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Perpetual motion

Perpetual motion refers to the hypothetical continuous operation of a machine or device that performs work indefinitely without any external energy input or net energy loss.^[1] Such devices are impossible in practice because they would violate fundamental physical laws, specifically the first and second laws of thermodynamics.^[2] Perpetual motion machines are categorized into two main types based on the thermodynamic principle they contravene. Machines of the first kind attempt to produce more energy than they consume, thereby violating the first law of thermodynamics, which states that energy can neither be created nor destroyed in an isolated system.^[3] In contrast, machines of the second kind seek to convert heat entirely into work with perfect efficiency, without increasing entropy, which contradicts the second law of thermodynamics that dictates the inevitable increase of disorder in isolated systems.^[4] The concept of perpetual motion has fascinated inventors for centuries, with one of the earliest known designs proposed by the 12th-century Indian mathematician Bhāskara II, who described a wheel with shifting weights intended to rotate endlessly.^[5] Numerous attempts followed in Europe during the Renaissance and beyond, including overbalanced wheels and capillary action devices, but all failed due to unforeseen energy losses from friction, air resistance, or material imperfections.^[6] By the 19th century, as thermodynamics gained rigor, scientists like Rudolf Clausius and William Thomson (Lord Kelvin) formalized the laws that definitively rule out such machines.^[7] In modern contexts, patent offices, including the United States Patent and Trademark Office, refuse to grant patents for perpetual motion devices unless a working model demonstrates operability, a policy formalized in the early 20th century to prevent frivolous claims.^[8] Despite this, pseudoscientific proposals persist, often relying on misunderstandings of magnetism, gravity, or quantum effects, but rigorous analysis consistently reveals hidden energy inputs or inefficiencies.^[9] The pursuit of perpetual motion underscores humanity's quest for unlimited energy, though it serves primarily as an educational tool for illustrating thermodynamic principles.^[10]

Fundamentals

Definition

A perpetual motion machine (PMM) is a hypothetical device that can operate indefinitely without an external energy source, producing mechanical work continuously while maintaining or increasing its own energy. Such machines are often envisioned as closed systems that recycle internal energy perfectly, but they fundamentally claim to output more energy than is input or to run forever without any net energy consumption, distinguishing them from real engines that require ongoing fuel or power sources to function.^[11] A classic example is the overbalanced wheel, a simple mechanical design featuring weights or balls on spokes that supposedly shift to create an imbalance, causing the wheel to rotate eternally without stopping.^[11] In this setup, the weights are intended to always provide greater torque on one side than the other, perpetuating motion through gravitational or inertial effects alone. Perpetual motion machines are classified into types based on the physical principles they purportedly violate. A PMM of the first kind produces work without any energy input, effectively creating energy from nothing and violating conservation principles.^[12] A PMM of the second kind, by contrast, extracts useful work from a single heat reservoir without temperature differences or waste heat, attempting to reverse natural entropy increases. These categories highlight the conceptual challenges in achieving endless operation.

Classification

Perpetual motion machines are classified into three main categories, with the first two based on the specific laws of thermodynamics they would violate if realized, and the third addressing the elimination of dissipative losses. This taxonomy provides a systematic framework for analyzing purported devices and their theoretical flaws. The classification emerged in the late 19th century as part of the development of thermodynamic principles, with the first two kinds formalized during that period and the third kind recognized later. A perpetual motion machine of the first kind is one that produces mechanical work without any net input of energy, thereby violating the first law of thermodynamics, which states the conservation of energy. In such a hypothetical device, the output work W would satisfy W > 0 despite no external energy supply, in direct contradiction to the conservation principle where the change in total energy \Delta E = 0. A classic example is the overbalanced wheel, where shifting weights are claimed to perpetually drive rotation by creating an imbalance without energy loss.^[13] A perpetual motion machine of the second kind extracts work from a single heat reservoir by fully converting thermal energy into mechanical work without rejecting any heat to a colder reservoir, violating the second law of thermodynamics and the associated increase in entropy. This type would enable a process where heat flows spontaneously from a cooler to a hotter body or achieves 100% efficiency in a heat engine, defying the entropy postulate. An illustrative example is a hypothetical device, such as one that operates as a heat engine drawing entirely from ambient heat without a cold sink, purporting to convert all thermal energy to work. A perpetual motion machine of the third kind aims to eliminate all forms of friction and dissipative forces, such as viscosity or drag, to maintain motion indefinitely with negligible energy dissipation after initial input. Unlike the first two kinds, it does not violate the laws of thermodynamics but seeks asymptotic approach to zero losses, which is theoretically conceivable under ideal conditions yet practically unattainable due to unavoidable quantum and environmental effects. Examples include designs using superconducting bearings, where magnetic levitation in a supercooled state minimizes mechanical friction to enable prolonged rotation.

