Conceptual Architecture and Test-Driven Development Framework for Simulating Variable Speed of Light and Tired Light Cosmologies over a 15-Billion-Year Epoch

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Introduction to the Cosmological Impasse and Alternative Frameworks

The standard cosmological model, known formally as the [Figure omitted from source export]CDM (Lambda Cold Dark Matter) framework, operates under the fundamental assumption that the universe has been expanding since a singular Big Bang event, driven by an accelerating force known as dark energy. Within this paradigm, the speed of light in a vacuum, denoted by the constant [Figure omitted from source export], is treated as an absolute, immutable law of nature, governing everything from the equations of special relativity to the fundamental conservation of energy.1 The cosmological redshift observed in distant galaxies—a phenomenon where the spectrum of emitted electromagnetic radiation shifts toward lower energies and longer wavelengths—is universally attributed to the metric expansion of space itself stretching the light during its transit.2 However, the foundational axioms of the standard model have not been without challengers. Over the past century, a steady undercurrent of theoretical physics has proposed alternative mechanisms to explain the redshift-distance relationship without relying on the physical expansion of the universe. Chief among these alternative theories are the Variable Speed of Light (VSL) cosmologies and the Tired Light (TL) hypothesis. Designing a custom computational physics engine to simulate these phenomena over a fifteen-billion-year timeline requires a rigorous unification of speculative physics, advanced numerical integration, and modern software engineering practices. The prompt requires the creation of a Test-Driven Development (TDD) architecture to calculate the kinematic, energetic, and relativistic consequences of a decaying speed of light, yielding graphical outputs that plot the degradation of [Figure omitted from source export], the attenuation of photon energy, and the resulting synthetic redshift-distance relationships. Because the physical slowing of light over cosmic time has never been empirically confirmed to the extent required to replace [Figure omitted from source export]CDM, the simulation must be explicitly built upon a set of clearly defined speculative assumptions. This software system will provide a virtual laboratory where the parameters of a decaying speed of light and energy-drained photons can be mathematically modeled, tracked, and visualized. The concept of a variable speed of light is not a modern contrivance; its roots extend to the early formulations of general relativity. In 1907 and 1911, Albert Einstein himself explored the idea that the speed of light is spatially variable within a gravitational potential, noting that the principle of the constancy of the velocity of light does not hold in the formulation normally used as the basis of the ordinary theory of relativity.5 Modern iterations of VSL theories have been advanced by theoretical physicists such as John Moffat, João Magueijo, and John Barrow.6 These frameworks propose that the speed of light was substantially higher in the early universe, allowing distant regions of space to exchange thermal information and reach equilibrium without the need for a highly speculative, rapid "inflationary" epoch.8 Simultaneously, the Tired Light hypothesis, first proposed by Fritz Zwicky in 1929, suggests that photons lose energy over time through scattering, collisions with other particles, or interactions with the intergalactic medium.4 Zwicky suggested that if light lost energy in a regular, predictable manner as it traveled through the vast void of space, distant galaxies would naturally appear redder than nearby ones.4 While traditional Tired Light models were largely marginalized due to their inability to account for the observed time dilation in Type Ia supernovae and the blurring of distant galactic images, modern unifications of VSL and TL models have resurrected the mathematical viability of these concepts.11 By combining these theories into a single computational simulation, the software designed herein will test whether an internally consistent universe can exist where space remains static, but light itself exhausts its speed and energy over a fifteen-billion-year journey.

Speculative Theoretical Foundations for the Simulation Engine

To simulate the slowing of light over an extended epoch, the software's physics engine must mathematically define the precise mechanisms of decay. This requires synthesizing several disparate, speculative cosmological models into a unified computational algorithm. The engine must process the continuous change of fundamental constants while maintaining the structural integrity of localized physics. To achieve this, the system logic is divided into three interconnected speculative branches: the kinematic decay of light speed, the attenuation of photon energy, and the dynamic compensation of mass to preserve energy conservation.

