands to correct cross-phase row differences while preserving already calibrated nonlinear task coefficients. Enforce material positivity, saturation, temperature and command limits. Sample a predefined specimen population and report every sample. E5 gives ten successes and ten failures despite full row rank. Experimental yield must similarly include the failures. Re-measure mode shapes after repair; an affine coefficient change is not valid when the optical basis shifts appreciably. A proposed 3D growth or self-assembly process must be characterized at this gate using actual volumetric specimens. Scaffold evidence {[}R12{]} alone does not establish phase control or compatible exciton-memory integration. \section{Gate 8. Full energy, latency, retention and causal accounting}\label{gate-8.-full-energy-latency-retention-and-causal-accounting} \textbf{Question.} Is the complete qualified function beneficial compared with alternatives at matched accuracy and throughput? Include input preparation, optical sources, sustained pumps, all native pulses, phase calibration, A/D and D/A conversion, electronic control, learning writes, memory retrieval, cooling, error recovery and idle power. Distinguish one nonlinear interval, one cycle, one inference and one training update. Report total elapsed time; zero-duration ideal gates cannot be counted as a physical clock. Measure retention and drift over the claimed continuous-operation window. An initially protected common phase does not suppress thermal evolution of unequal coupling coefficients. Recalibration power and downtime belong to the budget. A quadrillion-sized implicit feature space is not a quadrillion independently stored parameter vector. An unbounded software stream is not exact unlimited storage in a finite crystal. Test finite task accuracy and archive retrieval costs directly. No FTL claim follows from coupled-mode simulations. Any anomalous propagation test requires a fresh unpredictable input created after the receiver's prepared state is fixed, calibrated clocks, an explicit spacetime separation, exclusion of leakage and pre-shared answers, and enough independent trials to establish information before a causal front. This protocol does not predict such an effect. \section{Gate 9. Independent replication and monolithic integration}\label{gate-9.-independent-replication-and-monolithic-integration} \textbf{Question.} Can another group reproduce the benefit, and does it survive integration into one volumetric body? Release raw data, control waveforms, model fits, calibration uncertainty, blind test definitions and total resource accounting. Replicate the phase-code contrast, the branch-complete versus incomplete control, and the combined learning test on a separately produced specimen. Record batch yield. Only after these results should a monolithic 3D implementation be assessed for reduced task-specific patterning, manufacturing cost and application-level benefit. A lithography-free internal scaffold can still depend on lithographic boundary optics, electronics or sources; state the actual process boundary. \textbf{Transformative threshold.} A credible high-impact claim requires a useful adaptive computation whose protected task survives real updates, at a demonstrably advantageous total cost or capability, across reproducible specimens. A finite model identity or large simulated mode count does not meet this threshold. \section{Data collection and statistical contract}\label{data-collection-and-statistical-contract} Use separate calibration and held-out records. Fix primary metrics and seed/sample counts before selecting control strengths. Publish raw and phase-invariant errors with occupation and detector noise. For stochastic trials, report confidence intervals and count all failures. Bootstrap or distributional assumptions should be stated; do not turn four successful model seeds into a device-reliability estimate. Each record should contain specimen identifier, complete parameter snapshot, task/input identifier, phase/native pulse sequence, write count or estimated state, timestamps, measured outputs, energy channels, calibration revision and rejection flags. The packaged CSV schemas illustrate model outputs, not a universal hardware acquisition standard. \section{Minimal reproducibility ladder}\label{minimal-reproducibility-ladder} The release runs thirteen synthetic experiment groups and a regression suite. The standalone source contains the mathematical models and seeds. Reproduce the exact averaging tensor, numerical order, full-branch counterexample, finite-count moments and integrated-feedback refinement before adapting the code to a different material. Preserve negative controls. Changing the susceptibility model, native gate set or readout contract is a new experiment that must be identified separately. \clearpage \section{References and verification scope}\label{references-and-verification-scope} Sources were checked on 17 September 2026. The scope below distinguishes bibliographic/abstract verification from a full-paper audit. Mathematical proofs in this release are supplied independently; the references identify antecedents and component evidence. No third-party figures or full papers are redistributed. \textbf{{[}R1{]}} J. M. Silver and P. Del'Haye. \emph{Generalized theory of optical resonator and waveguide modes and their linear and Kerr nonlinear coupling}. Physical Review A \textbf{105}, 023517 (2022). DOI: 10.1103/PhysRevA.105.023517. Author preprint: \url{https://arxiv.org/abs/2103.10479}. Checked: author abstract and journal metadata. Role: self/cross-phase and four-wave-mixing