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Bubble

Bubble is a and founded in 2012 by Josh Haas and Emmanuel Straschnov, designed to enable users to build full-stack web and applications through drag-and-drop interfaces, logic, and integrated databases without writing traditional . The platform supports scalable app deployment with features like API integrations, updates, and custom logic construction, allowing non-technical founders and teams to and launch production-ready software rapidly. It gained traction as one of the earliest entrants in the no-code space, powering thousands of applications from startups to tools, and has incorporated AI-assisted to streamline development further. Notable achievements include securing seed of $6 million in 2019 to expand its and attracting high-profile early clients like Dividend Finance by 2014, demonstrating viability for complex financial applications. However, while praised for democratizing software creation, Bubble has drawn scrutiny for performance limitations in ultra-high-scale scenarios and a steep for intricate workflows that mimic coding paradigms, leading some advanced users to hybridize with custom or alternatives.

Physical and Scientific Meanings

Soap Bubbles and Fluid Dynamics

A forms a spherical of air surrounded by a thin typically composed of and , such as , which reduces to enable stable thin-film formation. The film's dual air-liquid interfaces create a differential governed by the , where the excess inside the bubble is ΔP = 4σ/r, with σ denoting and r the ; this arises because the bubble has two surfaces, doubling the contribution compared to a single-interface droplet. Smaller bubbles thus exhibit higher internal , promoting air transfer from smaller to larger bubbles when connected, as observed in experiments with linked bubbles via a . Bubble formation involves inflating a , often via through a or wand, where dictate the transition from a planar to a hemispherical then spherical . At low rates, the deforms gradually without rupture, but increasing velocity thins the until a critical point triggers ; this process is modeled by balancing viscous forces, , and inertial effects in the inflating . Polymers in the can enhance by entangling to form resilient networks, allowing giant bubbles—up to meters in diameter—to persist longer than standard ones. Stability relies on maintaining film thickness against drainage, where gravity drives liquid downward along the film, supplemented by Marangoni flows from surfactant gradients and evaporation at the free surface. Marginal regeneration, the upward rise of thinner film patches, controls thinning rates, with drainage flows quantified in experiments showing maximum initial thicknesses around 4.78 µm reducing via Poiseuille-like flow in the film's Plateau borders. Instability onset occurs when thickness falls below ~10-30 nm, where van der Waals forces dominate, leading to rupture precursors like black films. Bursting initiates with a localized rupture in the thinned film, propagating as the surface retracts at speeds up to 10-20 m/s due to unbalanced , releasing stored and producing audible pops from rapid air displacement. Viscoelastic properties of the solution influence rupture dynamics, with non-Newtonian films blooming outward like flowers before collapsing, as captured in high-speed imaging studies. External perturbations, such as dust particles or mechanical disturbance, lower the energy barrier for rupture, underscoring the metastable nature of bubbles under fluid .

Bubbles in Chemistry and Materials Science

In chemistry, gas bubbles form in liquids through processes such as and growth during chemical reactions, where of dissolved gas leads to . For instance, bubble formation occurs in , producing and oxygen gases at electrodes, or in acid-base reactions like with carbonates, evolving detectable as . The dynamics involve initial gas expansion at a nucleation site, followed by neck formation and detachment, influenced by factors including orifice size, gas flow rate (typically 1-100 mL/min in lab settings), liquid , and , with driving rise velocities up to 0.2-0.5 m/s in . reduce , altering bubble size distribution; for example, decreases average bubble diameter from 5 mm to 2 mm at concentrations above 0.1 wt%. Sonochemistry exploits bubbles generated by (frequencies 20-1000 kHz, intensities >1 W/cm²), where phases create voids that collapse asymmetrically, producing extreme conditions: transient temperatures of 2000-5000 K, pressures of 100-1000 atm, and heating/cooling rates exceeding 10^10 K/s. These hotspots drive formation (e.g., •OH from sonolysis) and enable reactions like oxidation of pollutants or synthesis, with single-bubble yielding lower sonochemical yields (e.g., 10^-12 /J) compared to multibubble regimes due to fewer implosions per unit . Bubble stability depends on dissolved gas content and ; argon-saturated solutions enhance efficiency over air by 2-5 times owing to higher polytropic index. In , bubbles template porous architectures, as in the fabrication of foams where gas evolution (e.g., CO2 from blowing agents in ) creates voids with pore sizes 10-500 μm, controlling mechanical properties like compressive strength (down to 0.1 for open-cell foams). Sacrificial templating uses polymer-stabilized bubbles to yield hierarchical porosity in ceramics or metals post-sintering, achieving surface areas up to 100 m²/g. Conversely, unintended entrapped bubbles in scaffolds (e.g., from defects) impede applications like by blocking cell migration, reducing integration by 30-50% in matrices unless degassed via vacuum (pressures <10 Pa). Cavitation in soft porous media, such as brain tissue mimics, slows bubble collapse dynamics due to matrix deformability, mitigating damage from inertial implosions observed in free liquids.