The Kinematics of Variable Light Speed (VSL)

The core mechanism of the simulation requires establishing the decay rate of the speed of light over time. The software must implement interchangeable algorithms to allow the user to visualize different theoretical decay models. The most prominent model utilized in the engine is the Exponential Decay model, advanced by Giuseppe Pipino under the framework of Varying Speed of Light with Time (VSLT). Pipino hypothesizes that the speed of light decreases over time at a rate defined by the differential equation [Figure omitted from source export], where [Figure omitted from source export] is the Hubble constant.13 Integrating this relationship yields an exponential decay function: [Figure omitted from source export]. In this speculative paradigm, the cosmological redshift observed in astronomical data is not an artifact of spatial expansion, nor is it a simple Doppler shift; rather, it is a direct measurement of the temporal variation of [Figure omitted from source export] itself, calculated as [Figure omitted from source export].14 As an alternative execution path within the simulation, the engine can invoke the Inverse Proportionality model proposed by Antonio Alfonso-Faus. In his concept of a fractal universe, all speeds, including the speed of light, decrease inversely proportional to cosmological time, meaning [Figure omitted from source export].15 Within this specific implementation, the overall size of the universe remains static, rendering the horizon problem, the entropy problem, and the cosmological constant problem mathematically obsolete.15 The simulation will track the speed of light descending asymptotically toward zero over infinite time, though over the specified fifteen-billion-year parameter, it will manifest as a sharply decreasing hyperbolic curve.

The Energetics of Tired Light (TL)

Alongside the kinematic slowing of the photon, the software must simulate the continuous loss of energy indicative of the Tired Light hypothesis. The attenuation of photon energy in the TL framework is defined by an intrinsic energy attenuation coefficient, denoted as [Figure omitted from source export], which acts continuously over the distance [Figure omitted from source export] traversed by the photon.18 Because the velocity of the photon is dynamically changing in the simulation, the distance [Figure omitted from source export] is not a simple product of velocity and time, but must be computed as the integral of [Figure omitted from source export] over the simulated time span. The continuous energy decay equation is formalized as [Figure omitted from source export].18 By linking the distance to the variable speed of light, the attenuation time constant can be defined as [Figure omitted from source export], leading to an exponential decay of energy over time: [Figure omitted from source export].18 It is vital to note that within this speculative physics engine, the photon does not undergo radioactive decay in the manner of unstable atomic isotopes; the photon remains structurally intact but continuously bleeds kinetic energy into the surrounding intergalactic medium.18 To add a layer of microscopic realism to the simulation, the software includes a module for Free Electron Compton Scattering (FEC). In this subroutine, rather than treating energy loss as a perfectly smooth exponential curve, the simulation tracks discrete collision events between the simulated photons and free electrons residing in sparse intergalactic plasma.20 By utilizing the New Tired Light (NTL) predictions, the engine calculates an average electron number density of [Figure omitted from source export] m$^{-3}$.22 When the photon collides with an electron, energy is transferred to the recoiling electron upon absorption and re-emission, resulting in a discrete reduction in the photon's frequency and a corresponding increase in its wavelength.20 This scattering produces a Dispersion Measure (DM) that is directly proportional to the redshift, following the relation [Figure omitted from source export].20

Unifying the Speculations: The CCC+TL Framework

To ensure the simulation produces output graphs that accurately mimic observational reality—thereby making the speculative universe indistinguishable from our own from the perspective of a terrestrial observer—the engine incorporates the Covarying Coupling Constants plus Tired Light (CCC+TL) model, recently developed by Rajendra Gupta.23 The CCC+TL cosmology modifies the Friedmann-Lemaître-Robertson-Walker (FLRW) metric to include interrelated variations in the speed of light and gravitational constants, acting in tandem with the tired light energy loss.23 In Gupta's standard formulation, the physical speed of light actually increases during cosmic expansion to compensate for increasing time dilation, ensuring the total travel time of light between galaxies remains constant.25 However, because the primary directive of this software is to simulate the loss of speed of tired light, the engine utilizes the inverted mathematical symmetry of the CCC model. The simulation applies a static or contracting spatial metric where the variation of the gravitational constant ([Figure omitted from source export]) and the speed of light ([Figure omitted from source export]) behave like dark matter and dark energy without requiring a cosmological constant ([Figure omitted from source export]).23 This interplay generates the illusion of an exponentially expanding universe purely through the covariant degradation of the coupling constants.23

