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arXiv 1107.3446physics.class-ph
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Classical Physics中零点辐射的黑体辐射谱和相对论时空结构

The Blackbody Radiation Spectrum Follows from Zero-Point Radiation and the Structure of Relativistic Spacetime in Classical Physics

Timothy H. Boyer

摘要:

本文的分析完全在经典物理学范围内。任何试图在经典物理学中描述自然的尝试都需要洛伦兹不变的经典电磁零点辐射的存在,以便解释低温下平行导体板之间的卡西米尔力。此外,共形对称将麦克斯韦方程组的解带入解。在惯性系中,共形对称使零点辐射不变,并且不将其与非零温度联系起来;时间膨胀共形变换将洛伦兹不变的零点辐射光谱携带到零点辐射,并将非零温度下的热辐射光谱携带到不同的非零温度下的热辐射。然而,在非惯性系中,时间膨胀保角变换将经典的零点辐射转化为有限非零温度下的热辐射。取无加速极限,由加速系的热辐射谱可得到惯性系中黑体辐射的普朗克辐射谱。在这里,零点辐射和热辐射之间的这种联系被说明为一个标量辐射场在一个Rindler框架经历相对论性均匀适当的加速通过平坦的时空在两个时空维度。分析表明,热辐射的普朗克辐射谱是由经典物理学中的零点辐射和相对论时空结构所决定的。

英文摘要:

The analysis of this article is entirely within classical physics. Any attempt to describe nature within classical physics requires the presence of Lorentz-invariant classical electromagnetic zero-point radiation so as to account for the Casimir forces between parallel conducting plates at low temperatures. Furthermore, conformal symmetry carries solutions of Maxwell's equations into solutions. In an inertial frame, conformal symmetry leaves zero-point radiation invariant and does not connect it to non-zero-temperature; time-dilating conformal transformations carry the Lorentz-invariant zero-point radiation spectrum into zero-point radiation and carry the thermal radiation spectrum at non-zero temperature into thermal radiation at a different non-zero-temperature. However, in a non-inertial frame, a time-dilating conformal transformation carries classical zero-point radiation into thermal radiation at a finite non-zero-temperature. By taking the no-acceleration limit, one can obtain the Planck radiation spectrum for blackbody radiation in an inertial frame from the thermal radiation spectrum in an accelerating frame. Here this connection between zero-point radiation and thermal radiation is illustrated for a scalar radiation field in a Rindler frame undergoing relativistic uniform proper acceleration through flat spacetime in two spacetime dimensions. The analysis indicates that the Planck radiation spectrum for thermal radiation follows from zero-point radiation and the structure of relativistic spacetime in classical physics.

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