Mathematical and Physical Properties of Bubbles

A soap bubble forms a thin spherical film of soapy water enclosing air, with the film's stability arising from surface tension at the two air-water interfaces. The excess pressure inside the bubble relative to the outside, known as , is given by \Delta P = \frac{4\sigma}{r}, where \sigma is the surface tension of the liquid (typically 25–30 mN/m for dilute soap solutions) and r is the bubble radius; this arises from the applied to the double interface, doubling the pressure difference compared to a single-interface droplet. Smaller bubbles thus sustain higher internal pressures, explaining their relative stability against diffusion-driven collapse until surfactants maintain film integrity. The equilibrium shape of an isolated soap bubble approximates a sphere due to the isoperimetric problem, which minimizes surface area for a fixed enclosed volume under surface tension forces alone. For bubbles larger than a few centimeters, gravitational effects deform the shape into an oblate spheroid or flattened cap, with the Bond number Bo = \frac{\rho g r^2}{\sigma} (where \rho is liquid density and g gravity) quantifying the ratio of gravitational to surface tension forces; Bo \ll 1 yields near-sphericity, while Bo > 1 introduces significant flattening. results from , with colors depending on film thickness d via constructive at wavelengths \lambda \approx 4nd / m (n , m ), typically varying from 100 nm to microns as occurs. In bubble clusters or foams, surfaces obey Plateau's laws, empirical rules derived from minimal surface geometry: soap films form smooth surfaces meeting in threes along edges at 120° angles, and four edges meet at vertices with at \cos^{-1}(-1/3) \approx 109.47^\circ. These laws, observed by Joseph Plateau in the , were rigorously proven for stable configurations by Jean Taylor in 1976 using , confirming that equilibrium films minimize total surface area subject to volume constraints. The double bubble conjecture, resolved affirmatively in 2002, establishes that the standard double bubble—two spherical caps separated by a flat disk—minimizes surface area for partitioning two equal volumes in \mathbb{R}^3, though unequal volumes introduce hyperbolic curvature in the separating film. Bubble stability against bursting involves drainage, evaporation, and film rupture; the lifetime scales with film thickness and viscosity, often modeled by the capillary number Ca = \frac{\mu U}{\sigma} (μ viscosity, U drainage velocity), where marginal stability occurs near Ca \approx 10^{-3} for puncture-initiated collapse. Upon rupture, the film retracts at speeds governed by Taylor-Culick velocity v = \sqrt{\frac{2\sigma}{\rho h}} (h thickness), generating capillary waves that can eject droplets. These dynamics highlight the interplay of inertia, viscosity, and surface tension in transient behavior.

Economic and Financial Contexts

Definition and Mechanisms of Economic Bubbles

An refers to a self-reinforcing in which asset prices inflate rapidly to levels substantially exceeding their fundamental values, primarily due to speculative buying rather than changes in underlying economic conditions such as , dividends, or cash flows, typically followed by a sharp reversal and contraction. This deviation arises when market participants extrapolate recent price trends into expectations of perpetual gains, leading to increased demand that further detaches prices from intrinsic worth, often measured by metrics like price-to-earnings ratios or Shiller's cyclically adjusted price-to-earnings () ratio, which historically signal overvaluation when exceeding 30-40 for equities. Nobel laureate Robert Shiller describes bubbles as involving an "epidemic" of investor excitement propagated through contagious narratives and media amplification, where social dynamics override rational assessment of risks and returns. Central to bubble formation is the role of credit expansion and leverage, as outlined in Hyman Minsky's financial instability hypothesis, which posits that capitalist economies are inherently prone to cycles of stability breeding instability. During extended prosperity, financing shifts through three stages: hedge financing, where borrowers' cash flows cover both principal and interest; speculative financing, where cash flows suffice only for interest, with principal rolled over via refinancing; and Ponzi financing, where payments depend entirely on rising asset prices or new debt issuance to attract inflows. This progression increases systemic fragility, as euphoria from rising prices encourages excessive risk-taking and debt accumulation, until a trigger—such as interest rate hikes or liquidity withdrawal—exposes inability to service obligations, precipitating deleveraging and collapse. Empirical tests of Minsky's framework, including econometric analyses of credit growth preceding crises, support its predictive power for periods like the 2007-2008 financial crisis, where mortgage-backed securities relied on Ponzi-like structures. Charles Kindleberger's model in Manias, Panics, and Crashes complements this by sequencing bubble dynamics into five phases: displacement by an exogenous shock or (e.g., technological breakthrough or change) that initiates optimistic ; a boom phase with easy and rising prices drawing in leveraged speculators; , marked by widespread participation, margin buying, and prices ignoring fundamentals; profit-taking by savvy insiders who exit amid warnings; and , triggered by revelations of overvaluation, leading to forced sales, , and crash. Behavioral mechanisms, including —where investors mimic peers to avoid missing out—and overextrapolation of trends, amplify these stages, as evidenced by laboratory experiments and historical data showing correlated buying during upswings uncorrelated with fundamentals. While rational expectations models dispute bubbles by attributing price surges to revised forecasts of , persistent empirical divergences (e.g., U.S. prices in the late 1990s exceeding dividend discount models by factors of 2-3) indicate irrational components driven by these interactive processes.

