{"Data":{"DataType":"Article","FromName":"Richard Hachel","FromMail":"r.hachel@wanadou.fr","Subject":"[SR] Accelerated frames","References":[],"Newsgroups":["sci.physics.relativity"],"Body":"To determine the time increment dTo observable in the base frame, physicists subtract To2-To1 (which gives the segment CB in red on the drawing.\n\nNow, Doctor Hachel says that you have to take AB,\nwith AB=\u0394To=sqrt(\u0394Tr\u00b2+\u0394x\u00b2)\n\n[img]jntp:#DataID#\/Data.Media:1[\/img]\n\nThe problem that then arises is that OA+AB is greater than OB.\n\nIn short, it seems that the sum of the two times is not equal to the totality of time, which may seem absurd.\n\nWhat is happening?\n\nR.H. 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PulHU7g0ns1nqzrPZpNeOumMhqyQCFrDtjpe05yFj1c4yWuU6PfAWL+Y8zcFTf8uKNgiTcTdq9yaz5TitjUFZS7PhFxGrHAIW8K7WU9pLJGPVRcWj1c5R5DqGAq+6Yg3CZNxtD5fb96fP63FarYen52l\/vdXs1x8JqwwCFrDSwEVXB8hYFVeXaJX\/9XPKtTKLNAjjwVu6Cv3p9qmG7Q+pItbrPNeDc5iABYQgXWWRsaqpLtEqFB\/\/UfSXLv49ef\/H4QZhMv7+PsvBVPdrMMkdaPqiqwPSV9Thtt6HRR3dtHov4BN+p3JcXSDPCPeV+MdwXeuSr65DBQuaTro6rOj1TCjdemlgLapWa6e9Zor8AuZvEKajWGalK70rw7TKoYIFzaUtWIjrFV7fOlcdUb2fSynXBjjykivQIEzlp8xK10YAKzBMiwNUsKChpKv8LMa6vhottDrshF+rnHcp0CDc2DTLsQDGCQQsaCLpqigZ62ruIFqV+CI5sKsCZxCmN83aMlULk69KI2BB4zR2SvuZfJcuan3FllpHq1BSczDHHQs0CDe8\/N2ZcpXaVf\/bo3xVEgELmsWS9nNY8H4JNV3DnmnrtRGdYd8+Vza7fkdGYB2cchUPeqt81RnNt+djcToBC5pi6107SFfc2j1Fq6Wr\/U5tjHA\/WsBqffr8nrAmve747arOSTzoLuNVpz+dP6telamJJ8Wsfp+b98RpsiovuloeWmUO5zjvIeer9VCro8qqcS7HsGW80pJ40O6lOoShP5p\/fWwdikepy+Rs6\/RH374+PtQjXEVRbV4RAhbcv4oXrmoasEL1vpO1cN\/R6sIOpKSVzmh\/HSqJxz++\/5rM3nbQ6fQ\/f\/v66eFgMKsaAavSBCwapeLpKtQwYAVvI8VtLP0+urVvLHvUKGAZNAr3rPrpqqaWvRujR\/MoEK18M7kjAhbcpyovuqIhdANpMmcRwh2Srq7AyIYD7u\/0QChKBQvujbYgN6RqBUsCFtwV6eqarMRas4YdtghYcD+kK65PtIJMAhbcA4