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A team of researchers from Princeton and Oxford has uncovered a decades‑old handwritten note by Richard Feynman that formulates a mathematical solution to the classic “restaurant‑stopping” problem faced by travelers.Decoding Feynman's Hidden Stopping ProblemThe study, published in the Proceedings of the National Academy of Sciences, reconstructs Feynman's original equation, which advises diners to keep trying new venues until a quality threshold is met. That threshold is not static; it declines more rapidly as the remaining nights in a city decrease, reflecting the diminishing value of future visits to a discovered gem.Feynman's notes were handwritten in the 1970s after a lunch with friend Ralph Leighton.The model assumes a fixed range of restaurant quality and equal probability of encountering any quality level.When the distribution of restaurant quality is uneven, the optimal threshold shifts—higher when few gems exist, lower when most venues are above average.Experimental Findings from 2,520 ParticipantsTo test human behaviour, the authors recruited 2,520 volunteers for an online simulation where participants imagined staying in a city for varying lengths of time and chose restaurants from a grid.Participants’ thresholds fell linearly with the proportion of nights remaining, rather than the rapid decline predicted by Feynman's formula.Despite its simplicity, the linear rule performed comparably to the original solution in the simulated environment.Implications for Decision‑Making and Tourism BehaviourThe findings bridge theoretical optimal‑stopping theory with everyday intuition, suggesting that people naturally adopt a decreasing‑threshold strategy when faced with limited opportunities. This insight could inform:Tourism recommendation engines that adapt suggestions as a trip progresses.Behavioral economics models of consumer search in other domains (e.g., housing, job hunting).Design of AI assistants that balance exploration and exploitation in real‑time.Future Directions for Adaptive Choice ModelsThe authors propose extending the model to dynamic environments where restaurant quality distributions change over time, and to incorporate personal preference heterogeneity. Real‑world field trials in travel apps could validate whether a linear decreasing threshold improves user satisfaction and discovery rates.

The Energetic Cost of Pollen Collection Bees use as much energy collecting pollen through “floral buzzing” as they do taking off in flight, a study shows. Scientists have found the vibrations bumblebees use to shake pollen loose from flowers are among the most exhausting behaviours they perform, forcing bees to “carefully choose” which flowers are worth visiting. The Study's Findings The study, released by the Royal Society, is the first to directly measure the energy cost of floral sonication, or “buzz pollination” – where bees vibrate flowers to extract pollen. Natacha Rossi, a University of Sussex research fellow who led the study, said: “As nectar availability shifts due to climate change or habitat loss, the energetic demands of pollination could influence bee behaviour and, ultimately, where bees forage and which plants they pollinate. The Data Analysis Using lasers and respirometry equipment to monitor three colonies of buff-tailed bumblebees, researchers discovered that a single “buzzing event” required about the same amount of energy as a flight take-off. Because buzzing can last longer, the total drain on energy can be even greater. The metabolic rate of a floral buzzing bee is more than 30 times higher than its resting metabolism, according to the study, making the process among its most energetically demanding behaviours. The Impact Analysis The researchers warned that declining nectar supplies caused by climate crisis and habitat destruction could intensify the strain on pollinators. Prof Mario Vallejo-Marin, at Uppsala University, said: “We long suspected that buzz pollination was an energetically expensive affair. We can now put a number to it and begin making quantitative predictions of how it could affect the ecology and evolution of bees and buzzpollinated flowers.” The Prediction The study points out that the energetic drain on the bee does not stop when the pollination stops. According to the paper, after the bee vibrates the pollen loose, it must engage in a “grooming and pollen-packing phase”. This grooming takes even more energy. The bee then has to force a high-power take-off to carry its new, heavier load away, making the whole process a demanding two-phase sequence.