Historical Examples of Economic Bubbles

The , occurring in the from approximately 1634 to 1637, represents one of the earliest documented speculative bubbles. Tulip bulbs, introduced from the and valued for their rarity and variegated patterns caused by a , saw prices escalate dramatically as speculative trading shifted from professional growers to amateur investors through informal contracts known as windhandel. By late 1636, demand surged, with some premium bulbs like the Semper Augustus fetching prices equivalent to a luxury house in ; for instance, a single bulb sold for 5,500 guilders in February 1637, exceeding the annual wage of a skilled craftsman by over tenfold. The bubble burst in February 1637 when buyers withdrew at auctions in , leading to a near-total in prices within weeks, though the recovered without widespread ruin due to the limited scale of participation relative to Dutch wealth. In 1720, two interconnected bubbles gripped : the Mississippi Bubble in and the South Sea Bubble in . The , chartered by Scottish financier John Law in 1717 to exploit trade concessions in , issued shares backed by exaggerated claims of mineral wealth and colonial profits; prices rose from 500 livres in early 1719 to over 10,000 livres by 1720 amid Law's monetary experiments, including the issuance of paper currency through the Banque Royale. The scheme collapsed in September 1720 after overissue of notes and failed specie convertibility, wiping out fortunes and leading to Law's exile, with the French economy contracting sharply before stabilization. Paralleling this, Britain's , granted a monopoly on trade with in 1711, converted national debt into equity; shares climbed from £128 in 1720 to £1,000 by amid insider manipulation and public frenzy, before plummeting 90% by September's end, prompting parliamentary inquiries and the to curb joint-stock speculation. The Railway Mania of the 1840s in involved massive overinvestment in railway infrastructure, fueled by technological enthusiasm and parliamentary acts authorizing lines. From 1844 to 1846, over 8,000 miles of track were proposed, with capital subscriptions exceeding £300 million—equivalent to about 15% of GDP—drawn from middle-class savers via leveraged shares and allotments. Share prices for established lines doubled, while speculative ventures proliferated; actual construction peaked at £44 million in 1847, but by 1849, failures mounted as duplicate routes proved unviable and interest rates rose, leading to bankruptcies, dividend cuts, and a market wipeout that consolidated the network but imposed heavy losses on investors. In the late 1990s, the centered on internet-related stocks listed on the , where valuations detached from fundamentals amid hype over and technology. The index rose from about 1,000 in 1995 to a peak of 5,048.62 on March 10, 2000, driven by low interest rates, influx, and metrics like "eyeballs" over profits; companies like raised hundreds of millions despite minimal revenues. The burst followed in 2000-2002, with the index falling 77% by October 2002, erasing $5 trillion in market value as earnings disappoint and the raised rates, though survivors like adapted. The U.S. of the mid-2000s exemplified asset inflation through lax lending and . Home prices nationwide doubled from to 2006, with subprime mortgages—loans to borrowers with poor —expanding from 8% of originations in 2001 to 20% by 2006, often bundled into mortgage-backed securities rated highly by agencies despite risks. The peak came in 2006, followed by foreclosures surging from 2007 as adjustable-rate resets and falling prices triggered defaults; by 2008, this precipitated a freeze, institutional failures like , and a with $10 trillion in household wealth lost.

Contemporary Economic Bubbles, Including AI Hype (2020s)

The 2020s have seen speculative fervor in technology-driven assets, with the sector emerging as a focal point of debate over potential bubbles. Following the public launch of OpenAI's on November 30, 2022, investor enthusiasm for generative AI propelled valuations in related equities, particularly semiconductors essential for AI training and inference. Corporation, a leading provider of graphics processing units (GPUs) optimized for AI workloads, exemplifies this surge: its expanded from approximately $1.2 trillion at the end of 2023 to $4.53 trillion by October 2025, briefly making it the world's most valuable company. This growth coincided with Nvidia's revenue increasing over 200% year-over-year in fiscal 2024, driven by demand for its and subsequent Blackwell chips, yet its trailing price-to-earnings (P/E) ratio reached 54 by late October 2025, signaling elevated expectations relative to current earnings. Analysts and economists have highlighted characteristics of a bubble in AI investments, including rapid capital inflows exceeding demonstrable near-term returns and hype around unproven applications like (AGI). A Global Research survey of fund managers in October 2025 revealed that 54% believed AI stocks were in a bubble, citing extreme valuations amid slowing adoption rates for enterprise AI tools. economist has argued that AI's productivity effects will likely remain modest—potentially adding only 0.5-1% to U.S. GDP growth over the next decade—due to limitations in current models' capabilities for complex tasks, suggesting overinvestment driven by speculative narratives rather than causal economic transformation. Similarly, Research analysts in October 2025 described the AI market as 17 times larger than the in adjusted terms, with ten AI startups alone gaining nearly $1 trillion in market value over the prior year, fueled by and public market premiums disconnected from profitability. Counterarguments emphasize AI's foundational advancements, positing that current hype reflects genuine infrastructure buildout rather than pure speculation. AI-related capital expenditures by hyperscalers like and exceeded $100 billion annually by mid-2025, underpinning data center expansions and averting deeper economic slowdowns post-2023 inflation peaks, according to economists at . Nobel laureate acknowledged the hype's reality in October 2025 but noted that while AI could yield long-term gains, investors overrelying on exponential scaling without addressing bottlenecks like energy constraints—projected to consume 8-10% of U.S. by 2030—risk disappointment if returns lag. analysis in October 2025 warned that a deceleration in AI spending, which has propped up GDP growth, could amplify recessionary pressures across sectors, given dependencies on tech capex for employment and output. Broader 2020s episodes, such as the 2021 rally and SPAC surge, provide context for recurring patterns of retail-driven speculation amid accommodative , though 's scale— with global investments surpassing $200 billion in 2024—dwarfs prior instances. As of October 2025, no widespread burst has occurred, but warnings persist: contributors and Times opinion pieces liken the dynamics to historical bubbles, where initial innovations yield to corrections when marginal returns diminish. Empirical indicators, including narrowing adoption gaps in surveys (e.g., only 5-10% of firms reporting transformative impacts), underscore risks of a valuation reset if hype outpaces verifiable utility.

