New Energy Sources for Space Propulsion: Pioneering Beyond Chemical Limits
Article Main Content
Conventional chemical propulsion systems have long served as the backbone of space exploration, yet they suffer from severe limitations in specific impulse and energy density. As humanity aspires to reach deeper into the solar system and beyond, the need for new energy sources for space propulsion becomes urgent. This paper explores novel and emerging energy sources that could revolutionize propulsion systems, including nuclear fusion, antimatter-catalyzed propulsion, beamed energy, plasma-based systems, and quantum vacuum manipulation. By reviewing cutting-edge developments and proposing hybrid architectures, the paper presents an integrated framework for future propulsion strategies capable of achieving interstellar missions.
Introduction
Human spaceflight has reached a critical juncture. Missions to Mars, asteroid mining, and long-duration orbital habitats demand energy-efficient propulsion systems that far exceed current capabilities [1]. Traditional chemical rockets, while effective for launch and Earth orbit insertion, fail to provide the sustained thrust and energy efficiency required for interplanetary or interstellar travel. Therefore, the investigation of new energy sources is no longer a theoretical exercise—it is a prerequisite for spacefaring civilizations.
Chemical propulsion remains the most mature and historically dominant method for achieving spaceflight [2]. It operates on the principle of converting the chemical energy stored in fuel-oxidizer combinations into kinetic energy by means of combustion. The high-pressure, high-temperature gases produced from the combustion process are expelled through a nozzle to produce thrust, in accordance with Newton’s third law of motion. The effectiveness of such propulsion systems is generally evaluated using the specific impulse (Isp), which measures the efficiency of the engine in terms of thrust produced per unit of propellant flow rate. For typical chemical rockets, the specific impulse ranges from about 250 seconds for solid propellants [3] to up to 450 seconds for advanced cryogenic liquid bipropellant systems such as liquid hydrogen and liquid oxygen [4].
Chemical propulsion systems can be broadly categorized based on the physical state of the propellants and the method of their storage and delivery [5]. Solid propulsion systems incorporate fuel and oxidizer in a single solid grain, offering simplicity and reliability but lacking in controllability once ignition occurs [6]. In contrast, liquid propulsion systems, which separate the fuel and oxidizer into different tanks and mix them in a combustion chamber, allow for greater control, including throttling and engine restart capabilities. Monopropellant systems, which utilize a single chemical that decomposes exothermically when passed over a catalyst, represent a simpler subset of liquid systems, though they typically offer lower performance. Hybrid propulsion systems attempt to combine the safety and storability of solid fuels with the controllability of liquid oxidizers, but they are still relatively less developed compared to the other two types.
Despite its widespread use, chemical propulsion suffers from intrinsic thermodynamic limitations. The maximum attainable exhaust velocity and therefore the specific impulse are capped by the enthalpy change of the chemical reactions involved. For example, the combustion of hydrogen and oxygen, one of the most energy-dense reactions used in rocketry, releases approximately 13 megajoules of energy per kilogram of reactants. This ceiling constrains the exhaust velocities to values around 4.5 kilometers per second, which in turn restricts the achievable Δv—the total change in velocity that a spacecraft can perform. The governing relation, expressed by the Tsiolkovsky rocket equation, shows that to achieve higher Δv, the mass of the propellant must grow exponentially relative to the payload, leading to an inherently inefficient scaling for long-range missions.
In contemporary applications, chemical propulsion remains indispensable for lifting payloads from Earth’s surface and for carrying out orbital insertion and maneuvering operations where high thrust is required over short durations. However, for missions that involve interplanetary travel or sustained thrust over long durations, the inefficiencies of chemical propulsion become prohibitively evident. The excessive propellant mass requirements, low energy efficiency, and lack of scalability for continuous operation make chemical propulsion unsuitable as a standalone solution for deep space exploration. These limitations have spurred interest in alternative propulsion methods that leverage higher energy densities and more efficient thrust generation mechanisms, marking a pivotal shift in the direction of space propulsion research.
Ion and Hall-effect thrusters represent a class of electric propulsion technologies that rely on electromagnetic fields to accelerate charged particles and generate thrust [7]. Unlike chemical propulsion systems that are limited by the energy content of molecular bonds, these systems are capable of achieving far higher specific impulses, routinely exceeding 1000 seconds and in some advanced configurations approaching or surpassing 10,000 seconds. This significant gain in efficiency, however, comes at the cost of substantially reduced thrust levels, making them more suitable for missions where long-duration, low-thrust propulsion is acceptable, such as station-keeping, deep-space cruising, or slow interplanetary transfers.
The operating principle of ion thrusters involves the ionization of a propellant, typically a noble gas like xenon, and the subsequent acceleration of these ions through an electrostatic field generated between a set of charged grids. Once the ions are expelled at high velocities, often exceeding 30 kilometers per second, they produce a reactive force on the spacecraft. To maintain charge neutrality, electrons are simultaneously ejected into the ion stream using a neutralizer cathode. The resulting thrust, though minuscule in comparison to chemical rockets, is applied continuously over long periods, allowing for gradual but substantial velocity changes with minimal propellant consumption.
Hall-effect thrusters, while conceptually related to ion thrusters, use a slightly different mechanism for ion acceleration. In a Hall thruster, a radial magnetic field and an axial electric field are applied in such a way that electrons are trapped in a circular Hall current while ions drift toward the exit of the thruster. The trapped electrons serve to ionize the incoming neutral gas, and the resulting ions are then accelerated out of the thruster by the electric field. Hall thrusters are generally simpler and more robust than ion engines, making them favorable for commercial satellite operations and small spacecraft that require efficient maneuvering capabilities in low Earth orbit and geostationary transfer orbits.
The primary advantage of these electric propulsion systems lies in their remarkably low propellant consumption, which enables spacecraft to carry smaller quantities of fuel and larger payloads. This advantage is crucial in missions that are not constrained by time but are highly sensitive to mass and energy efficiency. However, their low thrust-to-weight ratios and reliance on external power sources, such as solar panels or nuclear-electric generators, limit their applicability in scenarios where high instantaneous acceleration is necessary. Additionally, issues such as grid erosion in ion thrusters, plume divergence, and interactions with spacecraft surfaces and electronics present ongoing engineering challenges.