Breakthrough Cancer Drug Reveals Hidden TumorsA smart drug that stops cancer cells "hiding" from treatment can shrink tumours by at least 30% in six of the world's most common forms of the disease, according to early trial results. While immunotherapy treatments have improved survival rates for many patients, their effectiveness can stall or fail when tumour cells hide and then spread.How the Smart Drug WorksResearchers in Oxford have developed a drug designed to stop cancer cells concealing themselves from the immune system, allowing immunotherapy treatments to identify and destroy them. In a trial spanning the UK, France, Spain and Australia, 83 patients with cervical, bladder, liver, bowel, lung or head and neck cancers were given the experimental drug, GRWD5769, alongside the immunotherapy treatment cemiplimab.The smart drug was able to remove "invisibility cloaks" from tumour cells, exposing them to the parts of the immune system that attack infections and diseases. This allowed the cemiplimab immunotherapy to pinpoint and destroy the cancer.Trial Results Across Cancer TypesResearchers, led by the Christie NHS foundation trust in Manchester, England, found that tumours shrank in 26 patients. Of those, 15 experienced tumour reductions of at least 30%. All participants had previously failed to respond to treatment, and most had no options left when they joined the study.GRWD5769 was shown to shrink tumours in all six cancer types included in the trial. The drug halted progression of the disease for at least six months in 18% of cervical cancer patients, 32% of liver cancer patients, 36% of bladder cancer patients, 38% of those with neck and head cancer, and more than half of bowel (51%) and lung (55%) cancer patients.Significance for Cancer TreatmentImmunotherapy enlists T-cells – immune system cells that attack infections and diseases – to hunt and destroy cancer. Although it has revolutionised cancer care, it fails in about two-thirds of patients. This is because immunotherapy struggles when tumours hide from the immune system.Tumours can evade the immune system by manipulating an enzyme called ERAP1 (endoplasmic reticulum aminopeptidase 1). By altering this enzyme, cancer cells can hide from a patient's T-cells. GRWD5769 solves this problem by inhibiting ERAP1, which removes cancer's invisibility cloak and makes tumour cells visible to T-cells that could not previously find them.Future Outlook for Cancer TreatmentThe findings were presented at the American Society of Clinical Oncology's annual meeting in Chicago, the world's largest cancer conference. Prof Fiona Thistlethwaite, the principal investigator, noted: "For a drug that is given as a tablet, this is very impressive. It's early days, and we need further studies, but this is a new drug with a new mechanism that clearly helps immunotherapy perform more effectively."The tablets, which were developed by Oxford-based Greywolf Therapeutics and were tolerated well by patients. The trial remains ongoing, with a larger study planned. Cancer Research UK's research information lead, Dr Samuel Godfrey, noted: "Immunotherapy has transformed treatment for some cancers but it doesn't yet work for everyone. This trial seems to show how this new drug could make immunotherapy more effective, including in some cases where immunotherapy had previously failed."

The Lead: England's Test Redemption at Lord's Lord's hosts its 150th Test match this week as England seeks redemption following a disappointing Ashes winter. The match against New Zealand presents both familiar challenges and intriguing storylines, with new faces in the England lineup and the ongoing tension between franchise cricket and international commitments. The Event Details: Franchise Cricket's Growing Influence The International Cricket Council has expressed concern about the growing expanse of franchise cricket and resolved to form a committee to assess harmonization of franchise cricket with the international calendar. This comes as England prepares for their Test match with several players unavailable due to IPL commitments. The Data Analysis: Player Availability and Team Selection England's squad for the Test against New Zealand includes debutant Emilio Gay at opener and the return of Ollie Robinson. However, key players like Jofra Archer and Jacob Bethell are unavailable due to their IPL commitments with Rajasthan Royals and Royal Challengers Bangalore respectively. In contrast, New Zealand's Rachin Ravindra secured an early release from his franchise to focus on Test cricket. The Impact Analysis: The Franchise vs. Test Cricket Dilemma England's cricket system appears increasingly influenced by franchise cricket, with the ECB unable to withdraw players from The Hundred for reasons other than injury. This creates a situation where central contracts are effectively valid for only nine months a year, with rest periods needing to be scheduled around franchise commitments. The appointment of Andrew Flintoff as head coach of Sydney Thunder further highlights the blurring lines between international and franchise cricket. The Prediction: Navigating Cricket's Evolving Landscape As Ben Stokes acknowledges, the current cricket landscape forces teams and individuals into uneasy compromises. While the ICC committee may eventually propose solutions, the fundamental tension between lucrative franchise leagues and traditional Test cricket is likely to persist. England's ability to balance these competing priorities will be crucial to their success in both formats moving forward.