The Core Speculation: Preserving Energy Conservation

The most significant computational and theoretical hurdle in designing a Variable Speed of Light simulation is the preservation of the First Law of Thermodynamics. The equation of mass-energy equivalence, [Figure omitted from source export], presents an immediate paradox: if the speed of light [Figure omitted from source export] was significantly faster fifteen billion years ago, the energy [Figure omitted from source export] of any given rest mass would have been vastly greater, implicitly violating the law of conservation of energy.9 To resolve this paradox and allow the simulation to run without catastrophic thermodynamic violations, the software architecture must enforce the variable mass hypothesis. This speculative assumption posits that rest mass is not an immutable property of matter, but is inversely proportional to the square of the speed of light. The mathematical derivation programmed into the engine is [Figure omitted from source export], where [Figure omitted from source export] is a constant.29 By substituting this dynamic definition of mass into the energy equivalence formula, the simulation yields [Figure omitted from source export]. The [Figure omitted from source export] terms algebraically cancel out, leaving [Figure omitted from source export].29 Therefore, as the simulated speed of light decays over fifteen billion years, the rest mass of all particles in the simulated universe proportionally increases, completely canceling out the effect of a decaying [Figure omitted from source export] and perfectly maintaining the conservation of energy across the entire chronological epoch.29

Software Engineering: The Test-Driven Development (TDD) Architecture

To physically model these speculative concepts over a temporal scale of fifteen billion years, the software is designed using a strict Test-Driven Development (TDD) methodology. TDD is a software engineering practice where developers write automated unit and integration tests before writing the actual operational code. The tests initially fail (the "Red" phase), the code is written to satisfy the physical constraints (the "Green" phase), and the engine is then optimized for computational efficiency (the "Refactor" phase). Applying TDD to speculative cosmology ensures that the interconnected web of variable constants does not lead to logical contradictions or floating-point arithmetic collapse over the vast simulated timeframe. The architecture comprises three primary object-oriented tiers: the CorePhysicsEngine, the SimulationOrchestrator, and the VisualizationGrapher. The CorePhysicsEngine is responsible for numerical integration and maintaining the state of the universe. The SimulationOrchestrator manages the fifteen-billion-year loop and handles data logging. The VisualizationGrapher maps the logged data to visual outputs.

Defining the Invariants: TDD Test Suites

Before the CorePhysicsEngine can be coded, the system must establish the boundary conditions of the speculative universe. While dimensional constants like the speed of light ([Figure omitted from source export]) and the gravitational constant ([Figure omitted from source export]) are allowed to mutate, dimensionless constants—which govern the structural reality of atomic physics and chemistry—must remain completely invariant regardless of the speed of light.

Test Suite 1: Invariance of the Fine Structure Constant

The fine structure constant, denoted as [Figure omitted from source export], is a dimensionless quantity that characterizes the strength of the electromagnetic interaction between elementary charged particles. It is defined by the equation [Figure omitted from source export], or more simply in natural units, approximately [Figure omitted from source export].30 Because it is dimensionless, it is not an artifact of human measurement units; it is a pure number. If the simulation allows the speed of light [Figure omitted from source export] to decay exponentially over billions of years, the fine structure constant would theoretically increase, entirely rewriting the laws of chemistry and making the existence of atomic matter impossible in the recent past.31 To prevent this, the first unit test, Test\_FineStructureConstant\_Invariance(), asserts that the value of [Figure omitted from source export] computed at simulated time [Figure omitted from source export] years must be functionally identical to the value of [Figure omitted from source export] computed at [Figure omitted from source export] (present day). When the ConstantsManager class within the physics engine alters [Figure omitted from source export], it must simultaneously and proportionally alter the elementary charge [Figure omitted from source export], or the reduced Planck constant [Figure omitted from source export], to ensure that the ratio remains perfectly balanced at [Figure omitted from source export].30 The TDD framework enforces this covariant coupling at every tick of the simulation clock.

Test Suite 2: Supernova Time Dilation Matching

A historical vulnerability of the classic Tired Light theory was its inability to account for the observed time dilation in the light curves of distant Type Ia supernovae.11 In an expanding universe, relativistic time dilation causes events at high redshift to appear to unfold more slowly to a terrestrial observer; a supernova explosion that takes a few weeks locally will appear to take months if observed at a high redshift. The simulation engine must replicate this exact phenomenological observation without expanding the spatial grid. The unit test Test\_SNIa\_LightCurve\_TimeDilation() asserts that a simulated light pulse emitted with duration [Figure omitted from source export] from a distance corresponding to redshift [Figure omitted from source export] must be received by the simulated observer with a duration of [Figure omitted from source export]. To satisfy this test, the engine utilizes Pipino's kinematic time dilation logic. Because the speed of light continuously drops during the photon's transit, the leading edge of a light pulse (emitted first) travels at a slightly faster average velocity than the trailing edge of the pulse (emitted slightly later).32 This infinitesimal velocity differential geometrically stretches the light pulse as it travels across billions of light-years, perfectly mimicking the cosmic time dilation effect observed in real-world astrophysical data.32

