空氣中的高頻噪音
戴榕菁
今年進入八月後,我對麵的一家的空調突然出現了一種過去從未有過的頻率較高的噪音,因為它直接打到我的屋子,盡管不是那種特別高的頻率也讓我感到比較刺耳。但我也不好意思專門走到人家的空調機旁邊去探個究竟。進入九月後,那家不怎麽開空調了,那個噪音也跟著消失了。可幾天後,在我隔壁樓下傳來的同樣的高頻噪音,因為離我更近[
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戴榕菁
同是人類對於自然的知識,同是人類探索真理的結果,定理與定律對應著非常不同的邏輯並反映出非常不同的態度。
首先,它們最基本的區別為:定理是數學的內容,定律是物理學的內容。數學是人類可以通過邏輯來直接把握的,而物理則需要通過一個個實驗來不斷摸索的,在摸索的過程還會碰到大量的巧合與意外。
上述這些基本區別導致了定律與定理背後邏[
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戴榕菁
前文“邏輯上錯誤的理論‘蒙’出正確結果的原因”【[1]】中討論了邏輯錯誤的理論可以蒙對結果的幾個原因,並由此指出了一個眾所周知的結論:邏輯是一致的,不可能在某個地方錯誤的邏輯換個地方就對了。但是,具體的邏輯前提可能會發生變化。所以,說當一個理論存在著明顯的邏輯錯誤時,它就不可能再作為一般性理論而普適地正確,但是[
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戴榕菁
過去兩年多時間裏本博客的一項極為重要的工程便是逐一地揭示20世紀物理學的一個個令人瞠目結舌的荒誕錯誤,從而打破之前人們對於20世紀物理學的盲目迷信。但另一方麵,隨著20世紀物理學(主要是理論物理)的各種錯誤的曝光,也給認識到那些錯誤確實存在的人們帶來這樣一個問題:為什麽那些在邏輯上有著明顯錯誤的理論有時還能得出相當不錯的結果呢?
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戴榕菁經曆了夢幻般的20世紀後,今天的主流物理學界居然還對自己的理論體係信心滿滿。薛定諤方程的推導過程充滿邏輯缺陷,費曼居然可以大大咧咧地說,薛定諤用的是Heuristic(啟發式)方法,盡管其論證存在一些邏輯上有問題的論點,但重要的是薛定諤方程正確描述自然。費曼他自己的理論更牛,當積分結果出現不收斂的奇異時,他就幹脆把奇異部分刪去,用相關的實驗[
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人口老年化與退休年齡
戴榕菁
隨著世界人口平均壽命的提高,所謂的人口老年化的話題也越來越時髦,而各國應對這個問題的一個相當一致的做法居然是----提高退休年齡,有的甚至會通過給以往的老年人冠之以“壯生代”頭銜來讓提高退休年齡的做法聽上去合理化。
這裏的邏輯檻是:這些國家都解決了青壯年失業問題了嗎?這些國家的大學生就業問題不存在了[
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前一陣貼出“探秘薛定諤方程的推導”【[1]】一文後,有人在某網站該文下麵留言說“薛定諤方程的推導,對科學的世界觀和方法論的研究有非常重要的作用,擴充一下,足以寫一本書”。我看了之後感到很好笑,因為我可以看出那個人對我的博客缺乏基本的了解。
那篇文章能寫成一本書又怎麽樣?假如有人能把本博客的文章都讀懂了,那麽他可以寫不知多[
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要說人類能夠表現出遠見的活動,那一定非各種古典的棋類活動莫屬。在高端的棋類比賽中,棋手們算出幾十步來不是新鮮事。其次可能就是各種比較經典的諸如橋牌之類的牌類活動。再次可能就是包括純數學在內的與數學有關的科研活動等。有一類活動,它常給人們一種參與其中的人都是遠見卓識,但實際上其中人們的目光短淺常會令人詫異。這些活動中的所謂遠見卓識通[
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戴榕菁前不久在網上學到了一個詞匯“ControlledOpposition”,網上對此有不同的中文翻譯,我將它譯成“受控反對派”。這個詞匯讓我想起2023年前聯邦調查局探員JohndeSouza在談論地球上的外星人時提到的一個詞匯,叫做“Triangulation”,網上對此也有不同的中文翻譯,我將它譯成“三角操控”。網上可查到關於“ControlledOpposition”和“Triangulation&rdquo[
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)
戴榕菁
1.關於標題的解釋
原本想用“揭密薛定諤方程的推導”為本文的標題,意思是想要揭示薛定諤在他的諾貝爾獲獎文章中所給出的對他的那個後來成為量子力學之基礎的方程的推導之真相。後來轉念一想,既然人家自己在獲獎文章中沒有明說,縱然我這裏將要演示的確實是薛定諤當初的思路,我也不能用“揭密”這個詞,因為要說揭一個與人家本人的陳述[
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