Nissan announced a non‑binding agreement to explore contract manufacturing for Chery International UK at its Sunderland plant, a step that could secure employment at the country’s largest car factory.Nissan Signs Non‑Binding Agreement to Build Chery VehiclesThe Japanese automaker confirmed that discussions are ongoing to produce Chery‑branded models on production line 1 in Sunderland. The agreement is non‑binding, with final terms to be negotiated in the coming months.Projected Timeline and Production CapacityTarget start: 2027 financial year.Location: Sunderland plant, line 1.Workforce: Approximately 6,000 employees at the site.Current output: Qashqai, Juke, and Leaf models.The plant recently consolidated to a single line, freeing capacity for a new Chinese entrant without cutting jobs.Strategic Implications for the UK Automotive SectorPartnering with Chery, which has quickly risen in the UK market with models like the Jaecoo 7 PHEV, could bolster Sunderland’s utilisation rates and offset the broader decline in European car sales. The deal also aligns with Chery’s ambition to become a top‑three manufacturer in Britain and its recent investment in a UK R&D; hub in Liverpool.Future Outlook: Potential Shifts in UK Car ManufacturingIf the partnership proceeds, Nissan may expand its hybrid or electric portfolio at Sunderland, though details remain undisclosed. The arrangement could set a precedent for further Chinese‑European collaborations, while the British government continues to explore similar partnerships, such as the speculative involvement of Jaguar Land Rover.

The Lead: Stokes' Defense of Archer's IPL Commitment Ben Stokes has defended England's decision to excuse Jofra Archer from the start of the Test summer so he could compete in the Indian Premier League, saying a more militant approach risks a situation where "players like him might not play for England again." While Stokes admitted he "totally understands people's frustrations around the situation," particularly given that Archer is tied to an ECB central contract which runs until 2027, he suggested its most high-profile critics were stuck in the past. The Modern Cricket Landscape: Player Opportunities and Expectations "There's another side to it, and a lot of it's got to do with the landscape of cricket and where it is at the moment," England's Test captain said. "I think a lot of the points that people have been making around Jof and that situation are to do with the landscape when they were playing. But it's completely different now. There's opportunities for cricketers now that there wasn't 10, 15, 20 years ago. "Yes, in an ideal situation it would be unbelievably great to have everyone you want available at every single opportunity. That is not the way of cricket at the moment. There is so much more out there for players. There are other opportunities and you want players to be able to do them, and also to play for England. The Archer Situation: IPL Success and Test Uncertainty Archer has just completed his most successful IPL season, taking 25 wickets for Rajasthan Royals as they reached the playoffs, putting him third in this year's bowling rankings. He played his last game on Friday, before flying to Barbados for what Brendon McCullum, the England coach, described as "a little bit of a break". He is expected to play some part in the Test series against New Zealand but will not be at Lord's when the first Test starts on Thursday, and it is not yet known whether he will be available for the second game, which begins at the Oval on 17 June. Criticism and Counterarguments: Former Players vs. Current Leadership "It's ludicrous, absolutely ludicrous," Doull told Sky. "How are you paying this guy up to £1m a year and he's not available for your first Test match? There's no reason that Jofra Archer couldn't have been bowling six or seven overs [with the red ball] in between [games]. The fact that he is not doing that tells me he has no interest in playing Test cricket. And why are the ECB not then having discussions with the [Royals] team, saying: 'We need him to be ready for Test match cricket'? I think it's completely wrong." But while Stokes acknowledged the criticism, he maintained his position: "There is a situation where it could get messy, and players like Jofra might not play for England again if you handle it in a different way, and that is not good for anyone. Jofra has shown that he's committed and loves playing for England. Just because he's not available for this first Test match does not change that." England's Performance Issues: Need for a Smarter Approach Stokes admitted that his team had developed a habit of "consistently letting ourselves down" at crunch moments in Test matches, a trend which their much-trailed reset is intended to address. "It's not a massive change, to be honest," he said. "As much as people want to hear us say that, it's not. It's being a lot smarter in those big moments in games, because I will admit that consistently when [they] were in the balance, when it was neither one way nor the other, we let ourselves down. The decisions we thought were the right ones to make let the opposition get ahead of us. Especially over the past 18 months, we've contributed towards losing games of cricket on too much of a consistent basis."