Despite these limitations, ion and Hall-effect thrusters have seen growing adoption in both governmental and commercial missions. NASA’s Deep Space 1 and Dawn spacecraft successfully demonstrated the feasibility of ion propulsion in interplanetary travel, achieving large cumulative Δv values over extended periods. Meanwhile, Hall-effect thrusters have become standard components in satellite constellations and geosynchronous station-keeping operations. As advances in high-efficiency power generation and thermal management continue, the role of electric propulsion is poised to expand further, particularly in hybrid systems that combine different modes of propulsion for different mission phases.
Nuclear thermal propulsion (NTP) represents a middle ground between traditional chemical propulsion and more speculative or advanced electric and fusion-based systems. Unlike chemical rockets, which derive thrust from the combustion of propellants, NTP systems rely on the immense thermal energy produced by nuclear fission reactions to heat a working fluid—typically liquid hydrogen—to extremely high temperatures. This superheated fluid is then expanded through a nozzle to generate thrust. The fundamental efficiency of such systems is measured, as with all propulsion systems, by specific impulse. Nuclear thermal rockets are capable of achieving specific impulses in the range of 850 to 950 seconds [8], roughly twice that of conventional chemical rockets, thus offering a significant improvement in propellant efficiency without sacrificing the thrust levels necessary for crewed missions and large payload transfers.
The basic configuration of an NTP engine involves a compact nuclear reactor that serves as the heat source, often employing uranium-235 or uranium-233 as fissile material [9]. The reactor is designed to operate at temperatures exceeding 2500 Kelvin, with the heat generated by the fission chain reaction being transferred directly to the propellant via conduction and radiation through fuel elements [10]. The heated hydrogen propellant expands rapidly, exits through a convergent-divergent nozzle, and produces thrust. Because hydrogen has the lowest molecular weight among gases, it provides the maximum exhaust velocity for a given energy input, making it the optimal propellant from a thermodynamic standpoint.
One of the key advantages of nuclear thermal propulsion lies in its ability to provide high thrust while maintaining much greater fuel economy compared to chemical rockets. This makes it especially well-suited for missions that require large velocity changes over long durations, such as crewed missions to Mars or other deep-space destinations. NTP systems also offer the potential for continuous operation and flexibility in trajectory design, enabling faster transit times and greater radiation shielding due to reduced time spent in deep-space environments. Moreover, because NTP does not require solar input, it remains effective even in regions of the solar system where solar flux is insufficient to power electric thrusters.
However, the development and deployment of nuclear thermal propulsion technologies are encumbered by substantial technical, political, and environmental challenges. One of the foremost concerns is reactor safety, particularly in the context of launch failures or accidents that could disperse radioactive material into the atmosphere. Mitigating this risk requires extremely robust containment designs and launch protocols, as well as international agreements governing the use of nuclear materials in space. Another significant challenge is the management of waste heat generated during reactor operation, especially in the vacuum of space where radiative cooling is the only viable method of heat dissipation. Additionally, material degradation at extreme temperatures and neutron irradiation must be addressed to ensure long operational lifetimes.
Historically, the most notable demonstration of NTP capability came from the United States’ NERVA (Nuclear Engine for Rocket Vehicle Application) program during the 1960s and early 1970s [11], [12]. Although the program was cancelled before any space deployment, ground-based tests successfully validated reactor functionality, thermal performance, and thrust generation. More recently, renewed interest from NASA, DARPA, and international agencies has led to a resurgence in research and funding for NTP systems, with proposals for Mars transport architectures and lunar cargo delivery vehicles under active consideration [13].
Nuclear thermal propulsion stands out as a highly promising near-term alternative to chemical propulsion for deep-space missions. It balances high thrust and high efficiency in a way that no other current technology can, offering a practical stepping stone toward more ambitious interplanetary and interstellar missions. As advances in reactor miniaturization, material science, and policy frameworks converge, NTP may soon move from theoretical feasibility to operational reality, potentially transforming the scope and scale of human space exploration [14].
This paper investigates new energy paradigms that could transform space propulsion, with a focus on high energy density, scalability, and potential implementation timelines. We propose new theoretical frameworks where applicable and suggest directions for experimental validation.
Methods
Fusion-Based Propulsion
Fusion-based propulsion represents one of the most ambitious and potentially transformative technologies in the pursuit of advanced space travel [15]. By replicating the same fundamental reaction that powers stars, fusion propulsion systems promise to offer both immense energy density and high exhaust velocities, making them ideal candidates for long-duration, high-speed interplanetary and even interstellar missions. Unlike chemical or fission-based systems, fusion propulsion draws its energy from the merging of light atomic nuclei—typically isotopes of hydrogen such as deuterium and tritium—into heavier nuclei, releasing tremendous amounts of energy as dictated by Einstein’s mass-energy equivalence principle. Theoretically, fusion reactions can yield energy densities on the order of 100 million to 300 million joules per gram of fuel, surpassing chemical energy sources by several orders of magnitude.
The basic working principle of fusion propulsion involves heating a plasma—an ionized state of matter composed of free nuclei and electrons—until conditions are sufficient for fusion to occur [16]. These conditions generally require extremely high temperatures (in the range of tens to hundreds of millions of kelvins) and adequate confinement time for the reacting particles. Several candidate reactions have been proposed for propulsion purposes, with the deuterium-tritium (D-T) reaction being the most experimentally accessible due to its relatively high cross-section and lower ignition temperature [17], [18]. However, because the D-T reaction produces a high-energy neutron as a byproduct, it introduces challenges related to radiation shielding and thermal management. As a result, aneutronic reactions such as proton-boron-11 (p-B11), which produce charged particles instead of neutrons, are considered highly desirable for their reduced radiological hazards and improved energy conversion efficiency, albeit at the cost of requiring even more extreme plasma conditions [19], [20].
Among the most promising designs for practical fusion propulsion is the Direct Fusion Drive (DFD), currently under development by the Princeton Plasma Physics Laboratory. The DFD concept uses a field-reversed configuration (FRC), a type of compact magnetic confinement geometry, to sustain and control the fusion plasma [21]. The distinctive advantage of this architecture lies in its ability to simultaneously produce thrust and electric power from the same fusion core, enabling highly efficient integrated mission systems. In the DFD setup, a propellant such as helium or hydrogen is injected into the outer region of the plasma and heated by fusion byproducts before being expelled at extremely high velocities through a magnetic nozzle. This direct use of fusion energy for propellant heating eliminates the need for heavy intermediary power conversion hardware and significantly reduces the overall mass of the propulsion system [22].