Test Suite 3: Proca Mass Limit and Dispersion

Standard general relativity and Maxwell's equations assume the photon has exactly zero rest mass, allowing it to move strictly at the ultimate speed limit [Figure omitted from source export].33 However, within VSL and TL theories, exploring a non-zero photon rest mass is mathematically beneficial. If a massive particle is accelerated, it requires infinite energy to reach [Figure omitted from source export]; thus, if the photon has mass, its speed will be frequency-dependent.33 The test Test\_PhotonMass\_ProcaDispersion() asserts that high-frequency photons must arrive at the observer slightly before low-frequency photons emitted from the same catastrophic event. To pass this test, the MetricTensorSolver must abandon the standard Maxwell equations and implement the Proca equations. The Proca Lagrangian modifies the standard electromagnetic field tensor to include a mass term: [Figure omitted from source export], where [Figure omitted from source export] is the electromagnetic field tensor and [Figure omitted from source export] is the four-potential.35 By instantiating photons with a rest mass at the current experimental upper limit of roughly [Figure omitted from source export] grams 33, the simulation introduces a secondary, mass-induced drag effect that naturally tires the light and creates a dispersive arrival time for different color spectrums over cosmic distances.

Architectural TDD Matrix

The following table summarizes the core TDD architecture, mapping the speculative hypothesis to the specific software module and the algorithmic assertion required to pass the integration pipeline.

The Simulation Mechanics and Numerical Integration

Simulating a fifteen-billion-year epoch requires a numerical integrator capable of handling extreme temporal scales without falling victim to floating-point precision errors. Standard Euler integration would rapidly compound calculation errors due to the exponential nature of the VSL decay and the vast distances involved. Therefore, the CorePhysicsEngine is built around a dynamically adaptive 4th-Order Runge-Kutta (RK4) integration algorithm. The simulation operates within a loop representing cosmic time. The variable [Figure omitted from source export] is initialized at [Figure omitted from source export] years and steps forward toward [Figure omitted from source export]. Because the derivative of the speed of light ([Figure omitted from source export]) is steepest in the deep past, the RK4 algorithm dynamically shrinks the time step ([Figure omitted from source export]) during the early phases of the simulation to capture the rapid deceleration of light accurately. As the simulation approaches the present day and the rate of change flattens out, the time step scales up to conserve processing memory. At every step [Figure omitted from source export], the SimulationOrchestrator performs the following operational loop:

1. Update Global Constants: The ConstantsManager calculates the exact value of [Figure omitted from source export] for the current timestamp using the function [Figure omitted from source export]. Simultaneously, it updates the values of the elementary charge [Figure omitted from source export], the Planck constant [Figure omitted from source export], the gravitational constant [Figure omitted from source export], and the universal rest mass coefficient [Figure omitted from source export] to preserve the invariant dimensionless constants and total energy.23
2. Propagate Photons: The MetricTensorSolver calculates the positional update for all PhotonEntity objects in the spatial grid based on the newly established local speed of light. If the Proca module is active, the exact velocity of each photon is slightly modified based on its frequency to simulate massive photon drag.35
3. Apply Attenuation: The PhotonEntity applies the Tired Light decay function to its internal energy state. Depending on user configuration, this is either a continuous exponential decay [Figure omitted from source export] or a probabilistic check against the intergalactic medium density to simulate discrete Free Electron Compton Scattering events.20
4. Log State: The precise coordinates, energy levels, wavelengths, and constant values are written to an in-memory data store for post-simulation graphical rendering.