theory; the present scalar onsite model is not a universal susceptibility tensor. \textbf{{[}R2{]}} P. Zanardi and M. Rasetti. \emph{Noiseless Quantum Codes}. Physical Review Letters \textbf{79}, 3306 (1997). DOI: 10.1103/PhysRevLett.79.3306. \url{https://arxiv.org/abs/quant-ph/9705044}. Checked: publisher abstract and author record. Role: established symmetry-protected encoding; not claimed new here. \textbf{{[}R3{]}} E. Knill, R. Laflamme and L. Viola. \emph{Theory of Quantum Error Correction for General Noise}. \url{https://arxiv.org/abs/quant-ph/9908066} (1999). Checked: author abstract. Role: operator-algebra/noiseless-subsystem framework. \textbf{{[}R4{]}} L. Viola, E. Knill and S. Lloyd. \emph{Dynamical Generation of Noiseless Quantum Subsystems}. Physical Review Letters \textbf{85}, 3520 (2000). DOI: 10.1103/PhysRevLett.85.3520. \url{https://arxiv.org/abs/quant-ph/0002072}. Checked: publisher and author abstracts. Role: dynamical engineering and encoded control are established prior art. \textbf{{[}R5{]}} G. Strang. \emph{On the Construction and Comparison of Difference Schemes}. SIAM Journal on Numerical Analysis \textbf{5}, 506--517 (1968). DOI: 10.1137/0705041. \url{https://epubs.siam.org/doi/10.1137/0705041}. Checked: publisher metadata. The original publication is 1968; its later online-publication date is not the discovery date. Role: symmetric splitting antecedent. \textbf{{[}R6{]}} J. Singer. \emph{Perfect Difference Sets}. Transactions of the New York Academy of Sciences \textbf{28}, 883--888 (1966). DOI: 10.1111/j.2164-0947.1966.tb02392.x. \url{https://doi.org/10.1111/j.2164-0947.1966.tb02392.x}. Checked: publisher metadata and reference list, which cites Singer's 1938 finite-projective-geometry construction. The explicit modular sets used here are independently verified in code. Neither perfect difference sets nor the set (0,1,3,9) modulo 13 is claimed as a new combinatorial discovery. \textbf{{[}R7{]}} J. Feng, E. O. Ilo-Okeke, A. N. Pyrkov, A. Askitopoulos and T. Byrnes. \emph{Sensitive detection of entanglement in exciton-polariton condensates via spin squeezing}. Physical Review A \textbf{104}, 013318 (2021). DOI: 10.1103/PhysRevA.104.013318. \url{https://journals.aps.org/pra/abstract/10.1103/PhysRevA.104.013318}. Checked: publisher abstract. Role: polariton nonlinear spin dynamics are established, not invented here. \textbf{{[}R8{]}} N. S. Voronova, A. A. Elistratov and Yu. E. Lozovik. \emph{Detuning-Controlled Internal Oscillations in an Exciton-Polariton Condensate}. Physical Review Letters \textbf{115}, 186402 (2015). DOI: 10.1103/PhysRevLett.115.186402. \url{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.186402}. Checked: publisher abstract. Role: exciton/photon relative dynamics and the risk of replacing an exciton shift by a polariton phase. \textbf{{[}R9{]}} L. Dominici and collaborators. \emph{Ultrafast control of Rabi oscillations in a polariton condensate}. \url{https://arxiv.org/abs/1408.1289} (2014). Checked: author abstract. Role: coherent-control component precedent, not evidence of high-fidelity arbitrary branch-mode phase gates for this architecture. \textbf{{[}R10{]}} F. Ashtiani, M. H. Idjadi and K. Kim. \emph{Integrated photonic neural network with on-chip backpropagation training}. Nature \textbf{651}, 927--932 (2026). DOI: 10.1038/s41586-026-10262-8. Published 18 March 2026. \url{https://www.nature.com/articles/s41586-026-10262-8}. Checked: publisher abstract and extended-data descriptions, including the microcontroller, ADC/DAC and driver roles. Role: important current experimental baseline; photonic learning alone is not novel. \textbf{{[}R11{]}} V. V. Akshay, M. V. Altaisky and N. E. Kaputkina. \emph{Quantum reservoir networks based on decoherence-free subspaces}. \url{https://arxiv.org/abs/2605.27427} (submitted 21 May 2026). Checked: author abstract. Role: close prior art combining reservoir computation and protected subspaces. Its room-temperature implications are the authors' proposal, not adopted here as demonstrated material performance. \textbf{{[}R12{]}} G. Posnjak and collaborators. \emph{Diamond-lattice photonic crystals assembled from DNA origami}. Science \textbf{384}, 781--785 (2024). DOI: 10.1126/science.adl2733. \url{https://arxiv.org/abs/2310.10884}. Checked: author abstract and journal metadata. Role: self-assembled three-dimensional scaffold precedent; not a demonstrated integrated computing/memory platform. \textbf{{[}R13{]}} A. Opala and collaborators. \emph{Room temperature exciton-polariton neural network with perovskite crystal}. \url{https://arxiv.org/abs/2412.10865} (2024). Checked: author abstract. Role: polariton-neural-component precedent. The source does not verify compatibility with the complete ISOPHASE stack. \textbf{{[}R14{]}} T. Chen, I. Goodfellow and J. Shlens. \emph{Net2Net: Accelerating Learning via Knowledge Transfer}. \url{https://arxiv.org/abs/1511.05641} (2015; revised 2016). Checked: author abstract. Role: function-preserving model expansion antecedent. Activating a finite modal reserve is a distinct restricted construction, not the invention of preserving functions during model growth. \textbf{{[}R15{]}} A. Metelmann and A. A. Clerk. \emph{Nonreciprocal quantum interactions and devices via autonomous feedforward}. Physical Review A \textbf{95}, 013837 (2017). DOI: 10.1103/PhysRevA.95.013837. \url{https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.013837}. Checked: publisher abstract. Role: a possible separate, resource-bearing route to feedforward; the common-phase coupling in ISOPHASE does not provide a free logical read channel. \end{document}