The theoretical performance of fusion-based propulsion is particularly compelling. Specific impulses could range from 10,000 seconds to well over 100,000 seconds, depending on the configuration and reaction used. Exhaust velocities could exceed 100 kilometers per second, making rapid transit between planets and even neighboring stars within a human lifetime a conceivable goal. Moreover, since fusion fuels such as deuterium are widely available in seawater and lunar regolith, fusion propulsion also aligns with long-term visions of in-situ resource utilization for sustained space exploration.
However, the realization of fusion propulsion is constrained by formidable scientific and engineering challenges. Achieving and maintaining the necessary plasma confinement, avoiding instabilities, sustaining high reaction rates, and developing materials capable of withstanding the extreme thermal and radiation environment remain central difficulties. The energy input required to initiate fusion, often greater than the energy currently extractable from the reaction, presents an efficiency barrier that only recently has begun to be breached in experimental reactors like those at the National Ignition Facility (NIF) and the Joint European Torus (JET). Additionally, scaling down terrestrial fusion systems for use on spacecraft, while preserving net energy gain, poses further complexities in terms of mass, shielding, and fuel management.
In spite of these challenges, ongoing advances in magnetic confinement technologies, high-temperature superconductors, and pulsed power systems are steadily narrowing the gap between theoretical feasibility and engineering implementation. If fusion propulsion becomes viable within the coming decades, it could redefine the architecture of space missions by enabling fast, sustained, and scalable travel throughout the solar system and beyond. The profound leap in performance offered by fusion systems not only extends our reach but also minimizes exposure to deep space hazards, shortens mission timelines, and transforms what was once considered science fiction into a feasible engineering reality.
Antimatter-Catalyzed Propulsion
Antimatter-catalyzed propulsion [23] stands as one of the most theoretically potent and intellectually provocative approaches to space travel, harnessing the annihilation of matter and antimatter as a means to release energy on a scale unmatched by any other known physical process. In fundamental terms, when a particle of matter encounters its corresponding antiparticle—such as a proton with an antiproton or an electron with a positron—they annihilate each other completely, converting their entire rest mass into energy, as described by the equation E = mc2. This results in an energy yield of approximately 9 × 1016 joules per kilogram, which is several orders of magnitude greater than that of chemical or even nuclear fusion reactions. The sheer energy density of antimatter makes it an incredibly attractive candidate for deep-space propulsion, particularly in missions that aim to reach the outer planets, the Kuiper Belt, or even nearby star systems within a human-relevant timeframe [24].
Although pure antimatter propulsion—where annihilation reactions directly produce thrust—has often been envisioned in science fiction, the practical limitations of antimatter production and storage currently render such designs infeasible. Instead, one of the most promising and physically plausible uses of antimatter is as a catalytic agent in initiating nuclear fusion reactions. This approach, known as antimatter-catalyzed micro-fusion, involves the injection of small quantities of antimatter, particularly antiprotons, into a target composed of fusion fuel such as deuterium and tritium. When the antiprotons come into contact with the nuclei in the target, they annihilate with the protons or neutrons, releasing pions and gamma radiation, which deposit energy locally and rapidly compress the fuel pellet. This rapid energy deposition causes the fuel to reach fusion ignition conditions without the need for external confinement systems such as magnetic fields or lasers. Essentially, antimatter serves as a micro-trigger for fusion, bypassing some of the engineering difficulties that plague traditional inertial or magnetic confinement fusion systems.
The unique advantage of antimatter-catalyzed propulsion lies in its ability to deliver short bursts of extremely high energy in a compact configuration. Because only a few nanograms of antimatter are needed to initiate each micro-explosion, the system can be designed as a pulsed propulsion engine, generating discrete thrust events akin to internal detonations. These fusion microbursts could be channeled through magnetic nozzles to produce directed thrust with high specific impulse and moderate-to-high thrust levels, effectively combining the strengths of both chemical and electric propulsion. Moreover, the process is inherently scalable, making it suitable for a variety of mission profiles—from fast interplanetary transfers to interstellar probes.
However, the implementation of antimatter-based systems faces daunting challenges that are both scientific and logistical in nature. The production of antimatter is currently extremely inefficient and expensive; generating just one microgram of positrons or antiprotons requires vast amounts of energy and particle accelerator time. Facilities such as CERN can produce antiprotons only in quantities of a few nanograms per year, and the cost of a single gram of antimatter, if it could be manufactured, would exceed hundreds of trillions of dollars at current energy prices. Furthermore, once produced, antimatter must be stored without contact with normal matter, necessitating complex magnetic and electrostatic traps known as Penning or Paul traps. These containment systems must operate under ultra-high vacuum and cryogenic conditions, adding significant complexity and mass to any space-based implementation.
In addition to production and storage limitations, there are serious safety concerns surrounding the use of antimatter in propulsion. Any failure in the containment system could lead to catastrophic release of energy, posing both a technical and ethical risk in populated or orbital environments. There is also the issue of radiation shielding, as antimatter annihilation and the subsequent fusion reactions produce intense bursts of high-energy radiation, including gamma rays and energetic neutrons. Protecting spacecraft electronics and human occupants from this radiation would require substantial shielding, which in turn increases the mass of the vehicle and offsets some of the performance benefits.
Antimatter-catalyzed propulsion remains a subject of serious scientific inquiry. Studies by NASA’s Institute for Advanced Concepts (NIAC) and proposals by researchers at institutions like Penn State and Los Alamos National Laboratory have sketched out conceptual designs for antimatter-triggered fusion engines and hybrid fission-fusion systems. While these concepts are far from ready for deployment, the extraordinary performance potential of antimatter catalysis ensures that it remains a key area for long-term research, particularly as advances in particle physics, miniaturization, and energy systems continue to evolve. If the technical and economic barriers to antimatter utilization can be overcome, this technology could enable propulsion systems capable of achieving velocities approaching a significant fraction of the speed of light, thereby opening the gateway to practical interstellar exploration.