Social and Informational Phenomena

Filter Bubbles and Echo Chambers: Evidence and Critiques

The term "," coined by in his 2011 book The Filter Bubble: What the Internet Is Hiding from You, refers to the isolation of users within personalized information environments created by algorithmic recommendations on platforms like search engines and , which prioritize content aligning with past behavior and thereby limit exposure to diverse viewpoints. Echo chambers describe social or online groups where participants predominantly interact with like-minded individuals, reinforcing shared beliefs through selective sharing and avoidance of dissenting information. These phenomena are often invoked to explain rising , with proponents arguing that algorithmic curation exacerbates ideological segregation by design. Empirical studies provide mixed evidence for the prevalence and impact of filter bubbles. A 2022 literature review by the Institute analyzed dozens of peer-reviewed papers and found that while users on platforms like encounter predominantly like-minded content—such as 20-30% of news feeds from ideologically aligned sources—echo chambers affect only a minority of users, typically the most engaged or extreme s, rather than the general population. For instance, a 2023 Nature study of 10.1 million U.S. users during the 2020 election revealed that hard s shared links with co-s over 60% of the time, but average users maintained cross-ideological exposure, with algorithms recommending diverse content in about 25% of cases, suggesting limited bubble formation from curation alone. Some experimental evidence supports causal effects under specific conditions; a 2023 PNAS study exposed participants to simulated filter-bubble feeds for short periods and observed modest increases in agreement with like-minded views ( ~0.1-0.2 standard deviations), though no significant boost in overall . Network analyses of discussions, such as on in 2020-2021, identified clustered echo chambers among subsets of users (e.g., 10-15% forming tight partisan nodes), correlating with heightened affective in those groups. Critiques highlight that filter bubbles and echo chambers are often overstated, with user-driven selective exposure—predating digital platforms—playing a larger role than algorithms. A 2021 critical review argued that Pariser's theory assumes passive user reception, ignoring evidence from pre-internet media studies showing voluntary avoidance of opposing views, as in 1970s surveys where 60% of partisans skipped cross-cutting newspapers; algorithms merely amplify this baseline tendency rather than originate it. Technical and psychological analyses reject strong filter effects, noting that recommendation systems like those on YouTube or Sina Weibo diversify feeds to maximize engagement, with one 2020 modeling study finding bubbles emerge only when content quality costs are low, otherwise leading to broader exposure and reduced polarization. A 2024 empirical test of recommendation algorithms on political news consumption found no causal link to increased polarization, attributing apparent segregation to users' self-selection (e.g., following patterns explaining 70-80% of ideological clustering). Systematic reviews, including a 2025 Springer analysis of over 100 studies, conclude that while echo chambers exist in niche online communities, they are not ubiquitous on social media, affecting less than 20% of users platform-wide, and fail to drive societal polarization beyond offline factors like partisan media consumption. Further scrutiny reveals methodological flaws in supportive claims, such as reliance on simulated environments over real-world data, and potential biases in toward alarmist narratives about tech platforms. For example, early studies often extrapolated from small samples of heavy users, overlooking that 80% of interactions involve neutral or apolitical content. Critiques also note that cross-platform behaviors mitigate bubbles; users frequently encounter opposing views via forwards, , or interpersonal discussions, with surveys indicating only 10-15% report feeling "isolated" online. In sum, while algorithmic can narrow horizons for subsets of users, evidence does not substantiate claims of widespread, causally potent s or chambers as primary drivers of , emphasizing instead human in content selection.

Social Bubbles in Public Health and Isolation (e.g., COVID-19 Protocols)

Social bubbles, also known as or support bubbles, emerged as a non-pharmaceutical during the to mitigate transmission while permitting limited social interaction beyond immediate households. The strategy entails designating small, fixed groups—typically two households—who agree to exclusive close contacts, forgoing interactions with outsiders to contain potential outbreaks within the cluster. This approach, rooted in , aims to reduce the effective reproduction number (R) by clustering contacts, thereby limiting superspreading events compared to random mixing. Originating in modeling exercises early in the , it was promoted as a phased exit from strict lockdowns, with initial proposals in May 2020 emphasizing repeated, low-number contacts over sporadic large gatherings. Implementations varied by jurisdiction. In the , support bubbles were formalized on June 13, 2020, initially permitting single-adult s to link with one other for indoor visits, later expanding to broader bubbles amid rising cases. popularized the "bubble" lexicon in March 2020, applying it to pods and social clusters to sustain low transmission during border closures. and parts of the adopted informal bubbles via advisories, such as guidelines in November 2020 urging compatible s to align on masking, testing, and exposure histories before forming. These protocols often required mutual commitments to testing, symptom monitoring, and avoiding external risks, though enforcement relied on voluntary compliance rather than mandates. Modeling studies indicated theoretical efficacy. A simulation projected that pairing households into exclusive bubbles could avert 42% of fatalities relative to unstructured contact resumption, assuming universal adoption and no cross-bubble leakage, particularly benefiting child-inclusive households by curbing school-related spread. Complementary analyses suggested bubbles, when paired with , substantially lowered overall transmission burdens by prioritizing high-frequency links within clusters. However, these projections hinged on high adherence rates—often unrealistically assumed at 80-100%—and ignored behavioral factors like bubble dissolution upon infection detection, which could amplify risks if undetected cases infiltrated. Real-world empirical data remains sparse, with no large-scale randomized trials isolating bubbles' impact amid interventions like and lockdowns; observational correlations in low-prevalence settings like showed sustained control but attributed success more to borders and tracing than bubbles alone. Critiques highlight practical limitations and . Compliance proved challenging, as evidenced by warnings in September 2020 that even small bubbles harbored risks during community surges, potentially fostering false security and undermining broader distancing. Larger households or isolates without suitable partners faced exclusion, exacerbating inequities, while bubble formation demanded logistical coordination often infeasible for essential workers or multi-generational families. tolls were notable: prolonged bubble confinement correlated with heightened feelings, especially in smaller units, and bio-secure variants in settings (e.g., quarantines) linked to psychological via frustrated needs. Enforcement gaps, akin to struggles with masking, further eroded modeled benefits, with some experts arguing bubbles delayed rather than prevented outbreaks in high-density populations. Overall, while causally plausible for risk containment in theory, bubbles' marginal contributions appear overstated in biased public discourse favoring restrictive measures, lacking robust causal evidence from disentangled field data.

