First of all, we would like to warn our dear readers that this subject is extremely important and complex, and has not been the subject of any theory since Wallace Sabine's experimental study 100 years ago.
We believe that most of our readers will be astonished and completely baffled, but if they took the risk and succeeded, they would find classical and quantum physics, mathematics, and even the theory of general relativity as simple as a children's story.
The starting point is W. Sabine's experimental formula for the reverberation time TR in a volume-controlled listening room:
TR = 4 V/6 C·A·S. . . .(1)
Where V is the volume of the listening room, S is the absorption or scattering of sound on the internal walls, and C is the speed of sound. For any regular geometric shape, it is valid for a cube TR = 2V/3 (CA S), for a hollow hemisphere TR = 2V/3 (CA S), for a hollow cylinder TR = 2V/3 (CA S), for a rectangular pyramid TR = 2V/3 (CA S), etc.
Equation 1 is a universal law of physics that has no mathematical proof.
An important property is that sound energy causes spacetime to curve in the same way that general relativity's theory of gravity, energy, stress, and strain does.
∇2xx ∇2xy ∇2xz ∇2xt
∇2yx ∇2yy ∇2yz ∇2yt
∇2zx ∇2zy ∇2zz ∇ zt
∇2tx ∇2ty ∇ 2tz ∇2tt
x
Cxy Cxy Cxz Cxt
Cyx Cyy Cyz Cyt
Czx Czy Czz Czt
Ctx Cty Ctz Ctt
= I (unit matrix) . . . Equation 2
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To be continued.