Beamed Energy Propulsion
Beamed energy propulsion presents a fundamentally different approach to space travel by externalizing the energy source rather than carrying it onboard the spacecraft. In contrast to chemical, electric, or nuclear propulsion systems that require the vehicle to store and process energy internally, beamed propulsion systems rely on high-intensity energy beams—typically lasers or microwaves—generated from a distant ground-based or orbital station [25]. This energy is directed toward the spacecraft, where it is received and converted into thrust. The defining advantage of this method lies in its ability to drastically reduce the mass and complexity of the spacecraft, allowing for lighter payloads and faster acceleration, particularly in the context of interstellar probes or ultra-fast transit vehicles [26].
The most well-known implementation of beamed propulsion is the light sail concept, wherein a spacecraft is equipped with a highly reflective, ultralight sail that absorbs momentum from incident photons [27]. Despite having no propellant onboard, the spacecraft can achieve acceleration through the continuous radiation pressure exerted by the laser or microwave beam. Although the individual momentum carried by a photon is minuscule, the cumulative effect of a powerful and sustained beam—on the order of tens to hundreds of gigawatts—can, over time, accelerate a low-mass spacecraft to significant fractions of the speed of light. The theoretical foundation for this mechanism is rooted in Maxwell’s equations and the conservation of momentum, with the force generated by photon pressure described by F = P/c where P is the beam power and c is the speed of light. This relationship underscores the need for very high power outputs to generate appreciable thrust, given the inverse proportionality to the speed of light.
A notable and ambitious initiative utilizing this concept is the Breakthrough Starshot program, which envisions sending gram-scale spacecraft attached to nanometer-thin light sails to nearby star systems, particularly Alpha Centauri. In this vision, an Earth-based or lunar laser array would deliver energy to the sail over a period of minutes, accelerating the probe to approximately twenty percent of the speed of light. Although the concept is technologically demanding, it offers the tantalizing possibility of reaching neighboring stars within a human lifetime, something unachievable by any currently deployed propulsion system.
Other forms of beamed energy propulsion extend beyond the light sail. Concepts such as microwave thermal propulsion propose using the beamed energy to heat a working fluid onboard the spacecraft, which then expands through a nozzle to generate thrust in a manner similar to nuclear thermal rockets. Yet another class of proposals involves photovoltaic or rectenna arrays that convert the incoming energy into electricity, which in turn powers electric propulsion systems such as ion or Hall-effect thrusters. These hybrid configurations provide greater flexibility in mission profiles, enabling both high-efficiency cruise phases and burst maneuvering capability when needed.
While the theoretical advantages of beamed energy propulsion are profound—offering potentially unlimited delta-v, reduced spacecraft mass, and scalability to various mission types—the practical implementation is encumbered by several critical challenges. First and foremost is the requirement for extremely high-precision beam steering and tracking over astronomical distances. Any misalignment of the beam with respect to the receiving sail could result in loss of thrust or catastrophic damage to the craft. The sail material must also be engineered to withstand intense energy fluxes without degradation, tearing, or overheating, all while remaining ultra-light and reflective. Atmospheric distortion, diffraction limits, and energy loss during transmission further complicate the use of Earth-based stations, often necessitating orbital or lunar installations where such disturbances can be mitigated.
Another limitation arises from the inherently low thrust levels achievable through photon pressure, making the technology unsuitable for missions requiring high initial acceleration, such as planetary launch or rapid escape from gravitational wells. Moreover, once the spacecraft is beyond the effective range of the energy source, deceleration becomes a significant issue unless a secondary beam source or onboard propulsion is available at the destination. As such, most current concepts for beamed propulsion are one-way, flyby-style missions unless symmetrical infrastructure is established on both ends of the journey.
Beamed energy propulsion continues to draw interest from research communities, defense agencies, and private foundations due to its elegant physics, radical performance potential, and the absence of reaction mass constraints. As breakthroughs in high-power laser technology, beam collimation, and nanomaterials continue, beamed propulsion may eventually evolve from an experimental concept into a practical method for rapid, lightweight missions within and beyond the solar system.
Plasma and Magnetoplasmadynamic Propulsion
Plasma-based propulsion systems, and in particular magnetoplasmadynamic (MPD) thrusters, represent a compelling and physically grounded path forward for advanced space propulsion, especially in missions that demand high exhaust velocity and moderate thrust over sustained durations. These systems leverage the dynamic behavior of plasma—the fourth state of matter composed of ions and electrons—to generate propulsion through electromagnetic interactions. By using strong electric and magnetic fields, MPD thrusters accelerate ionized gases to extremely high velocities, producing thrust with significantly higher specific impulse than chemical rockets and even many traditional electric propulsion systems. The theoretical framework for MPD propulsion is grounded in the Lorentz force law, which states that a charged particle moving in a magnetic field experiences a force proportional to the cross product of the electric current and the magnetic field vector. Mathematically, this is expressed as , where is the current density and is the magnetic field.
In a typical MPD thruster configuration, a high-current electric arc is established between a central cathode and an annular anode, both of which are immersed in a flowing propellant—often argon, xenon, or lithium—that has been partially or fully ionized. When current flows through the plasma, it generates a self-induced magnetic field. The interaction of this current with the magnetic field produces an azimuthal Lorentz force that accelerates the plasma axially out of the nozzle, thereby generating thrust. This mechanism allows MPD thrusters to reach specific impulses in the range of 2,000 to 10,000 seconds, with exhaust velocities often exceeding 50 kilometers per second. Because of their ability to produce higher thrust levels than ion or Hall-effect thrusters, MPD systems are particularly well suited for deep-space missions involving heavy payloads, such as cargo transport to Mars or outer planet exploration.
One of the defining characteristics of MPD propulsion is its scalability. By increasing the current and magnetic field strength, or by optimizing electrode geometry and propellant flow rate, the system can be tailored to match specific mission requirements. In theory, MPD thrusters can produce both high thrust and high efficiency simultaneously, positioning them as versatile candidates for a wide range of space operations. Moreover, they can operate continuously over extended periods, making them ideal for slow-spiral orbital transfers or sustained interplanetary cruise phases. Unlike chemical propulsion, which operates in short, impulsive burns, MPD propulsion systems offer a continuous mode of acceleration that aligns well with the physics of long-duration space travel.
