<div style="font-family: Arial, sans-serif; font-size: 14px;">Hi Jack,</div><div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><div style="font-family: Arial, sans-serif; font-size: 14px;">Thank you for a very interesting paper. QM isn't my area, so please excuse me if what follows is uninformed.</div><div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><div style="font-family: Arial, sans-serif; font-size: 14px;">In the conclusion you state:</div><div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><blockquote style="border-left: 3px solid rgb(200, 200, 200); border-top-color: rgb(200, 200, 200); border-right-color: rgb(200, 200, 200); border-bottom-color: rgb(200, 200, 200); padding-left: 10px; color: rgb(102, 102, 102);"><div style="font-family: Arial, sans-serif; font-size: 14px;"><span>This study supports the thesis that Schrödinger’s equation involves fields with charge and mass distributed as the normalized intensity function.</span></div></blockquote><div style="font-family: Arial, sans-serif; font-size: 14px;"><span><br></span></div><div style="font-family: Arial, sans-serif; font-size: 14px;">However, in a <a href="https://en.wikipedia.org/wiki/Mach%E2%80%93Zehnder_interferometer" title="Mach-Zehnder interferometer,">Mach-Zehnder interferometer,</a><span> when we send a single electron through and measure how much charge goes down each branch, e.g. using a pickup coil on each branch, we only ever find that all of it went down one path or the other, we never measure a fraction of an electron charge in either branch.</span></div><div style="font-family: Arial, sans-serif; font-size: 14px;"><span><span><br></span></span></div><div style="font-family: Arial, sans-serif; font-size: 14px;"><span><span>This property is used in an <a href="https://en.wikipedia.org/wiki/Elitzur%E2%80%93Vaidman_bomb_tester" title="Elitzur–Vaidman bomb tester">Elitzur–Vaidman bomb tester</a>. In one path potentially has a bomb that is maximally sensitive: if it detects even the smallest amount of charge or mass in that path, it absorbs it and detonates. However, with high probability, we can determine the presence or absence of the bomb without blowing it up.</span></span></div><div style="font-family: Arial, sans-serif; font-size: 14px;"><span><span><span><br></span></span></span></div><div style="font-family: Arial, sans-serif; font-size: 14px;"><span>To me, this suggests that, while <i>something</i> seems to be traveling through both arms of the bomb tester, we can't think of it as distributed charge or mass.</span></div><div style="font-family: Arial, sans-serif; font-size: 14px;"><span><br></span></div><div style="font-family: Arial, sans-serif; font-size: 14px;">In your email you say "quanta must be divisible, but that this divisibility is always hidden, since quanta can only be detected as whole units." In what sense are they divisible if we can never observe them divided, but instead only as whole units?</div><div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><div style="font-family: Arial, sans-serif; font-size: 14px;">Outside of state collapse aka measurement, it is my understanding that phenomena behave as waves. It is only during state collapse that things are detected as whole units, and this is the essence of the wave-particle duality (acting as divided outside of collapse, and a whole unit right after collapse.)</div><div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><div style="font-family: Arial, sans-serif; font-size: 14px;">Forgive me if I've misunderstood your point.</div><div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><div style="">What is the experiment you wish to run?</div>
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<div style="font-family: Arial, sans-serif; font-size: 14px;"><br></div><div style="font-family: Arial, sans-serif; font-size: 14px;">Best,</div><div style="font-family: Arial, sans-serif; font-size: 14px;">Martin</div><div class="protonmail_quote">
On Monday, April 14th, 2025 at 9:44 AM, Jack Mroczkowski via LCTG <lctg@lists.toku.us> wrote:<br>
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<div dir="ltr"><div dir="ltr">Good Morning Fellow Scientists/Technologists in LCTG</div><div> As an outcome of fundamental physics work published in AIP's Advances, I have come to what some might describe as a heretical belief that quanta ("particles" or light) must be divisible, but that this divisibility is always hidden, since quanta can only be detected as whole units.</div><div> A conceptually simple experiment could verify this thesis indirectly, and I would love to have the opportunity to do this in partnership with a small business that has the necessary equipment. The first steps would be to 1. Convince a partner business the experiment has merit. 2 Write a 2 page proposal to an agency that provides seed funding like NSF.</div><div> I have attached a copy of my recent research, published in February, that was partly responsible for the idea.</div><div> I am retired living in Bedford MA. The only reasons for doing this is scientific curiosity and hopefully to advance science. <b><font color="#0000ff">Does anyone know a small business that might be a candidate?</font></b></div><div> Regards</div><div>Jacek Mroczkowski (PhD)</div><div>Member of LCTG</div><div> </div><div dir="ltr"> </div><div dir="ltr"><br></div>
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