Historical Context

Early Ideas

The concept of perpetual motion has roots in ancient civilizations, where early thinkers sought mechanisms that could sustain themselves indefinitely, often inspired by observations of natural cycles. In 7th-century India, the mathematician and astronomer Brahmagupta provided the earliest known description of such a device in his astronomical text Brahmasphutasiddhanta, envisioning a wheel made of light timber with uniformly hollow spokes at equal intervals, each filled with mercury to create an imbalance that would drive continuous rotation.^[14] This design aimed to symbolize the eternal motion of the heavens, reflecting a philosophical integration of mechanics and cosmology.^[15] Building on this tradition, the 12th-century Indian mathematician Bhāskara II refined the overbalanced wheel concept in his work Siddhāntasiromani, introducing curved, hollow spokes resembling the contour of the Tabernaemontana coronaria flower. In this mechanism, mercury within the spokes would shift asymmetrically: during descent, it followed a convex trajectory for rapid movement outward, while ascent involved a concave path that drew it toward the center prematurely, theoretically generating pulses to maintain rotation without external input.^[16] Bhāskara's sketch and explanation marked a significant early mechanical conceptualization, influencing later Arabic and European designs through transmitted knowledge.^[17] In ancient Greece, descriptions of self-sustaining water flows hinted at similar ideas, as seen in Herodotus' accounts of natural fountains that appeared to operate endlessly, such as the warm and cold springs in Ethiopia attributed to solar influence, which captivated observers with their apparent autonomy.^[18] These narratives, while rooted in natural phenomena rather than engineered devices, foreshadowed the allure of self-perpetuating systems in Western thought.^[19] During the medieval period, European interest emerged through architectural sketches, notably those of Villard de Honnecourt, a 13th-century French artist and engineer from Picardy, whose portfolio includes a rudimentary drawing of an overbalanced wheel with articulated arms or hinged hammers intended to swing outward and create perpetual torque.^[20] This design, traceable to earlier Arab influences, represented one of the first documented Western attempts at a mechanical perpetual motion device, blending practical engineering with speculative innovation.^[21] The Renaissance saw further exploration by polymath Leonardo da Vinci, who sketched multiple overbalanced wheel variants and rolling-ball circuits in his notebooks around 1490–1500, experimenting with elements like pivoting weights and tracks to achieve sustained motion.^[21] However, Leonardo ultimately rejected these pursuits as illusory, tersely dismissing them in his writings: "O speculators about perpetual motion, how many vain chimeras have you created!"—likening the endeavor to futile alchemical quests.^[21] His skepticism highlighted an emerging critical perspective amid ongoing fascination. Philosophically, early perpetual motion ideas intertwined with alchemy, where the pursuit of the philosopher's stone—believed to enable endless transmutation of base metals into gold—paralleled the dream of eternal machines harnessing hidden natural forces for unending operation.^[22] This connection, prominent from medieval times through the Renaissance, framed perpetual motion not merely as mechanical but as a metaphysical quest for infinity, often endorsed in scholarly circles when alchemy held legitimacy.^[19]

Modern Attempts

The 19th century witnessed a surge in perpetual motion claims amid the Industrial Revolution, as inventors sought efficient power sources to fuel expanding mechanized production and transportation. The era's emphasis on steam engines and early thermodynamics heightened interest in devices promising unlimited energy without fuel, though the formulation of the laws of thermodynamics in the mid-1800s ultimately demonstrated their impossibility. Earlier claims, such as Johann Bessler's 1712 wheel, have undergone modern scrutiny, with analyses concluding it operated via hidden mechanisms or fraud rather than perpetual motion.^[23] In the United States, the 1800s saw a wave of patent applications for such devices, driven by the nation's burgeoning industrial economy and lax initial patent standards; while an unknown number—estimated at around ten—were granted before the 1836 Patent Office fire, subsequent policies required working models, leading to widespread rejections.^[24] By the late 19th century, the U.S. Patent Office explicitly refused patents for perpetual motion machines without empirical proof of operation, curbing but not eliminating submissions.^[25] The 20th century brought notable examples, including Howard Johnson's magnetic motor in the 1970s, which purported to generate motion using permanent magnets and earned U.S. Patent 4,151,431 in 1979 despite skepticism; demonstrations failed to produce net energy gain, aligning with thermodynamic constraints.^[26] Similarly, Joseph Newman's "energy machine" in the 1980s claimed overunity output through electromagnetic coils, sparking prolonged legal battles with the U.S. Patent Office after its 1983 rejection for violating conservation laws; court rulings, including a 1985 Federal Circuit decision and a 1988 district court hearing, upheld the denial, emphasizing the need for scientific validation.^[27]^[28] Contemporary claims have proliferated through 21st-century online platforms like YouTube, where videos often promote homemade perpetual motion machines (PMMs) using magnets, fluids, or gravity, though most are revealed as illusions involving hidden power sources or editing tricks.^[29] Recent pseudoscientific assertions, such as 2020s devices extracting energy from the quantum vacuum or zero-point fields, have been debunked for misinterpreting quantum fluctuations as usable power, as they cannot yield net work without external input per established physics.^[30] These attempts have influenced alternative energy movements, fostering enthusiasm for "free energy" concepts but often resulting in financial losses from unviable investments and pseudoscientific promotions; the U.S. Patent and Trademark Office has rejected numerous perpetual motion applications since the 1800s, underscoring their consistent failure in rigorous testing.

Physical Impossibility

First Law of Thermodynamics

The first law of thermodynamics, a cornerstone of energy conservation, states that for a closed thermodynamic system, the change in internal energy \Delta U equals the net heat transfer Q to the system minus the net work W done by the system:

\Delta U = Q - W.