However, the transition of MPD propulsion from laboratory research to operational readiness has been hindered by several technical and material limitations. One of the most persistent challenges is the erosion of the cathode and anode due to the intense heat and plasma bombardment. Electrode erosion not only reduces engine lifespan but also introduces contaminants into the exhaust plume, affecting performance and stability. Advances in materials science—particularly in the development of refractory metals, self-healing surfaces, and erosion-resistant coatings—are crucial to overcoming this barrier. Additionally, MPD systems require high levels of electrical power to operate effectively, typically in the range of tens to hundreds of kilowatts. Supplying this power in space demands either large solar arrays or compact nuclear-electric power sources, both of which introduce additional mass and complexity to the spacecraft design.
Another factor to consider is plume divergence and its impact on spacecraft control. The exhaust plume of an MPD thruster can spread over a wide angle, reducing thrust efficiency and potentially interacting with spacecraft surfaces or sensitive instrumentation. Improved magnetic nozzle designs and active plume steering techniques are currently being investigated to address this issue. Furthermore, the electromagnetic fields generated by MPD operation can induce interference with onboard electronics and navigation systems, requiring careful electromagnetic compatibility (EMC) planning and shielding.
Research into MPD propulsion continues to yield promising results. Experimental thrusters developed by agencies such as NASA, JAXA, and ESA have demonstrated efficient plasma acceleration in vacuum test facilities, and ground-based studies have validated several operational principles needed for space deployment. Future missions may benefit from hybrid propulsion architectures in which MPD thrusters are employed in tandem with lower-power electric thrusters or chemical kick stages to optimize performance across different phases of the journey. As power availability in space improves—through next-generation solar concentrators or space-qualified fission reactors—MPD propulsion is likely to play an increasingly central role in enabling high-efficiency, high-mass transport across the solar system.
Quantum Vacuum Propulsion
Quantum vacuum propulsion is a highly speculative but intellectually captivating domain in the search for revolutionary propulsion systems [28], drawing upon phenomena at the interface of quantum field theory, relativistic physics, and advanced engineering. The central idea behind quantum vacuum propulsion is the possibility of extracting momentum or usable energy from the quantum vacuum—an apparently empty space that, according to modern physics, teems with transient energy fluctuations and virtual particles. In conventional understanding, the vacuum is not truly empty; rather, it exhibits a seething background of energy due to the Heisenberg uncertainty principle, which allows for the brief emergence of particle-antiparticle pairs. These fleeting excitations of the quantum field have measurable physical consequences, as evidenced by phenomena such as the Casimir effect, the Lamb shift, and the Unruh radiation—all of which suggest that the vacuum can exert real forces under specific boundary conditions.
Several speculative propulsion concepts have emerged from attempts to exploit this quantum substrate. Among the most well-known is the so-called EM Drive, a resonant cavity thruster that allegedly produces thrust without expelling any reaction mass. The basic premise involves a closed, asymmetric microwave cavity into which electromagnetic waves are injected. Proponents have claimed that the interference patterns within the cavity create a net force in a preferred direction, violating or circumventing the traditional conservation of momentum. Although the underlying mechanism remains unexplained within the framework of classical electrodynamics and relativistic mechanics, early experimental reports—some conducted under vacuum conditions—suggested measurable albeit minuscule thrusts. However, subsequent investigations by independent laboratories have largely failed to reproduce these results under controlled conditions, and many physicists attribute the observed effects to experimental artifacts such as thermal drift, electromagnetic leakage, or vibration coupling.
Another line of inquiry considers the possibility of generating thrust by manipulating the vacuum energy density itself. Theoretical proposals such as dynamic Casimir propulsion or Unruh radiation-based drives posit that rapidly accelerating mirrors or objects might interact asymmetrically with the quantum field, resulting in a net exchange of momentum. These concepts are deeply rooted in advanced quantum field theory and require experimental conditions far beyond current technological reach, such as near-light-speed oscillations or extremely precise boundary configurations at nanometer scales. While fascinating in their theoretical implications, these ideas remain largely untested and are often criticized for lacking a clear mechanism by which energy and momentum conservation laws would be satisfied.
Despite the controversial nature of quantum vacuum propulsion, its potential implications are profound. A propulsion system that does not rely on propellant—also known as a reactionless drive—would radically alter the constraints that govern space mission design. Eliminating the need to carry and expel reaction mass would free spacecraft from the tyranny of the rocket equation, allowing indefinite acceleration limited only by the onboard power supply. In such a scenario, deep-space missions could be executed with greater simplicity, lower mass, and much faster transit times. Theoretically, even interstellar voyages could become feasible if an energy-efficient, sustained interaction with the vacuum could be established and controlled.
However, the development of such a system would demand not just new technologies, but potentially new physics. To date, no peer-reviewed experimental result has unambiguously demonstrated propulsion from quantum vacuum effects in a way that withstands rigorous scrutiny and aligns with established conservation laws. The scientific community remains understandably cautious, emphasizing the need for transparent methodologies, independent replication, and theoretical coherence. The extraordinary nature of the claims necessitates an equally extraordinary level of empirical proof.
Nonetheless, interest in quantum vacuum propulsion persists in small but active segments of the aerospace research community. Agencies such as NASA’s Eagleworks Laboratories and Germany’s DLR have undertaken limited exploratory studies into these ideas, not necessarily with the expectation of near-term breakthroughs, but with the recognition that radical paradigm shifts often originate in theoretical outliers. As our understanding of the quantum vacuum deepens—through developments in quantum electrodynamics, cosmology, and high-energy physics—it remains an open question whether this invisible sea of energy might one day be tamed for propulsion. Until then, quantum vacuum propulsion remains a tantalizing possibility on the distant frontier of both physics and engineering.
Results
Given the inherent limitations and specialized advantages of each propulsion system discussed thus far, it is increasingly evident that no single technology—chemical, electric, nuclear, or speculative—offers a universally optimal solution for all mission phases in deep-space exploration. Instead, a hybrid architecture that integrates multiple propulsion modalities across different mission segments presents the most promising path forward. Such an approach acknowledges the distinct physical constraints of launch, orbit insertion, interplanetary transfer, and orbital capture, and leverages the strengths of various propulsion technologies at each phase to maximize overall mission efficiency, safety, and adaptability.
The first phase of most space missions—launch from the surface of a planet—requires extremely high thrust to overcome gravitational forces and atmospheric drag. At present, only chemical propulsion systems, with their high thrust-to-weight ratios and matured infrastructure, are capable of achieving this goal efficiently. However, innovations such as electromagnetic launch systems, space elevators, or suborbital mass drivers may one day supplement or even replace chemical rockets for surface-to-orbit transport, significantly reducing the energy cost and environmental footprint of escaping Earth’s gravity well. In the nearer term, chemical rockets will continue to dominate this initial phase, but with growing interest in integrating reusable architectures and green propellants to improve sustainability.
