| 1. Domain | 1.1 Scope of the Domain | Boundaries | The range of phenomena the science includes and excludes. | Pre-relativistic frameworks describe physical systems using classical assumptions: absolute space, absolute time, instantaneous interactions, Euclidean geometry, and Galilean transformations. They exclude relativistic effects such as time dilation, length contraction, finite-speed causality, and spacetime curvature. |
| | Scale | The spatial, temporal, or organizational level at which the science operates (e.g., quantum, cellular, social, cosmic). | Valid at speeds much lower than the speed of light, at macroscopic distances, and over time intervals where classical assumptions hold. Applies to mechanical, acoustic, thermal, and pre-Maxwellian electromagnetic phenomena interpreted through classical intuition. |
| 1.2 Ontological Commitments | Entities | The kinds of things assumed to exist within the domain (particles, organisms, agents, fields, etc.). | Material particles, rigid bodies, continuous media, classical fields interpreted as disturbances in an assumed background (often the ether), forces acting instantaneously at a distance, and absolute frames of reference. |
| | Properties | The fundamental attributes these entities possess (mass, charge, genotype, preference, etc.). | Mass, position, velocity, acceleration, force, potential energy, absolute time, absolute spatial coordinates, classical field strength, mechanical momentum, and classical wave speed through a medium or ether. |
| | Categories | The basic ontological types used to classify domain elements (substances, processes, relations, structures). | Particles vs rigid bodies, forces vs potentials, absolute space vs relative motion, wave phenomena vs particle motion, instantaneous action vs mediated interaction, inertial frames vs non-inertial frames defined by classical criteria. |
| 1.3 State-Variables | Variables | The measurable or definable properties that describe system conditions. | Positions, velocities, accelerations, forces, energy, momentum, pressure, field intensities (in pre-Maxwellian theories), density of continuous media, and wave amplitudes defined relative to absolute time and space. |
| | Parameterization | How variables encode and represent the system’s state. | System states encoded through time-dependent positions and velocities in absolute space, classical field values if used, and scalar or vector quantities defined using Galilean addition of velocities and classical transformation rules. |
| 1.4 Admissible Idealizations | Simplifications | Conceptual reductions used to make the domain tractable (point masses, rational agents, perfect gases). | Instantaneous interactions at a distance, ignoring the finite speed of signal propagation, treating the ether as a perfectly stationary medium, assuming rigid bodies, using linear approximations, and idealizing continuous materials. |
| | Validity Conditions | The limits and contexts in which idealizations hold or break down. | Classical approximations hold when velocities are small compared to light speed, gravitational or electromagnetic propagation delays are negligible, and inertial frames behave consistently with Galilean relativity. |
| 1.5 Domain Assumptions | Structural Assumptions | Background ontological stances such as determinism, continuity, randomness, discreteness. | Space and time are independent and absolute; simultaneity is universal; mass is invariant; forces act instantaneously; motion is governed by deterministic classical laws; transformations between frames follow Galilean rules. |
| | Implicit Commitments | Unstated but necessary assumptions that shape the field’s conceptual structure. | Assumes a universal time shared by all observers, a preferred rest frame (often associated with the ether), linear addition of velocities, and the absence of speed limits on causal influences. |
| 1.6 Internal Coherence Requirements | Consistency | The demand that domain concepts do not contradict one another. | All concepts must adhere to classical mechanics and Galilean kinematics without contradicting absolute time, absolute space, or instantaneous interactions. Field descriptions must not require finite signal propagation speeds. |
| | Compatibility | The requirement that entities, variables, and assumptions fit together into a unified descriptive framework. | Entities, variables, and assumptions must align with the classical worldview: Newtonian mechanics, pre-relativistic field theories, ether models, and Galilean transformations must fit together into a unified and non-relativistic physical description. |
| 2. Evidence Layer | 2.1 Observable Phenomena | Observables | The aspects of the domain that can produce detectable signals accessible to measurement. | Classical motion of bodies, forces, accelerations, waves in media, heat transfer, fluid flow, and pre-Maxwell electromagnetic effects interpreted through instantaneous or medium-based models. |
| | Detection Limits | The boundaries of what can be resolved or sensed by current instruments or methods. | Measurement ability limited by mechanical instrument precision, optical resolution, timing accuracy, and the inability (in the classical era) to detect very fast signals, extremely small spatial changes, or relativistic corrections. |
| 2.2 Measurement Systems | Units | Standardized quantifications (meters, seconds, volts, decibels, dollars, etc.) necessary for consistent comparison. | Classical units such as meters (distance), seconds (time), kilograms (mass), newtons (force), joules (energy), pascals (pressure), and pre-standardized electromagnetic units used before modern SI conventions. |
