Please check my quantum physics browser game for accuracy
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Source: I am a nuclear physicist.<p>Full disclosure: I didn&#x27;t play.  I&#x27;m not launching a Java applet.  So I&#x27;m just reading your description for physics content.<p>&gt; (The independence of quantum systems from absolute phase is called gauge symmetry)<p>Gauge symmetry isn&#x27;t the independence of the global phase---it&#x27;s the independence of a spacetime-dependent phase.  This is a much <i>much</i> bigger symmetry than the independence of global absolute phase.<p>&gt; Until that question is answered, then we can’t rule out the possibility that consciousness does have something to do with it.<p>Are you sure you only read Feynman?  This is an extreme fringe position.  I don&#x27;t know any physicists who actually holds this position, unless they&#x27;re trying to get on TV.<p>&gt; Interestingly, the Schrodinger equation states that a particle can’t exist at all in a place with more potential than the particle has energy.  It will simply “jump” down any available holes to satisfy the equation.  The same jumping behaviour is what gives rise to tunelling, when a particle jumps as if by magic from one hole to another.<p>That&#x27;s exactly the opposite of what the Schrodinger equation says!  A particle <i>can</i> exist in a place where the potential energy is more than the total energy.  That cannot happen classically, but is allowed quantum-mechanically.  However, the wavefunction dies off exponentially fast.  But it&#x27;s never 0 unless the potential is infinite.  That&#x27;s what allows tunneling---the exponentially small tail is real.<p>There is no &quot;jumping&quot; in quantum mechanics.  The Schrodinger equation implies the continuity equation [continuity].