Once in orbit or at a staging point in low-Earth or cislunar space, the mission can transition to a different propulsion system better suited for in-space travel. For high-mass cargo transfer or rapid transit missions to Mars or the outer planets, nuclear thermal propulsion (NTP) or magnetoplasmadynamic (MPD) thrusters provide a compelling balance of thrust and efficiency. The high specific impulse of these systems allows for significant reductions in propellant mass, extending range and enabling faster travel without the need for excessive fuel loads. For missions with longer durations or lower urgency—such as deploying large observatories, deep-space telescopes, or robotic infrastructure—electric propulsion systems like ion or Hall-effect thrusters may be employed, offering superior fuel economy at the expense of slower acceleration.
During cruise phases, particularly in interplanetary or interstellar missions, the architecture may pivot again. Fusion-based propulsion systems, if successfully developed, could serve as the backbone for rapid transit between celestial bodies. Their combination of high thrust and extremely high exhaust velocity would drastically shorten mission durations while allowing continuous acceleration over long periods. If technological maturity and safety concerns are addressed, antimatter-catalyzed propulsion systems could play a transformative role in future deep-space transportation networks, especially in missions demanding unprecedented speed and energy density. Beamed energy propulsion, while better suited to lightweight or unmanned craft due to its low onboard mass, could also contribute to high-speed flyby missions or function as an auxiliary acceleration system for larger spacecraft during early mission phases.
Critically, the integration of these technologies into a single mission architecture would not be static or monolithic. Instead, it would be adaptive, with propulsion systems activated, deactivated, or even detached depending on the mission’s evolving requirements. This modular approach enables redundancy, flexibility, and optimization in both planning and execution. For instance, a crewed Mars mission could begin with a chemical launch vehicle, switch to a nuclear-powered tug for transit, employ ion thrusters for orbital insertion and fine maneuvers, and use surface landers equipped with cryogenic propulsion or even local resource utilization technologies for descent and return.
A true hybrid framework also opens the door to using emerging energy delivery methods such as orbital power beaming, in which satellites or lunar bases transmit energy to spacecraft via lasers or microwaves, powering electric or thermal thrusters without requiring onboard energy storage. Similarly, spacecraft capable of harnessing ambient solar or interstellar medium energy could extend operational range without mass penalties. This distributed, multi-modal propulsion paradigm aligns with broader trends in space systems engineering that emphasize interoperability, autonomy, and long-term sustainability.
Ultimately, the hybrid architecture model reflects a recognition of both the diversity of propulsion technologies and the complexity of modern space missions. Rather than seeking a singular breakthrough to replace all existing systems, it embraces a systems-level view, wherein innovation is achieved through the intelligent orchestration of multiple, complementary technologies. As missions become more ambitious—reaching to Mars, the asteroid belt, or even Proxima Centauri—the ability to deploy flexible, scalable propulsion infrastructures will be essential to transforming space exploration from a series of isolated ventures into a continuous, evolving human presence beyond Earth.
Discussion
A meaningful evaluation of the proposed propulsion technologies must extend beyond qualitative descriptions and embrace quantitative comparisons across key performance metrics. These metrics include specific impulse, thrust-to-weight ratio, energy density, power requirements, maturity level, and scalability. By juxtaposing these figures across technologies, it becomes evident that each system occupies a particular niche in the broader landscape of space propulsion. No single system outperforms others across all dimensions; rather, each offers a unique constellation of benefits and trade-offs shaped by underlying physics and technological readiness.
Specific impulse, the standard measure of propulsion efficiency, reveals the most striking differences among the various systems. Chemical propulsion, though powerful and well-established, offers specific impulses in the relatively low range of 250 to 450 seconds. In contrast, nuclear thermal propulsion nearly doubles this performance, operating in the range of 850 to 950 seconds. Electric propulsion systems, including ion and Hall-effect thrusters, routinely achieve specific impulses between 1,000 and 10,000 seconds, while advanced plasma-based systems like MPD thrusters can match or exceed these values under high-power conditions. Fusion-based propulsion stands in an entirely different class, with theoretical specific impulses spanning 10,000 to over 100,000 seconds, depending on the reaction mechanism and exhaust configuration. Antimatter-catalyzed systems, should they become viable, could exceed even these numbers by orders of magnitude, with estimated specific impulses approaching 1,000,000 seconds, owing to the relativistic exhaust velocities achievable through matter-antimatter annihilation. Beamed energy propulsion, which technically requires no onboard propellant, offers an effectively infinite specific impulse, constrained instead by beam control, sail integrity, and power transmission limits.
When thrust levels are considered, however, the hierarchy changes dramatically. Chemical rockets produce thrust on the order of millions of newtons, making them indispensable for planetary launch and rapid maneuvering. Nuclear thermal engines also provide significant thrust—though somewhat lower—while retaining much higher efficiency. Electric propulsion systems, by contrast, generate thrust in the millinewton to newton range, which is acceptable only for missions where acceleration is spread over weeks or months. Fusion propulsion could, in principle, offer a balance of high specific impulse and moderate thrust, with sustained power outputs that enable deep-space missions to be completed in months rather than years. Antimatter-based systems, too, hold potential for high thrust through pulsed microfusion detonations, but the engineering for this remains speculative. Beamed propulsion typically yields extremely low thrust, suitable only for ultralight spacecraft, though it compensates through continuous external energy input.
Energy density further distinguishes these systems. Chemical propellants provide modest energy densities—typically around 13 to 50 megajoules per kilogram, limited by molecular bond enthalpy. Nuclear thermal systems vastly outperform this baseline, drawing upon uranium-based reactions with energy densities exceeding 80,000,000 megajoules per kilogram. Fusion reactions increase this figure by another order of magnitude, with deuterium-tritium reactions yielding nearly 350 terajoules per kilogram. Antimatter represents the theoretical pinnacle, with one gram of antimatter releasing nearly 90 terajoules upon annihilation with an equal mass of matter. Beamed energy systems, while not directly comparable in energy density terms, gain advantage from external energy sources, freeing the spacecraft from fuel mass constraints and redefining the propulsion paradigm entirely.