This equation reflects the principle that energy can neither be created nor destroyed, only transferred or converted between forms.^[31]^[32] The law was formulated in the mid-19th century, with Rudolf Clausius establishing its modern form in 1850 by introducing the internal energy function U and applying conservation principles to cyclic processes.^[33] William Thomson (later Lord Kelvin) further refined it in 1851, integrating energy conservation into the foundational structure of thermodynamics and emphasizing that the total energy of the universe remains constant.^[33] Their work built on earlier experimental validations by figures like James Joule, solidifying the rejection of energy creation in physical processes.^[33] This principle directly prohibits perpetual motion machines of the first kind, which are conceptualized as closed systems capable of producing net work indefinitely without any external energy input. In such a device, the absence of heat addition ([Q](/page/Q) = 0) in a closed system would require \Delta U = -[W](/page/W); however, for sustained operation over multiple cycles, the internal energy cannot continuously decrease without replenishment, as that would imply energy extraction from nothing. A simple derivation for a cyclic process—where the system returns to its initial state, so \Delta U = 0 over the cycle—yields [Q](/page/Q) = [W](/page/W). If [Q](/page/Q) = 0, then [W](/page/W) = 0, meaning no net work output is possible without energy input; any claimed positive [W](/page/W) would violate conservation by effectively creating energy.^[34]^[13] To illustrate, consider a hypothetical closed-loop engine operating through n identical cycles with no external heat or matter exchange. The first law requires the total change in internal energy to be zero: \sum \Delta U = 0 = \sum Q - \sum W. With \sum Q = 0, it follows that \sum W = 0, so the net work over all cycles balances to zero gain. A perpetual motion machine of the first kind claiming \sum W > 0 without \sum Q > 0 would accumulate energy as n \times W, implying infinite creation from a finite initial state, which contradicts the law's conservation mandate.^[34]^[26]

Second Law of Thermodynamics

The second law of thermodynamics asserts that the entropy of an isolated system never decreases over time; it either increases or remains constant in reversible processes, expressed mathematically as \Delta S \geq 0.^[35] This principle, also formulated through the Clausius inequality for any cyclic process as \oint (\delta Q / T) \leq 0—where \delta Q is the infinitesimal heat transfer and T is the absolute temperature—and the Kelvin-Planck statement, which declares that no heat engine operating in a cycle can convert all heat from a single reservoir into work without rejecting some heat to a colder sink.^[36] These equivalent statements underscore the inherent irreversibility of natural processes, prohibiting complete efficiency in energy conversion.^[37] The foundations of the second law trace back to Sadi Carnot's 1824 analysis of heat engines, where he introduced the ideal reversible Carnot cycle to determine the maximum possible efficiency of converting heat into work, emphasizing the role of temperature differences between hot and cold reservoirs.^[38] Building on this, Rudolf Clausius formalized the second law in his 1850 paper "On the Motive Power of Heat," articulating that heat cannot spontaneously flow from a colder to a hotter body without external work, and later introducing the concept of entropy in 1865 as a measure of energy unavailable for work, defined as dS = \delta Q_\text{rev} / T for reversible processes.^[39] These developments established entropy as a state function that quantifies the direction of spontaneous change, with its total increase in isolated systems reflecting the law's core tenet.^[40] In the context of perpetual motion machines of the second kind (PMM2), which purportedly extract useful work indefinitely from a single heat reservoir without any waste heat rejection, the second law renders such devices impossible.^[41] A PMM2 would require 100% efficiency in converting thermal energy to work, violating the Kelvin-Planck statement by eliminating the need for a cold sink and decreasing entropy, contrary to \Delta S \geq 0.^[42] Even the ideal Carnot cycle sets the upper efficiency limit at \eta = 1 - (T_c / T_h), where T_h and T_c are the absolute temperatures of the hot and cold reservoirs, respectively, ensuring that \eta < 1 for finite temperature differences and thus mandating some waste heat.^[43] The Clausius inequality provides a direct derivation of this impossibility for cyclic processes. For a reversible cycle, equality holds: \oint (\delta Q / T) = 0, implying no net entropy change. However, for any real, irreversible cycle attempting full heat-to-work conversion, the integral \oint (\delta Q / T) < 0, which would require a corresponding entropy decrease elsewhere to close the cycle, but in an isolated system, this cannot occur without external intervention, confirming the prohibition on PMM2.^[44] This inequality arises from integrating the entropy change over the cycle, where irreversible heat transfers or internal dissipations generate positive entropy production, ensuring the overall \oint (\delta Q / T) \leq 0 and barring reversible full conversion.^[37]