The Director's Digital PivotMartin Scorsese's announcement that he has invested in an AI company and uses the technology to create storyboards has triggered a backlash from fellow members of the film industry.The New York Times reported that Scorsese had been appointed in 2025 as a partner and adviser to Black Forest Labs, a German-based venture that specialises in text-to-image generative AI.Scorsese said in a statement to the New York Times: "I'm interested in the intersection of technology and storytelling, and seeing how that can push the bounds of creativity to create deeper and richer experiences for audiences. Remember, cinema is a young medium, only around 125 years old, so we have to be open to how it can evolve."He added: "For 70 years, I've been creating my own storyboards. There's always been this problem of how do you communicate what you see in your head to your cast and crew. There are some things you have to see and feel. Now with this tool, I can share what I'm visualising more clearly and efficiently to my creative team."The Artist's RebellionStoryboard and concept artists responded angrily, with Karla Ortiz, a concept artist on a string of Marvel films including Black Panther, Avengers: Endgame and Avengers: Infinity War saying on social media: "He throws every single storyboard artist he's ever worked with under the bus ... To use his legacy and power for this is just so disgusting."Samuel Deats, director of animated TV series Castlevania, added on social media: "There is absolutely no reason to need AI built on the stolen work of millions of artists to storyboard your vision, have some damn pride and respect your peers."The AI Wave in HollywoodWith this move, Scorsese has joined the swelling ranks of significant film industry figures who are endorsing and utilising AI. Steven Soderbergh used AI generated sequences in his recent documentary John Lennon: The Last Interview while Jurassic World Rebirth director Gareth Edwards described AI as "a fucking genius at helping you". Tribeca film festival co-founder Jane Rosenthal defended plans to screen Dreams of Violets, a fully AI-generated film about protesters in Iran, saying that "it's something that should be seen right now at this time".The Production RevolutionThere is no suggestion, however, that Scorsese is planning to use gen-AI images in a film, but rather as part of the preparatory process. In his statement he said: "I recently tested this out on a scene, and the ability to visualise and immediately share the storyboard was creatively freeing. During the preproduction process, time costs money, and this allowed us to move faster without sacrificing quality or craft."

The Abduction Incident Teachers in northern Nigeria have taken to the streets to protest the abduction of school children in the region. The incident has sparked widespread concern and outrage, with educators demanding that authorities take immediate action to ensure the safety of students. Protest and Demands The protest comes as a response to the growing number of school abductions in northern Nigeria, which has left parents and teachers fearing for the safety of children. The protesters are calling for improved security measures and swift action to rescue any children still being held captive. Impact on Education The abduction of school children has significant implications for education in the region. With many schools forced to close due to security concerns, students are at risk of missing out on critical learning opportunities. The protest highlights the urgent need for a solution to this crisis. Government Response The Nigerian government has faced criticism for its handling of the abduction crisis. Protesters are demanding a more robust response to ensure the safe release of the children and to prevent future incidents. Future Outlook As the situation continues to unfold, educators and parents in northern Nigeria remain hopeful that authorities will take decisive action to address the issue. The protest serves as a reminder of the critical importance of prioritizing student safety and security in the region.