Technology and Computing

Bubble as a No-Code Development Platform

Bubble is a visual, no-code platform designed for building scalable web and mobile applications through drag-and-drop interfaces, declarative workflows, and AI-assisted editing, eliminating the need for traditional coding. It provides full-stack capabilities, including a built-in database for data management at scale, responsive design tools, API integrations, and plugin ecosystem exceeding 8,000 extensions for functionalities like payments via Stripe or mapping with Google Maps. The platform handles hosting, security, and performance optimization natively, targeting non-technical founders, agencies, freelancers, and enterprises seeking rapid prototyping and deployment. Co-founded by technical entrepreneurs Emmanuel Straschnov and Josh Haas, Bubble originated from the recognition that complex programming barriers prevented many from realizing software ideas, prompting the creators to develop tools that would "obsolete their own jobs" by empowering users to build independently. Launched in the early amid the rising no-code movement, it emphasized visual modeling of software logic over imperative code, with a updated in 2024 reaffirming its focus on non-programmer accessibility. By 2021, Bubble had reached one million users, reflecting accelerated adoption during remote work surges and startup booms. Growth metrics underscore its impact: as of 2024, over 5 million builders had constructed 6 million apps across 104 countries, facilitating $850 million in annual app transactions. High-profile adopters include enterprises like , , and L’Oréal, leveraging Bubble for internal tools, MVPs, and products. Recent enhancements incorporate prompting for code generation and app refinement, alongside native and builders, expanding beyond web-only origins. Despite strengths in speed and accessibility, Bubble faces structural limitations inherent to no-code paradigms. Users cannot export underlying to external systems or self-host, enforcing platform dependency and complicating migrations or sales. Scalability challenges emerge for apps with massive traffic or custom needs, as performance relies on Bubble's , prompting some to report bottlenecks in handling. Pricing scales with usage via capacity units, which can become unpredictable for high-volume operations, and customization remains constrained compared to code-based alternatives. These factors contribute to critiques of , though proponents argue the trade-offs enable faster iteration for viable products over bespoke development.

Bubbles in Software and Data Structures

In computer science, bubble sort is a straightforward comparison-based sorting algorithm applied to data structures such as arrays or lists. It operates by iteratively traversing the data structure from the beginning to the end, comparing each pair of adjacent elements and swapping them if they are in the incorrect order relative to the desired sorting criterion, such as ascending or descending numerical value. This process simulates larger elements "bubbling" toward the higher indices (or smaller ones toward lower indices) with each iteration, as the heaviest unsorted element reaches its final position after the first pass, the next heaviest after the second, and so on. The algorithm requires multiple passes until no further swaps are needed, typically implemented with an outer loop controlling the number of passes (n-1 for an array of n elements) and an inner loop shrinking by one each time to exclude the already-sorted suffix. The earliest documented description of bubble sort appeared in a 1956 paper by and Edward Harry Friend titled "Sorting on Electronic Computer Systems," where it was presented as an exchange-based method for on early computers like the 650. Despite its simplicity, which makes it pedagogically useful for illustrating basic algorithmic concepts like iteration and conditional swapping, bubble sort exhibits quadratic in both average and worst cases—O(n²)—due to the nested loops, rendering it inefficient for large datasets compared to algorithms like or mergesort. is O(1), as it sorts in-place without requiring additional storage proportional to input size. Optimizations, such as early termination when a pass yields no swaps or tracking the last swapped index to shorten subsequent passes, can reduce practical runtime but do not alter the asymptotic bounds. Beyond sorting, the term "bubble" appears in software event handling, particularly in object-oriented and DOM-based systems. Event bubbling describes the default propagation mechanism where an event dispatched on a target element (e.g., a button click) first triggers handlers on that element, then ascends through its parent hierarchy in the document or component tree until reaching the root or a capturing handler intervenes. Introduced in early web standards like the DOM Level 2 Events specification (2000), this phase follows the capturing phase and enables event delegation, where a single handler on a container processes events from dynamic children efficiently, reducing memory overhead in applications like user interfaces. Programmers can control bubbling using methods like stopPropagation() in JavaScript to prevent ascent, which is crucial for avoiding unintended handler cascades in complex nested structures. This concept extends to frameworks like React or GUI libraries, where it supports modular event management without direct child attachments.