Attempted Techniques

Mechanical Designs

Mechanical designs for perpetual motion machines primarily rely on gravitational forces and mechanical linkages to purportedly generate continuous rotation or motion without external energy input. These approaches typically involve solid components such as wheels, levers, and weights, aiming to exploit imbalances in mass distribution or fluid dynamics within confined structures. Common examples include overbalanced wheels, capillary action devices, and gravitational lever systems, each proposing mechanisms to sustain torque or flow indefinitely.^[45] Overbalanced wheels represent one of the earliest and most persistent mechanical concepts, where weights or fluids are intended to shift toward the descending side of a rotating wheel, creating a perpetual torque imbalance. In the 12th century, Indian mathematician Bhāskara II proposed a design featuring a wheel with eight curved, mercury-filled spokes, theorizing that the liquid would flow to the lower ends during rotation, maintaining an uneven mass distribution to drive continuous motion.^[46] Centuries later, in the early 18th century, German inventor Johann Bessler (also known as Orffyreus) constructed several large wooden wheels equipped with internal weights and pulleys, which reportedly rotated for weeks under sealed conditions, claiming to achieve the same principle through hidden shifting mechanisms that kept more mass farther from the axle on one side.^[47] These designs hinge on the idea that gravitational pull on the offset weights generates net rotational force, with mechanisms like hinged arms or ramps facilitating the shift without apparent energy loss.^[48] Capillary action devices attempt to harness surface tension in liquids to create endless cycles of ascent and descent, often integrated into mechanical siphons or self-filling reservoirs. A notable 17th-century proposal by physicist Robert Boyle involved a flask with a narrow tube rising from a lower bulb to an upper cup, where water would climb via capillary forces—the attraction between the liquid and tube walls—then supposedly overflow and siphon back to refill the bulb indefinitely.^[49] Similar self-filling fountain concepts, such as those using porous wicks or tapered channels, claim that the upward pull of adhesion and cohesion in narrow passages enables perpetual circulation, mimicking a closed-loop pump driven solely by molecular interactions.^[50] Gravitational lever systems extend the overbalanced principle through pivoting arms or articulated linkages, designed to amplify torque via asymmetric weight placement. These often feature a central wheel or frame with extensible arms bearing weights, where stops or hinges allow arms to hang farther outward on the descending side while retracting on the ascending side, purportedly ensuring the center of mass remains offset from the pivot.^[48] Early variants, sometimes called gravity wheels, incorporated ratchets or cams to lock extensions, aiming for sustained rotation as gravity pulls the extended arms downward.^[51] Despite their ingenuity, these mechanical designs invariably fail due to inherent balancing effects that negate any net energy gain. In overbalanced wheels, the torque produced by shifting weights on the descending side is precisely counteracted by the opposing torque on the ascending side, resulting in zero net rotation once the system stabilizes, as the overall center of mass cannot be displaced beyond the axle without external input. Capillary devices reach equilibrium when liquid levels equalize across the tube and reservoir, halting the flow since surface tension cannot overcome the lack of height difference for continuous overflow.^[49] Gravitational levers encounter similar issues, where the energy expended in extending or resetting the arms equals the gravitational work gained, yielding no surplus motion and eventual stoppage from mechanical inefficiencies.^[51]

Fluid and Gas Systems

Fluid and gas systems represent a category of perpetual motion designs that attempt to exploit the dynamic properties of liquids and gases, such as buoyancy forces or pressure gradients, to achieve continuous mechanical output in closed loops. These approaches often involve cycles of rising, falling, expansion, or compression, with proponents claiming self-sustaining operation through natural fluid behaviors like density differences or atmospheric pressure. However, such systems invariably fail due to fundamental physical constraints that prevent net energy gain. A prominent early example is the closed-cycle water screw proposed by English physician Robert Fludd in 1618. This closed-cycle device featured a waterwheel turned by descending water, which powered an Archimedes screw to lift the same water back to the top for repeated flow, ostensibly creating endless motion without external input.^[52] Fludd's design, illustrated in a 1660 wood engraving, was intended to demonstrate perpetual ascent and descent driven solely by gravitational potential energy recycling.^[52] Yet, the mechanism could not sustain operation, as the energy required to elevate the water via the screw precisely matches the potential energy released upon its fall, leaving no surplus for overcoming inefficiencies.^[52] Contemporary buoyancy engines, often termed "floatation motors," build on these ideas with chambers or floats that alternately fill with fluid to sink and empty to rise, purportedly driving a continuous mechanism like a rotating wheel or conveyor belt.^[53] A representative modern patent, the Plankz Buoyancy Engine (US11022091B2, granted 2021), employs multiple floats submerged in a vertical liquid column to harness upward buoyancy forces, moving a belt that could theoretically power external loads.^[53] Proponents argue that the asymmetric motion of rising buoyant elements versus descending weighted ones generates net torque, but in practice, the system reaches a steady state where upward and downward displacements cancel, yielding no overall work output.^[53] Gas expansion devices, such as compressed air loops or so-called "atmospheric engines," seek perpetual motion by cycling gas through expansion to drive pistons or turbines, followed by recompression using ambient pressure. These often feature sealed chambers where high-pressure air expands to perform work, then purportedly refills via atmospheric inflow in a closed loop. Historical variants, like 19th-century proposals for air-powered pumps, claimed endless pressure cycles by leveraging the atmosphere's 101 kPa baseline as a free energy source. However, expansion work is always less than the input needed for recompression, as the process cannot reverse without additional energy, leading to stagnation. Across both fluid and gas systems, sustained motion is precluded by inherent dissipative effects and equilibrium tendencies. Viscosity in liquids and gases generates frictional drag, converting kinetic energy into heat and gradually slowing components until they stop; for instance, in buoyancy engines, fluid resistance opposes chamber motion, accumulating losses over cycles.^[50] Moreover, these setups inevitably attain equilibrium states, such as hydrostatic pressure balance in liquids where density gradients dissipate, or isobaric conditions in gases where pressures homogenize, eliminating the differentials needed for continued flow.^[52] In Fludd's pump, for example, the water column stabilizes at uniform pressure, preventing further net ascent.^[52]