| | Instruments | Devices and tools (microscopes, spectrometers, sensors, surveys, detectors) used to produce measurements. | Early scientific tools including pendulums, clocks, rulers, balances, barometers, thermometers, telescopes, mechanical oscillators, galvanometers, Wheatstone bridges, and optical interferometers used in ether-drift experiments. |
| 2.3 Operational Definitions | Definitions | Terms defined by specific measurement procedures, ensuring empirical clarity. | Definitions based on classical procedures: force defined by acceleration of masses, time defined by periodic motion (pendulums), temperature by expansion of fluids, current by galvanometer deflection, and ether-drift defined by measured fringe shifts. |
| | Procedures | The explicit steps required to perform a measurement in a reproducible way. | Standardized steps such as measuring motion by tracking positions over absolute time, recording interference fringes, measuring heat flow using calorimetry, and using mechanical balances for force determination. |
| 2.4 Data Acquisition | Protocols | Formal processes for gathering data under controlled or standardized conditions. | Classical experimental protocols: repeated timing experiments, controlled mechanical tests, wave speed measurements in media, fluid-flow experiments, optical alignment procedures, and early electromagnetic measurements using galvanic circuits. |
| | Sampling | Rules determining which subset of the domain is measured and how representative it is. | Sampling based on manual readings, periodic measurements over equal time intervals, repeated trials to reduce mechanical error, and spatial sampling using rulers or grids to map trajectories or wave patterns. |
| 2.5 Data Character & Format | Data Types | The form raw evidence takes (time series, spectra, images, counts, qualitative records). | Tables of times and distances, mechanical trajectories, wave speeds, oscillation periods, pressure readings, thermometric data, flickering galvanometer deflections, interference patterns, and hand-recorded measurement logs. |
| | Resolution | The granularity or precision with which data is captured. | Limited by manual measurement precision, clock accuracy, visual resolution of wave or interference patterns, and mechanical sensitivity of early sensors. |
| 2.6 Reliability & Calibration | Calibration | Adjustment procedures ensuring instruments produce accurate results. | Calibration of clocks using pendulum standards, rulers using known lengths, balances using standard masses, barometers with reference pressures, and optical interferometers with known path lengths. |
| | Error Characterization | Identification and quantification of noise, uncertainty, bias, and measurement error. | Recognition of mechanical friction, parallax error, instrument backlash, thermal expansion effects, operator reaction time, environmental disturbances, and random variations in repeated measurements. |
| 3. Structural Layer | 3.1 Patterns & Regularities | Laws / Relations | Stable, repeatable patterns governing how observables behave across conditions. | Behavior is governed by Newton’s laws of motion, classical force laws, Galilean velocity addition, inverse-square gravitational law, classical wave laws in media, and energy and momentum relations defined without relativistic corrections. |
| | Invariants | Quantities or properties that remain constant under transformations (symmetries, conservation laws). | Conserved quantities include mass, momentum, and energy in isolated systems. Absolute time and absolute spatial distances are invariant across all reference frames. Galilean transformations preserve simultaneity and spatial separations. |
| 3.2 Causal Architecture | Mechanisms | Underlying processes or structures that produce the observed regularities. | Causes operate through instantaneous forces acting at a distance (gravity, early electromagnetism), mechanical contact forces, pressure gradients, and waves propagating through material media or ether. |
| | Pathways | Organized sequences of interactions forming a causal chain or network. | Typical chains: applied force creates acceleration; acceleration changes velocity; motion produces mechanical or wave effects; waves propagate through media; measurements occur within a universal time reference. |
| 3.3 Theoretical Vocabulary | Concepts | Core terms that encode the domain’s structure (force, gene, equilibrium, field). | Core concepts: absolute time, absolute space, inertia, force, mass, potential, ether, wave medium, instantaneous action, classical field, relative motion under Galilean rules, and universal simultaneity. |
| | Classifications | Taxonomies, categories, or typologies that organize entities and relations. | Categories include inertial vs non-inertial frames, particle vs wave phenomena, force-based vs potential-based descriptions, mechanical vs electromagnetic effects, and motion relative to ether vs motion relative to material media. |
| 3.4 Formal Representations | Equations | Mathematical constructs expressing laws, relations, or mechanisms. | Representations include Newton’s equations, classical gravitational equations, wave equations in elastic media or ether, potential-force relations, and Galilean transformation rules for converting between frames. |