Sports and Competition

Bubble Formats in Tournaments and Leagues

Bubble formats in sports tournaments and leagues refer to isolated, bio-secure environments implemented primarily during the to enable competition while minimizing virus transmission through centralized venues, mandatory quarantines, frequent testing, and restricted access. These setups confined players, staff, and officials to designated "bubbles" with hotels, training facilities, and arenas, prohibiting external travel or visitors to create a controlled . The approach prioritized health protocols over traditional fan attendance and road games, allowing leagues to resume suspended seasons without widespread outbreaks. The (NBA) pioneered a prominent bubble for the 2019-20 season resumption, hosting 22 teams at the ESPN Wide World of Sports Complex within Walt Disney World Resort in , from July 2020 to October 2020. Exhibition scrimmages ran from to 28, followed by seeding games from July 30 to August 14 to determine playoff positioning, a play-in tournament on August 15-16 for the final seeds, and playoffs starting August 17, culminating in the ' championship win over the on October 11. The NBA reported zero cases among players and essential personnel within the bubble, attributing success to rigorous protocols including daily testing, symptom monitoring, and phased entry. Approximately 1,500 individuals operated under these rules, with games played behind closed doors across three arenas: HP Field House, Visa BlackBox Theater, and The Arena at ESPN Wide World of Sports. The National Hockey League (NHL) adopted a dual-bubble system for its , dividing 24 teams between , (Western Conference), and , (Eastern Conference), from August 1 to 2020, spanning 65 days. hosted the Western Conference finals and the Final, where the defeated the on September 28, while managed Eastern operations; both host cities' teams failed to advance to , avoiding local distractions. The NHL documented minimal infections, with protocols mirroring the NBA's emphasis on in two hotels per site, regular testing for over 1,400 participants, and limited interactions, fostering a expanded to include play-in rounds for broader qualification. Players noted psychological strains from confinement, with some anonymously describing the experience as dehumanizing, yet the format enabled completion without derailing the postseason. Other leagues, including (MLS) and the (WNBA), implemented similar bubbles in Orlando and , respectively, during mid-2020, achieving low transmission rates through comparable isolation strategies. These models influenced global adaptations, such as cricket's shifting to the in a bubble, but North American professional leagues' executions stood out for scale and zero-player-outbreak outcomes in key cases. Post-bubble analyses highlighted logistical lessons, like phased family reunions in the NBA after , for future crisis planning, though sustained viability beyond pandemics remained limited due to costs and isolation effects.

Cultural and Everyday Uses

Bubble in Consumer Products and Food

, a ubiquitous consumer packaging material composed of air-filled spherical cushions formed between two layers of , was invented in 1957 by engineers Alfred Fielding and Marc Chavannes during an experiment to create textured . Repurposed after initial failures in that market, it served as insulation before finding its primary use in protective shipping, notably for computers starting in 1960, which helped establish Corporation as a major producer. Its popularity stems from the cushioning effect of the bubbles, which absorb shocks during transit, reducing damage to fragile goods in and . In , bubble gum represents a specialized variant engineered for elasticity to form large, inflatable bubbles when chewed, first commercially viable in through the work of Walter Diemer at the Fleer Chewing Gum Company. Diemer's formula, derived from tweaking existing recipes with less coloring and a unique , yielded , which sold over 1 billion pieces in its debut year amid the . Prior efforts, such as Frank Fleer's 1906 "Blibber-Blubber," failed due to sticky residues that burst prematurely, highlighting the chemical precision required for stable bubble formation via balanced polymers and plasticizers. Bubble tea, a beverage originating in in the early 1980s, combines —typically black or green—with milk, sweeteners, and chewy starch pearls (known as boba), whose -derived bubbles contribute to its textured and . Innovations at tea stands in , such as adding pearls to shaken for visual foam-like "bubbles," propelled its rise, with export to via Taiwanese diaspora in the 1990s fueling a market now exceeding $2 billion annually in the U.S. alone by 2023. Bubble bath formulations, personal care products that generate stable foam layers upon dilution in water via surfactants like sodium lauryl sulfate, trace to early 20th-century soap flake experiments but achieved mass appeal with powdered versions in the 1950s and liquid concentrates by the 1960s. The iconic brand, launched in 1961 by Harold Schafer's Gold Seal Company, targeted children with its mild, non-irritating recipe sold initially at 59 cents per bottle, capitalizing on hygiene trends and evolving into a staple for sensory bathing experiences.

Bubble in Language and Idioms

The word "bubble" features in various English idioms, typically metaphorizing the , fragility, or properties of bubbles or liquids to describe human experiences of , , or emotional excess. These expressions emerged in modern usage, often in the , reflecting everyday observations of physical bubbles rather than ancient linguistic roots. "To burst someone's bubble" denotes the act of disappointing a person by puncturing their unfounded or delusions, akin to popping a fragile that shatters instantly. The phrase conveys a sudden with , as in "I hate to burst your bubble, but the deadline has been moved up." Its origin likely stems from the tactile of deflating a child's gum or , a common childhood experience symbolizing lost innocence or false security, though no precise first attestation exists before mid-20th-century colloquial speech. "Living in a bubble" describes a state of self-isolation from external realities, where individuals or groups remain insulated from dissenting views, hardships, or broader societal dynamics, much like being enclosed in an impermeable . This critiques , often applied to elites or ideologues who avoid uncomfortable facts, for example: "Critics argued the advisors were living in a bubble, ignoring rural ." It gained traction in discussions of social disconnection, with documented usage in English by the early to highlight echo-like environments. "To bubble over" signifies an uncontrollable of emotion, such as , , or , paralleling a pot of simmering liquid spilling beyond its rim. Usage includes "She bubbled over with excitement upon hearing the news," emphasizing uncontainable vitality. The expression draws directly from observable or effervescent processes, with roots in descriptive predating formalized idioms but commonly attested in dictionaries since the late . Less common variants include "," referring to ideas or feelings emerging gradually like gas in , and "on the bubble," indicating precarious status or , though the latter overlaps with competitive contexts. These idioms underscore bubbles' dual of and , influencing literary and conversational English without altering core meanings across dialects.