Technology readiness level (TRL) and development feasibility are perhaps the most important practical considerations. Chemical and electric propulsion systems are flight-proven and routinely deployed. Nuclear thermal propulsion, while not yet flight-tested, has a well-documented heritage from the NERVA program and has seen renewed development interest. Fusion propulsion remains in the experimental phase, with devices like the Direct Fusion Drive and related field-reversed configurations still years from in-space demonstration. Antimatter propulsion is at an even earlier stage, limited largely to laboratory-scale antimatter production and theoretical studies. Quantum vacuum propulsion, while imaginative, currently lacks reproducible experimental support and resides at the edge of mainstream physics. Beamed propulsion, although not entirely speculative, demands the construction of large-scale infrastructure, such as orbital laser arrays or lunar-based transmitters, which remains an open engineering and policy challenge.
Ultimately, this comparative landscape reinforces the notion that propulsion technologies must be selected contextually, aligned with the specific objectives, constraints, and timelines of each mission. Low-Earth orbit satellite deployment, Mars cargo transport, and interstellar probe launches each impose very different performance demands. For short-duration, high-thrust requirements, chemical propulsion remains irreplaceable. For long-duration, fuel-efficient missions, electric and plasma-based systems offer compelling advantages. Nuclear and fusion systems emerge as ideal candidates for deep-space transport and human exploration, while beamed propulsion and antimatter engines beckon on the distant horizon of future capability.
As space exploration becomes more complex and multifaceted, embracing this diversity of propulsion methods—through intelligent architectural synthesis and robust engineering frameworks—will be critical. The frontier of propulsion is no longer about replacing one dominant technology with another, but about building a layered ecosystem of complementary capabilities that together extend the reach, flexibility, and resilience of humanity’s journey into the cosmos.
Conclusion
The pursuit of new energy sources for space propulsion marks one of the most transformative challenges in the ongoing evolution of human space exploration. As we reach the practical limits of chemical propulsion—bounded by thermodynamic constraints and diminishing returns on incremental improvements—the imperative to innovate becomes not only a matter of technical advancement, but a foundational necessity for future interplanetary and interstellar travel. This paper has explored a spectrum of emerging propulsion technologies, each rooted in distinct scientific principles and developmental trajectories, ranging from mature systems like electric and nuclear thermal propulsion to bold conceptual frontiers such as antimatter catalysis and quantum vacuum manipulation.
The analysis confirms that propulsion systems cannot be evaluated in isolation; instead, their utility emerges from how effectively they align with the mission context—whether it be low-Earth orbit maneuvering, planetary cargo delivery, crewed interplanetary voyages, or exploratory interstellar probes. Chemical propulsion retains its relevance as the workhorse for launch and short-duration, high-thrust maneuvers. Electric propulsion offers high-efficiency solutions for sustained, low-thrust missions where power and patience are abundant. Nuclear and fusion-based systems, though still evolving technologically, offer a powerful synthesis of efficiency and thrust for ambitious long-range missions. Even speculative systems like beamed propulsion and quantum drives—though distant in feasibility—remind us that innovation often begins in the realm of radical reimagination.
Perhaps the most actionable insight to emerge from this study is the recognition that hybrid propulsion architectures, combining multiple propulsion modalities across mission phases, will likely dominate the design of next-generation spacecraft. These architectures reflect a systems-level maturity in our approach to propulsion, treating energy sources not as static elements but as dynamic, mission-responsive components. Such modularity enables robustness against failure, optimization for diverse operational environments, and long-term adaptability in the face of evolving scientific priorities and budgetary constraints.
Looking ahead, the future of space propulsion will be shaped by a convergence of factors: advances in high-energy physics, breakthroughs in materials science, miniaturization of control and power systems, and above all, sustained institutional investment in long-horizon research. Experimental validation will play a central role in this trajectory. Whether through laboratory prototypes of magnetically confined fusion drives, beam alignment trials in orbital platforms, or deeper investigation into the structure of the quantum vacuum, progress will depend on a rigorous, open-minded scientific methodology. Simultaneously, policy and international cooperation will be crucial to navigate the regulatory, safety, and ethical considerations that accompany the deployment of high-energy technologies in space.
Moreover, the demand for more sustainable and reusable propulsion systems—ones that minimize propellant waste, reduce environmental impact, and integrate with closed-loop energy systems—will likely redefine how we conceive propulsion as part of a broader ecological and economic system in space. In this light, the development of in-situ resource utilization technologies, beamed energy networks, and autonomous power management architectures will become as essential to mission success as the propulsion mechanisms themselves.
The frontier of space propulsion is not a destination but a horizon—expanding as we push against it. The technologies discussed in this paper, from the physically proven to the theoretically postulated, represent not just a catalog of engineering possibilities but a roadmap to a multi-planetary and eventually interstellar future. As our understanding deepens and our capabilities grow, the engines that power our spacecraft will become the vessels of our greatest aspirations, enabling us to explore, inhabit, and perhaps one day thrive among the stars.
References
-
Grande M, Guo L, Blanc M, Alves J, Makaya A, Asmar S, et al. Enabling technologies for planetary exploration [Internet]. In Planetary Exploration Horizon 2061. Elsevier, 2023, pp. 249–329. doi: 10.1016/b978-0-323-90226-7.00002-7.
Google Scholar
1
-
Sutton GP, Biblarz O. Rocket propulsion elements. John Wiley & Sons; 2016.
Google Scholar
2
-
Hartman KO, Morrow S. Solid propellants [Internet]. In Encyclopedia of Physical Science and Technology. Elsevier, 2003, pp. 277–93. doi: 10.1016/b0-12-227410-5/00707-9.
Google Scholar
3
-
Zhang W, Zhang H, Wang B, Jiang W, Miao R, Huang Y. Liquefaction and filling of liquid methane and oxygen bipropellant in a common bulkhead tank equipped with a zero boil-off system. Cryogenics [Internet]. 2024 Oct;143:103943. doi: 10.1016/j.cryogenics.2024.103943.
Google Scholar
4
-
Martínez Martínez J, Lafleur T. On the selection of propellants for cold/warm gas propulsion systems. Acta Astronaut [Internet]. 2023 Nov;212:54–69. doi: 10.1016/j.actaastro.2023.07.031.