Apparent Perpetual Motion

Low-Friction Devices

Low-friction devices represent attempts to achieve perpetual motion of the third kind, where friction and other dissipative forces are minimized to allow motion to continue indefinitely without external energy input, though such systems inevitably halt due to residual losses governed by the second law of thermodynamics. These devices rely on advanced engineering to reduce mechanical drag, often incorporating vacuum environments, specialized bearings, or quantum phenomena to extend operational times far beyond conventional mechanisms. While they demonstrate impressive longevity, no device achieves true perpetuity, as even minute energy dissipation accumulates over time. Key principles underlying low-friction devices include magnetic levitation via the Meissner effect in superconductors, which expels magnetic fields to enable near-frictionless suspension and rotation. In such systems, a superconductor cooled below its critical temperature levitates above a magnet, eliminating contact friction while flux pinning provides stability; NASA research on hybrid superconductor-magnet bearings highlights their velocity-independent drag torque, suitable for high-speed applications like energy storage. Similarly, superfluids—liquids like helium-4 cooled to near absolute zero—exhibit zero viscosity in their interior, allowing persistent flow without classical friction, though boundary interactions introduce subtle dissipation that prevents indefinite motion. Diamond bearings further exemplify friction reduction, leveraging the material's hardness and low shear strength; experiments with graphene-wrapped nanodiamonds have demonstrated friction coefficients approaching zero in dry conditions, enabling macroscopic sliders to maintain motion with negligible energy loss.^[54] Representative examples include modern flywheels housed in vacuum chambers to eliminate air drag, paired with magnetic or superconducting bearings for minimal mechanical friction. NASA's Glenn Research Center developed a composite flywheel system operating at 20,000–60,000 rpm, achieving 85–90% energy efficiency and projected lifespans of 15–20 years in space applications, where residual losses from eddy currents and material imperfections eventually degrade performance. Replicas of historical overbalanced wheels, such as those inspired by Bhaskara's design, have been tested with low-friction ball bearings to isolate rotational dynamics, showing spin times extended to minutes or hours depending on initial energy input, far longer than standard axle setups but still finite due to axle and fluid drag. Another instance involves jewel bearings in precision timepieces, where synthetic diamond pivots reduce contact friction, allowing some experimental rotors to sustain motion for extended periods under controlled conditions. Performance metrics underscore the asymptotic approach to perpetuity but ultimate failure of these devices. For instance, vacuum-enclosed flywheels with superconducting bearings can store kinetic energy for hours to days before slowing, with energy densities up to 350 Wh/kg in modular units, yet hysteresis and quantum tunneling in superconductors introduce irreversible losses. The energy loss rate in frictional systems, though minuscule—on the order of microwatts in optimized setups—ensure cessation, confirming the physical impossibility of perpetual motion. These losses accumulate over time, leading to eventual stoppage despite advanced designs.

Environmental Energy Harvesters

Environmental energy harvesters are devices that capture ambient energy from sources such as heat, vibrations, or electromagnetic waves, converting it into usable electrical power; these systems are sometimes misconstrued as perpetual motion machines because they operate continuously without apparent refueling, but they rely on finite or replenishable external inputs.^[55] Unlike true perpetual motion, which would violate thermodynamic laws by producing work indefinitely without energy input, harvesters draw from the environment, adhering to the conservation of energy while achieving efficiencies below 100% as dictated by the second law of thermodynamics.^[56] A prominent example is the radioisotope thermoelectric generator (RTG), which uses the heat from radioactive decay of isotopes like plutonium-238 to generate electricity via the Seebeck effect in thermocouples.^[57] RTGs have powered NASA missions such as Voyager and Cassini, providing reliable output for years or decades, but their operation depends on the finite decay of the radioactive fuel, eventually diminishing power as the isotope's half-life (87.7 years for Pu-238) progresses.^[58] Similarly, piezoelectric harvesters convert mechanical vibrations—such as those from machinery, human motion, or environmental sources—into electricity through the piezoelectric effect, where stress on materials like lead zirconate titanate produces voltage.^[59] These devices, often used in wireless sensors, harvest micro-to-milliwatts from ambient oscillations but require ongoing vibrational input and suffer losses from material damping and conversion inefficiencies.^[60] Misconceptions arise in claims of "free energy" devices exploiting zero-point energy or thermal gradients, portrayed as tapping infinite vacuum fluctuations or ambient heat without cost; however, zero-point energy represents the ground-state quantum minimum and cannot be extracted for net work without violating the second law, as it lacks a usable gradient.^[61] Thermal gradient harvesters, like thermoelectric modules, similarly depend on sustained temperature differences from external sources, such as environmental heat flows, and cannot create energy from uniform ambient conditions.^[56] In the 2020s, advancements include ambient radio frequency (RF) energy collectors that scavenge electromagnetic waves from sources like Wi-Fi, cellular signals, or broadcasting, using rectennas to convert RF to DC power for low-energy IoT devices.^[62] These systems yield microwatts to milliwatts in urban environments but are limited by signal density and rectifier efficiency, typically under 50%, and do not generate energy independently.^[63] Betavoltaic batteries, another modern development, employ beta decay from isotopes like nickel-63 or carbon-14 to produce electricity via semiconductor junctions, offering lifespans of decades without recharge; for instance, prototypes announced in 2024-2025 promise 50-year operation for miniature applications like pacemakers.^[64]^[65] Yet, their output wanes with the isotope's half-life (e.g., 100 years for Ni-63), confirming reliance on a depleting nuclear source rather than perpetual generation.^[66] Ultimately, these harvesters clarify the boundary with perpetual motion by incorporating external energy flows, where the second law ensures irreversible losses—such as entropy increase in heat dissipation—prevent closed-loop self-sustenance, with practical efficiencies often below 10-20% for ambient sources.^[55]