Arts, Entertainment, and Media

Fictional Characters and Narratives

In the Absolutely Fabulous (1992–2012), Bubble is the recurring character serving as personal assistant to , portrayed by as a dim-witted, fashion-obsessed figure prone to malapropisms and incompetence. Her role evolves from secretary to maid and back, highlighting themes of class and dysfunction in 1990s . In the indie animated series (2023–present), Bubble appears as a sentient, soap bubble-like entity and secondary antagonist, functioning as the eager sidekick to the AI ringmaster Caine. Voiced by creator Gooseworx, Bubble exhibits childlike enthusiasm and surreal behaviors, such as floating erratically and mimicking emotions, within the show's digital horror-comedy framework exploring and . Johnny Bubble serves as the protagonist in the 2016 animated short film of the same name, directed by for , where the character—a humanoid creature with a bubble head—leads an idyllic suburban life that unravels into through escalating, unexplained events like community disruptions and personal losses. The narrative employs Resnick's signature style of mundane , emphasizing and the fragility of normalcy. In the 2017 science fiction film Valerian and the City of a Thousand Planets, directed by , Bubble is a shape-shifting alien entertainer played by , capable of mimicking objects and forms to perform seductive dances and assist the human agents Laureline and in evading capture. Her brief arc underscores exploitation in interstellar society, as she reveals a history of enslavement from age four before sacrificing herself to enable the heroes' escape. Bubbles as motifs in fiction often symbolize transience and illusion, as in 19th-century such as Barry's Soap Bubble Stories (1892), a collection of tales where enchanted bubbles transport characters to whimsical realms, reflecting Victorian-era fascination with ephemerality and wonder. Similarly, Julia Verlanger's "The Bubbles" (under Eliane Grimaître) depicts predatory, sentient bubbles that detect and engulf humans, serving as a sci-fi for inescapable environmental threats.

Film, Television, and Literature

"Bubble" (2005) is an American drama written and directed by , set in a economically declining small town in and starring mostly non-professional actors from the local area. The film explores interpersonal relationships amid economic hardship, with a plot involving a and ; it premiered simultaneously in theaters, on high-definition television, and on DVD on , 2006, marking an early experiment in alternative distribution models. "Bubble" (2022) is a animated directed by and produced by , based on a story by Kazuki Yoshikawa. Set in a post-apocalyptic altered by anomalous gravity that causes water bubbles to form in the atmosphere, the narrative follows a teenage athlete named who encounters a girl named as they navigate abandoned and competitive events. The film, which features original character designs by and music by , was released on on April 29, 2022. "The Bubble" (2022) is an American directed by , starring , , and , and depicting a group of actors attempting to film a to a fictional while confined to a strict bubble at a luxury hotel. Released on on April 22, 2022, the satirizes pandemic-era production challenges, interpersonal drama among the cast, and restrictions like mask mandates and protocols. In television, "The Bubble" (2010) is a satirical hosted by , produced by for , where celebrity contestants are isolated in a soundproof booth for several days without access to news or current events before answering questions on recent happenings. The single six-episode series aired from November 16 to December 21, 2010, emphasizing the contestants' detachment to highlight habits. "" is a long-running Philippine and variety show on , featuring parodies, impersonations, and musical numbers, which premiered on November 24, 1995, and has aired over 1,500 episodes as of 2023, becoming one of the country's most popular television programs. "Bubble's Hotel" (2023) is an animated children's series for preschool audiences, centered on Bubble, a magical who uses a bubble wand to facilitate adventurous outings for guests at her resort, with themes of and problem-solving; the first season, comprising 52 episodes, became available on Peacock on October 6, 2023. In literature, "Bubble" (2016) is a novel by author Stewart Foster, narrating the experiences of 11-year-old , who lives in a sterile bubble due to (SCID), detailing his daily routines, emotional struggles, and interactions limited to medical staff and family until an unexpected visitor prompts change. Originally published in the UK in 2015 by , the US edition followed in 2016 and received commendations including the Sainsbury's Children's Book Award for its empathetic portrayal of chronic illness. "Bubble" (2021) is a written by and illustrated by , adapting an audio fiction serial and depicting a dystopian where underpaid workers in a domed corporate habitat called the Bubble hunt invasive monsters using app-based assignments, critiquing precarious labor and urban isolation. Published by on July 13, 2021, the story follows protagonist and her friends navigating dangerous jobs amid a surveillance-heavy environment.