The Tobacco Industry's Strategic Pivot to the Grocery AisleA comprehensive new investigation published in the American Journal of Public Health (AJPH) has exposed how titans of the tobacco industry seamlessly transitioned their controversial business practices into the food sector. After acquiring major food brands in the late 20th century, companies like RJ Reynolds and Philip Morris utilized the exact same playbook used to sell cigarettes to engineer and market ultra-processed foods (UPFs). This strategic crossover fundamentally altered the global food landscape, prioritizing consumer addiction over nutritional value.Engineering Addiction: From Nicotine to Hedonic FoodsAccording to Tera Fazzino, a psychology professor and addiction researcher at the University of Kansas, an analysis of over 100 previously secret industry documents proved that tobacco executives replicated their international tobacco strategies to build their food businesses. The primary focus was on optimizing product formulations to create a rapid, fleeting sense of reward.Maximizing Hedonic Impact: Formulations of carbohydrates and fats were optimized for rapid delivery to the brain's reward centers.Portion Manipulation: The introduction of king-sized food items directly mirrored the strategy behind king-sized cigarettes.Illusion of Health: The development of light and reduced-fat UPFs was borrowed directly from the tobacco industry's creation of light cigarettes, designed specifically to retain health-conscious customers who might otherwise quit.Targeting Children: Following Philip Morris's acquisition of Kraft in 1988, the company launched Lunchables. Laura Schmidt, a health policy professor at UC San Francisco, noted that product designers used psychological research to target children's underlying drives for independence, autonomy, and play.The Cognitive and Cardiovascular Toll of UPFsThe health ramifications of applying addiction-driven frameworks to everyday foods are now becoming undeniably clear. During the AJPH press briefing, Cindy Leung, a public health nutrition professor at Harvard, highlighted the severe cognitive risks associated with high UPF consumption. Because clinical trials on long-term nutrition are often impractical, experts rely on robust observational studies that are considered biologically plausible.The data reveals that individuals with diets high in UPFs face:A 58% higher risk of developing dementia.A 46% higher risk of developing mild cognitive impairment.An overall 47% higher risk of experiencing either of these cognitive decline outcomes.Furthermore, UPFs are heavily linked to a rise in cardiovascular diseases and certain cancers, drawing a grim parallel to the historical public health battles fought against the tobacco industry.Political Movements and Flawed Agricultural SubsidiesThe growing outrage over UPFs has fueled political movements like Make America Healthy Again (Maha). While experts like nutritionist Marion Nestle applaud the movement for shifting the blame away from a lack of personal willpower and onto the food industry, they warn that current policy directions are actively exacerbating the crisis.Instead of redirecting government corn subsidies toward whole fruits and vegetables, current policies continue to prop up the production of high fructose corn syrup, a cornerstone ingredient in UPFs. Additionally, efforts by the Trump administration to reduce enrollments in the Supplemental Nutrition Assistance Program (Snap) threaten to limit public access to affordable whole foods, pushing lower-income populations further toward cheap, ultra-processed alternatives.The Looming Regulatory Reckoning for Food ManufacturersAs the scientific evidence linking UPFs to severe health crises mounts, the food industry is facing a landscape increasingly reminiscent of the 1990s tobacco lawsuits. With Philip Morris having rebranded as Altria, and Kraft merging with Heinz to form Kraft-Heinz, these corporate giants may soon face intense regulatory scrutiny. As public awareness shifts from personal diet choices to systemic industry manipulation, we can expect a surge in legislative demands for transparent formulation practices, stricter marketing limits on child-targeted foods, and a fundamental overhaul of agricultural subsidies.