Patent Practices

The United States Patent and Trademark Office (USPTO) may require inventors to submit a working model demonstrating operability for patent applications claiming a perpetual motion machine, as provided in MPEP § 608.03, because such devices are deemed inoperative under the laws of thermodynamics and thus lack the required utility under 35 U.S.C. § 101.^[8] This requirement stems from the recognition that perpetual motion claims violate fundamental physical principles, such as conservation of energy, rendering them incredible without empirical proof.^[67] Prior to the late 19th century, numerous patents for purported perpetual motion devices were granted, reflecting less stringent examination standards in the early years of the U.S. patent system.^[68] No such patents have been issued by the USPTO since the establishment of stricter standards, as no working models have satisfied the evidentiary burden.^[8] Internationally, patent offices adopt varying but stringent approaches to perpetual motion claims, often rejecting them outright without necessitating a physical model. The European Patent Office (EPO), for instance, denies patents for perpetual motion machines under Article 52(1) of the European Patent Convention as contrary to the laws of physics; examiners assess this based on the application's technical description alone.^[69] Similar policies prevail in other jurisdictions, such as the United Kingdom Intellectual Property Office and the Canadian Intellectual Property Office, where claims implying perpetual motion are refused for failing to demonstrate credible utility or enablement.^[70] These rejections emphasize conceptual implausibility over prototype testing, streamlining the process while upholding scientific verifiability. Occasional grants of patents resembling perpetual motion devices occur due to ambiguous claim language that avoids explicit over-unity assertions or misclassifies the invention as a novel mechanical arrangement. For example, U.S. Patent 4,151,431, issued in 1979 to Howard R. Johnson for a "permanent magnet motor," was approved because it described magnetic field interactions without directly claiming perpetual operation, though it has been critiqued as conceptually akin to such machines.^[71] Such approvals highlight examiner reliance on the precise wording of claims rather than inferred intent, but they do not endorse energy-producing functionality. Patent offices receive a steady stream of perpetual motion applications—classified under specific subclasses like USPTO's "perpetua mobilia"—with rejection rates exceeding 99%, as evidenced by the absence of grants post-policy and routine dismissals during examination.^[72]

Conspiracy Claims

Conspiracy theories surrounding perpetual motion machines often allege that viable devices have been invented but deliberately suppressed by governments, corporations, and the scientific establishment to protect economic interests in traditional energy sources. Proponents claim that such technologies, which purportedly produce unlimited energy without input, threaten the fossil fuel and nuclear industries, leading to the hiding of patents, harassment of inventors, and even assassinations. These narratives typically portray a coordinated effort by powerful entities to maintain control over global energy markets, with the scientific community accused of enforcing thermodynamic laws as a cover-up to preserve the status quo.^[73]^[74] A prominent example involves Stanley Meyer, who in the 1990s claimed to have developed a "water fuel cell" that split water into hydrogen and oxygen using minimal electricity, enabling a dune buggy to run on water alone in what was presented as a perpetual motion-like system. After demonstrating the device and facing legal challenges, Meyer died suddenly in 1998 from an aneurysm, which conspiracy theorists attribute to poisoning by oil company agents rather than natural causes; this claim persists despite his 1996 conviction for fraud and a court order to repay investors $25,000 for misleading demonstrations. Similarly, Thomas Bearden, a proponent of over-unity electromagnetic generators like the "Motionless Electromagnetic Generator" patented in 2002, asserted that such technologies extract energy from the quantum vacuum but are suppressed by governments and "special interests," linking unrelated events like the Challenger shuttle disaster to secret scalar weapons.^[73]^[74] Other inventors, such as John Searl with his "Searl Effect Generator" involving rotating magnets to allegedly produce anti-gravity and free energy, have fueled suppression narratives by claiming their work was sabotaged through raids, equipment seizures, and disbelief from authorities in the 1960s and beyond. These stories often include accusations that the U.S. Patent Office and agencies like the FBI conceal or classify perpetual motion patents under national security pretexts. Inventors frequently describe encounters where physicists reject their designs without testing, interpreting this as evidence of a broader conspiracy rather than scientific scrutiny based on the laws of thermodynamics. Such claims are commonly cited in fringe literature but lack empirical support, serving instead to explain away failures in replication or commercialization.^[74]^[75]