Music and Gaming References

In music, "bubble" most prominently refers to bubblegum pop, a subgenre of pop and that originated in the United States in the late and peaked in popularity during the early 1970s. This style featured simple, repetitive hooks, upbeat tempos, and contrived lyrics often marketed toward preteens and adolescents, with production emphasizing synthesized sounds and commercial appeal over artistic depth. Key architects included producers Jerry Kasenetz and Jeffry Katz of Super K Productions, who crafted hits for manufactured groups like ("," released October 1968, which reached No. 4 on the ) and ("," September 1969, topping the chart for four weeks). The genre's name derived from its perceived disposability, akin to —sweet but short-lived—and it sold millions while drawing criticism for lacking substance, though it laid groundwork for later and acts by prioritizing accessibility. Specific songs titled or centered on "bubble" include Imagine Dragons' "Bubble" from their 2022 reissue of Night Visions, a track with electronic elements evoking isolation and fragility, released September 8, 2022. Alec Benjamin's "Boy in the Bubble" (2018), from his mixtape Narrated for You, uses the bubble metaphor for emotional detachment, peaking at No. 62 on the Billboard Hot 100 after viral TikTok traction. More recent examples encompass Valeria's "Bubblegum" (November 2024), which employs bubble imagery for explosive relationships in a hyper-pop style. These tracks illustrate "bubble" as a recurring motif for transience or protection in contemporary pop, distinct from the genre's historical bubblegum roots. In gaming, "bubble" prominently features in the series, a platform-action franchise launched by in as an arcade title. Players control twin characters, Bub and Bob (Bubblun and Bobblun in ), who inflate bubbles to trap and pop enemies across 100 levels in the original game, emphasizing co-operative play and power-ups like lightning bubbles. The series expanded with sequels such as Bubble Bobble II (1993 for ) and Bubble Bobble 4 Friends: The Baron’s Workshop (2020 for , featuring four playable characters and local multiplayer for up to four players). Mechanically, bubbles serve as both offensive tools and environmental hazards, with the 1986 original selling over 1 million arcade cabinets worldwide by the early and influencing puzzle genres. Related titles like (1994, known as Bust-a-Move in the West) integrate bubble-matching mechanics into a competitive format, spawning over 20 entries and mobile adaptations by 2025. These games highlight "bubble" as a core element symbolizing capture and burst dynamics, enduring through ports to modern platforms like and mobile app stores.

Notable People and Entities

Individuals Known as Bubble

David Phillip Vetter (September 21, 1971 – February 8, 1984), known as the "Bubble Boy," was born with severe combined immunodeficiency (SCID), a genetic disorder rendering him without a functioning immune system, necessitating his isolation in a sterile plastic bubble from birth until age 12. Vetter's case, managed at Texas Children's Hospital under Dr. Mary Ellen Koneman and Dr. Raphael Wilson, drew global medical and media attention as researchers tested isolation protocols and bone marrow transplant feasibility; he received a transplant from his untreated sister on October 21, 1983, but succumbed to complications from an undiagnosed Epstein-Barr virus infection shortly after. His story highlighted ethical debates on experimental treatments for rare diseases, influencing subsequent SCID research and gene therapy advancements. John William Sublett (February 19, 1902 – May 18, 1986), professionally known as , was an African American dancer, singer, and vaudevillian born in . Bubbles pioneered by integrating syncopated rhythms into , partnering with Ford Lee "Buck" Washington as the duo Buck and Bubbles from 1914 onward, performing on stages including the and in films like Cabin in the Sky (1943). Credited with influencing modern artists such as , who studied under him, Bubbles performed into the 1970s despite a 1957 stroke, receiving recognition from the National Tap Dance Hall of Fame posthumously. Eugene "Bubbles" Hargrave (1910–1992) was a Major League Baseball who played for the from 1926 to 1930, earning his nickname for his effervescent demeanor during a career marked by defensive prowess, including leading catchers in fielding percentage in 1928 (.988). Hargrave debuted at age 16 on September 13, 1926, hitting .333 in 22 games that season, though injuries limited his longevity; he later managed in minors and scouted talent.

Organizations and Brands Named Bubble

Bubble, the visual development platform developed by Bubble Group, enables users to create full-stack and applications without writing , using a drag-and-drop combined with AI-assisted features launched in 2025. Founded in 2012 by Josh Haas and Emmanuel Straschnov, the company has facilitated the building of thousands of applications, including startups like Dividend Finance, and was ranked among Fast Company's Most Innovative Companies in 2021 for democratizing . As of 2025, Bubble supports scalable deployments for , with pricing tiers starting from free for prototyping to enterprise plans exceeding $500 monthly, emphasizing its role in reducing for non-technical founders. Bubble Skincare is a beauty brand specializing in dermatologist-tested, fragrance-free products formulated for sensitive skin, particularly targeting Gen Z consumers with concerns like and oiliness. Launched in 2016, the brand expanded retail distribution to 3,900 locations in June 2022, offering items such as cleansers and moisturizers that are vegan, , and backed by clinical testing for efficacy without irritation. Its product lineup, including the Poreular Clarifying Serum with 2% , has garnered over 17,000 customer reviews averaging 4.8 stars, reflecting strong market reception driven by eye-catching packaging and affordable pricing under $20 per item. Mr. Bubble is a longstanding brand produced by The Village Company, known for its child-friendly, low-sudsing formulas that produce fluffy lather without harsh chemicals. Introduced in the , the brand's Original scent mimics and remains a staple in family households, with variants like Extra Gentle offering dye- and fragrance-free options for infants; it emphasizes certifications such as tear-free verified by pediatric guidelines. Annual sales data is not publicly detailed, but its enduring presence in mass retailers underscores its cultural familiarity as an accessible bath product, with twin packs retailing around $5-7. Other smaller entities include , a U.S.-based of handmade, natural cold-process soap bars using simple ingredients like and essential oils, focused on eco-conscious daily cleansing without synthetic additives. Similarly, Bubble Soap Co. offers zero-waste bath products such as all-in-one bars that replace multiple plastic-packaged items, handmade with plant-based oils to minimize environmental impact. These niche brands prioritize but operate on a smaller scale compared to the aforementioned leaders.

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