| | Models | Structured representations—mathematical, computational, or conceptual—used to predict and explain phenomena. | Models include point-particle systems, rigid-body mechanics, harmonic oscillators, classical gravitational systems, ether-based wave models, and mechanical analog models such as springs, fluids, and vibrating strings. |
| 3.5 Idealized Structures | Simplified Models | Purposeful abstractions that capture essential dynamics while omitting irrelevant detail. | Idealizations include perfect rigidity, instantaneous interactions, frictionless surfaces, ideal fluids, ether as a stationary medium, linear wave propagation, and bodies treated as point masses. |
| | Limit Conditions | Regimes where specific models or approximations hold (classical vs. quantum, linear vs. nonlinear). | Valid only when velocities are much less than light speed, gravitational or electromagnetic propagation delays are negligible, and no experiments probe the failure of absolute time or ether assumptions. |
| 3.6 Integrative Frameworks | Unifying Theories | Higher-order structures that connect disparate laws or mechanisms under a coherent whole. | Unified structure built from Newtonian mechanics, classical gravitation, and ether-based wave theories. All phenomena are combined under the assumptions of absolute time, absolute space, and instantaneous interactions. |
| | Interdisciplinary Links | Points where the theory connects to adjacent sciences or larger explanatory systems. | Connects to classical mechanics, classical electromagnetism, acoustics, fluid mechanics, astronomy, and pre-Maxwell field theories. These links ultimately revealed contradictions that motivated the development of relativity. |
| 4. Method Layer | 4.1 Inquiry Design | Experimental Design | Structured plans for manipulating variables to test causal claims. | Constructing classical experiments that manipulate masses, forces, pressures, temperatures, wave sources, or mechanical configurations to test predictions based on absolute time, absolute space, and classical force laws. |
| | Observational Design | Systematic approaches for gathering non-manipulated data (surveys, field studies, natural experiments). | Gathering data from natural phenomena such as planetary motion, tides, sound propagation, fluid flow, and mechanical vibrations without controlling the environment, using classical measurement tools. |
| 4.2 Testing & Validation | Hypothesis Testing | Procedures for evaluating whether evidence supports or contradicts specific claims. | Evaluating whether measured trajectories, wave speeds, forces, or mechanical responses align with Newtonian predictions, Galilean transformations, or ether-based wave models. |
| | Replication | The requirement that results be independently reproducible under similar conditions. | Repeating classical timing experiments, mechanical tests, wave observations, and astronomical measurements under the same conditions to ensure reproducibility with pre-relativistic assumptions. |
| 4.3 Inference & Evaluation | Statistical Inference | Rules for drawing conclusions from noisy or incomplete data. | Using repeated measurements, averaging, curve fitting, and error estimation to draw conclusions from noisy mechanical, optical, or fluid data recorded with classical-era instruments. |
| | Model Comparison | Criteria (fit, simplicity, predictive accuracy, robustness) used to evaluate competing models. | Comparing classical models such as Newtonian inertia, inverse-square gravitation, ether-drift predictions, and Galilean velocity addition based on their fit to observed data and internal simplicity. |
| 4.4 Error Management | Error Analysis | Identification and quantification of random and systematic errors. | Identifying errors from mechanical friction, instrument backlash, timing inaccuracies, parallax errors, temperature variation, hand-recording mistakes, and environmental disturbances affecting classical experiments. |
| | Bias Control | Methods for minimizing subjective, instrumental, or procedural biases. | Reducing bias by standardizing measurement procedures, calibrating mechanical clocks and rulers, controlling temperature where possible, minimizing human reaction-time delay, and using multiple independent observers. |
| 4.5 Adjudication & Revision | Peer Scrutiny | Collective evaluation of claims through critique, review, and debate. | Classical findings were evaluated through replication, correspondence among scientists, publication in early scientific societies, and debates over ether theories, gravity, mechanical laws, and wave propagation. |
| | Theory Revision | Procedures for modifying, replacing, or discarding models based on new evidence. | Updating or rejecting pre-relativistic models when they failed to match precise measurements—for example revising ether theories after null results, refining mechanics after anomalies, or adjusting planetary motion laws. |
| 4.6 Integrity Conditions | Transparency | Requirements to disclose methods, data, assumptions, and limitations. | Clear reporting of measurement devices, timing procedures, experimental setups, environmental conditions, and assumptions such as absolute time, rigid bodies, or instantaneous interactions. |
| | Ethical Standards | Norms ensuring responsible conduct in experimentation, data handling, and publication. | Ensuring honest recording of data, careful handling of mechanical instruments, avoidance of fabrication or selective reporting, and responsible dissemination of findings within classical scientific societies. |