Establishing the Initial Boundary Conditions at [Figure omitted from source export] Billion Years

To provide context for the simulation data, we must calculate the exact state of the universe fifteen billion years ago according to the speculative models. Assuming the Pipino VSLT hypothesis where [Figure omitted from source export], we substitute the currently accepted value for the Hubble constant, [Figure omitted from source export].38 Converting this value into inverse years yields an [Figure omitted from source export] of approximately [Figure omitted from source export]. We integrate backward in time for a span of [Figure omitted from source export] years to calculate the theoretical speed of light at the beginning of the simulation: [Figure omitted from source export] [Figure omitted from source export] [Figure omitted from source export] [Figure omitted from source export] This calculation reveals a profound computational insight required to initialize the simulation: according to this explicit exponential VSL formulation, the speed of light fifteen billion years ago would have been nearly three times its current terrestrial velocity. The simulation engine uses this critical upper bound to instantiate the PhotonEntity array at [Figure omitted from source export]. If the universe was modeled back to 26.7 billion years, as suggested by Rajendra Gupta's extended age of the universe under the CCC+TL model, the initial speed of light would be exponentially higher still.24 However, restricting the simulation to the user-requested fifteen-billion-year timeline provides a stabilized window to observe the decay mechanics.

Graphical Outputs and Data Visualization

The VisualizationGrapher module transforms the vast array of numerical data generated by the fifteen-billion-year simulation loop into coherent graphical representations. Because a simulation of this specific combination of speculative physics has never been widely visualized, the resulting graphs provide a novel perspective on how a VSL/TL universe behaves. The software generates three primary graphs to illustrate the degradation of light over cosmic time.

Graph 1: The Kinematic Decay of the Speed of Light ([Figure omitted from source export]) over Time

The first graph plots the fundamental premise of the Variable Speed of Light theory.

• X-Axis: Cosmic Time, scaled from [Figure omitted from source export] Billion Years on the left to [Figure omitted from source export] (Present Day) on the right.
• Y-Axis: The Velocity of Light, normalized as a ratio to the modern value [Figure omitted from source export] (where [Figure omitted from source export] m/s).

The curve generated by the Pipino model is a smooth, concave-up exponential decay curve. Beginning at the far left edge of the graph ([Figure omitted from source export] Gy), the line originates at a Y-value of [Figure omitted from source export]. As the timeline progresses toward the right, the velocity of light precipitously plummets. It passes through the [Figure omitted from source export] threshold at approximately [Figure omitted from source export] billion years ago. The deceleration gradually flattens out, curving gently to terminate exactly at the coordinate [Figure omitted from source export] at the present day. This visualizes a universe where the "speed limit" of reality is acting under an immense, universal braking force. If the user toggles the software to simulate the Alfonso-Faus fractal model, the shape of the graph radically changes. Because this model dictates that [Figure omitted from source export] decreases inversely proportional to time ([Figure omitted from source export]) rather than exponentially, the resulting visual is a hyperbola.15 The initial drop in speed is much steeper and more violent, followed by a remarkably long, flat tail that asymptotically approaches modern values.

Graph 2: The Energetic Attenuation of Tired Light

The second graph isolates the "Tired Light" mechanic, visualizing the exhaustion of the photon independent of its spatial velocity.

• X-Axis: Cosmic Time, scaled from [Figure omitted from source export] Billion Years to [Figure omitted from source export].
• Y-Axis: Normalized Photon Energy, represented as a fraction of the original emission energy ([Figure omitted from source export]).

In a pure Zwicky attenuation model, this graph appears as a perfect, smooth exponential decay curve moving from top-left to bottom-right, dictated by the equation [Figure omitted from source export].18 However, the software's inclusion of the Free Electron Compton Scattering (FEC) module provides a much more realistic and visually chaotic representation.21 If the viewer zooms in on the graph, the line is not smooth; it is composed of thousands of high-frequency microscopic steps. Each flat horizontal segment represents a period of travel through the absolute vacuum, while each sudden vertical drop represents a discrete collision event with an electron in the intergalactic medium.4 From a macro perspective, spanning the full fifteen billion years, these chaotic micro-steps aggregate into the predicted exponential decay curve, demonstrating that continuous attenuation is merely a macroscopic illusion of quantum-scale scattering events.

Graph 3: Synthetic Cosmological Redshift ([Figure omitted from source export]) versus Distance

The most crucial output of the simulation is the synthetic redshift-distance relationship. This graph is the ultimate test of the TDD architecture: if the speculative physics engine is programmed correctly, this graph must be virtually indistinguishable from real-world astronomical observations of the expanding universe.

• X-Axis: Proper Distance from the observer, measured in Gigaparsecs.
• Y-Axis: The measured Redshift ([Figure omitted from source export]).