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Perpetual overbalanced wheel with mercury - Mostre - Museo Galileo
Its movement is based on the displacement of mercury within the hollow spokes supporting the rim. Bhāskara modified the wheel giving the spokes a curved contour ...
[17]
[PDF] perpetual motion machines and - S.R.Sarma
the Indian and Arabic accounts owe their inspiration to China. This paper argues that the idea of perpetual motion is much older in India than.Missing: Greek | Show results with:Greek
[18]
The History of Herodotus - Project Gutenberg
Of gods they reverence the Sun alone, and to him they sacrifice horses: and the rule 223 of the sacrifice is this:—to the swiftest of the gods they assign the ...
[19]
The show that never ends: perpetual motion in the early eighteenth ...
Jan 5, 2009 · A new commercial scheme promising apparently automatic profits, a project for a perpetual motion. Their informants were a young Viennese courtier Joseph ...<|separator|>
[20]
Mechanical overbalanced wheel - Mostre - Museo Galileo
A very rudimentary drawing of a wheel with articulated arms, which can be conceptually traced back to its antecedent in the Arab tradition.
[21]
The Basement Mechanic's Guide to Building Perpetual Motion ...
Leonardo Da Vinci probably built and tested a few overbalanced wheels, but only tersly dismissed them without giving details of how far they fell short, even in ...
[22]
Perpetual motion | Royal Society
Sep 24, 2018 · His perpetual motion machine was created to engage puzzled onlookers with the laws of science – to question what is possible, and what is not.
[23]
[PDF] Perpetual Motion Machines: A Scientific and Theoretical Analysis
Despite the persistent fascination with limitless energy, perpetual motion remains a scientific impossibility. The laws of thermodynamics and the inevitability ...<|control11|><|separator|>
[24]
[PDF] PERPETUAL MOTION - OSF
The 18th-century Industrial Revolution presented practical challenges that led to the development of thermodynamics in the 19th century. Thermodynamics, in ...<|separator|>
[25]
The mechanical career of Councillor Orffyreus, confidence man
Jun 1, 2013 · In the early 18th century, JEE Bessler, known as Orffyreus, constructed several wheels that he claimed could keep turning forever, powered only by gravity.Missing: analyses | Show results with:analyses
[26]
Why Won't They Work? - AMERICAN HERITAGE
An unknown number of perpetual-motion patents (believed to be about ten) were granted and on file in the Patent Office when the building burned in 1836.
[27]
[PDF] History of United States Patents and Present Day Norm of ...
29,149 granted July 17, 1860. The Patent Office has not for many years granted patents on inventions directed to perpetual motion- and where applications are ...
[28]
Perpetual Motion Machines: Working Against Physical Laws
Aug 30, 2016 · Almost as soon as humans created machines, they attempted to make "perpetual motion machines" that work on their own and that work forever.
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https://nerdist.com/article/perpetual-motion-attempt-video-laws-of-thermodynamics/
[30]
In Re Joseph W. Newman, Petitioner, 763 F.2d 407 (Fed. Cir. 1985)
We deny the petition. BACKGROUND. On August 18, 1980, Newman filed an application for patent on an invention which he claims produces more electrical and other ...Missing: battles | Show results with:battles
[31]
Perpetual Motion Isn't Possible, But Inventors Can Create Its Illusion
Jun 1, 2022 · In the video below, science communicator Dianna Cowern, a.k.a. Physics Girl, shares a few of the more common perpetual motion machine designs.
[32]
Why We Don't Discuss Perpetual Motion Machines (PMM)
Jan 30, 2020 · The short answer is that a PMM would violate either conservation of energy, the 2nd law of thermodynamics, or both.
[33]
The Patent Law of Perpetual Motion - IPWatchdog.com
Oct 11, 2011 · The laws of physics and nature tell us that it is impossible for a machine to produce more energy than it consumes, which creates a very real ...
[34]
14.2: The First Law of Thermodynamics - Chemistry LibreTexts
Nov 13, 2022 · In an adiabatic change, q = 0, so the First Law becomes ΔU = 0 + w. Since the temperature of the gas changes with its internal energy, it ...
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https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Thermodynamics/The_Four_Laws_of_Thermodynamics/Second_Law_of_Thermodynamics
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A History of Thermodynamics: The Missing Manual - PMC
As noted by Gibbs, in 1850, Clausius established the first modern form of thermodynamics, followed by Thomson's 1851 rephrasing of what he called the Second Law ...
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None
### Summary of First Law of Thermodynamics: Closed Systems
[38]
6.3 The second law of thermodynamics: Kelvin-Planck and Clausius ...
Clausius statement: it is impossible to construct a device that operates in a cycle and produces no effect other than the transfer of heat from a lower- ...
[39]
June 12, 1824: Sadi Carnot Publishes Treatise on Heat Engines
May 26, 2009 · The so-called Carnot cycle draws energy from temperature differences between a “hot” and “cold” reservoir.
[40]
Rudolf Clausius - Linda Hall Library
Jan 2, 2019 · The Second Law of Thermodynamics was announced in a paper published by Clausius in 1850 in Poggendorf's Annalen der Physik und Chemie; an ...
[41]
Rudolf Julius Emanuel Clausius - ASME
Apr 11, 2012 · One of his tenets was entropy can never decrease in a physical process and can only remain constant in a reversible process.
[42]
12.3 Second Law of Thermodynamics: Entropy - Physics | OpenStax
Mar 26, 2020 · The second law of thermodynamics states that the total entropy of a system either increases or remains constant in any spontaneous process; it ...
[43]
What Is the Real Clausius Statement of the Second Law of ... - NIH
Sep 24, 2019 · ... Clausius Inequality shows the non-conservation of entropy flow in an irreversible cycle. The Clausius Equality/Inequality, ∮ δ Q / T ≤ 0 ...
[44]
The shifting-mass overbalanced wheel - Donald Simanek's Pages