Google Scholar
5
-
Lichthardt JP, Tappan BC, De NN, Novak AM, Baca EV, Oschwald DM, et al. Novel segregated solid propulsion system with separately stored fuel and oxidizer. Propellants Explo Pyrotec [Internet]. 2022 Sep 16;47(11). doi: 10.1002/prep.202200142.
Google Scholar
6
-
Goebel DM, Katz I. Fundamentals of Electric Propulsion: ion and Hall Thrusters. Hoboken: John Wiley; 2008.
Google Scholar
7
-
Nam SH, Venneri P, Kim Y, Lee JI, Chang SH, Jeong YH. Innovative concept for an ultra-small nuclear thermal rocket utilizing a new moderated reactor. Nucl Eng Technol [Internet]. 2015 Oct;47(6):678–99. doi: 10.1016/j.net.2015.06.003.
Google Scholar
8
-
Peakman A, Lindley B. A review of nuclear electric fission space reactor technologies for achieving high-power output and operating with HALEU fuel. Prog Nucl Energy [Internet]. 2023 Sep;163:104815. doi: 10.1016/j.pnucene.2023.104815.
Google Scholar
9
-
Burns D, Johnson S. Nuclear thermal propulsion reactor materials. In IntechOpen eBooks. 2022. doi: 10.5772/intechopen.91016. Available from: IntechOpen.
Google Scholar
10
-
Holman R, Pierce B. Development of NERVA reactor for space nuclear propulsion [Internet]. 22nd Joint Propulsion Conference. Huntsville, AL (USA): American Institute of Aeronautics and Astronautics, 1986.
Google Scholar
11
-
Robbins W. An historical perspective of the NERVA nuclear rocket engine technology program [Internet]. Conference on Advanced SEI Technologies. Cleveland, OH (USA): American Institute of Aeronautics and Astronautics, 1991. doi: 10.2514/6.1991-3451.
Google Scholar
12
-
Shen D, Yue Y, Wang X. Manned mars mission analysis using mission architecture matrix method. Aerospace [Internet]. 2022 Oct 14;9(10):604. doi: 10.3390/aerospace9100604.
Google Scholar
13
-
Kumar S, Thomas LD, Cassibry JT. Nuclear thermal propulsion engine system trades for robotic missions. J Spacecr Rockets [Internet]. 2025 Apr 1;1–10. doi: 10.2514/1.a36308.
Google Scholar
14
-
Williams CH, Dudzinski LA, Borowski SK, Juhasz AJ. Realizing “2001: a space odyssey”: piloted spherical torus nuclear fusion propulsion. NASA/TM-2005-213559. 2005 Mar. Available from: https://ntrs.nasa.gov/api/citations/20050160960/downloads/20050160960.pdf.
Google Scholar
15
-
Aksakal H, Yildiz E. Plasma confinement and nuclear fusion. In IntechOpen eBooks. London (UK): IntechOpen Publisher, 2025. doi: 10.5772/intechopen.1010805.
Google Scholar
16
-
Baxshilloyev AN. Comparative analysis of D-T and D-He3 fusion for mars-bound spacecraft. AAST [Internet]. 2025;10(02):35–51. doi: 10.4236/aast.2025.102003.
Google Scholar
17
-
Mack JM, Berggren RR, Caldwell SE, Evans SC, Faulkner JR Jr, Lerche RA, et al. Observation of high-energy deuterium-tritium fusion gamma rays using gas Cherenkov detectors. Nucl Instrum Methods Phys Res Section A: Accelerators, Spectrometers, Detectors Assoc Equip. 2003 Nov;513(3):566–72. doi: 10.1016/s0168-9002(03)01930-2.
Google Scholar
18
-
Villari R, Litaudon X, Mailloux J, Dentan M, Fonnesu N, Ghani Z, et al. Overview of deuterium-tritium nuclear operations at JET. Fusion Eng Des. 2025 Aug;217:115133. doi: 10.1016/j.fusengdes.2025.115133.
Google Scholar
19
-
Shengqiang Z, Xinghua W, Qixiang C, Shen Q, Long Z, Fengchao Z, et al. Deuterium tritium fusion experiment device radiation shielding analysis and optimization. Front Energy Res [Internet]. 2025 May 6;13:13–22. doi: 10.3389/fenrg.2025.1581903.
Google Scholar
20
-
Cohen SA, Swanson C, McGreivy N, Raja A, Evans E, Jandovitz P, et al. Direct fusion drive for interstellar exploration. JBIS. 2019 Feb;72(2):38–50.
Google Scholar
21
-
Paluszek M, Pajer G, Razin Y, Slonaker J, Cohen S, Feder R, et al. Direct fusion drive for a human mars orbital mission [Internet]. Proceedings, International Astronautical Congress (AIC) IAC-12,C4,7-C3.5,10. Toronto, Canada: IAC, 2014. Available from: https://www.osti.gov/biblio/1182281.
Google Scholar
22
-
Lafleur T. Evaluation of solid-core thermal antimatter propulsion concepts. Acta Astronaut [Internet]. 2022 Feb;191:417–30. doi: 10.1016/j.actaastro.2021.10.045.
Google Scholar
23
-
Kammash T, Galbraith D. Antimatter-driven fusion propulsion scheme for solar system exploration. J Propulsion Power. 1992;8(3):644–9.
Google Scholar
24
-
Sheerin TF, Petro E, Winters K, Lozano P, Lubin P. Fast solar system transportation with electric propulsion powered by directed energy. Acta Astronaut [Internet]. 2021 Feb;179:78–87. doi: 10.1016/j.actaastro.2020.09.016.
Google Scholar
25
-
McDonald H, Chen KF. Laser thermal beamed energy propulsion feasibility study [Internet]. In AIAA SCITECH 2024 Forum. American Institute of Aeronautics and Astronautics, 2024. doi: 10.2514/6.2024-1810.
Google Scholar
26
-
Lingam M, Loeb A. Electric sails are potentially more effective than light sails near most stars. Acta Astronaut [Internet]. 2020 Mar;168:146–54. doi: 10.1016/j.actaastro.2019.12.013.
Google Scholar
27
-
Ioskevich A. Quantum propulsion: background and practical applications. EJPHYSICS [Internet]. 2024 Mar 7;6(2):1–9. doi: 10.24018/ejphysics.2024.6.2.294.
Google Scholar
28
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