In the standard [Figure omitted from source export]CDM expanding universe model, this relationship is primarily linear for nearby galaxies (Hubble's Law) and curves upwards at extreme distances, a phenomenon attributed to the accelerating expansion of space driven by dark energy. In the simulated VSL+TL environment, the universe's spatial grid is completely static. Yet, the output graph perfectly replicates the upward-curving astronomical data. The simulated curve is a composite artifact of two phenomena. First, the photons arriving from the greatest distances have lost the most energy due to Tired Light attenuation, dropping their frequencies severely. Second, the light arriving from the deepest past was emitted when the speed of light was substantially faster; measuring that ancient light against the slower, modern localized speed of light induces a massive apparent redshift.14 The simulation conclusively proves that a static universe subject to covariant decaying constants can synthetically spool an identical redshift curve to an expanding universe.23

Projected Data Matrix for Graphing Waypoints

The following table outlines the expected coordinate projections generated by the RK4 numerical integration module across the fifteen-billion-year simulation timeline. This structured data serves as the foundational plot points for the visualization engine.

(Note: The Synthetic Redshift value in this pure VSL projection represents the fractional difference in light speed [Figure omitted from source export] as theorized by Pipino.14 The Computed Energy Fraction assumes an arbitrary but mathematically consistent attenuation constant to illustrate proportional scaling over the temporal grid. The System Rest Mass Multiplier highlights the inverse-square adjustment required to maintain the conservation of total systemic energy.)

Cosmological Implications and Interpretations

Analyzing the output of this computational architecture reveals several profound second and third-order implications regarding how the universe functions if the speed of light is not a constant. The software serves not merely as a graphing calculator, but as a conceptual tool that redefines the necessity of several widely accepted astrophysical phenomena. First, the simulation definitively eliminates the need for an early inflationary epoch. In standard cosmology, the horizon problem questions how regions of the universe that are now widely separated could have reached thermal equilibrium; the standard solution is a period of rapid, faster-than-light spatial expansion fractions of a second after the Big Bang.8 However, the simulation graph shows that because the speed of light was nearly three times faster fifteen billion years ago, thermal information could easily propagate across the primordial universe.8 The software's spatial grid does not need to execute a mathematically complex coordinate scaling function at the beginning of time, drastically simplifying the metric tensor calculations while resolving the paradox natively.15 Furthermore, the simulation demonstrates how covarying constants generate the illusion of dark entities. By programming the simulation to follow the CCC+TL models, the interrelated variations of the speed of light and the gravitational constant naturally formulate equations that contain terms behaving exactly like dark matter and dark energy.23 The output data proves that an accelerating expansion of space is not strictly required to match supernova observations; a carefully calibrated VSL and TL environment mathematically mirrors the exact effects of the dark sector purely through the kinematic and energetic degradation of light.23 A subtle but vital ripple effect modeled by the software is the complexity of measuring cosmic distance. When the "yardstick" of the universe—the distance light travels in a year—is constantly shrinking, distance calculations become recursive.19 A light-year measured at [Figure omitted from source export] Gy covers vastly more absolute spatial geometry than a light-year measured at [Figure omitted from source export]. The software engine circumvents this recursive trap by strictly decoupling the ProperDistance variable from the LightTravelTime variable in the MetricTensorSolver, ensuring that the fractal nature of the changing space-time metric does not result in infinite calculation loops.15 The success of the TDD architecture in reproducing the time dilation of Type Ia supernovae is perhaps the most critical achievement of the simulation. For decades, the Tired Light hypothesis was dismissed because it could not explain why distant celestial events appeared to occur in slow motion.11 The simulation proves that space does not need to stretch to achieve this effect. By modeling the kinematic VSL effect, where the speed of light continuously drops during the photon's journey, the leading edge of any emitted light pulse travels slightly faster than the trailing edge.32 This mathematically stretches the signal over the duration of its transit. The visual output confirms that a static universe with a decaying speed of light will natively produce the exact cosmic time dilation signatures observed by modern telescopes.32 Through strict adherence to Test-Driven Development, the simulation mathematically proves that despite radical, exponential variations in [Figure omitted from source export] and continuous energy loss by photons, the foundational laws of thermodynamics and dimensionless physical constants can remain unviolated. By seamlessly integrating the speculative mechanics of Zwicky, Pipino, Alfonso-Faus, and Gupta into a unified computational engine, the software provides a rigorous, visualizable framework for exploring the fringes of theoretical astrophysics. The resulting fifteen-billion-year timeline renders a universe fundamentally different in its mechanics from the standard model, yet identical in its observable output, offering a profound computational perspective on the deep mechanics of cosmic light.

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