Why it isn't perpetual motion. · More mass is kept continually on one side of the axle, presumably unbalancing the wheel to sustain rotation in one direction.Missing: II | Show results with:II
[45]
6 Perpetual Motion Devices That Didn't Work - How We Get To Next
Feb 10, 2016 · 6 Perpetual Motion Devices That Didn't Work · 1. Bhāskara's wheel (c.1150) · 2. Boyle's flask (c.1660) · 3. The self-filling water mill (c.1480) · 4 ...<|separator|>
[46]
Perpetual Motion | Scientific American
... perpetual motion schemes, namely, on overbalancing one side of a wheel to make it rotate. Stephan's plan (Fig. 14), dating back to 1799, was to have four ...Missing: overbalanced Bhaskara designs scholarly
[47]
Five Perpetual Motion Machines, and Why None of Them Work
Dec 3, 2018 · Sometime in the 17th century, legendary chemist Robert Boyle proposed a self-filling flask, in which liquid is poured into a cup at one end of ...
[48]
Perpetual Motion? - FYFD
In the 17th century, scientist Robert Boyle proposed a perpetual motion machine consisting of a self-filling flask. The concept was that capillary action, ...Missing: siphons historical mechanisms
[49]
Perpetual motion — nonsense for over 100 years | Skulls in the Stars
Mar 10, 2010 · This is a modern version of the “overbalanced wheel”, which was apparently first conceived by Villard de Honnecourt, circa 1230 C.E.; in ...
[50]
Closed-cycle water mill - perpetual motion - Britannica
Law of thermodynamics was the closed-cycle water mill, such as one proposed by the English physician Robert Fludd in 1618.Missing: pump | Show results with:pump
[51]
A New Energy Crisis & Perpetua Mobile | The Engines of Our Ingenuity
A PMM-I violates the First Law of Thermodynamics by continuously producing more energy as useful work than it receives in other forms.
[52]
US11022091B2 - Plankz buoyancy engine - Google Patents
The PLANKZ BUOYANCY ENGINE™ is a machine that captures buoyancy forces on floats submerged in a liquid column, to move a continuous belt. The motion of the ...Missing: modern perpetual
[53]
Thermodynamic limits of energy harvesting from outgoing thermal ...
By the second law, the entropy rejected by the engine to the ambient, S ˙ o u t , must be at least S ˙ i n . To find the upper bound on the extraction of ...
[54]
Debunking The Perpetual Motion Myth: What is zero-point energy?
The concept of zero-point energy, as a phenomena of quantum mechanics, is in fact accepted by physicists and is not considered controversial.
[55]
Cassini's Radioisotope Thermoelectric Generators (RTGs)
Nov 3, 2024 · Radioisotope thermoelectric generators (RTGs) provide electrical power to spacecraft using heat from the natural radioactive decay of plutonium-238.Missing: misconception perpetual<|separator|>
[56]
An Overview of Radioisotope Thermoelectric Generators - Stanford
Mar 15, 2013 · RTGs are devices that convert the waste heat given off by radioactive decay processes into useable electrical energy and are often installed in space-bound ...Missing: misconception perpetual
[57]
A review on vibration-based piezoelectric energy harvesting from ...
Nov 1, 2021 · For PEHs, stress/strain is required by piezoelectric effect to transfer vibrational energy into electric energy. It is thus practical to combine ...
[58]
Piezoelectric Energy Harvesting Solutions: A Review - PMC - NIH
For example, piezoelectric ceramics are used in applications that demand high vibration ... examples of applications for piezoelectric energy harvesting ...
[59]
Why zero-point energy is a scam - Big Think
Nov 15, 2023 · The term “zero-point energy” has at least two meanings, one that is innocuous and one that is a great deal sexier (and scammier).
[60]
RF Energy-Harvesting Techniques: Applications, Recent ... - MDPI
This process involves three fundamental stages: energy capture, conversion, and storage. In the first stage, a receiving antenna captures ambient RF waves from ...Missing: 2020s | Show results with:2020s
[61]
https://bigthink.com/hard-science/zero-point-energy-scam/
[62]
A safe nuclear battery that could last a lifetime
Mar 26, 2025 · Researchers are considering radiocarbon as a source for safe, small and affordable nuclear batteries that could last decades or longer without charging.
[63]
Nuclear Batteries: Energy Storage for Decades - IEEE Spectrum
Aug 25, 2025 · With carbon-14's half-life of 5,700 years, the battery could theoretically last for millennia. The U.K. has an ample supply of the fuel ...
[64]
Nuclear power in your pocket? 50-year battery innovation - CAS.org
Mar 11, 2024 · Betavoltaic batteries use radioactive decay to create electricity, with emitters and absorbers, and have a long lifespan, but low power density.
[65]
Patenting Perpetual Motion - patentology
Apr 3, 2015 · You cannot build a 'perpetual motion machine'. The fundamental principle underlying practical perpetual motion (were it to exist) is the ...
[66]
1. General remarks - European Patent Office
An objection under Art. 57 could be raised only in so far as the claim specifies the invention's intended function or purpose, but if, say, a perpetual motion ...
[67]
Patents for perpetual motion machines - Oxford Academic
The second kind. Perpetual motion machines of the second kind are less ambitious: typically, they are simply intended to run forever, without purporting to ...<|control11|><|separator|>
[68]
US4151431A - Permanent magnet motor - Google Patents
The invention pertains to the field of permanent magnet motor devices solely using the magnetic fields created thereby to product motive power.
[69]
Patenting Your Perpetual Motion Machine
May 9, 2022 · Today I decided to do a search for patents that the USPTO classifies as perpetua mobilia–perpetual motion machines.<|separator|>
[70]
[PDF] PMG Slides - Eric Prebys
Apr 24, 2008 · Introduction and motivation. A brief history of perpetual motion. The science of perpetual motion. Some case studies.
[71]
What Is Free Energy Suppression Conspiracy Theory?
Free energy suppression is the idea that technologically viable, pollution-free, cost-free energy sources exist but are suppressed by powerful organizations.
[72]
The psychology of perpetual motion machine inventors
An inventor declares his faith in an overbalanced wheel machine: I know this principal is sound as there is so much slow & powerful torque latent within the ...