uubqXJRSzRCg4QsKD2pCuuTLSCowQsqDdtQa5m+8V29A5ejTSYgAU1Jl1VQRO6hMWi1f1+HyA\/AQvqSrriCkQrOI2ABfVj0RVXYKEVnMMkd6gZ6aqC7myq+3oOezCKHU6lggV1oi3I5VjDDiUSsKA2pCsuRLSC0mkRQj1IVxVX0y5huhsYNAShPCpYUHUWXXEJqlZwUQIWVJrCFaUTreAKBCyoLumKEmWUQo\/ex0sOTiVgQUVJV5SlcLTyYoOzCVhQRdIVpRCt4FYELKgWS9rrq1IXJbTQCm5LwIIKUbjifKIVVIGABVUhXXEOa9ihUgQsqATpipOJVlBBAhbcnnTFaUQrqCwBC27Jkna2RVGeDCRaQcUJWHAzCldsW74kDmYs0QpqQcCC25CuOGQnY2VeRtpQK6gsAQtuQLoi22IRdoKUaAV1JGDBtUlX5JIZrEQrqAkBC67HknaOyypiBQutoG4ELLgShSuOWr5I1q+MRQiRaAX1JGDBNUhXHJZ+hUSbGesQLySoKgELLk664oA9S62O8SqCahOw4LKkK\/bJPj1w\/QrZF7y8hKAOBCy4FNGKfY5Eq328hKA+BCy4COmKTAWiVfp0Qq8fqBsBC8onXTXWgZ\/1iVWrtzvLWFAvAhaUTLpiy+nRas9MLKD6BCwok3TF2r7TA70qoAkELChN+gPVh2iTlRmtlkUsLyeoGwELSqBwRTg40eqsl4SXE9SQgAXnkq64VLQCaus\/tz4AKisZd6OTDeKLHFISD7rdy+z7VNJVwy1f8Lu3L95c\/5CAKhCw2Gf+Ojv5vp0P7RKPJISQxONBN2q3e5NZKHvfZ5CumiwzWslVwJKAxR7J35cQQqc\/nc\/ni5T5qJPaqj9dbJhP+50Qwsd\/WiUdRTwedLtR1O4NJ8u81\/n8qaR9n2trSbvP1OY4EK1ucjxABQlY7DF\/nYXO6OfTQ6vV2r59badS1Wp\/CCH0\/30467GTeDwedKMoitq9X+Hzx3SkKy27nWHr89XHakOsO+Bbt4tWwC4Bi2zJ35fMMLMsbK3sqSad1SCMB1HU7g2Hk9AfTeeLxfPTpw9l7bsU2oINdHih1fWPB6g+AYts89dZViEq+fMrVcDaU006p8gU\/33pvCWrx4fW9kPeukEoXTWNaAWcxpgGsj08ZX56bDQIszqBrcfnsz51Hh6ft3a68ZA3bRBKV41y1qUDgcYTsChis0F4lW7dDR4yk0VXzSFaAefTIqSAk7t1y5MBU3O1ut1BnFz0IctjSXtDWMMOlEjAooATunVJPHibsjBL3Xk2m\/TaUXd8NGTdukGoLdgEFloBpROwyK9oty4Zd6N2bzJbjtPaGJS1NBt+ORKxNh7y3OkPhUlXd69S0SqJx4PNSm\/U7Xa7g\/E4X7kXqBIBi9yKdeuScbc9XG7fnz4\/Pay2bj08PU\/7661mv\/4c+ujYfMjrLsAyR\/S+VWoO+1uh99dL+Pbz5\/vc3vm3zx\/DZDjstS909SngYgQscivSrYsHb+kq9KdPW4Wn9odUEet1XtJDlsqiqztWsYVWSTzotnuTWac\/nT8\/Pz2kBvu2Wg+PT8+L+ahTgQFwQDHOIiSv+Pfk\/R+H3+6T8ff1tuf09W7RINQWvFeZrcBw6x9xPGj3JmFV5t2zTevT585rBa5gABRRYgUrGaeXDhSk\/F15eUa4r8Q\/huvC01n56uoNQunqLlVqodWGtz9FOqOvV15fCFxaiRWsjW5OQcrf1Ze\/W5eOYpk\/2fSuDv3or9wglK7uTzWrVmtvf4ocW9HYenx+us4RAaUpr4K1\/FTt9Kfz+XyRMh+lr9Tbny42rM4pq8IFfDmoQIMwlYsyPzg2AtiBT5aNh7x0g9CS9jtTqTXse7y9wm99ASjgEsqrYM1fZ6Ez+rk+Wyx9+9rOB3Or\/SHc4PR7iirQINzYNMuxAJb5kBetcVrSfjcqXrLacPQ3Baiz0gJW8vclsxCV54NZg7D6CnTr0ptmbZkqTB1MahuNxEv9ia8teDfqFK2ABiitRTh\/nWUVojaWKe\/7YNYgrLwCDcINL393plyldtX\/9rj\/J7\/xkJd5iUhX96G6a9iBBiutgvXwlPlOtlH4yOoEth6fvQNW3mYv40jaaX\/ohLD6sc9e5yGkt44HvVVu6ozme09L337IS9Q4pas7sC9XXf9ITtH65+PyN2Xn1wS4AxceNHrFZTRczmYd8tjPsfXp8\/t5DZNed32ZjyQedJfxqtOfzp8PVK9ylj5PZ0l73VVsWOhp1hN3J7\/NqYG7c9mAVezaKiGJB93u1lCsZDzoriZluRrXbSTpsVYhhNnrn+Tgz6L1+HOUvt5gr738NGz3JrPQ6Y+m8+edcyE2HjDZfsjJ7zg5\/JhFWNJeX+vJeVu31y1aLbUev62uGjX5fvy650DNLC4pdc253QkNm9LTHDqj+dv9Ozu3ne8KT\/wubA7YyHLohzKfjvqd1A46nf5oOj\/0Q9x4tZz4qEdc88VPfiEsjv409r0crnKAl5P6LTv8DgksFovF8feK6ogWF\/yzL3W53xA6o71NoY3tlm80Tw9bty5vK8Xyz99LPnGqyKKrylr+ZPb9QO799MB40O1NlvNG+9PdQTdAWhTtfa+omku2CHM1CJNxN2q\/fpun\/pDrfGiHkIy\/DAus+0ntMIkH3e7gtEPmXklXdVSHYaHne3h6Xg1cnk167ajbHYzjJC2Ox4Ouy4lBCCGExSLs+Zurci4ZsPKMTop\/\/Po4XWz80db5\/Km1Fa\/yrXJO4vGgG7XbvcksfDjxmLlHlrTXzh0ttMqj9fD0vFjMp6NRvxPCZNhrv\/ny5cuPv3\/\/+fpcWgUfuJISr0W4LdfopIen5+23jY\/\/hPGX4ey9XJ7Egy+\/DzxQEo9\/fP81mW2Uy04\/bu6LJe01cu\/dwMNaD4+PD4+Ptz4MoByXq2AVuLZKCKlyV+fD3x\/DWWf0fqZZ6+HpefevtyQer04wbPd+hc8f0wuyTS4l7FRBmvEhXWOGhQL35HIBq8C1VUIqjnU+vv6adEY\/Dw5JigdR1O4Nh5PQH03ni8Xz06d0T9DALSy6qo0DVSs\/NaC+LtYiLHhtlXUcm00moT99PpjH4r8vnf7o29fH9dKtggO3uHPSVS3Uew47wEGXClgFG4TpzTujr0dWcz48bi\/cKlYu465pC1afaAXcvUsFrIINwlQB6pT6kyvysCJdVdm+biDA\/blQwDq1QRhC\/9vB1VeZNAjRFqy2w6cHyl3A\/blMwNqoKB0vYKXi2EnlJw3CxpOuKqvZkxeA5rpIwNqoKB3PTKk4dlL5aSPO9f81jq9ppKtqstAKaLILjGlI4h8bU9hnr3+SQxeKT8exU8pPmw1CC7AaxpT2CmrYHHaADCUGrGTcjZZzPyebX5gM2+0oiqKoO84KWqkGnwYhhVjSXinRm63bRSuggaLav\/El4257XTHrT3NcsWv5AVD7J95s2oKVcuZCq+W9\/QyBPKKoHm8XF7wW4XVoEDaQdFUd1rADZKp9wNIgbBrpqiKsYQc4oO4Ba2PgljMI755FVzenZAWQR80DlhHuTSJd3ZZoBZBfzQNWukFohPv90ha8LdEKoKh6B6yNBqEFWHdKurohC60ATlPrgKVBeP+kq1sRrQDOUeeAtXlFHgWs+2PR1fXpBgKU4gKXyrmKJNm+Is\/kd5wcvCQP9SJdXVnmEPZgDjvASWo2yT0eRNsX4snUGS2eH\/d90ST3itMWvLKbV61Mcgfyq8sk95oFrFIIWFUmXV1TRRZaCVhAfnUJWHVeg8Xdka6upiLRCuBeCVhUhUVXV3DzbiBAQwhYVIJ0dWmiFcA1CVjcmLbgpYlWANcnYHFL0tVFWWgFcCsCFjcjXV2OaAVwWwIWt2HR1SXoBgJUhIDFDUhXpROtACpFwOKqtAVLJ1oBVJCAxfVIV+Wy0AqgsgQsrkS6KpFoBVBxAhbXYNFVKXQDAepCwOLipKvziVYA9SJgcUHagucTrQDqSMDiUqSrM1loBVBfAhYXIV2dTMkK4A4IWJTPoqvTiFYAd0PAomTS1QlEK4A7I2BRGm3BE1hoBXCXBCzKIV0VJVoB3DEBixJIV\/npBgI0gYDFuSy6ykm0AmgOAYuzSFd5iFYATSNgcSJtwTwstAJoJgGLU0hXR4lWAE0mYFGYdHWAbiAAQcCiKIuu9hGtAFgTsChAusokWgGwRcAiF23BTBZaAZBJwOI46WqXaAXAAQIWR0hXabqBAOQhYHGIRVdrohUA+QlY7CVdLYlWABQlYJFNugoWWgFwKgGLbRZdBdEKgPMIWGxoeLrSDQSgFP+59QFQIU1OV1EU7ata5fs+JONudLJBfObhJ\/F40E0dQLfbHYzj5My9AnAqAYuVrUVXzUlXZ0erpfnr7ORD6Hxon3zfkMSDbtTuDSez1AHMZrPJsNeOumdHNwBOIWARQlOXtGdGq8WbYvtK\/r6EEDr96Xw+X6TMR53UVv3pYsN82u+EED7+0zr5ScQ\/epP90W426XXHClkAVydgNd1WyGhIujoQrU7c4\/x1Fjqjn08PrVZr+\/a1nUpVq\/0hhND\/9+HERw0h\/j0JIXT6o\/dct0ptb2bDLyIWwLVZ5N5oTVt0dbk17Mnfl8xC1LKwtdL5\/CmrUnVOgzD+PQmd0fz5MbXj1sPT8zREvcnbDbPXeQin18gAKE4Fq7kala5KWmi11\/x1llWISv78ShWw9nQCT28QJuPvk9D\/9rh7\/4d\/+6l\/vfxVwgK4LhWshmpOW\/A6kxcenjJ3t9EgzOoEth6fTz+M5M+vWX\/6nNlfbH\/ohHD6snsAziNgNVFD0tXth4VuNgjPOVUwU+50ds4iegBOoUXYLE1Y0r6eBbV1+\/VnT2w0CPcswMq+YzwedDfHWg0KDrVK187OWUQPwEkErAa5+0VXl15oVdRGgzBfFSmJB91oNdVqY6zVpNeOCgxcWJ5cGEIIoTP6Kl8BXJuA1RT3na6qFq1CCMUbhMm4G7V7k9lynFbGyIX8Axfe81Vn9DNjDTwAFyZgNcIdT2kvc1houYo1CJNxtz1cbt+fPj89rLZuPTw9T99PCJz9+pMjYcWDtxEN\/emzeAVwCwLW\/bvXRVcVWWi1V5EGYTx4Szb6mU4AABs8SURBVFehP33a6ui1P6SKWK\/zY4+bjL8v41VnNN\/eFQBX4izCe3aXbcHrjF04X2oV1LEG4ToShfMXpCfjL8NZCDvTRwG4KgHrbt1fuqpLtAoh5BvhvhL\/GK5rXWfmq1UlTLoCuDUtwvt0Z+mqkmvYD8vfIExHscxKV3pXh0phybjbm4TQn0pXADcnYN2he1rSXt017IcVaBCm8lNmpWsjgO0vhcWD9nDW6U8X6wXyANyOFuG9uZsl7befw36GAg3CjU2zHAtgIayKVxqDANUhYN2P+2gL1mqh1V4FziBMb5q1ZXpkaHa+Ssbd9jBIVwBVokV4J+4gXdVwodU+BRqEG17+7ky5Su2q\/y0jQSXjbnv48dCyqyRJkmKX2QHgbALWPah7urqjaBVC2O76HRmBdXDK1fvI0MyhVm\/TSSe9drRXu93+kmc8KQAlErBqr9ZL2uu6hv2gjRHuRwtYrU+f3xPWpNcdv13VOYkH3WW86mSeGJia\/X5EketMA1AKAave6rukvepz2E+WpMdahRBmr38Od+hajz9H6esNvlWj2r3JLHT6o+n8effEwHiQN12FvNeZBqBEUe0\/z4pbfq7X\/YnXtC14H2vYsxwvKB06yy+Jxz++\/5rM3nbQ6fQ\/f\/v66aGVuX08iHqTrC9k6k8XFb9kzvJFUfuXAHAVUVSPtwsBq5bqmK7uN1pxLgELyK8uAcuYhvqpXboSrQBoGgGrZuq16KrWw0IB4GQCVp3UKF2JVgA0mYBVD3VpC+oGAkAQsGqhFulKtAKANQGr6qqfrkQrANgiYFVaxRddWWgFAJkErOqqbLpSsgKAwwSsKqpsW1C0AoA8BKzKqWa6Eq0AID8Bq1oqmK4stAKAogSsCqnaoivRCgBOI2BVRXXSlW4gAJxJwLq96rQFRSsAKIWAdWMVSVeiFQCUSMC6pSqkKwutAKB0AtbN3HzRlWgFABciYN3GDdOVbiAAXJqAdW03bAuKVgBwHQLWVd0qXYlWAHBNAtb13CRdWWgFVEQURd58aA4B60quv+hKtAKqY\/mOJGPRHALWNVwzXekGAlUmY9EQAtZlXbMtKFoB1bT17iRj0QQC1gVdLV2JVgBQKQLWpVwnXVloBVRc5tuUIhZ3T8C6iCssuhKtgOrbfTPcV3GHO\/OfWx\/AHbpouorebN2+WCykK6Cydt+giiWtZDzodldvf93uOE52NohXG3THO1+DG2hikXb5W32JJ37RtqCFVtyr5UvbC\/n+7Ptrc3177reveBD1Jps39aeLp4f3r3d7k1nGF7hDUVSPtwsVrNJcLl1llqyCqhVQYXlq+TmLWPFgO12FECbf3ypVyfg9XYXQ\/1e6ohIErHJcKF0d6AaKVkAt7L5ZFXr7SuLB95fRdL5YLBaL+bS\/\/sLsdR5CSMbd9nDWWW0w7XdKOWY4nxZhaTtcKmW3uoE0ihbh\/Tn6rnjy2+YyUC3\/vz+dhl7vpT991hNskrq0CAWscva2dP4+RSsaSMC6MznfFYuvxAohbCasYMVVE9UlYGkRnm6rf3dmBrLQCrgzOd+7ip1O2Prn4\/r\/O6O5dEVVCVgnKnHRlYVWwN3In5YyzyvMof3BOivqQMA6RVnpykQr4J4ULeqf9F6XKmEt17lDJQlYhW29g5zwBmFYKHDfTntjzLVdMv7+PrPh5a+holSVgFXMmYuuLLQC7tVp18ApuMI9HrSHH\/vrWQ2zX38kLCpKwMrrzCXtohVwx0o54+dYRIsH7d7LaP709X0VVjphJeOuy+RQHQJWLucsurKGHWiOE97WDtwlHkSDOIQQknjcjXqT\/vT5sRVanz6\/J6zhjzhZfr09DJ8\/tU47bCidOVh5t187+Y5F7w4NYQ5W3Z1fvtq3h3E3ep951RnNnx+XAWprGFYIIYT+dP70IF81gDlYd+KEJe3WsAPNUUpzcN8dX9\/T1bJ4tZKuYYUQQmc0X0hXVIuAdUjRNw4LrYBG2XrHi86Quc+XEEIInf5ovnU1nNbjz9HyuoOd\/mg6T2UvqAgtwkPbrB39Lu1bm9nAby8UpUVYa6edPHiYd04OqEuL8L9ufQBVVChdWWgFNNlisSgrYy135f2T+yBgbcufrkQrgFDq+563UO6GgLUhz6Ir3UAA4DAB693RdCVaAQB5CFgh5GgLilYAQH4C1pF0ZaEVAFBU0wPWgXQlWgEAp2l0wMpcdKUbCACcqbkBazddiVZwY1GIQvlTK4G7U4PP5eYGrLTDU\/IuMacY2BYtQgiLOrxvAjdUlz\/DahmwJB4AaKa6\/BnmYs\/A7dXlHRMgpyZe9cnpgVApq4s93\/owgDqp\/FtGEwNWyHdJHOCqdP6BnOrwud3QFuEi5dbHAitJPOh2o5XuYBwntz6i61r4z3\/+81++\/+qgoRUsqJx4EPUmW7f1p4unh5scDQBnaWgFC6om\/j3pjKbzxWKxWMxH\/eWNk+\/jhlWxAO6EgEVVJeNuFEVRtyER4\/vL6OfjQyuEEELr8euoE0IIYfY6v+VBAXAiAYsrS5J40O0O4qPb\/fk1CyF0Pn9qbX8lHqfWKkVRt3uh9UqriHea489w0\/Pz4\/YTBaC27iNgJfF4POh2u5sfh91udzAYN26lcHUl8XjQjdrt3mQWPrSPbZyZr5J40I3aveFkNnu\/cTabTYa9dpQjtRUzf50d32iPztFnmOuhz9wNADdS84C1\/MiOvnx\/Df\/+\/Pn8vD41cD6fTz9\/DJPJcNhrN\/KMrAp5qzi1e8PJKjbslqW2xD+GsxBC\/9tGWSf+0ZvszzyzSa\/UfmLy9yWE0OlP5\/N5+rzT+ap9t9SfLjbMp\/1OCOHjP+fUo+Lfy+XuW88fgNpY1Nbqg2y9MHjPRu8fhp3RgQ0p23w6GvVX3\/xOf\/2\/IYTdULJj2s\/abnlrpz96DzyrV8G7En\/K03727lYHt+\/x5qNOjmd4yFuCO2snANxSXStYybjb7k1mndH8+W1hcKbWw+Pz2wfibNguvYlEpngQRe3ecDgJ\/dF0vlg8P336kPry0b7XqoDT\/\/dh+9bOaP789Nha\/8hbD0\/PG4GnvFXhyd+XzELUsrC1sqcWd05nLxl\/WVbvpiY0ANRWPQNWPGgPZyH0p\/nWBT88vZUEZpOeiHV58d+XzluyWubf1YqqpaMNwsx8lYy\/T7JbZg\/\/phPWy9+SuoTz19l2xAth66ns6wSe3iBcxSsDsABq7tYltBOsChbFekGpKofGy\/VtFJmO\/QAy+4PzUWfvHTcWRV26E1zoqZy28\/6hrjcAdVC\/ClYy\/j4JIc866Q0PX9cfwpPfilhXttlVO9I+y+4Pth6f89V0zltdflShp1Jw1+NubxI6o\/nToa43AHVQu4D11qApmK9CaH363OyElaSGR3W7GWdVrq+EV\/poz0INwux8dVB6nMLR+21e8K87GMdJksSDbr7BVcV6nesHS+87GQ+6q0lZ6e9zPGgPl4sKpSuAO3DrElpRbw2aE3oz772dBp5PuNHYyvgWpk\/G6083BxHkcuh7WqSrln3+YN7ndvgnu3PK4d5vRxlPJf1NXB9X6gi2jrX4txWA6qpbBWujQVNQ+8PbZ1vjrj8SD3YuI5y+zl0y7qbmSxWpHeWy8UM7svcT6ldvM6NC6Ix+7i3\/JONBt92bvK9vms+n6dkR+R4xb4MwGXej9vC91rXsW25+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